Tamika Clark is the county superintendent. She travels to the
3 schools in her district every month. This month her travel
expenses include: 246 miles traveled at $0.55 per mile; meals,
$180.70; miscellaneous, $46.90. What is her total travel expense
this month?

Answers

Answer 1

Tamika Clark's total travel expense this month is $362.90.

Given that the supervisor for the county is Tamika Clark.

Every month, she makes the trip to the three schools in her district.

Her travel costs for this month include 246 miles at a cost of $0.55 per mile, $180.70 for meals, and $46.10 for other expenses.

We must determine the whole cost of her.

To calculate Tamika Clark's total travel expenses this month, we need to add up her expenses for miles traveled, meals, and miscellaneous items.

Miles traveled:

246 miles x $0.55 per mile = $135.30

Meals: $180.70

Miscellaneous: $46.90

Total travel expenses:

$135.30 (miles traveled) + $180.70 (meals) + $46.90 (miscellaneous) = $362.90

Therefore, Tamika Clark's total travel expense this month is $362.90.

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Related Questions

Please help questions 5-10 this is easy…. NO SCAMS I WILL BE REPORTING ALL SCAMMERS U WILL NOT GET THE POINTS

Answers

The value of the missing probability for the given probabilities and condition of independent events is equal to 0.45.

Here,

Probability of the events A and B are,

P(A) = 7/10

P(A or B) = 167/200

Apply the formula for the probability of the union of two events,

P(A or B) = P(A) + P(B) - P(A and B)

Since events A and B are independent, we know that,

P(A and B) = P(A) x P(B)

This implies,

P(A or B) = P(A) + P(B) - P(A) x P(B)

Substitute the values we have,

⇒ 167/200 = 7/10 + P(B) - (7/10) x P(B)

⇒ 167/200 = [ 7 + 10P(B) - 7P(B) ] /10

⇒167/20 = 7 + 3P(B)

⇒3P(B) = 167/20 - 7

⇒ 3P(B) = (167 - 140)/20

⇒3P(B) = 27 /20

⇒P(B) = 9/20

⇒P(B) = 0.45

Therefore, the value of the probability P(B) is equal to 0.45.

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complete question:

Events [A] and [B] are independent. Find the missing probability.

P(B) = ?

P(A) =

7/10

P(A or B)

167/200

We sample bags of candy under the assumption that the average weight is 16oz. with a population standard deviation of 1.25oz. Let x represent the average weight of our sample of bags of candy. What is the probability the average weight of our sample is greater than 15.8oz if our sample size is 40 bags of candy?

Answers

The Probability that the average weight of our sample is greater than 15.8 oz, given a sample size of 40 bags of candy, is approximately 0.8438 or 84.38%.

The probability that the average weight of our sample is greater than 15.8 oz, we need to use the concept of the sampling distribution of the sample mean and the Central Limit Theorem.

Given:

Population mean (μ) = 16 oz.

Population standard deviation (σ) = 1.25 oz.

Sample size (n) = 40 bags of candy.

The Central Limit Theorem states that for a large enough sample size (typically considered n > 30), the sampling distribution of the sample mean will be approximately normally distributed, regardless of the shape of the population distribution.

In this case, we can assume that the sampling distribution of the sample mean is approximately normally distributed.

To calculate the probability, we need to standardize the sample mean using the z-score formula:

z = (x - μ) / (σ / sqrt(n))

where x is the given value (15.8 oz), μ is the population mean, σ is the population standard deviation, and n is the sample size.

Substituting the values:

z = (15.8 - 16) / (1.25 / sqrt(40))

z = -0.2 / (1.25 / 6.3246)

z = -0.2 / 0.1988

z ≈ -1.006

Now, we need to find the probability that the standardized sample mean is greater than -1.006. Since we want the probability of the sample mean being greater than 15.8 oz, we need to find the area under the normal curve to the right of z = -1.006.

Using a standard normal distribution table or a calculator, we can find that the corresponding probability is approximately 0.8438.

Therefore, the probability that the average weight of our sample is greater than 15.8 oz, given a sample size of 40 bags of candy, is approximately 0.8438 or 84.38%.

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Add the vectors: 10 - 3 + 7​

Answers

The result of adding these numbers is 14.

To add the vectors 10, -3, and 7, we simply sum their corresponding components.

In mathematics, vectors typically represent quantities that have both magnitude and direction. They are usually denoted by an arrow or boldface letters. However, in your question, the numbers provided (10, -3, and 7) are not explicitly described as vectors. They are just numerical values.

To add these numbers together, you can simply perform the arithmetic operation of addition:

10 - 3 + 7 = 14

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The family then travelled 38km from Camp Carol and reached Phoenix in 27minutes. Determine the average speed they travelling at?

Answers

The family traveled from Camp Carol to Phoenix at an average speed of approximately 84.44 kilometers per hour.

How to calculate average speed?

Speed is simply referred to as distance traveled per unit time.

It is expressed mathematically as:

Speed = Distance / time

Given that the family traveled 38 km from Camp Carol to Phoenix in 27 minutes:

Distance traveled = 38 kilometers

Time taken = 27 minutes

First, convert the time from minutes to hours:

Time taken = ( 27 / 60 ) hours

Time taken = 0.45 hour

We can now calculate the average speed using the above formula as follows:

Average speed = Distance / time

Average speed = 38 km / 0.45 h

Average speed = 84.44 km/h

Therefore, the average speed is approximately 84.44 km/h.

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The diagram shows two squares constructed on the sides of a rectangle. What is the area of square A?

Answers

The area of the square A is 19.98 square feet

Calculating the area of square A?

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

Two squares constructed on the sides of a rectangle.

Let the side lengths of square C be x

Let the side lengths of rectangle B be x and y

So, we have

x² = 5

xy = 10

Solving for x and y, we have

x = 2.24 and y = 4.47

The area of square A is

Area = y²

So, we have

Area = 4.47²

Evaluate

Area = 19.98

Hence, the area of the square A is 19.98 square feet

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100 Points! Algebra question. Photo attached. Will give Brainliest! Please show as much work as possible. Thank you!

Answers

Answer:

6.6, 22/73,

Step-by-step explanation:

Alright, here we go.
A: The mean is all of the values divided by the number of values, which is equal to 1,927.5 or:
0.5 * 5 + 1 * 16 + 2 * 28 + 3 * 22 + 4 * 17 + 5 * 98 + 8 * 13 + 10 * 73 + 12 * 5 + 15 * 2 + 20 * 4 + 25 * 9.

There are 292 or 5 + 16 + 28 + 22 + 17 + 98 + 13 + 73 + 5 + 2 + 4 + 9 packages. 1,927.5 / 292 = 6.6
B: The packages that weigh less than five pounds are 5 + 16 + 28 + 22 + 17 or 88 / 292 = 22 / 73
C and D: Manager original mean result not given.

Which equation represents a horizontal line? A.y=x+1 b. X=2 c.x=y+2 d. Y=2

Answers

Answer:  d. Y=2

Step-by-step explanation:

Question 8 of 10
If f(x) = x² is horizontally compressed to g(x), which could be the equation of
g(x)?
O A. g(x) - (x)
O B. g(x) - (x-6)²
OC. g(x)=x² +6
O D. g(x) - (6x)²
SUBMIT

Answers

The horizontally compressed function is [tex]\(\text{g(x)} = x^2 + 6\)[/tex]. The correct option is OC. [tex]\(\text{g(x)} = x^2 + 6\)[/tex].

To horizontally compress the function [tex]f(x) = x^2[/tex], we can modify the equation by introducing a horizontal compression factor. Let's call the compressed function [tex]g(x)[/tex].

The general equation for a horizontally compressed function can be expressed as [tex]g(x) = f(ax)[/tex], where a is the compression factor.

In this case, we want to compress [tex]f(x) = x^2[/tex]. Let's choose a compression factor of [tex]\frac{1}{2}[/tex].

Therefore, the equation for [tex]g(x)[/tex] would be:

[tex]\[ g(x) = f\left(\frac{x}{2}\right) = \left(\frac{x}{2}\right)^2 \][/tex]

Simplifying this equation, we have:

[tex]\[ g(x) = \frac{x^2}{4} \][/tex]

Hence, the equation of [tex]g(x)[/tex] is:

[tex]\[ \text{g(x)} = \frac{x^2}{4} \][/tex]

So, the correct option is OC. [tex]\(\text{g(x)} = x^2 + 6\)[/tex].

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Need help with this problem

Answers

The length of side j, considering the trigonometric ratios, is given as follows:

j = 7.88.

What are the trigonometric ratios?

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

Sine of angle = length of opposite side to the angle divided by the length of the hypotenuse.Cosine of angle = length of adjacent side to the angle divided by the length of the hypotenuse.Tangent of angle = length of opposite side to the angle divided by the length of the adjacent side to the angle.

For the angle of 21º, we have that:

j is the opposite side.22 is the hypotenuse.

Hence the length j is obtained as follows:

sin(21º) = j/22

j = 22 x sine of 21 degrees

j = 7.88.

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help? A crayon is shaped like a triangular prism. The base of the crayon is shown. If the crayon is 90 millimeters long, how many cubic millimeters of wax is used to make a box of 8 crayons?​

Answers

Answer:

Unknown but formula (Check step by step solution)

Step-by-step explanation:

Without the image of the base of the crayon, I cannot determine the exact dimensions of the triangular prism or calculate the volume of a single crayon. However, I can give you a general formula for calculating the volume of a triangular prism and use it to find the total volume of wax needed to make a box of 8 crayons.

The formula for the volume of a triangular prism is:

Volume = (1/2) x base x height x length

where base is the area of the base of the triangular prism, height is the height of the triangular prism, and length is the length of the triangular prism.

Assuming all the crayons in the box have the same dimensions, let's say the base of the triangular prism has a length of L and a width of W. We can calculate the area of the base of one crayon as:

Base area = (1/2) x L x W

Since the crayon is 90 millimeters long, its height is 90 millimeters. Therefore, the volume of one crayon is:

Volume of one crayon = (1/2) x L x W x 90

To find the total volume of wax used to make a box of 8 crayons, we can multiply the volume of one crayon by the number of crayons:

Total volume of wax = Volume of one crayon x 8

Total volume of wax = (1/2) x L x W x 90 x 8

Total volume of wax = 360 x L x W

Again, without knowing the exact dimensions of the triangular prism, I cannot calculate the total volume of wax used to make a box of 8 crayons. But you can use the formula above and substitute the values of L and W based on the dimensions of the base of the crayon to find the answer.

50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

Answer:

tan pi/6 is tan 30

Step-by-step explanation:

tan 30 is a special degree in trigonometric ratios which makes it easy to solve

tan 30=1√3 .this is the same as √3/3(B)

As a salesperson at Scrapbooks and
Treasures, Alysse receives a monthly
base pay plus commission on all that she
sells. If she sells $500 worth of
merchandise in one month, she is paid
$515. If she sells $900 of merchandise in
one month, she is paid $607.
Find Alysse's total salary function, s(x), when
she sells x dollars of merchandise.
s(x)=

Answers

To find Alysse's total salary function, we need to determine the formula for her pay based on the information given. We know that she receives a monthly base pay plus commission on all that she sells. We can use the two data points given to create a system of equations and solve for the base pay and commission rate:

When Alysse sells $500 of merchandise, her pay is $515:
Base pay + Commission rate × $500 = $515
Base pay + Commission rate × 500/500 = 515/500
Base pay + Commission rate = 1.03

When Alysse sells $900 of merchandise, her pay is $607:
Base pay + Commission rate × $900 = $607
Base pay + Commission rate × 900/500 = 607/500
Base pay + 1.8 × Commission rate = 1.214

We can solve this system of equations by subtracting the first equation from the second equation, which eliminates the base pay variable:

1.8 × Commission rate - Commission rate = 1.214 - 1.03
0.8 × Commission rate = 0.184
Commission rate = 0.23

Using the first equation, we can solve for the base pay:

Base pay + 0.23 × $500 = $515
Base pay = $515 - $115
Base pay = $400

Therefore, Alysse's total salary function, s(x), when she sells x dollars of merchandise is:

s(x) = $400 + 0.23x

This means that her base pay is $400 per month and she earns a commission of 23% on all the merchandise she sells. For example, if she sells $1000 worth of merchandise in a month, her total pay would be:

s($1000) = $400 + 0.23($1000) = $630

So her total pay increases as she sells more merchandise, reflecting the commission she earns on each sale.

Answer:

s(x) = 0.23x + 400

Step-by-step explanation:

Let x = cost of merchandise sold

We start by finding the slope which is the percent of commission Alysse receives.

Let's start with doing 607 - 515. This is because we are subtracting the commissions, which also can be y2 - y1. Then, we do 900-500=400 (x2-x1). This is how to find the slope of the function. [tex]\frac{y2-y1}{x2-x1}=\frac{92}{400} =0.23[/tex], 0.23 being the slope.

s(x) = b+0.23x, now substitute values making the money received as s(x).

515 = b+0.23(500)

515=b+115

-115   -115

400 = b

607 = 400+0.23(900)

607 = 400 + 207

607 = 607

So, s(x) = 0.23x + 400

Find the area of each figure. Round to the nearest tenth, if necessary

Answers

Answer:

Solution is in the attached photo.

Step-by-step explanation:

This question tests on the concept of shapes, this shape can be separated into 2 basic shapes, triangle and rectangle.

Mass of the earth greater than mass of hydrogen atom

Answers

Yes, the mass of the Earth is much larger than the mass of an atom of hydrogen.

A hydrogen atom weighs around 1.67 x 10⁻²⁷ kilograms (kg) in mass. The mass of a hydrogen atom is approximately 1051 times smaller than that of the Earth, which has a mass of about 5.97 x 10²⁴ kg.

The majority of the mass of the Earth is made up of the following elements: iron, oxygen, silicon, magnesium, Sulphur, nickel, calcium, and aluminium. Despite its minor presence, hydrogen does not significantly contribute to the mass of the Earth.

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Burning Brownie has five varieties of cakes as Chocolate fudge cake (Cake 1), Nutella-filled Cake
(Cake 2), Marble Cake (Cake 3), Cheese cake (Cake 4) and Fruit Cake (Cake 5) at their store. The
selling prices of each of the cakes are $9, $12, $4, $5, $8 respectively.
a. Formulate the Revenue function

Answers

The revenue function for the cakes can be shown as: R(x1, x2, x3, x4, x5) = $9x1 + $12x2 + $4x3 + $5x4 + $8x5

What is revenue function?

The revenue function is described as  the total amount of money earned from selling a certain quantity of cakes.

We make the following  

Cake 1 sold =  x1

Cake 2 =  x2

Cake 3 = x3,

Cake 4 =  x4,

Cake 5=  x5.

The revenue generated from selling each cake is:

Revenue1 = $9 * x1

Revenue2 = $12 * x2

Revenue3 = $4 * x3

Revenue4 = $5 * x4

Revenue5 = $8 * x5

Total revenue = Revenue1 + Revenue2 + Revenue3 + Revenue4 + Revenue5

Total revenue = $9 * x1 + $12 * x2 + $4 * x3 + $5 * x4 + $8 * x5

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In a town, 60% of the police officers have ride-alongs with teenagers who want to join the police force. 258 police officers have ride-alongs. How many police officers are there altogether?

Answers

Hello !

1. Calculate the rest

100% - 60% = 40%

=> 40% of police officers have ride-alongs

2. Make a table

                                                                      total

number of policier            258          ?           ??

frequency in %                  60%        40%      100%

3. Calculate the total

3.1 Calculate the number of of the police officers have ride-alongs with teenagers who want to join the police force

? = 258 x 40 ÷ 60 = 172

3.2 Calculate the total

?? = 258 + 172 = 430

4. Conclusion

In total there are 430 police officers.

Have a good day !

Find the value of x.

Answers

The calculated value of x in the circle is 7

How to find the value of x.

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

The circle

From the circle, we have

Center = H

Also, we have

LIne GH bisects the chord FD

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

DG = FG

So, we have

5x + 2 = 7x - 12

This gives

2x = 14

So, we have

x = 7

Hence, the value of x is 7

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Find a polynomial function with real coefficients that has the given zeros:

2, 5 + i

Answers

By the complex conjugate root theorem, there must also be another zero -  [tex]5-i[/tex].

Therefore

[tex]f(x)=(x-2)(x-(5+i))(x-(5-i))\\f(x)=(x-2)(x-5-i)(x-5+i)\\f(x)=(x-2)((x-5)^2+1)\\f(x)=(x-2)(x^2-10x+25+1)\\f(x)=(x-2)(x^2-10x+26)\\f(x)=x^3-10x^2+26x-2x^2+20x-52\\f(x)=x^3-12x^2+46x-52[/tex]

The following table gives the number of women age 16 years and older (in
millions) in a country's civilian workforce for selected years from 1950 and
projected to 2050.
Complete parts (a) and (b) below.
a. Use x as the number of years past January 1st, 1950 to create a cubic model, y, using these data.
y=0x³+x²+x+O

Answers

To create a cubic model, we need to find a cubic equation in the form of [tex]y = ax^3 + bx^2 + cx + d[/tex] that fits the given data. Let's use the data provided in the table and the equation [tex]y = 0x^3 + x^2 + x + 0[/tex].

Since the coefficient of [tex]x^3[/tex] is 0, the cubic term does not contribute to the equation. Therefore, the cubic model simplifies to [tex]y = x^2 + x[/tex].

The equation [tex]y = x^2 + x[/tex]represents a quadratic function rather than a cubic function.

Thus, if we assume that the cubic term is indeed meant to be 0, we can use the simplified equation [tex]y = x^2 + x[/tex] as the cubic model based on the given data.

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The hexagonal prism below has a base area of 36 units and a height of 5.9 units. Find its volume.

Answers

The volume of the given hexagonal prism is 212.4 cubic units.

Given that, the hexagonal prism below has a base area of 36 square units and a height of 5.9 units.

Formula to find the volume of the object is Volume = Area of a base × Height.

Here, volume = 36×5.9

= 212.4 cubic units

Therefore, the volume of the given hexagonal prism is 212.4 cubic units.

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3
f(x)=3(2¹)-1
g(x)=3(2-)-1
Which statement is TRUE?
A. The y-values of both functions decrease by a
factor of 2 for each unit increase in x.
C. The functions both have the same x-intercept.
B. The y-values of both functions increase by a factor
of 2 for each unit increase in x.
D. The functions both have the same y-intercept.

Answers

The correct statement regarding the exponential functions in this problem is given as follows:

D. The functions both have the same y-intercept.

How to define an exponential function?

An exponential function has the definition presented according to the equation as follows:

[tex]y = ab^x[/tex]

In which the parameters are given as follows:

a is the value of y when x = 0.b is the rate of change.

The functions in this problem are given as follows:

[tex]f(x) = 3(2^x) - 1[/tex][tex]g(x) = 3(2^{-x}) - 1[/tex]

Hence the y-intercept for each function is given as follows:

[tex]f(0) = 3(2^0) - 1 = 3 - 1 = 2[/tex][tex]g(x) = 3(2^{0}) - 1 = 3 - 1 = 2[/tex]

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5. Match the steps for constructing a congruent line segment to their pictures.


1. Step 2: Draw a second line
segment that is longer than the
first.
2. Step 4: That intersection is the
final endpoint of the copied
segment.
3. Step 1: Put the point of the
compass on one endpoint of the
segment to be copied. Change the
compass setting so that the
pencil end is just touching the
other endpoint, make a small arc
to see this.
4. Step 3: Without changing the
compass setting, put the
compass point on the new
endpoint on a new line. Make a
small arc that intersects the line.

Answers

We can see here that matching the steps for constructing a congruent line segment to their pictures, we have:

Step 1 - Picture a

Step 2 - Picture b

Step 3 - Picture c

Step 4 - Picture c.

What is a line segment?

Any portion of a line with two ends and a set length is referred to as a line segment. It differs from a line that has neither a beginning nor an end and can be stretched in both directions.

The endpoints of a line segment can be used to define it. The portion of the line that begins at point A and finishes at point B, for instance, is known as the line segment AB.

A ruler or measuring tape can be used to determine the length of a line segment. The distance between two line segments' endpoints is the segment's length.

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Answer:

Step-by-step explanation:

2. The amount of a radioactive element at time t is given by the formula A(t)= A0ekt, (1) where A(0)= A0 is the initial amount of the element and k < 0 is the constant of proportionality which satisfies the equation (instantaneous rate of change of A(t) at time t) = kA(t). Iodine–131 is a commonly used radioactive isotope used to help detect how well the thyroid is functioning. Suppose the decay of Iodine–131 follows the model given in Equation (1), and that the half–life of Iodine–131 is approximately 10 days. If 5 grams of Iodine– 131 is present initially, find a function which gives the amount of Iodine–131, A, in grams, t days later, and then after 20 days.

Answers

The function that gives the amount of Iodine-131, A, in grams, t days later is A(t) = 5(1/2)^(t/10), and the amount after 20 days is 5/4 grams.

To find the function that gives the amount of Iodine-131, A, in grams, t days later, we can use the given formula A(t) = A0e^(kt).

Given that the half-life of Iodine-131 is approximately 10 days, we know that after each 10-day period, the amount of Iodine-131 will be reduced by half. This information allows us to determine the value of k.

Let's substitute the initial values into the equation:

A(0) = A0 = 5 grams.

We know that after 10 days, the amount is reduced by half. Therefore:

A(10) = 5/2 grams.

Using these two points, we can solve for k:

5/2 = 5e^(10k).

Dividing both sides by 5, we get:

1/2 = e^(10k).

Take the natural logarithm (ln) of both sides:

ln(1/2) = 10k.

Now, solve for k:

k = ln(1/2) / 10.

Now that we have the value of k, we can use it to find the function for the amount of Iodine-131, A, in grams, t days later.

The function is:

A(t) = A0e^(kt).

Substituting the known values:

A(t) = 5e^((ln(1/2)/10)t).

Simplifying:

A(t) = 5(1/2)^(t/10).

To find the amount of Iodine-131 after 20 days, we substitute t = 20 into the equation:

A(20) = 5(1/2)^(20/10).

A(20) = 5(1/2)^2.

A(20) = 5(1/4).

A(20) = 5/4 grams.

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31]
PLS HELP I NEED THIS TO GRADUATE

Answers

hi

what's the title of the question?

Can I have help finding the area

Answers

Answer: For Area A, 60

For Area B, 16

For Area C, 16

For the entire shape, 92

Step-by-step explanation:

If you look at the top of the entire shape, it says the width is 10 cm, that means 10 cm's for the entire width and not just shape A.

If you look at shape B, it says the width is 4 cm, that means 4 out of those 10 cm's are for B and not A but we dont need the width of shape B, so we subtract that 4 bc it isnt necessary since its not in shape A

if you look at the left of shape A, it says 10 cm for the height, when finding area for a rectangle, always do width x height. We have both the width and the height so now we just multiply them, 10 x  6 = 60

Answer:

A = 60cm^2

Step-by-step explanation:

Given:

Length of figure: A = 10cm

Width of figure: B = 10 - 4 = 6cm

Figure A is rectangular in nature.

So, the Area of the figure: A = 1 x b = 10 x 6 = 60cm^2

In triangle DEF, EF = 4cm, DF = 7cm, Find angle D
And E is the right angle

Answers

Hello !

1. The triangle

   D

   I\
   I  \  
   I    \
   I      \    7cm
   I        \
   I          \
   I            \

 E    4cm     F  

2. Find the ratio of the angle D

The ratio = hypotenuse ; opposite

⇒ calculate sin(D)

3. Calculate the angle D

sin(D) = opposite/hypotenuse = 4/7

arcsin(4/7) ≈ 34,84.. ≈ 35°

4. Conclusion

The angle D measures 35°.

Find the y-intercept and the slope of the line.
-8x -4y =5

Answers

Answer:

[tex]\sf m = -2\\\\y-intercept =\dfrac{-5}{4}[/tex]

Step-by-step explanation:

Slope and y-intercept of the line:

     Write the equation in slope y-intercept form: y =mx +c

Here, m is the slope and c is the y-intercpet.

To isolate y, add 8x to both side,

            -8x - 4y = 5

                   -4y  = 8x + 5

Now, divide the entire equation by (-4),

                        [tex]\sf \dfrac{-4y}{-4}=\dfrac{8x}{-4} + \dfrac{5}{-4}\\\\\\y = -2x -\dfrac{5}{4}[/tex]

Now, compare with y = mx +c

          [tex]\boxed{\sf m= -2}\\\\\\\boxed{\sf y-intercept=\dfrac{-5}{4}}[/tex]

 

Answer:

y-intercept = -5/4

slope = -2

Step-by-step explanation:

To quickly find the slope and y-intercept of a given linear equation, we can express it in the following form, called the slope-intercept form:

[tex]\boxed{y = mx + c}[/tex],

where:

m ⇒ slope

c ⇒ y-intercept

In order to take the given equation into the slope-intercept form, we have to  make y the subject of the equation:

[tex]-8x - 4y = 5[/tex]

⇒ [tex]-4y = 8x + 5[/tex]                 [Adding 8x to both sides of the equation]

⇒ [tex]y = -\frac{1}{4}(8x + 5)[/tex]              [Dividing both sides of the equation by -4]

⇒ [tex]y = -2 x - \frac{5}{4}[/tex]

Comparing the above equation with the slope-intercept form, we can see that m = -2 and c = -5/4.

Therefore, y-intercept = -5/4, and slope = -2.

Learn more about the slope-intercept form here:

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Question 7 of 10
Which expressions are equivalent to the one below? Check all that apply.
27
A. 3*
B. 9x
□ C. 9
□ D. (27) ²
9.3
DE 9
OF. (27-9)*

Answers

Answer:B,C

hope it helps

A relationship is represented by the equation y = x - 12 which of the following tables best represent the equation

Answers

A table that best represent the equation include the following: H. table H.

How to determine the table that best represent the equation?

In order to determine the table that best represent the equation, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;

When the value of x = 1 in table F, the linear function is given by;

y = x - 12

y = 1 - 12

y = -11 (False).

When the value of x = 0 in table G, the linear function is given by;

y = x - 12

y = 0 - 12

y = -12 (True).

When the value of x = 2 in table G, the linear function is given by;

y = x - 12

y = 2 - 12

y = -10 (False).

When the value of x = 0 in table H, the linear function is given by;

y = x - 12

y = 2 - 12

y = -10 (True).

When the value of x = 4 in table H, the linear function is given by;

y = x - 12

y = 4 - 12

y = -8 (True).

When the value of x = 6 in table H, the linear function is given by;

y = x - 12

y = 6 - 12

y = -6 (True).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

What measurement is equal to 1 2/3 yards

Answers

1 2/3 yards is equal to 5 1/3 feet.

How to find the measurement is equal to 1 2/3 yards

To convert from yards to feet, we know that 1 yard is equal to 3 feet. Therefore, we can calculate:

1 2/3 yards = (1 + 2/3) yards = (3/3 + 2/3) yards = 5/3 yards

Now, to convert yards to feet, we multiply by 3:

5/3 yards * 3 feet/1 yard = 15/3 feet = 5 feet

Therefore, 1 2/3 yards is equal to 5 1/3 feet.

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