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erastovalidia [21]
3 years ago
12

“A cylindrical bale of hay needs to be wrapped in plastic. It has a height of 9 ft. and a radius that is one-third of its height

. How many square feet of plastic is needed?”
Mathematics
1 answer:
cricket20 [7]3 years ago
5 0

Answer:

A = 226.08

Step-by-step explanation:

Assuming that you are  wrapping the sides of the cylinder and the circular top and bottom, then the formula for the surface area of the cylinder is:

A=2πrh+2πr^2 so substitute for each variable A=2(3.14)(3)(9) + 2(3.14)(3)^2

notice how I substituted 3 for the radius since it is 1/3 of 9 (the height)

Solving we get A = 169.56 + 56.52 = 226.08

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Guys please help! In triangle CDE, the measure of angle C is 90 degrees, side CD is 15 and DE is 3 more than CE. Find the length
AURORKA [14]
You can calculate it using the law of cosines: c^2=a^2+b^2-2*a*b*cos(C)

your triangle is
CD=15=a
CE=?=b
DE=CE+3=b+3=c
and C=90°

-> insert those values, with c substituted with b+3 to remove c

c^2=a^2+b^2-2*a*b*cos(C)
(b+3)^2=15^2+b^2-2*15*b*cos(90)
cos(90)=0->
(b+3)^2=15^2+b^2
b^2+2*3*b+3^2=225+b^2
6b+9=225
6b=216
b=36=CE

DE=CE+3=36+3=39
4 0
3 years ago
Please help! I’m in a test rn! If f(x) and g(x) are inverse functions of each other, which of the following statements is true?
White raven [17]

Answer:

D) (g\cdot f)(x)=x

Step-by-step explanation:

If two functions f(x) and g(x) are inverse of each other, then the following conditions must be true:

i. (f\cdot g)(x)=x

ii. (g\cdot f)(x)=x

Therefore, out of the four choices available, only option D matches the condition for inverse function to exist.

Therefore, (g\cdot f)(x)=x

5 0
3 years ago
Denise lives in a two-story house with a basement. The first
Umnica [9.8K]

Answer:

Distance = 110.5 cm

Step-by-step explanation:

It is given that,

The basement floor is at  an elevation of −10.5 feet

The second story floor has an  elevation of 121 feet.

We need to find the distance between the basement floor and the second story floor.

Distance = -10.5 + 121

= 110.5 feet

So, the distance between the basement floor and the second story floor is 110.5 cm.

7 0
2 years ago
The populations of two cities after t years can be modeled by -150t+50,000 and 50t+75,000 . What is the difference in the popula
creativ13 [48]

Answer:

The difference in the populations of the cities when t=4 is 25,800.

Step-by-step explanation:

Given equations each of the city:

-150t+50,000

and

50t+75,000

To find the difference between the population when t=4, we first have to solve both equation when t=4.

For both equations, substitute 4 into t:

-150(4) + 50,000 = 49,400

50(4) + 75,000 = 75,200

Now subtract 49,400 from 75,200 and you get 25,800.

The difference in the populations of the cities when t=4 is 25,800.

3 0
2 years ago
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Division story for 18÷3
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There are 18 cookies divided by 3 friends so each friend gets 6 cookies.
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3 years ago
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