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Blababa [14]
3 years ago
15

A cone has a volume of 100 cubic inches and base area of 25 square inches. Malik is making a square prism that has three times t

he volume of the cone. The base of the prism has twice the area of the base of the cone. Select all that apply.
A The height of the cone is 12 inches

B The radius of the base of the cone is 5/π (pi) inches

C The side length of the base of the prism is 10 inches

D The height of the cone is twice the height of the prism

E The height of the cone is equal to the height of the prism

F The diameter of the base of the cone equals the side length of the base of the prism
Mathematics
1 answer:
BaLLatris [955]3 years ago
7 0

Answer: F The diameter of the base of the cone equals the side length of the base of the prism

Step-by-step explanation:

Given that the

volume = 100 cubic inches and base area = 25 square inches

The base area of a cone is the area of a circle

Area = π r^2

25 = 3.143 r^2

r ^2 = 25/3.143

r = sqrt (7.954)

r = 2.8

Volume = area × height

Height = volume/area

Height = 100/25 = 4 inches

Given that the prism has three times the volume of the cone.

Prism volume = 3 × 100 = 300

Cube root of 300 = 6.69 inches

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Sliva [168]

Answer:

A(tomatos)

Step-by-step explanation:

So to sovle these, we have to look at the percentage chart, and take the percentage of each thing.

  • tomato - 30%
  • cucumber - 15%
  • peas - 45%
  • onion - 10%

We know that divide these numbers by 100 gets us the amount we can multiply the total by, which gives us our answer.

So tomato is .3, cucumber is .15, peas are .45, and onion is .1.

Now, lets mutiply these nubmers by the 60 and see what we get:

.1*60

=

6

That seems correcdt for the onion

.45 * 60

=

27. That looks correct for peas.

.15 * 60

=

9 That looks correct for cucumber

.3*60

=

18. Thats not 20! So that must be the answer!

Hope this helps!

3 0
3 years ago
Please help with this word problem would be a huge help!!
Verdich [7]

Answer:

11.2 miles

Step-by-step explanation:

What has been describe here is a right triangle.

He went 10 miles east, and he turned left and went 5 miles.  He started at home ended at work.  We want to make a road from his home directly to his workplace (no turns; straight there).

So we have by Pythagorean Theorem:

5^2+10^2=c^2

25+100=c^2

125=c^2

Square root both sides:

\sqrt{125}=c

11.2 \approx c

11.2 miles would be the length of that direct path.

5 0
3 years ago
Y=2/5xt 10 the rate of change and y intercept
Nonamiya [84]

Answer:

Below

Step-by-step explanation:

Rate of change (aka the slope) = 2/5

Y Intercept = 10

3 0
3 years ago
Write an equation that could be used to solve for a value, x, that is equal to 8 times the sum of x and 111
Bingel [31]
X=8(x+111) this an equation
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Use a decimal number to describe the shaded amount<br><br> 5 out of 10
likoan [24]

Answer:

0.5 i believe

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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