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2 years ago

I need to simplify (a2b4c)3

Mathematics

2 answers:

Snowcat [4.5K]2 years ago

6 0

Answer:

3a²b^4

Step-by-step explanation:

denpristay [2]2 years ago

3 0

Answer:

Hello There!!

Step-by-step explanation:

The answer is a6b12c3.You times the numbers inside the brackets by the outside number.

hope this helps,have a great day!!

~Pinky~

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12) 8x - 2 = -9 + 7x<br> Answer

kow [346]

Answer:

-7

Step-by-step explanation:

8x - 2 = 7x - 9

8x - 2 - 7x = 7x - 9 - 7x

x - 2 = -9

x - 2 + 2 = -9 + 2

x = -7

4 0

2 years ago

A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of t

Vlad1618 [11]

Answer:

$185553.7\text{ feet}^3$

Step-by-step explanation:

GIVEN: A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of the dome is $84\text{ feet}$ , and the total height of the building up to the top of the dome is $91\text{ feet}$ .

TO FIND: what is the approximate total volume of the building.

SOLUTION:

let the height of the mountaintop be $h\text{ feet}$

As the dome hemispherical.

circumference of a hemisphere $=\frac{1}{2}\times2\pi\times radius$

$=\pi\times radius$

$\frac{22}{7}\times radius=84$

$radius=26.75\text{ feet}$

total height of the building up to the top of the dome $=\text{radius of hemisphere}+\text{height of mountaintop}$

$=26.75+h=91$

$h=64.25\text{ feet}$

Volume of building $=\text{volume of cylindrical mountaintop}+\text{volume of dome}$

$=\pi(radius)^2h+\frac{2}{3}\pi(radius)^3$

as radius of mountain top is same as dome

putting values

$=3.14(26.75)^264.75+\frac{2}{3}3.14(26.75)^3$

$=145484.6+40069.1$

$185553.7\text{ feet}^3$

Hence the total volume of the building is $185553.7\text{ feet}^3$

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3 years ago

Help! how can i determine the range

djverab [1.8K]

Answer:

$[-1,\infty)$

Step-by-step explanation:

Remember that the range is the set of all y-values. Thus, since the minimum of the function is y=-1, then our range is $[-1,\infty)$ . In interval notation, we use brackets to show what's included and parentheses to show what's not included.

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2 years ago

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Evan wants to make a kneeling pad cushion for when he gardens for long periods of time. It will have the dimensions shown. How m

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Question

Even wants to make a kneeling pad cushion for when he gardens for long periods of time. How much fabric should he buy to cover the cushion?

Answer:

Surface area, 440 in 3

Step-by-step explanation:

I just did this question on my assignment on Edge 2021

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2 years ago

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One of the legs of a right triangle measures 8 cm and its hypotenuse measures 14 cm.

Ugo [173]

Answer:

about 11.5 cm.

Step-by-step explanation:

I know the measurement of the other leg is about 11.5 cm. I know because I used the Pythagorean theorem.

a^2+b^2=c^2.

"a" and "b" are the values of the legs of the triangle, while "c" is the measure of the hypotenuse. We know that 8cm is the measure of one of the legs, and 14 cm is a measure of the hypotenuse.

8^2+b^2=14^2 simplified: 64+b^2=196

Then, I subtracted 64 on both sides, so I would have "b" by itself.

b^2=132

Next, I found the square root of both b^2 and 132, so I would find the true value of "b."

b=11.4891252931

So, the measure of the other leg rounded to the nearest tenth is about 11.5.

3 0

2 years ago