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2 years ago

12. Ben says

Mathematics

1 answer:

olganol [36]2 years ago

5 0

Answer:

Yes Ben is correct

Step-by-step explanation:

For example:

If n² is the greater of the two consecutive square numbers, then the difference will be 2n-1. So for example, if you have two consecutive squares with the values of 25, and 36, their difference will be 11. Notice though that 11=2×6–1, so it conforms to 2n-1.

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Write <br> 46.017<br> as a mixed number.

ddd [48]

17 is in the thousandths place, so we write it as a fraction over 1000.

17/1000

So we have:

46 17/1000

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3 years ago

Read 2 more answers

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

What is 0. 72 [REPEATING] as a fraction in simplest form?

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The answer is 13/18 because it is congruent to 0.7(2).

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3 years ago

Tom was measuring a piece of wood to build a shelf for his daughter. The shelf is 36 inches long. He tells his daughter, Hadlee

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They are the same length,because 3 fr is the same as 12 inches times 3 equals 36 inches

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3 years ago

Angela drew Triangle ABC. She dilated Triangle ABC by a scale factor of 13 with the center of dilation at the origin. Then she t

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Answer:

Triangle ABC is similar but not congruent to Triangle XYZ

Step-by-step explanation:

When you dilate the size changes but the angles are the same with makes them similar and since the size of the triangles are different they cannot be congruent.

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3 years ago