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3 years ago

Can someone please explain this?

Mathematics

1 answer:

Nuetrik [128]3 years ago

3 0

The square root of (5^2) is 5. {(5^2)=25} {square root 25 is 5}.

The square root of -5^2 is also 5. {(-5^2)=25} {square root 25 is 5}.

Hope this helps!

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The sales tax for an item was 12.80 and it cost 320 before tax

Arlecino [84]

Answer:

Step-by-step explanation:

Divide the tax by the pre-tax price =

12.80/320 = .04 or 4%

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3 years ago

45 centimeters is equivalent to how many inches?

Fiesta28 [93]

It is equivalent to 17.7165 inches.

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3 years ago

Read 2 more answers

Can someone solve this?

ladessa [460]

First question:

Recall that $\cos^2x+\sin^2x=1$ and $\sqrt{x^2}=|x|$ for all $x$ . So

$\sqrt{1-\cos^2x}=\sqrt{\sin^2x}=|\sin x|$

$\sqrt{1-\sin^2x}=\sqrt{\cos^2x}=|\cos x|$

For $0$ , we expect both $\cos x>0$ and $\sin x>0$ (i.e. the sine and cosine of any angle that lies in the first quadrant must be positive). By definition of absolute value, $|x|=x$ if $x>0$ .

So we have

$\dfrac{\sqrt{1-\cos^2x}}{\sin x}+\dfrac{\sqrt{1-\sin^2x}}{\cos x}=\dfrac{\sin x}{\sin x}+\dfrac{\cos x}{\cos x}=1+1=\boxed{2}$

making H the answer.

Second question:

C is always true, because the inequality reduces to x > y.

6 0

4 years ago

I WILL MAKE BRAINLEST!!!!!!

frozen [14]

Answer:

$\sqrt{\frac{9}{4}}$ < $\frac{5}{3}$ < $\sqrt{5}$ < 2.5

Step-by-step explanation:

Given the following numbers, $\sqrt{\frac{9}{4}}, \sqrt{5}, 2.5, and, \frac{5}{3}$ , let's express each as whole or decimal numbers, to find out the least to the greatest.

$\sqrt{\frac{9}{4}} = \frac{\sqrt{9}}{\sqrt{4}}$

$\frac{3}{2} = 1.5$

$\sqrt{5}$ ≈ 2.2

2.5 (already in decimal form)

$\frac{5}{3}$ ≈ 1.7

From the least to the greatest, we have:

$\sqrt{\frac{9}{4}}$ < $\frac{5}{3}$ < $\sqrt{5}$ < 2.5

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3 years ago

Find the digit that makes _ 3520 by 9

olga nikolaevna [1]

Remember the divisibility rule for 9. The sum of the digits of the number must be divisible by nine.
Let the digit be $x$ . Then $x+3+5+2+0=x+10$ has to be divisible by nine. Recalling that $18=9*2$ , we note that $x=8$ .

7 0

3 years ago