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Sunny_sXe [5.5K]

3 years ago

6

In a right triangle, the length of the hypotenuse is 20 inches and the length of one leg is 15 inches. What is the length of the

other leg in inches?
A. 5√ 7
B. 25
C. √ 7
D. 5

1 answer:

Eduardwww [97]3 years ago

3 0

By Pythagoras Theorem,
Length= (20^2 - 15^2)^0.5= (175)^0.5=5√7

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Find each number. Round to the nearest tenth if necessary

Pavel [41]

Answer:

96
6.9
25%
8%
79
33.8

Step-by-step explanation:

Here is the complete question: Find each number. Round to the nearest tenth if necessary.

80% of 120.
115% of 6
What percent of 128 is 32?
3 is what percent of 36?
23.7 is 30% of what number?
71/2% of what is 12?

1) 80% of 120

= $\frac{80}{100} \times 120= 8\times 12$

= 96

∴ 80% of 120= 96

2) $115\%\ of\ 6$

= $\frac{115}{100}\times 6= 1.15\times 6$

∴ $115\%\ of\ 6$ = 6.9

3) What percent of 128 is 32?

= $\frac{32}{128} \times 100$

= $25\%$

4) 3 is what percent of 36?

= $\frac{3}{36} \times 100$

= $8\%$

5) 23.7 is 30% of what number?

Let the number be "x".

⇒ $\frac{30}{100} \times x= 23.7$

Cross multiplying

⇒ $x= \frac{23.7\times 100}{30}$

∴ x= 79.

6) 71/2% of what is 12?

Lets assume the required number be "x".

⇒ $\frac{71}{2} \times 100\times x= 12$

cross multiplying both side.

⇒x= 33.8

∴ 71/2% of 33.8 is 12

6 0

3 years ago

Brady is saving $360 to buy a new hoverboard. He already has $85 and can earn $12 per hour at work. Which of the following equat

Vilka [71]

Answer:

23h

Step-by-step explanation:

360-85= 275

he need 275$

so 12$ per hour

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What is the frequency of the graph of y = 1/3 sin(2x)?

vovangra [49]

Given:

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$y=\dfrac{1}{3}\sin (2x)$

To find:

The frequency of the graph of given function.

Solution:

If a sine function is defined as:

$y=A\sin(Bx+C)+D$

Then, the frequency of the sine function is:

$f=\dfrac{B}{2\pi}$

We have,

$y=\dfrac{1}{3}\sin (2x)$

Here, $B=2$ . So, the frequency of the given function is:

$f=\dfrac{2}{2\pi}$

$f=\dfrac{1}{\pi}$

Therefore, the correct option is D.

3 0

2 years ago

HG is the perpendicular bisector of FK.<br> What is the length of GH?<br> 8<br> 9<br> 15<br> 34

igor_vitrenko [27]

Answer:

GH=15

Step-by-step explanation:

HK= FK/2= 16/2= 8

Using pythagoras theorem in triangle GHK,

GH²= GK²-HK²

= 17²-8²

= 225

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=15

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2 years ago

Evaluate the algebraic expression for the given variable <br> -x- -3,x=-5

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Here u go, u replace x by the number

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3 years ago