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emmasim [6.3K]
2 years ago
5

If the cube above has a surface area of 54cm^3, what is the volume of the cube?

Mathematics
1 answer:
Colt1911 [192]2 years ago
3 0

9514 1404 393

Answer:

  27 cm³

Step-by-step explanation:

The surface area of a cube is ...

  SA = 6s²

Then the edge length is ...

  54 cm² = 6s² . . . . . please note that cm³ is not the appropriate unit for area

  9 cm² = s² . . . . . .divide by 6

  3 cm = s . . . . . . . take the square root

The volume of a cube is ...

  V = s³

  V = (3 cm)³ = 27 cm³

The volume of the cube is 27 cm³.

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A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S)=0.29. They have also deter
GuDViN [60]

<u>Answer:</u>

The correct answer option is P (S∩LC) = 0.16.

<u>Step-by-step explanation:</u>

It is known that the probability if someone is a smoker is P(S)=0.29 and the probability that someone has lung cancer, given that they are also smoker is P(LC|S)=0.552.

So using the above information, we are to find the probability hat a random person is a smoker and has lung cancer P(S∩LC).

P (LC|S) = P (S∩LC) / P (S)

Substituting the given values to get:

0.552 = P(S∩LC) / 0.29

P (S∩LC) = 0.552 × 0.29 = 0.16

5 0
3 years ago
Venus and Serena measured a tennis court and found that it was 42ft longer than it was wide and had a perimeter of 228ft. What w
mr_godi [17]

Answer:

length = 78 feet

width = 36 feet

Step-by-step explanation:

Using one variable and an expression, you can set up an equation equal to the perimeter to find the measure of each side:

width = 'w'

length = '42ft longer than it was wide' = w + 42

The general formula for the perimeter of a rectangle:

P = 2w + 2l

Plugging in the given values and variables:

228 = 2w + 2(w + 42)

Distribute: 228 = 2w + 2w + 84

Combine like terms:  144 = 4w

Divide and solve:  36 = w

w = 36 ft

l = 36 + 42 = 78 ft

8 0
3 years ago
Tina spent $6.75 on supplies at the store. She made $2.34 on Monday, and $4.65 on Tuesday. What was Tina's overall profit or los
tiny-mole [99]

Her profit was 0.24 cents. Hope this helps!


3 0
3 years ago
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Look at the diagram. If RS= 8y + 4, ST = 4y + 8, and RT = 36, find the value of y.
vladimir2022 [97]
<span>RS= 8y + 4, ST = 4y + 8, and RT = 36

RS + ST = RT
</span>8y + 4 + 4y + 8 = 36
12y + 12 = 36
12y = 24
    y = 2

answer
y = 2 (first choice)
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3 years ago
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Ms. Alders has $50 to buy prizes for the treasure box in her classroom. She bought 12 packages of stickers, 8 boxes of pencils,
IceJOKER [234]
The answer is $10

if you add up the total price for each of the items it totals to $40, she has $50 so $50-$40=$10

6 0
2 years ago
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