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e-lub [12.9K]
3 years ago
6

Find sin(7pie/4) using exact values

Mathematics
1 answer:
rewona [7]3 years ago
3 0
sin( \frac{ 7\pi }{4} )=-sin(2 \pi - \frac{ 7\pi }{4} )=-sin \frac{ \pi }{4} =- \frac{1}{ \sqrt{2} }
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2 A rectangular pyramid and rectangular prism have congruent bases and heights. The area of each of the bases is 36 in.2. 36 in.
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Answer:

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Step-by-step explanation:

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2 years ago
Linear functions :( please help!
liraira [26]
The answer to this question is “J”, y=4x+1
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3 years ago
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If you got 5 dogs and 7 cats but one got eaten from both of them. How much do you have left.
Talja [164]
4 & 6 cause one of both of them got eaten
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3 years ago
What is 0.66666666666 as a fraction
stellarik [79]

To turn 0.(6)=0.6666... into a fraction you should do such steps:

1 step. Set up an equation by representing the repeating decimal with a variable. Using your example, you will let x represent the repeating decimal 0.(6), so you have x=0.666... .

2 step. Identify how many digits are in the repeating pattern, or n digits. Multiply both sides of the equation from Step 1 by 10^n to create a new equation. Again, using your example, you see that the repeating pattern consists of just one digit: 6. Now multiply both sides of the equation by 10^1 = 10. Thus, you have 10x = 10 \cdot 0.666... or 10x = 6.666.....

3 step. Subtract the equation in Step 1 from the equation in Step 2. Notice that when we subtract these equations, our repeating pattern drops off. Therefore, 10x-x=6.666...-0.666...\\ 9x=6.

4 step. You now have an equation that you can solve for x and simplify as much as possible, using x as a fraction: 9x = 6. If you divide both sides by 9, you get x=\dfrac{6}{9}. When simplified, you get that x=\dfrac{2}{3}.

Answer: 0.(6)=0.666... =\dfrac{2}{3}.

8 0
3 years ago
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A newspaper and three hot chocolates cost $7. Two newspapers and two hot chocolates cost $6. How much does one hot chocolate cos
pochemuha

Answer:

the cost of one hot chocolate is $2.

Step-by-step explanation:

Let x be the hot chocolate cost and y be the newspaper cost.

Given:

A newspaper and three hot chocolates cost $7

So, the equation is

3x+y=7--------(1)

Two newspapers and two hot chocolates cost $6

So, the second equation is.

2x+2y=6---------(2)

Find one hot chocolate cost?

Solve equation 1 for y.

3x+y=7

y=7-3x

Put y value in equation 2

2x+2(7-3x)=6

2x+14-6x=6

14-4x=6

-4x=6-14

-4x=-8

negative sign is cancelled both side.

x=\frac{8}{4}

x=2

Therefore, the cost of one hot chocolate is $2.

3 0
3 years ago
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