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3 years ago

Find the value of n in each of the following proportions.

Mathematics

1 answer:

Setler79 [48]3 years ago

7 0

Answer:

Step-by-step explanation:

18/n = 21/28 You can cancel, but calculators make that unnecessary. Cross multiply

21n = 18 * 28

21n = 504 Divide by 21

n = 504 / 21

n = 24

==================

12/16 = n / 64 Cross Multiply

16n = 12 * 64

16n = 768 Divide by 16

n = 768/16

n = 48

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What is the reciprocal of 2/3

galina1969 [7]

Answer:

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3 years ago

2(4x-3)>-3(3x)+5x help

Roman55 [17]

Answer:

$x>1/2$

Step-by-step explanation:

$2(4x-3)>-3(3x)+5x$

Expand the brackets.

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Add -9x and 5x

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Add 4x and 6x on both sides.

$8x+4x>6$

Add the like terms.

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Divide 12 into both sides.

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3 years ago

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Ashley has a sprinkler that has several varieties of coverage. The quarter circle sprinkler head sprays water a distance of up t

alukav5142 [94]

Answer:

314 square feet

Step-by-step explanation:

we know that

The area that will be covered by the spray of the quarter-circle sprinkler head, is equal to the area of a quarter circle with radius of 20 feet

The area of a quarter circle is

$A=\frac{1}{4}\pi r^{2}$

we have

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3 years ago

Look at the image. (calculus)

mash [69]

<h3>Answer: Choice H) 2</h3>

=============================================

Explanation:

Recall that the pythagorean trig identity is $\sin^2 x + \cos^2x = 1$

If we were to isolate sine, then,

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

We don't have to worry about the plus minus because sine is positive when 0 < x < pi/2.

Through similar calculations, $\cos x = \sqrt{1-\sin^2x}\\\\$

Cosine is also positive in this quadrant.

-------------

So,

$\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}\\\\\frac{\sin x}{\sin x}+\frac{\cos x}{\cos x}\\\\1+1\\\\2$

Therefore,

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

is an identity as long as 0 < x < pi/2

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2 years ago

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Hannah decided to make finger gelatin for a huge children’s party. She had to make 8 packs of gelatin. Each pack needed 2 cups o

Nadya [2.5K]

Answer:

4 quarts

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2 years ago

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