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3 years ago

Which pair of equations can be used to solve for x in PQR?

Mathematics

1 answer:

almond37 [142]3 years ago

7 0

Answer:

Step-by-step explanation:

sin57° = $\frac{opposite}{hypotenuse}$ = $\frac{PQ}{PR}$ = $\frac{x}{18}$

∠ P = 180° - (90 + 57)° ← sum of angles in triangle

∠ P = 180° - 147° = 33° , then

cos33° = $\frac{adjacent}{hypotenuse}$ = $\frac{PQ}{PR}$ = $\frac{x}{18}$

Thus the 2 ratios used to solve for x are A

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The width of a rectangular pool is 5 meters longer than the length. The perimeter of the pool is 58 meters. Use and equation to

garri49 [273]

The perimeter of a rectangular pool = 2l + 2w

If the width is 5m longer than the length,

Then Perimeter = 2(l + 5) + 2l
= 4l + 10 {THE EQUATION}

Since Perimeter = 58 m
Then 4l + 10 = 58 m

⇒ l = 12 m

Thus the Length of the Pool = 12 m

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3 years ago

If costheta=4/5 then what is sec^2theta

DaniilM [7]

Answer:

$\sec^2(\theta)=\frac{25}{16}$

Step-by-step explanation:

Recall what the relationship between cosine and secant:

$\sec(\theta)=\frac{1}{\cos(\theta)}$

In other words, secant is the reciprocal of cosine.

So, if we know cosine, we only need to find its reciprocal to find secant.

We are given that cosine is:

$\cos(\theta)=\frac{4}{5}$

Then secant must be:

$\sec(\theta)=\frac{5}{4}$

So:

$\sec^2(\theta)=(\frac{5}{4})^2$

Square:

$\sec^2(\theta)=\frac{25}{16}$

And we're done!

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3 years ago

How can I explain with mental math

jeka94

Use a property that’s a good reason then tear it apart

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3 years ago

Find the product of 2x2(x + 6). Group of answer choices 8x3 2x3 + 12x2 3x3 + 12x2 2x2 + x + 6

jok3333 [9.3K]

Answer:

Step-by-step explanation:

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2 years ago

Solve. 3p + 13 = 37 enter answer in box

Snowcat [4.5K]

<span>3p + 13 = 37
Subtract 13 from both sides
3p=24
Divide 3 on both sides
Final Answer: p=8</span>

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2 years ago

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