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Anika [276]
4 years ago
9

Thanks for the help in advance!

Mathematics
1 answer:
IgorC [24]4 years ago
5 0
I hope this helps you

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What is the area of triangle ABC?
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Step-by-step explanation:

1/2 b×h that's the area

The answer is 7 square units

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Carolyn has cut a piece of ribbon 29 centimeters long from a roll. Which
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A. meter stick

Step-by-step explanation:

The other answers do not make sense.

B is used to measure liquids.

C is used to measure weight/mass

D is used to measure the ingredients needed for a recipe, usually cooking.

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William has a 26-liter glass tank. First, he wants to put some marbles in it, all of the same volume. Then, he wants to fill the
VMariaS [17]

You might think that the volume of a circle is needed to solve this problem but you can do it in a more simplified manner. First figure out how much water 85 marbles displace.

26-20.9=5.1 liters of water

Now, let us see how much water 200 marbles displace.

85 marble x (200/85) = 5.1 liters x (200/85)

200 marbles = 12 liters

We can find the amount of water needed to fill the tank now.

26-12=14 liters of water

answer: 14 liters of water

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4 years ago
What is the equation of the line that passes through the points (4/5, 1/5) and (1/2, 3/2)?
zavuch27 [327]

Answer:

y=-13/3x+11/3

Step-by-step explanation:

(1.5-0.2)/(0.5-0.8)=1.3/-0.3=-13/3

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3 years ago
A rectangular solid with a square base has a volume of 5832 cubic inches. (Let x represent the length of the sides of the square
Aleks04 [339]

Answer:

a) 18 in x 18 in x 18 in

b) S = 1944\ in2

Step-by-step explanation:

a) Let's call 's' the side of the square base and 'h' the height of the solid.

The surface area is given by the equation:

S = 2s^2 + 4sh

The volume of the solid is given by the equation:

V = s^2h = 5832

From the volume equation, we have that:

h = 5832/s^2

Then, using this value of h in the surface area equation, we have:

S = 2s^2 + 4s(5832/s^2)

S = 2s^2 + 23328/s

To find the side length that gives the minimum surface area, we can find where the derivative of S in relation to s is zero:

dS/ds = 4s - 23328/s^2 = 0

4s = 23328/s^2

4s^3 = 23328

s^3 = 23328/4 = 5832

s = 18\ inches

The height of the solid is:

h = 5832/(18)^2 = 18\ inches

b) The minimum surface area is:

S = 2(18)^2 + 4(18)(18)

S = 1944\ in2

8 0
3 years ago
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