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grigory [225]
3 years ago
5

First is brainliest please anwer Asap

Mathematics
1 answer:
vodomira [7]3 years ago
4 0

Answer:

21 and 10 :) hope it helps

Step-by-step explanation:

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You are having notices professionally printed. Design cost are $19.00. The first hundred notices cost $5.50 and additional notic
victus00 [196]
$50 - $19 = $31
$31 - $5.50 = $25.50
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A diver needs to descend to a depth of 100 feet below sea level. She wants to do it in 5 equal descents. How far should she trav
nikklg [1K]

Answer:

She needs to descend 20 feet per descent.

Step-by-step explanation:

100/5 = 20

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Angles 2 and angle 7 are ??? angles​
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D alternate exterior angle

Step-by-step explanation:

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A container in the shape of a square-based prism has a volume of 2744 cm'. What dimensions give the
Vinvika [58]

Answer:

The dimensions that give the minimum surface area are:

Length = 14cm

width = 14cm

height = 14cm

And the minimum surface is:

S = 1,176 cm^2

Step-by-step explanation:

A regular rectangular prism has the measures: length L, width W and height H.

The volume of this prism is:

V = L*W*H

The surface of this prism is:

S = 2*(L*W + H*L + H*W)

If the base of the prism is a square, then we have L = W

Then the equations become:

V = L*L*H = L^2*H

S = 2*(L^2 + 2*H*L)

We know that the volume of the figure is 2744 cm^3

Then:

V = 2744 cm^3 = H*(L^2)

In this equation, we can isolate H.

H = (2744 cm^3)/(L^2)

Now we can replace this on the surface equation:

S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))

S = 2*L^2 + 4(2744 cm^3)/L

Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.

S' = 2*(2*L) - 4*(2744 cm^3)/L^2

This is equal to zero when:

0 = 2*(2*L) - 4*(2744 cm^3)/L^2

0 = 4*L*L^2 - 4*(2744 cm^3)

4*(2744 cm^3) = 4*L^3

2744 cm^3 = L^3

∛(2744 cm^3) = L = 14cm

Then the length of the base that minimizes the surface is L = 14.

Then we have:

H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm

Then the surface is:

S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2

8 0
2 years ago
A cocktail nut mix should have the following minimum requirements in a can of 1 pound being sold at $3.99 a can at retail stores
Misha Larkins [42]

Answer:

Nut

Step-by-step explanation:

6 0
2 years ago
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