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olasank [31]
2 years ago
10

A thermal insulating sleeve is used to cover the lateral surface of a hot water heater to help improve efficiency. The hot water

tank is a cylinder with a 13 inch radius and a 75 inch height. The sleeve is 3 inches thick. The insulting material that makes up the sleeve is a fiberglass composite. How many cubic inches of fiberglass composite are needed to create each sleeve, to the nearest tenth of a cubic foot ?
Mathematics
1 answer:
Alex2 years ago
8 0

Answer:

706.85775

Step-by-step explanation:

First you find the volume of the tank

13*3.14159=40.84067

40.84067*75=3063.05025

Then find the volume of both the tank and sleeve

13+3=16

16*3.14159=50.26544

50.26544*75=3769.908

Subtract the original volume with the combined volume

3769.908-3063.05025=706.85775

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56. Mikayla is filling a glass sphere with water.
kirill [66]

Answer:

The minimum amount of water to fill the sphere is 904.32\ in^{3}

Step-by-step explanation:

we know that

The volume of the sphere (glass sphere) is equal to

V=\frac{4}{3}\pi r^{3}

we have

r=12/2=6\ in ----> the radius is half the diameter

assume

\pi =3.14

substitute

V=\frac{4}{3}(3.14)(6)^{3}

V=904.32\ in^{3}

8 0
2 years ago
Right angle FCD intersects Line A B and Ray C E at point C. AngleFCE is congruent to AngleECD. AngleECD is complementary to Angl
AlexFokin [52]

Answer:

A: They are congruent and complementary.

Step-by-step explanation:

Just took the test hope this helps :D

5 0
2 years ago
Read 2 more answers
Just need to check these answers
amid [387]
Great Job! they are all correct.  :)


Good luck in your next tests.
3 0
2 years ago
Howmet Corporation needs $200,000 in 5 years.
Bogdan [553]
:)
The formula of the future value of annuity ordinary is
Fv=pmt [(1+r/k)^(kn)-1)÷(r/n)]
So we need to solve for pmt
Pmt=fv÷[(1+r/k)^(kn)-1)÷(r/n)]
Pmt=200,000÷(((1+0.10÷4)^(4×5)
−1)÷(0.10÷4))=7,829.43...answer

Hope it helps
3 0
2 years ago
Jack is 27 years older than Susan. In 5 years he will be 4 times as old as she is. Find the present ages of jack and Susan
riadik2000 [5.3K]
X - Jack's age
y - Susan's age

Jack is 27 years older than Susan.
x=y+27

In 5 years he will be 4 times as old as she is.
x+5=4(y+5)

The system of equations:
x=y+27 \\ x+5=4(y+5) \\ \\ \hbox{substitute y+27 for x in the 2nd equation:} \\ y+27+5=4(y+5) \\ y+32=4y+20 \\ y-4y=20-32 \\ -3y=-12 \\ y=\frac{-12}{-3} \\ y=4 \\ \\ x=y+27=4+27=31

Jack is 31 years old and Susan is 4 years old.
5 0
2 years ago
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