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3 years ago

5

In the diagram below eg=100, ef=4x-20, and fg=2x+30

1 answer:

alisha [4.7K]3 years ago

8 0

4x + 20 + 2x + 30 = 100
6x + 10 = 100
6x = 90
x = 18

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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 $185553.7\text{ feet}^3$

5 0

3 years ago

PRE-CAL/CAL MASTER NEEDED

Tanzania [10]

For every x you see in the f function you will replace with the h function

3 0

3 years ago

In a highway building project, 32 miles of a new highway have been

pychu [463]

Answer: 105 miles

Step-by-step explanation:

You can write an equation for this problem and solve it.

32 miles=1/3x-3, where x is equal to the total length of the highway.

35=1/3x, and then you multiply by 3, to get x=105

7 0

2 years ago

Find cos(β) in the triangle.

svetlana [45]

90°+b+b =180

90°+ 2b=180

2b=180-90

2b= 90

<u>2</u><u>b</u><u>=</u><u>9</u><u>0</u>

<u>2</u> = 2

b=45°

ave tried I don't know if its correct

8 0

2 years ago

What’s the answer? <br> Idk what it is

Aleks [24]

Answer:

B -9/7

Step-by-step explanation:

We need to find a number between

-3 1/3 < x < -4/5

We want a number smaller than between -3 1/3 and -.8

Looking at the choices

-9/7 = - (7/7 + 2/7) = -(1+2/7) = -1 2/7

That is between -3 1/3 and -4/5

8 0

3 years ago

Read 2 more answers