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klemol [59]
3 years ago
9

What is the height of a right triangle if its other two sides are 30 centimeters and 10 centimeters long?​

Mathematics
1 answer:
Mila [183]3 years ago
7 0

Answer:

Step-by-step explanation:

It depends on whether the 30 cm side is the hypotenuse, or one of the legs.

If the 30 cm side is the hypotenuse, then the third side is √(30^2-10^2) = √800 = 20√2 cm

If the 30 cm side is one of the legs, then the hypotenuse is √(30^2+10^2) = √1,000 = 10√10 cm

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Elaine bought 3 4/5 pounds of apples for $1.99 per pound, 3/4 pound of pears for $2.25 per pound, and 3 2/3 pounds bananas for $
stiv31 [10]

Answer:

1.$6.41

2.$1.68

3.$7.56

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
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
3 years ago
Select the correct answer.
Alla [95]

Answer:

Step-by-step explanation:

7 0
3 years ago
A bag of candy has a mass of 80 g. A chocolate bar has a mass of 110 g. What is the total mass of the bag of candy and the choco
atroni [7]

total mass = mass of a bag of candy + mass of a chocolate bar

total mass = 80g +110g = 190g

3 0
2 years ago
How much profit does the company make from producing and selling four soccer nets? $51 $80 $109 $137.
Oksanka [162]

The  profit does the company make from producing and selling four soccer nets is $109, the correct option is C.

<h3>What is profit?</h3>

Profit is a financial benefit that is realized when the amount of revenue gained from a business activity.

Given

|Soccer nets per day | Total Cost | Total Revenue |

| 1 | 7$ | $30 |

| 2 | 9$ | $60 |

| 3 | 10$ | $90 |

| 4 | 11$ | $120 |

| 5 | 13$ | $150 |

The total cost in the four soccer = $11

The total revenue in the four soccer = $120

The profit does the company make from producing and selling four soccer nets is;

\rm Profit = Total \ revenue -Total \ cost\\\\Profit= 120-11\\\\Profit = 109

Hence, the  profit does the company make from producing and selling four soccer nets is $109.

To know more about profit click the link given below.

brainly.com/question/6402318

4 0
2 years ago
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