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3 years ago

Write one number that is a factor of 13

1 answer:

4 0

So, if we need to find 1 factor, let's just multiply 13 × 2.

13 x 2 = 26.

So, 26 is your answer.

Glad I could help, and good luck!

AnonymousGiantsFan

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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

Write down the integer values satisfied by this diagram.

Alinara [238K]

Step-by-step explanation:

well it represents

-1 < X ≥ 3

so answer is 0 1 2 3

7 0

2 years ago

Sheldon earned $245.00 on Monday He is paid $35.00 per hour Whe

fredd [130]

Answer: 3:45PM

Step-by-step explanation: 245 / 35 = 7. 7 hours after 8:45AM is 3:45PM.

8 0

3 years ago

Read 2 more answers

There are 20 guest at a party. The hody has 8 gallons of punch . He estimates that each guest will drink 2 cups of punch. If his

GuDViN [60]

Answer:

At the end of the party 5.5 gallons or 88 cups of punch will be leftover.

Step-by-step explanation:

Given:

There are 20 guest at a party.

Now, to find the quantity of punch that will be leftover.

Number of guests = 20.

Total gallons of punch = 8.

Now, using conversion factor we change gallons into cups:

1 gallon = 16 cup.

So, 8 gallons = 16 × 8 = 128 cups.

Thus, total cups of punch = 128.

Total number of cups each guest will drink = 2.

Now, to get total number of cups the 20 guests will drink by multiplying:

$20\times 2$

$=40\ cups.$

Total number of cups the 20 guests will drink = 40.

So, to get the leftover punch we subtract the total number of cups the 20 guests will drink from total cups of punch:

$128-40\\\\=88\ cups.$

So, 88 cups = $88\div 16=5.5\ gallons.$

Therefore, at the end of the party 5.5 gallons or 88 cups of punch will be leftover.

3 0

3 years ago

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Given vectors u = (-3, 2) and v = (2, 1), what is the measure of the angle between the vectors?21 points

Svetach [21]

Answer: C. 119.7°

Step-by-step explanation:

edge2020

8 0

3 years ago

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