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natta225 [31]
3 years ago
11

Deron is making light switch plate from pieces of wood. He starts with a board that is 6 yards long. How many light switch plate

s can he make?
Mathematics
1 answer:
Mazyrski [523]3 years ago
4 0
Is there more to this question
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Find the maximum volume of a cylindrical soda can such that the sum of its height and its circumference is 120 cm.
Klio2033 [76]
The volume of such a can with base radius r and height h would be

V(r,h)=\pi r^2h


We desire the base's circumference and the can's height to add to 120, i.e.

2\pi r+h=120\implies h=120-2\pi r

Substituting this into V(r,h) allows us to reduce the volume to a function of a single variable r:

V(r,120-2\pi r)=V(r)=\pi r^2(120-2\pi r)=120\pi r^2-2\pi^2r^3

Taking the derivative with respect to r yields

V'(r)=240\pi r-6\pi^2r^2

Set this equal to 0 and find any critical points:

240\pi r-6\pi^2r^2=0\implies 6\pi r(40-\pi r)=0\implies r=0\text{ or }r=\dfrac{40}\pi

This suggests the can will have maximum volume when its radius is \dfrac{40}\pi\approx12.7 cm, which would give a volume of about 20,371 sq. cm.
7 0
4 years ago
Can someone please explain the answer to 4 1/3+ 2 3/4+ 1/6
VladimirAG [237]
By creating a common denominator for all of the fraction (12) the answer would be 7 3/12 or 7 1/4
3 0
4 years ago
I WILL GIVE BRAINLIEST:)) Use the table to find the products of the two polynomials. Write your answer in descending order.
Elena-2011 [213]

Answer:

A) 4x^{4}-4x^{3}-16x^{2}+16x

B)4x^{4}-4x^{3}-16x^{2}+16x

Step-by-step explanation:

look at picture

3 0
3 years ago
Algebraic fractions, Please help me
Kisachek [45]

Answer:

Write it on your own

Step-by-step explanation:

:-) :-)

3 0
3 years ago
Read 2 more answers
Given -6a-5=-95 prove a=15
natima [27]

-6a - 5 = -95

Add 5 on both sides

-6a = -90

Divide -6 on both sides

a = 15

4 0
3 years ago
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