If tan 0 = 8/15, what is sin 0?

If Tan 0 = 8/15, What Is Sin 0?

Answers

Answer 1
Tan0 = opposite/adjacent =8/15
Therefore opposite(o)= 8
adjacent(a)= 15
Considering Hypotenuse
= √(o2 + a2)
= √[(8)2 + (15)2]
= √289 = 17
Sin0 = opposite/ Hypotenuse
= 8/17
Sin0=8/17

Related Questions

A building has a height of 16 1/4 meters. Each floor in the building has a height of 3 1/4meters.
How many floors are in the building?

Answers

Answer:

5

Step-by-step explanation:

16 1/4 divided 3 1/4

A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 1 yard long, and the height of the equilateral triangle is 0.9 yards. The pyramid's slant height is 1 yard. What is its surface area?

Answers

Answer:

base: 1/4 * 12^2 * √3 = 36√3

each face: 1/2 * 12 * 8 = 48

Now finish it off

Step-by-step explanations:

Triangle XYZ is dilated by a scale factor of 4 3 . Which algebraic rule represents how to find the coordinates of triangle X’Y’Z’?

Answers

When the triangle XYZ is dilated by a scale factor of 4/3, the resulting triangle would have a bigger side lengths

The algebraic rule  is [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]

How to determine the algebraic rule?

From the question, we understand that:

The scale factor (k) of the dilation is:

k = 4/3

The dilation rule across the origin is represented as:

[tex](x,y) \to k(x,y)[/tex]

Substitute 4/3 for k

[tex](x,y) \to \frac 43(x,y)[/tex]

Expand

[tex](x,y) \to (\frac 43x,\frac 43y)[/tex]

Hence, the algebraic rule that represents how to find the coordinates of triangle X’Y’Z’ is [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]

Read more about dilation at:

brainly.com/question/26332230

A study was conducted of 351 species of mammals worldwide. The
scientists conducting the study found that 140 species could be
found in Asia and 94 species could be found in Africa, and of those,
22 could be found in both continents.
What is the probability of randomly selecting a species of mammal
that is neither found in Asia nor Africa? Write your answer as a
fraction.

Answers

Answer:

95/351

Step-by-step explanation:

the first thing you must do is to add 140 and 94 and 22 together

you get 256

then you subtract 351 with 256 and get 95

and then you do this

95/351

a group of 6 adults pay a total of $105 for for their admission to a museum. Each person has a coupon for $5 off the regular admission price. they want to know what the regular admission price is for one adult.​ Write an equation if a equals the regular admission price

Answers

Answer:

$22.50

Step-by-step explanation:

105/6= 17.5 each

17.5+5= 22.5

What equation best matches?

Answers

Last one! The (b+ d) one

a*b=a+2b find 2*3

please help me​

Answers

Answer:

7

Step-by-step explanation:

solna*b=a+2b2*3=a+2b a=3 b=2 =3+2×2 =3+4 =7answer

solve pls brainliest

Answers

Answer: The answer is -15/7

Step-by-step explanation: Think of the 3 as 3/1. You then have the equation as -5/7 x 3/1. Multiply straight across so it would be 5 x 3 and -7 x 1. It doesn't matter what you do with the negative as long as it is in the final answer. It could be in the denominator or the numerator. So that answer is -15/7.

HOPE THIS HELPED!

Answer:

-1 1/7 :)

Step-by-step explanation:

[tex]-\frac{5}{7}[/tex] x 3

[tex]-\frac{5}{7}[/tex] x [tex]\frac{3}{1}[/tex]

[tex]-\frac{15}{7}[/tex]

Now lest simplify it!!

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

Hope this helps!!

Have a great day!!

Please rate and mark brainliest!!

OMG IM SO SORRY BUT I SERIOUSLY NEED HELP

Answers

Answer:

C

Step-by-step explanation:

The answer is C because if you look at the shape carefully, there are two shapes. The measurements for the shape going up and down is (6 x 2 x 4) and the measurements for the shape going from left to right is (8 x 4 x 2).

I wasn't entirely sure how to explain this but I really hope this helps!

Answer:

A and C

those are the two ways to find surface area on that shape without overlap

Hi can I help me, I’ll reward Branliest!!! :)))

Answers

Answer: Below

Step-by-step explanation:

We find the area of the base. Since this is a rectangular pyramid, the base would be the rectangle on the bottom:

3 * 2 = 6

Next we find the height. If we draw the height, we can see that it makes a right triangle with the base and sides, making the Pythagorean theorem valid.

Sqrt(3.4^2 - 1^2) = 3.3

The equation for volume in a pyramid is (base*height)/3.

(3.3 * 6)/3 = 6.6

Our answers are:

1) 6

2) 3.3

3) 6.6

I need jelpsssssssss

Answers

Answer:

sum up all the sizes and multiple it by 2

Show that the triangles are similar and write a similarity statement.
pls help...

Answers

Step-by-step explanation:

BC / EC = 21/14 = 3/2.

AC / CD = 27/18 = 3/2.

Angle ACB and ECD are congruent because they are vertical angles.

This means that triangle ABC is similar to triangle DEC by SAS.

I’m very stuck and someone give the answer

Answers

Answer:

since there are 30 students as a whole and 20 boys make up part of the class, you can assume that there are 10 girls in the class. since the mean mark for boys is 62 I think the mean mark for girls would be 8%

Step-by-step explanation:

What transformation did Tory perform?

Answers

Answer:

She translated each vertex of Figure 1 seven units to the right.

Step-by-step explanation:

: Customers arrive at a shopping mart randomly at a rate of 7 per hour.

a) Find the probability that during any 90 minutes’ period, the number of customers arriving at the shopping mart is exactly 8

b) If a customer arrives at 11. 30 am, find the probability that the next patient arrives before

11. 45 am

Answers

Using the Poisson distribution, it is found that the probabilities are given by:

a) 0.1009 = 10.09%.

b) 0.8262 = 82.62%.

What is the Poisson distribution?

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.

Item a:

The mean is of 7 customers for 60 minutes, hence, for 90 minutes = 1.5 x 60 minutes, the mean is given by:

[tex]\mu = 1.5 \times 7 = 10.5[/tex]

The probability of exactly 8 customers is of P(X = 8), hence:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 8) = \frac{e^{-10.5}10.5^{8}}{(8)!} = 0.1009[/tex]

Item b:

Probability of at least one patient in 15 minutes, hence:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

For 15 minutes, the mean is given by:

[tex]\mu = 0.25 \times 7 = 1.75[/tex]

Then:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 8) = \frac{e^{-1.75}1.75^{0}}{(0)!} = 0.1738[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1738 = 0.8262[/tex]

More can be learned about the Poisson distribution at https://brainly.com/question/13971530

x - 3y - 3 = 0

3x - 9y - 2 = 0

Answers

Answer: no solution

             

              x - 3y = 3 --------> (1)

               3x - 9y - 2 = 0

               3x - 9y = 2 ---------> (2)

               Solving (1) and (2)

               x - 3y = 3

              3x - 9y = 2

              Multiply Eqn (1) by 3,

              3x - 9y = 9 -------> (3)

              3x - 9y = 2 ---------> (4)

Answer provided by Education Point

no solution

equation 1 : [tex]\sf x - 3y - 3 = 0[/tex]

equation 2 : [tex]\sf 3x - 9y - 2 = 0[/tex]

make x the subject in equation 1,

[tex]\sf x = 3+3y[/tex]

insert this in equation 2,

[tex]\rightarrow \sf 3(3+3y) - 9y - 2 = 0[/tex]

[tex]\rightarrow \sf 9+9y- 9y - 2 = 0[/tex]

[tex]\rightarrow \sf 7 = 0[/tex]

Thus no solution for x and y in this solution.

10 Cecelia took 40 minutes to complete a journey. She travelled half the distance at a speed of 100 km/h and the other half at 60 km/h. How far was her journey?

Answers

40 min = 40/60 hr = 2/3 hr

Distance = x km

t=distance/speed

x/200+x/120=2/3

multiply by 6oo

3x+5x=400

8x=400

x = 400/8=50km

The journey is for 50km


pls giive brainliest\


4. 10% of 210 is?
0.21
2100
2.10
21

PLEASE HELP!! 15 points asap!

Answers

Answer:

10% of 210 is 21

Step-by-step explanation:

The 1 in 10% is much help. Move the decimal point one place to the right.

I know this is not much, but I hope this helps :)

Melissa owns a catering company . For lunch and dinner parties , she serves appetizers before each meal. The number of appetizers Melissa serves is directly proportional to the number of guests at the party. For lunch parties, she serves 3 appetizers per guest. For dinner parties, she serves 5 appetizers per guest. When serving 22 guests, what is the difference of the number of appetizers she serves for dinner and the number of appetizers she serves for lunch?

Answers

Answer:

44

Step-by-step explanation:

Lunch = 3 appetizers per guest

If there are 22 guests:  22 × 3 = 66 appetizers served

Dinner = 5 appetizers per guest

If there are 22 guests:  22 × 5 = 110 appetizers served

Difference = total dinner appetizers  - total lunch appetizers

                  = 110 - 66

                  = 44

2. The center of a circle is at (4,-5). The radius of the circle is 10 units. Write the equation of the
circle.

Answers

Answer:

Step-by-step explanation:

Select each correct answer.


f(x) is a polynomial function.

f(x) is an exponential function.

g(x) is a polynomial function.

g(x) is an exponential function.

The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.

The output values of g(x) will surpass those of f(x) as the input values continue to increase.

Answers

Answer:

f(x) is a polynomial function.g(x) is an exponential function.The output values of g(x) will surpass those of f(x) as the input values continue to increase.

Explanation:

f(x) has a function of x³

g(x) has a function of [tex]\sf 3^X[/tex]

False statements:

The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.f(x) is an exponential function - as crosses x-axis, exponential never crosses x-axisg(x) is a polynomial function - as has no valid power.

Answer:

By examining the table of ordered pairs, notice that the function f(x) is the cube of [tex]x[/tex].  Therefore,  [tex]f(x)=x^3[/tex]

By examining the table of ordered pairs, notice that as [tex]x[/tex] increases by a constant value, the value of the function g(x) increases by the common ratio of 3. Therefore, [tex]g(x)=3^x[/tex]

From the table, both functions equal 27 when [tex]x=3[/tex], therefore, the point of intersection of the two functions is (3, 27).

As x increases past [tex]x=3[/tex], g(x) increases quicker than f(x) since g(x) is an exponential function and f(x) is a cubic polynomial.

So the following statements are true:

f(x) is a polynomial functiong(x) is an exponential functionThe output values of g(x) will surpass those of f(x) as the input values continue to increase.

Please refer to the attached graph of both functions with plotted ordered pairs.

What is the area of the triangle shown below?
m2

Answers

{[5*12]/2}+{[12*25]/2]= 30+150=180m

1/2 bxh

1/2 30 x 12

15 x12

=12

HELPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

x=6

Step-by-step explanation:

i hope it's helpful for you

Answer:

x=6

Step-by-step explanation:

24÷4=6

4×6=24

Hope it helps :))

helppppppppp please
thanks ​

Answers

Answer:

Here is the answer

Step-by-step explanation:

4^4/(6^6)

A cube has a lateral area of 676 square feet. what is the side length of the cube? 4.3 feet 6.5 feet 10.6 feet 13 feet

Answers

The side length of the cube is 13 feet.

We have given that

Lateral area of a cube = 676 square feet

We have to determine the side length of the cube

So here we use the formula of the lateral surface area of the cube.

What is the formula for Lateral surface area?

[tex]L=4side^2[/tex]

L=676,and side =a

[tex]676=4a^2[/tex]

divide both side by 4

[tex]\frac{676}{4}=a^2[/tex]

[tex]169=a^2[/tex]

Taking square root on both side of equation we will get

[tex]13=a[/tex]

Therefore, Side length of the cube is 13 feet.

To learn more about the lateral area visit:

https://brainly.com/question/1297098

Answer:

13

Step-by-step explanation:

A person places $81200 in an investment account earning an annual rate of 3. 6%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 13 years

Answers

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$81200\\ r=rate\to 3.6\%\to \frac{3.6}{100}\dotfill &0.036\\ t=years\dotfill &13 \end{cases} \\\\\\ A=81200e^{0.036\cdot 13}\implies A=81200e^{0.468}\implies A\approx 129659.95[/tex]

c)
Point C has me
same x-coordinate as point A
same y-coordinate as point B
Write down the coordinates
of point

Answers

Answer:

(-4, -2)

Step-by-step explanation:

x-axis is horizontal and y-axis is vetical. The first valye of point A is -4, the second value of point B is -2, therefore, point C = (-4, -2)

The coordinates of C from the given graph are (-4, -2).

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates of A = (-4, 1)

The coordinates of B = (3, -2)

Now,

Point C has me same x-coordinate as point A and the same y-coordinate as point B

So,

The coordinates of C = -4, -2)

Thus,

The coordinates of C from the given graph are (-4, -2).

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

A square rug has an area of 256 square feet. What is the perimeter of the rug?

Answers

Answer:

64

Step-by-step explanation:

[tex]\sqrt{256}[/tex] = 16 (length of each side)

A square (rug) has 4 sides.

Add to find perimeter:

16 + 16 + 16 + 16

= 64

Answer: 8ft

Step-by-step explanation:

4A= 256

4A/4     =    256/4

A = 64

A = a²

64 = 4²

a² = 64

a = ±√64

a = ±8

∴a = ±8

Hence, the length of a side of each rug is 8ft.

4. What is the proper way of naming the line at the right? A. ab B. ba C. AB D. AB

Answers

Answer:

C is the answers for the question

Step-by-step explanation:

please mark me as brainlest

( Pls Help ASAP) 1 question 15 points))

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

It says to find the value at x=2. This is going to be a vertical line that passes through the point (2,0). This vertical line intersects the function at (2,-3) therefore the value of the function at 2, is -3.

I hope this helps!

Please mark brainliest!!

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