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SVETLANKA909090 [29]
3 years ago
10

Find the length of segment BC.

Mathematics
1 answer:
arsen [322]3 years ago
7 0

The answer is to the question will be answer choice 3. Which in shorter terms is C)

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A designer is making a rectangular prism box with maximum volume, with the sum of its length, width, and height 8 in. The length
Sever21 [200]

Answer:

width = 1.8 in

length =   3.6 in

height =8-3w =8-3(1.8)= 2.6 in

Step-by-step explanation:

A designer is making a rectangular prism box with maximum volume, with the sum of its length, width, and height 8 in

Let l , w and h are the length , width and height

l +w+h=8\\l=2w

Plug it in the first equation

2w+w+h=8\\3w+h=8\\h=8-3w

volume the box is length times width times height

volume = (2w)(w)(8-3w)\\16w^2-6w^3

To get maximum volume we take derivatived

v'=32w-18w^2

set the derivative =0 and solve for w

0=32w-18w^2\\0=-2w(9w-16)\\w=0 , w= \frac{16}{9}

width = 1.8 in

length = 2w= 3.6 in

height =8-3w =8-3(1.8)= 2.6 in

6 0
4 years ago
The volume of a cone is 180 in3. find a function that models the height h of the cone in terms of its radius r.
12345 [234]

volume of a cone = (1/3)*pi*r^2*h
180 = pi(r^2)h
180/pi(r*2) = h

5 0
3 years ago
Of(x) = (x + 3)(x + 7)
Musya8 [376]

Answer:b

Step-by-step explanation:

4 0
4 years ago
Gabriel is at the grocery store, and wants to figure out his total cost before he gets to the register. He bought 2.5 pounds of
Readme [11.4K]

Answer:

32 - 2.5x - 2y

Step-by-step explanation:

He bought 2.5 pounds weight of apples for x dollars a pound. Thus, cost is 2.5x.

He bought 2 bags of lettuce for y dollars each. Thus, cost is 2y

Total bill cost = 2.5x + 2y

We are told he has a coupon for $2 off his bill.

This means the amount he will pay will now be;

2.5x + 2y - 2

Gabriel has $30 to pay for the groceries.

Thus, his change will be;

30 - (2.5x + 2y - 2)

This gives;

32 - 2.5x - 2y

6 0
3 years ago
Read 2 more answers
17. It takes one minute to fill (3/7) th of a vessel. What is the time taken in
Vinil7 [7]

Answer:

Given that 1minute =3/7of the vessel

let the time taken in minutes to fill the whole of the vessel be' x' minute.

1min =3/7

xmin =whole vessel =1=7/7

=3x/7=1=x=7/3=2.3min=2min.3sec

8 0
3 years ago
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