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3 years ago

9a - 3 (a - 6) = -6 a=___

1 answer:

7 0

9a - 3(a - 6) = -6...distribute thru the parenthesis
9a - 3a + 18 = -6....subtract 18 from both sides
9a - 3a = -6 - 18 ...combine like terms
6a = - 24...divide both sides by 6
a = -24/6
a = - 4

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Cylinder A has a radius of 10 inches and a height of 5 inches. Cylinder B has a volume of 750π. What is the percentage change in

Firlakuza [10]

Answer:

50% change in volume

Step-by-step explanation:

<h2>This problem bothers on the mensuration of solid shapes.</h2>

In this problem we are to find the volume of the first cylinder and compare with the second cylinder.

Given data

Volume v = ?

Diameter d= ?

Radius r = $10 in$

Height h= $5 in$

we know that the volume of a cylinder is expressed as

$volume = \pi r^{2}h$

Substituting our given data we have

$volume = \pi*10^{2}*5\\ volume= \pi *100*5\\volume= 500\pi in^{3} \\$

The first cylinder as a volume of $500\pi$

The change in volume is $750\pi - 500\pi = 250\pi$

percentage = $\frac{250\pi }{500\pi } *100$

$percentage=$ $0.5*100= 50$ %

6 0

3 years ago

Read 2 more answers

The base of an isosceles triangle is one and a half times the length of the other two sides.A smaller triangle has a perimeter t

Anna11 [10]

Answer:

Perimeter of the smaller triangle = 1.75x

Step-by-step explanation:

Let the two equal sides of an isosceles triangle = x

Therefore, length of the base = $(1\frac{1}{2})x$

Perimeter of this isosceles triangle = x + x + $(1\frac{1}{2})x$

= 2x + $(1+\frac{1}{2})x$

= 2x + x + $\frac{x}{2}$

= $\frac{5x}{2}$

Since, smaller triangle has a perimeter that is half the perimeter of the larger triangle,

Length of each corresponding side of smaller triangle will be half of the larger triangle.

Length of sides of the smaller triangle = $\frac{x}{2},\frac{x}{2},(1\frac{1}{2})\frac{x}{2}$

Perimeter of the smaller triangle = $\frac{x}{2}+\frac{x}{2}+(1\frac{1}{2})\frac{x}{2}$

= x + $\frac{x}{2}+\frac{x}{4}$

= $\frac{3}{2}x+\frac{x}{4}$

= $\frac{6}{4}x+\frac{x}{4}$

= $\frac{7}{4}x$

= 1.75x

Therefore, expression that represents the perimeter of the smaller triangle is (1.75x)

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3 years ago

The quadrilaterals ABCD and JKLM are similar. find the length x of MJ

Rina8888 [55]

Answer:

x = 5.6

Step-by-step explanation:

So, lets first go over something:

What does it mean for two shapes to be similar?

It means that all their angles are the same, but their side lengths are different, or in other words, one triangle has a different ratio of side lengths to the other.

So how can we find this ratio difference?

We can take the lengths of the same sime on the two different traingles.

You could go with 4 : 3.2 or 2 : 1.6

When you simplfy this, you get 1 : 0.8

We can then find the value of x by multiplying the two ratios by 7, which is the side length of the similar triangle's unknown side:

7 : 5.6

This means that x = 5.6

Hope this makes sense!

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3 years ago

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The perimeter of the square park is 240m, then the side of the square park is _______.

Colt1911 [192]

Step-by-step explanation:

A square's perimeter consists of 4 equal sides.

Therefore side of square park = 240m/4 = 60m.

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3 years ago

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Please help me thank you

Lina20 [59]

Find the hypotenuse.a square+ b square=c square. for both. and which ever is higher is harder to climb

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4 years ago