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3 years ago

Hello

Mathematics

1 answer:

grigory [225]3 years ago

7 0

Answer:

your panic replace with prayer with and worry with worship

Step-by-step explanation:

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The sum of the ages of Kristen and Ben is 32. Four years ago Kristen was twice as old as Ben. How old are they both now?

Elan Coil [88]

Let us say that:

K = age of Kristen

B = age of Ben

From the problem, we make the equations:

eqtn 1: K + B = 32

eqtn 2: (K – 4) = 2 (B – 4)

Simplifying eqtn 2:

K – 4 = 2 B – 8

K = 2 B – 4

Plugging in this to eqtn 2:

(2 B – 4) + B = 32

3 B – 4 = 32

3 B = 36

B = 12

From eqtn 2:

K = 2 B – 4 = 2 (12) – 4 = 20

So Kristen is 20 while Ben is 12.

5 0

4 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

1/8 + 1/4 ?? Why do I need 20 characters to summit this

abruzzese [7]

Answer:

0.375

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Chanelle deposits $7,500 into the bank. She does not withdraw or deposit money for 6 years. She earns 6% interest during that ti

Lubov Fominskaja [6]

Answer:

2700

Step-by-step explanation:

3 0

3 years ago

Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.

Whitepunk [10]

Answer:

Step-by-step explanation:

The question is asking for the square root of twelve.

If you multiply the 2 and 6, you get twelve.

Simplofy the fraction, you get one half.

If something is to the power of one half, we need the square of it. Yet 12 does not have a square root so you decide your format of answer, under a radical, or to the power of one half.

3 0

2 years ago