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frez [133]
3 years ago
13

Why must the value of the sine ratio for an acute angle

Mathematics
1 answer:
Fynjy0 [20]3 years ago
4 0

Answer:

Because of the range of the sine function.

Step-by-step explanation:

The reason why the value of the sine ratio for an acute angle

of a right triangle must always be a positive value less

than 1 has to do with the the range of the sine function.

The range of the sine function is

- 1 \leqslant y \leqslant 1

But in the first quadrant all y-values are positive and acute angles are less than 90°.

Therefore the range will now be 0≤y<1 for acute angles.

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Simplify 108 over 308​
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Alice and Claire go apple picking. When they are done, Claire has 3 times as many apples in her basket as Alice has in hers. (No
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Answer:

6 apples, 21 apples, 30 apples respectively

Step-by-step explanation:

Let us first start by writing <u>expressions</u> so that we can easily solve for the problems below.

Let us suppose Alice is x. In this case, Claire has 3 times Alice's apples, so 3x.

1. If Alice has 2 apples (x), then Claire has 3x

3*2=<u>6 apples</u>

Claire has 6 apples.

2. If Alice has 7 apples (x), then Claire has 3x

3*7=<u>21 apples</u>

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<u />

3. If Alice has 10 apples (x), then Claire has 3x

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<em>I hope this helps! Please let me know if you have any further questions :)</em>

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20-%2022x%20%20%2B%20121" id="TexFormula1" title=" {x}^{2} - 22x + 121"
eduard

Let's factor x^2−22x+121

The middle number is -22 and the last number is 121. Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks? We need two numbers that...

Add together to get -22

Multiply together to get 121

Can you think of the two numbers?

Try -11 and -11:

-11+-11 = -22

-11*-11 = 121

Fill in the blanks in

(x+_)(x+_)

with -11 and -11 to get...

(x-11)(x-11)


Answer: (x-11)(x-11)


Hope this helps!!!

3 0
3 years ago
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