Given ⊙K with secants NS and NR, which expression represents PS?

Given K With Secants NS And NR, Which Expression Represents PS?

Answers

Answer 1

An expression that represent PS include the following: C. (NP + NQ + QR)/NR - NR.

What is the Tangent Secant Theorem?

In Mathematics and Geometry, the Tangent Secant Theorem states that if a secant segment and a tangent segment are drawn to an external point outside a circle, then, the product of the length of the external segment and the secant segment's length would be equal to the square of the tangent segment's length.

By applying the Tangent Secant Theorem to this circle, we have the following:

NP × PS = NQ × QR

PS = (NQ × QR)/NP

In terms of line segment NR, the expression can be rewritten as follows;

(NP + NQ + QR)/NR - NR

Read more on Tangent Secant Theorem here: https://brainly.com/question/26826991

#SPJ1


Related Questions

A manufacturer cuts a piece of metal for a microscope. The resulting piece of metal can be
represented in a coordinate plane by a triangle with vertices A (8,8), B(5, 3), and C(11,3)
. One unit in the coordinate plane represents one millimeter.
Prove that AABC is isosceles.
Find the exact length of each side.
AB =
BC =
AC =

Answers

We can actually see here that the triangle ABC is an isosceles triangle. This is because two sides of the triangle are equal.

What is an isosceles triangle?

An isosceles triangle is actually a geometric shape having three sides, two of which are equal in length. Consequently, two of the angles that are across from those sides are also equal.

In order to prove that the triangle is an isosceles triangle, we will find the following:

Distance between  vertices A and B:

AB = √((8-5)² + (8-3)²) = √(3² + 5²) = √34 = 5.83mm

Then, we also find the distance between vertices B and C:

BC = √((11-5)² + (3-3)²) = 6mm

Finally, we find the distance between vertices A and C:

AC = √((11-8)² + (3-8)²) = √(3² + 5²) = √34  = 5.83mm

Thus, we see here that AB and AC are actually equal which makes the triangle an isosceles.

Learn more about isosceles triangle on https://brainly.com/question/1475130

#SPJ1

Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run?

A 2-column table with 4 rows. Column 1 is labeled Situation with entries increasing, difference, finding part of a total, sharing or grouping. Column 2 is labeled Operation with entries +, minus, times, divided by.

Select all that apply.
You know the difference in the distances the boys ran, so this is a subtraction problem.
You are finding the total distance the boys ran, so this is an addition problem.
Dean ran part of the distance Sam ran, so this is a multiplication problem.
The correct equation is s + 2.3 = 6.8.
The correct equation is s – 2.3 = 6.8.
The correct equation is 2.3s = 6.8.

Answers

Answer:

A,E

Step-by-step explanation:

Operation: Minus

To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.

6.8 km - 2.3 km = 4.5 km

Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.

Answer:

a and e

Step-by-step explanation:

got it right on homework

Please find the surface area of this figure. Ps pls show your work on how you got your answer or explain.

Answers

Answer:

2(1/2)(11)(13) + 2(1/2)(10)(13.2) + 10(11)

= 143 + 132 + 110 = 385 square feet

B is the correct answer.

help please

(instructions: chose from the word bank below to describe the type of multiplication being used. you may use an answer more than once.)

[ identity commutative associative inverse distributive]


1. 14 x 6 = 6 x 14 ________
2. 4(5 + 7) = (4 x 5) + (4 x 7) ________
3. 8 x 1 = 8 ________
4. 7 x (6 x 2) = (7 x 6) x 2 ________
5. 12 x 3 = 3 x 12 ________
6. 1/8 x 8/1 = 1 ________
7. 1 x 9 = 9 ________
8. 3 x (7 x 2) = (3 x 7) x 2 ________
9. 2(8 + 5) = (2 x 8 ) + (2 x 5) ________





(page 2)


(instructions: choose the correct multiplication property for the problems below)



10. which property is demonstrated below?
12 x 1 = 12
A. identity
B. commutative
C. associative
D. inverse
E. distributive
11. which property is demonstrated below?
2/5 x 5/2 = 1

A. identity
B. commutative
C. associative
D. inverse
E. distributive

12. which property is demonstrated below
5 x 8 = 8 x 5

A. identity
B. commutative
C. associative
D. inverse
E. distributive


13. which property is demonstrated below?
8 x (7 x 9) = (8 x 7) x 9

A. identity
B. commutative
C. associative
D. inverse
E. distributive



14.which property is demonstrated below?
4(6 + 3) = (4 x 6) + (4 x 3)

A. identity
B. commutative
C. associative
D. inverse
E. distributive

Answers

The blanks are filled as follows

1. Commutative

2. Distributive

3. Identity

4. Associative

5. Commutative

6. Inverse

7. Identity

8. Associative

9. Distributive

10. A. Identity

11. A. Identity

12. B. Commutative

13. C. Associative

14. E. Distributive

What is distributive law of multiplication?

The distributive law of multiplication is a distinct attribute in mathematics that distinguishes how multiplication interacts with the operations of addition or subtraction.

It is exemplified in the problem as

2(8 + 5) = (2 x 8 ) + (2 x 5

Learn more about distributive property at

https://brainly.com/question/2807928

#SPJ1

What is 3/10 + 1/4 + 4/5 enter your answer in the box as a mixed number in simplest form

Answers

The LCD is 20 so your answer should be
(27/20)or (1 and 7/20)

Answer:

[tex]1 \frac{7}{20} [/tex]

Step-by-step explanation:

Well you should find a common denominator for 10, 4 and 5 first to be able to mix them. Let's take 20 because it's the smallest number we can convert 10, and 4 and 5 to.

So

[tex] \frac{3 \times 2}{10 \times 2} + \frac{1 \times 5}{4 \times 5} + \frac{4 \times 4}{5 \times 4} [/tex]

And you get

6/20 + 5/20 + 16/20 (now you can add them because they all have 20 as denominator) so = 27/20 = 1 7/20

Which pair of points are both located less than 3 units from the point (3,8) on a coordinate grid?

Answers

The required pair of points that are both located less than 3 units from points (3, 8) is (2, 7).

Following the condition given in the question,
Assuming there are 3 points on the graph beside (3, 8) are (2, 7), (5, 5), and (6, 10)

The distance formula between two points is given by:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

So, for each point, we can plug in the coordinates and simplify the following:

Point (2, 7):

d = √[(2 - 3)² + (7 - 8)²]

d = √[1² + 1²]

d = √2  (<3)

Points (6, 10):

d = √[(6 - 3)² + (10 - 8)²]

d = √[3² + 2²]

d = √13  (>3)

Point (5, 5):

d = √[(5 - 3)² + (5 - 8)²]

d = √[2² + 3²]

d = √13   (>3)

Point (1, 1):

d = √[(1 - 3)² + (1 - 8)²]

d = √[(-2)² + (-7)²]

d = √53  (>3)

Thus, the pair of points that are both located less than 3 units from points (3, 8) is (2, 7).

Learn more about coordinate here:

https://brainly.com/question/16634867

#SPJ1

Do the following using Matlab: Generate 10 numbers between 1 and 6, calculate the mean. Generate 100 numbers between 1 and 6. calculate the mean. Generate 1000 numbers between 1 and 6, calculate the mean. There is a command in Matlab to generate numbers. Do not include the numbers when you submit the project. The project should show the commands used and the results only The idea is to roll a die using Matlab commands, instead of doing it manually. Roll a die 10 times and record the outcome and then find the average of the outcomes. Then compare the means for the cases of 10, 100 & 1000. On page 2 of lecture 10, we found that the mean of rolling a die to be 3.5. Therefore, your answer will be close to 3.5 every time you repeat the experiment for larger numbers.

Answers

We can see that the means we got from Matlab are close to 3.5 for larger numbers of rolls.

We have,

To generate numbers between 1 and 6 in Matlab, we can use the "randi" command.

To generate 10 numbers, we can use:
```matlab
numbers10 = randi([1, 6], [1, 10]);
mean10 = mean(numbers10);
disp(mean10);
```

To generate 100 numbers, we can use:
```matlab
numbers100 = randi([1, 6], [1, 100]);
mean100 = mean(numbers100);
disp(mean100);
```

To generate 1000 numbers, we can use:
```matlab
numbers1000 = randi([1, 6], [1, 1000]);
mean1000 = mean(numbers1000);
disp(mean1000);
```

After running these commands, we will get the means for generating 10, 100, and 1000 numbers between 1 and 6.

As mentioned in the question, the mean of rolling a die is 3.5.

Therefore,

We can see that the means we got from Matlab are close to 3.5 for larger numbers of rolls.

Learn more about math lab here:

https://brainly.com/question/10772022

#SPJ11

A company has recently been hiring new employees. Today the company has 33% more employees than it did a year ago. If there are currently
66,500 employees, how many employees did the company have a year ago?
employees

Answers

If the company has 33% more employees than it did a year ago and there are currently 66,500 employees, the number of employees the company had a year ago was proportionately, 50,000 employees.

What is proportion?

Proportion refers to the ratio of one quantity or value compared to another.

Proportions are fractional values, representing using fractions, decimals, or percentages.

The current population of a company's employees = 66,500

The percentage increase in the population from last year's = 33%

Proportionately, last year's population = 100%, while this year's population is 133% (100 + 33).

If 66,500 = 133% (1.33), then 100% = 50,000 (66,500 ÷ 1.33)

Learn more about proportions at https://brainly.com/question/1496357.

#SPJ1

In this circle, mQR = 72°.
What is m/QPR?
A. 18°
B. 24°
C 36°
D. 72°

Please show work or give an explanation please

Answers

Answer:

< QPR = 36

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

< QPR = 1/2 ( 72)

< QPR = 36

Select the correct answer. What is the solution to 4|x − 3| + 1 = 1? A. x = 3 B. x = 3 or x = 4 C. x = 3 or x = 6 D. No solutions exist.

Answers

Answer:

a  

Step-by-step explanation:

We can start solving the given equation by isolating the absolute value term:

4|x - 3| = 0

Since the absolute value of any number is always non-negative, the only way for the left-hand side of the equation to be zero is if the absolute value term is zero. This means:

|x - 3| = 0

And the only solution to this equation is:

x - 3 = 0

x = 3

Therefore, the correct answer is A. x = 3.

The histogram displays the ages of 50 randomly selected users of an online music service. Based on the data, if the service has 25,000 users, how many of them are 30 and older?

Answers

The number of users that are 30 and older is 10,500.

We have,

From the histogram,

The number of users that are 30 and older.

= 7 + 9 + 3 + 2

= 21

Now,

The percentage of 30 and older users.

= 21/50 x 100
= 21 x 2

= 42%

Now,

Total users = 25,000

So,

The percentage of 30 and older users.

= 42% of 25,000

= 42/100 x 25,000

= 42 x 250

= 10500

Thus,

The number of users that are 30 and older is 10,500.

Learn more about histograms here:

https://brainly.com/question/30354484

#SPJ1

Triangle ABC shown below has m∠B=36∘, a=5, and c=13. Find the area of the triangle.

Answers

Answer: 19.1 is correct

Step-by-step explanation:

where a and c are the lengths of two sides of the triangle and C is the angle between them. To use this formula, we need to find side b and angle A.

We can use the Law of Cosines to find side b:

∠A and ∠B are vertical angles. If m ∠ A=(2x−2) ∘ and B=(3x−15) ∘ , then find the value of x

Answers

The value of x is 13°

What are Vertical Angles?

When two lines intersect, four angles are formed. There are two pairs of nonadjacent angles. These pairs are called vertical angles.

In a coordinate plane, a line parallel to the Y-axis is called Vertical Line. It is a straight line which goes from top to bottom and bottom to top. Any point in this line will have the same value for the x-coordinate.

We have:

The angles are:

m ∠ A=(2x−2) ∘ and ∠ B=(3x−15) ∘

We have to find the value of x

Now, We know that :

m ∠A = m ∠B  (Def. of Vertical Angles)

(2x−2) = (3x−15)

Combine the like terms:

2x - 3x = -15 + 2

-x = -13

x = 13

The value of x is 13°

Learn more about Vertical Angles at:

https://brainly.com/question/24460838

#SPJ1

Why is it essential to maximize the volume for a fixed surface area for cost and material waste?

Answers

It is essential to maximize the volume for a fixed surface area for cost and material waste.

Because it can help to optimize the efficiency of material usage and minimize the cost of production.

In many manufacturing and construction processes, the cost of materials is a significant expense.

By maximizing the volume of an object for a fixed surface area, we can reduce the amount of material needed to construct the object.

This means that we can save money on material costs and reduce waste by using fewer materials overall.

In addition, minimizing the surface area of an object for a fixed volume can also help to reduce production costs.

This is because the surface area of an object is often a factor in determining the time and labor required to produce it.

By minimizing the surface area, we can reduce the amount of time and labor needed to produce the object.

Which can help to reduce production costs.

Therefore, maximizing volume for fixed surface area is an essential consideration in many manufacturing and construction processes.

It help to optimize material usage, minimize waste, and reduce production costs.

learn more about volume here

brainly.com/question/15545998

#SPJ1

An appropriate tip for a waiter at a restaurant is at least 15%. For a tab of $20, how much money should be left, including tip?

Answers

An appropriate tip for a waiter at a restaurant is at least 15% of the total bill. For a tab of $20, the tip would be:

Tip amount = 15% of $20

Tip amount = 0.15 x $20

Tip amount = $3

Therefore, the total amount of money that should be left, including tip, is:

$20 (tab) + $3 (tip) = $23.

30 POINTS ANSWER FOR BRAINLIST
Solve m^2 − 6m = 3. Use the Quadratic Formula. Leave your answers as simplified radicals.

Answers

Answer:

To solve m^2 - 6m = 3 using the quadratic formula, we first need to put the equation in standard form, which is ax^2 + bx + c = 0.

m^2 - 6m - 3 = 0

Now we can identify a, b, and c:

a = 1, b = -6, c = -3

Next, we can plug these values into the quadratic formula:

m = (-b ± sqrt(b^2 - 4ac)) / 2a

m = (-(-6) ± sqrt((-6)^2 - 4(1)(-3))) / 2(1)

m = (6 ± sqrt(48)) / 2

Simplifying the square root of 48, we get:

m = (6 ± 4sqrt(3)) / 2

Now we can simplify by factoring out a 2 from the numerator:

m = 3 ± 2sqrt(3)

So the solutions to the equation are:

m = 3 + 2sqrt(3) or m = 3 - 2sqrt(3)

Step-by-step explanation:

Answer: 3±2√3

Step-by-step explanation:

see image for explanation

Let me know if you more explanation with simplifying the root.  That is a whole lesson in itself.

Find the missing angle

Answers

Answer:

I Think 62°

Step-by-step explanation:

I think it’s the answer is 62

Hurry up please time limit

State the domain and range and tell if the graph is a function yes or no?
What’s the domain and range ?

Answers

Answer:No, X=-3, yly =-4,0,4

Step-by-step explanation:

Each week, Nursen saves $5 and shares $3.75. She also spends $4.95 on bus fare to get home from music lessons. This week she earned $24 babysitting. How much money does Nursen have left that she can spend?​

Answers

Answer: In one week, Nursen saves $5 and shares $3.75, so she has $5 + $3.75 = $8.75 per week.

She spends $4.95 on bus fare, so she has $8.75 - $4.95 = $3.80 per week to spend.

This week, Nursen earned $24 babysitting, so she has an additional $24 to spend.

Therefore, Nursen has $3.80 + $24 = $27.80 to spend.

Step-by-step explanation:

in a certain lottery, you must correctly select 6 numbers (in any order) out of 39 to win.

Answers

The calculated value of the probability of winning is 3.06501854e-7

Calculating the probability of winning

From the question, we have the following parameters that can be used in our computation:

Select 6 numbers out of 39 to win

This means that when a number is selected, the number is returned and the total numbers reduces by 1

i.e. P(Current) = n/(39 - n)

Using the above as a guide, we have the following:

P(Win) = 6/39 * 5/38 * 4/37 * 3/36 * 2/35 * 1/34

Evaluate the product of tthe expressions

So, we have

P(Win) = 3.06501854e-7

Hence, the probability of winning is 3.06501854e-7

Read more about probability at

https://brainly.com/question/251701

#SPJ1

Complete question

In a certain lottery, you must correctly select 6 numbers (in any order) out of 39 to win You purchase one lottery ticket What is the probability that you will win?

The probability of winning is

A 138 foot antenna is on top of the top of a tall building. From a point on the ground, the angle of elevation to the top of the antenna is 30.5゚ while the angle of elevation to the bottom of of the antenna from the same point is 23.5゚How tall is the building​

Answers

Answer:

289

Step-by-step explanation:

Let's call the height of the building "h" and the distance from the point on the ground to the base of the building "d".

From the point on the ground, the distance to the top of the antenna is d + 138, and the distance to the bottom of the antenna is d.

Using trigonometry, we can set up two equations:

tan(30.5°) = (d + 138) / h (1)

tan(23.5°) = d / h (2)

We can solve equation (2) for d:

d = h tan(23.5°)

Substituting this into equation (1), we get:

tan(30.5°) = (h tan(23.5°) + 138) / h

Simplifying:

tan(30.5°) = tan(23.5°) + 138/h

tan(30.5°) - tan(23.5°) = 138/h

h = 138 / (tan(30.5°) - tan(23.5°)) ≈ 289.12 feet

Therefore, the height of the building is approximately 289.12 feet.

PLEASEEEE HELP MEMEMEMEM PLESSEEE I WILL GIVE U BRAINLIST QUICK

Answers

The numeric value of the function graphed is given as follows:

f(-8) = 6.

How to obtain the numeric value of the function?

The expression for the numeric value of the function in this problem is given as follows:

f(-8).

This means that the input is given as follows:

x = -8.

Passing a vertical line through x = -8, the value of y in which the vertical line crosses the graph is given as follows:

y = 6.

Hence the numeric value is given as follows:

f(-8) = 6.

Learn more about the numeric values of a function at brainly.com/question/28367050

#SPJ1

A circular arc of length 9 feet subtends a central angle of 65 degrees. Find the radius
of the circle in feet.

Answers

The radius of the circle is approximately 7.9 feet.

What is the radius of the circle?

The arc length formula (if θ is in degrees) is expressed as:

s = 2πr × (θ/360°)

Where r is radius and θ is the central angle subtended by the arc.

Given that:

Arc length s = 9ft

Central angle subtended by the arc = 65°

Radius r = ?

Plug the given values into the above formula.

s = 2πr × (θ/360°)

9ft = 2 × 3.14 × r × (65/360°)

r = 9ft / 1.133888

r = 7.9 ft

Therefore, the radius is 7.9 ft.

Learn more about arc of length here: https://brainly.com/question/16403495

#SPJ1

I REALLY NEED THIS IMMEDIATELY PLEASE HELP !

(Use The Image)

Patrica is building a garden in her backyard that is shaped like a triangle. She has already built two sides of the garden and they have lengths of 6 feet and 7 feet.

Answers

Answer:

Step-by-step explanation:

The third side of Patricia's garden should be approximately 10.64 feet long.

To determine the length of the third side of Patricia's garden, we can use the Law of Cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles. In this case, we have two known side lengths (6 feet and 7 feet) and the angle between them (110 degrees).

The Law of Cosines states that for a triangle with side lengths a, b, and c, and angle C opposite side c:

c² = a² + b² - 2ab*cos(C)

We want to find the length of the third side, so let's call it c. Plugging in the known values:

c² = 6² + 7 - 267*cos(110°)

Simplifying the equation:

c² = 36 + 49 - 84*cos(110°)

Now, we can calculate the value of cos(110°) using a calculator or trigonometric tables. Once we have that value, we can substitute it back into the equation to find c². Taking the square root of c² will give us the length of the third side.

Note: The value of cos(110°) is approximately -0.342.

c² = 36 + 49 - 84*(-0.342)

c² ≈ 36 + 49 + 28.248

c^2 ≈ 113.248

Taking the square root:

c ≈ √113.248

c ≈ 10.64

To learn more about trigonometery click on,

https://brainly.com/question/14090018

#SPJ2

Male 16 15 2 33
Female 14 11 18 43
Total 30 26 20 76
If one student is chosen at random,

Find the probability that the student was female:

Find the probability that the student was female AND got a "C":

Find the probability that the student was female OR got a "C":

If one student is chosen at random, find the probability that the student was female GIVEN they got a 'C':

Answers

a) The probability that the student was female is 43/76

b) The probability that the student was female AND got a "C" is 9/38

c) The probability that the student was female OR got a "C" is 45/76

We have,

             A   B   C  

Male     16  15  2  33

Female 14  11  18  43

Total     30 26 20 76

a) The probability that the student was female

= 43/76

b) The probability that the student was female AND got a "C"

= 18/76

= 9/38

c) The probability that the student was female OR got a "C"

= 43 /76 + 20/76 - 18/76

= 45/76

Learn more about Probability here:

https://brainly.com/question/30034780

#SPJ1

Write in terms of x and y only.

Answers

Result:

sin(tan⁻¹(x) - tan⁻¹(y)) in terms of x and y only = (x - y) / (1 + xy).

How do we express the equation in term of x and y?

For us to write the expression, we shall use this formular formula:

tan(a - b) = (tan(a) - tan(b)) / (1 + tan(a)tan(b))

where:

a = tan⁻¹(x)

b = tan⁻¹(y)

Next, we have:

tan(tan⁻¹(x) - tan⁻¹(y)) = (tan(tan⁻¹(x)) - tan(tan⁻¹(y))) / (1 + tan(tan⁻¹(x))tan(tan⁻¹(y)))

= (x - y) / (1 + xy)

From both sides, we have sine:

sin(tan⁻¹(x) - tan⁻¹(y)) = sin(tan(x - y / 1 + xy))

So, sin(tan⁻¹(x) - tan⁻¹(y))  

= sin(tan⁻¹(x) - tan⁻¹(y))

= (x - y) / (1 + xy) in terms of x and y.

Learn more about an expression at brainly.com/question/1859113

#SPJ1

Michael checked several websites and stores around town for the television he wanted to purchase. He saw eight different prices: $273 $267 $276 $297 $264 $294 $264 $269 What is the mean, median, and mode of this data set?

Answers

The mean is 270.75 and the median is 271. While there is no single mode, then we conclude that our mode is 264 and 294 respectively.

Understanding how to calculate mean, median, mode

By definition:

Mean is the sum of all the numbers in the set divided by the total number of numbers.

Median is the middle value in the set when the numbers are arranged in order.

Mode is the number that appears most frequently in the set.

If we re-arrange the data given in ascending order, we have:

264 264 267 269 273 276 294 297

To calculate Mean:

Add up all the numbers and divide by the total number of numbers:

Mean = (264 + 264 + 267 + 269 + 273 + 276 + 294 + 297) / 8

Mean = 270.75

To calculate Median:

We need to find the middle number in the set. Since there are 8 numbers in the set, the median is the average of the 4th and 5th numbers:

Median = (269 + 273) / 2

Median = 271

To calculate Mode:

We need to determine which number appears most frequently in the set. In this case, there are two numbers that appear twice (264 and 294), and the rest of the numbers appear only once. Therefore, there is no single mode for this data set.

Mode = 264 and 294

Learn more about median here:

https://brainly.com/question/26177250

#SPJ1

Abdoulaye is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of 1 inch = 5 miles. City X and City Y are 11/2 between

City X ---------- 11/2 ------------- City Y

What is the actual distance between the two cities?

Answers

The actual distance between the two cities is  [tex]7\frac{1}{2}[/tex] miles .

What is the actual distance?

A scale drawing is the reduced version of a larger image. The scale drawing is reduced at a constant proportion to the original image using a scale. An example of a scale drawing is a map of the city.

Actual distance between the cities can be determined by multiplying the distance in the scale drawing by the scale.

Actual distance = 1[tex]\frac{1}{2}[/tex] x 5

= [tex]\frac{3}{2}[/tex] x 5 = [tex]\frac{15}{2}[/tex] = [tex]7\frac{1}{2}[/tex] miles

To learn more about scale drawings, please check: https://brainly.com/question/26151199

#SPJ1

Please help its due soon

Answers

The ratio of sec θ is determined as 5/3.

option A.

What is the ratio of secθ?

The ratio is sec θ is calculated by applying the following method;

sec θ =  1/cosθ

Given that tanθ = -4/3 = oppo/adjacent

The hypotenuse side is calculated by applying Pythagoras theorem as shown below;

h = √ 4² + 3²

h = 5

The ratio of sec θ is calculated as follows;

sec θ =  1/cosθ

1/cosθ = 1/(3/5)

1/cosθ = 5/3

Learn more about trig ratios here: https://brainly.com/question/10417664

#SPJ1

Selective serotonin reuptake inhibitors (SSRIs) are drugs that

Oprevent unused neurotransmitters from being transported back to the neuron.

increase reuptake of unused serotonin

Ostrengthen the effect of a neurotransmitters by mimicking it at the receptor site.

block effects of neurotransmitters by binding to receptors without activating them.

Answers

Selective serotonin reuptake inhibitors (SSRIs) are drugs that A. prevent unused neurotransmitters from being transported back to the neuron.

What are Selective serotonin reuptake inhibitors ?

By inhibiting the serotonin transporter, SSRIs prevent the reuptake of serotonin into neurons after synapse release, thereby increasing available serotonin in the brain. Such changes help to alleviate symptoms associated with anxiety, depression and other mood disorders.

Overall, a rise in serotonin activity is significant in transforming an individual's mood pattern. When more serotonin remains within synapses, it binds with and activates its receptors, leading to increased levels of hormonal activity proven to be effective in treating various mood imbalances in patients.

Find out more on Selective serotonin reuptake inhibitors at https://brainly.com/question/7549176

#SPJ1

Other Questions
An Agile team is halfway through the iteration when it feels that it needs detailed feedback on some of the features. What should be done? Let the random variables X, Y have joint density function3(2x)y if0f(x,y) =(a) Find the marginal density functions fX and fY. (b) Calculate the probability that X + Y 1 In the U.S., first angle projection is usually used. T/F Cost (at purchase date) Fair Value (at December 31) Investment in Arroyo Company stock $107.000 $88,000 Investment in Lee Corporation stock 230,000 278,000 Investment in Woods Inc. stock 190,000 200,000 Total $527,000 $566,000 (Assume a zero balance for any Fair Value Adjustment account.) (a) What entry would Indigo make at December 31, 2020, to record the investment in Arroyo Company stock if it chooses to report this security using the fair value option? b.What entry would Indigo make at December 31, 2020, to record the investments in the Lee and Woods corporations, assuming that Indigo did not select the fair value option for these investments? For each of the following pairs of vectors x and y, find the vector projection p of x onto y (a)x=[-5 4 5] and y= [3 -5 3] (b)x= cos(t) and y = [sin(t)cos(t)1] and y=[cos(t) -sin(t)3] where t is some angle P= what are the exact values of the cosecant, secant, and cotangent ratios of -7pi/4 radians? find a polynomial function f(x) of least degree having only real coefficients and zeros of 5 and 2-i 80 divide by 6 help me now!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! what are the 2 parts of an advanced directive? (LD) What does the mailbox w/ key symbolize? Choose the correct term for 'numbness following sleep.' Use any of the methods to determine whether the series converges or diverges. Give reasons for your answer.[infinity]->k=1 [(k^(2)k+1) / (3k^(4)+2k^(2)+1)] Need help with Exercise 5 (JAVA) A client is receiving a continuous intravenous infusion of heparin sodium to treat deep vein thrombosis. The client's activated partial thromboplastin time (aPTT) is 65 seconds. The nurse anticipates that which action is needed? This is not for me but for anyone who needs answers. Choose the correct definition of meningomyelocele (myelomeningocele). In A B C , C is a right angle and sin A = 4 5 . What is the ratio of cos A? Write the equation of a line with zero slope that passes through (3,28).? opuestos write an adjective with the opposite meaning. question 1 with 1 blank 1 of 1 cerrado question 2 with 1 blank 1 of 1 alegre question 3 with 1 blank 1 of 1 ordenado question 4 with 1 blank 1 of 1 sucio 2 emparejar match the sentence parts. three items from the list will not be used. cuando los estudiantes tienen problemas, los profe The chemical associated with homeostatic sleep drive is A. adenine. B. tryptophan. C. adenosine. D. melatonin.