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3 years ago

I need to find the slope

Mathematics

1 answer:

dangina [55]3 years ago

6 0

Answer:

1/-4

Step-by-step explanation:

(2,-3),(-2,-2)

-2 + 3/ -2 - 2

1/-4

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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

a plane can fly 7 miles per minute. the plane will fly 8 trips, and each trip is 810 miles. how many hours will the plane fly? s

Gnesinka [82]

Answer: 12 hours and 24 Minutes

Step-by-step explanation:

7*60 = 420

810/420 = 1.9285

93- 100 = 53-60

subtract 40 from 93.

1.53*8 = 12.24

Answer: 12 hours and 24 Minutes

3 0

3 years ago

mollys jump rope is 6 1/3 feet long. Gals jump rope 4 2/3 feet lo g. How much longer is Molly's jump rope?

Vlad1618 [11]

6 1/3- 4 2/3 =5 4/3- 4 2/3=1 2/3
You can't subtract fractions unless you have the same denominator.

8 0

3 years ago

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If you have the circumference of a circle. How do you find the radius?

algol13

The formula for finding c...” No, you would divide it. The formula for finding circumference is 2 x pi x r, where r is the radius. 2 x r = d, where d is diameter.

6 0

3 years ago

The following function represents the value of a car, in dollars, after x years:

Assoli18 [71]

Answer:

Option D.The decrease in the value of the car, which is 8%

Step-by-step explanation:

we have a exponential function of the form

$f(x)=a(b)^{x}$

where

y is the value of the car

x is the time in years

a is the initial value

b is the base

r is the rate of decrease

b=1+r

In this problem we have

a=$24,000 initial value of the car

b=0.92

0.92=1+r

r=0.92-1=-0.08=-8%-----> is negative because is a rate of decrease

8 0

3 years ago

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