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Dovator [93]
3 years ago
7

Given that sinθ=8/17 , what is cosθ ? Enter your answer, as a simplified fraction, in the boxes.

Mathematics
1 answer:
leonid [27]3 years ago
4 0

Cosθ = 15/17

Step-by-step explanation:

Sinθ = 8/17

We know that,

Sin^2 θ + cos^2 θ =1

64/289 + cos^2 θ =1

1 - 64/289 = cos^2 θ

225/289 = cos^2 θ

Cos θ = √225/289

Cos θ = 15/17

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Answer: here 298.45

Step-by-step explanation:

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Randy has two 28.pound blocks of ice for his snow cone stand. if each snow cone.⅔ requires; Pound to ice, how many snow cones ca
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Answer:

Randy can make 42 snow cones.

Step-by-step explanation:

28 divided by 2/3 = 42.

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What polygon has a measure of 1080
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Which of the following equations has the same solutions as the equation 3x+2y=-12? Check all that apply.
grigory [225]
ANSWER

B,C,E \: and \: F



EXPLANATION

The given equation is
3x + 2y =  - 12

The solution to this equation can be found by making y the subject.

\Rightarrow \: 2y =  - 3x - 12


\Rightarrow \: y =  -  \frac{3}{2} x - 6
This equation has infinitely many solution. Any real value we choose for x, there is a corresponding y-value.



To find which of the given options also has the same solution, we make y the subject.


A

3x - 2y = 12


\Rightarrow \:  - 2y =  - 3x  +  12


\Rightarrow \: y =   \frac{3}{2} x   - 6


This is not the same as the given equation.


B


- 3x - 2y = 12


\Rightarrow \:  - 2y =   3x  +  12


\Rightarrow \: y =   -  \frac{3}{2} x   -  6

This solution is the same as the one given.




C.
15x + 10y =  - 60


\Rightarrow \: 10y =  - 15x - 60



\Rightarrow \: y =  -  \frac{15}{10} x -  \frac{60}{10}


\Rightarrow \: y =  -  \frac{3}{2} x - 6


This is the same as the above solution.


D.
6x + 2y =  - 12



\Rightarrow \: 2y =  - 6x - 12


\Rightarrow \: y =  -  3 x - 6

This is not the same as the one given.


E.

6x + 4y =  - 24


\Rightarrow \: 4y =  - 6x - 24


\Rightarrow \: y =  -  \frac{6}{4} x -  \frac{24}{4}

\Rightarrow \: y =  -  \frac{3}{2} x - 6

This is the same as the one given.


F.

1.5x + y =  - 6


\Rightarrow \: y =  - 1.5x - 6


\Rightarrow \: y =  -  \frac{3}{2} x - 6

Thus is the same as the one given.



G.
x +  \frac{2}{3} y =  - 12


\Rightarrow \:  \frac{2}{3} y =  - x - 12


\Rightarrow \: y =  -  \frac{3}{2} x - 12 \times   \frac{3}{2}

\Rightarrow \: y =  -  \frac{3}{2} x - 18


This is not the same as the one given.



4 0
3 years ago
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4/5 = % its blank at the %
Goryan [66]

Answer:

Step-by-step explanation:

4/5 = 0.8 whitch = 80

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