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Elanso [62]
3 years ago
10

The height of a pyramid-shaped sculpture with a square base is one half the length of each side. The volume of the sculpture is

972 in^3. What is the height of the sculpture?
I need the answer asap!!
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
4 0

The volume of a pyramid is V = 1/3 x base length^2 x height

Let X = base length.

We are told the height is 1/2 the length, so height would be 1/2x

Now we have:

972 = 1/3 * x^2 * 1/2x

Simplifying we get:

972 = 1/6x^3

Multiply both sides by 6:

5832 = x^3

Take the cube root of both sides:

x = 18

The length of the base is 18 inches.

The height is 1/2 that, so the height would be 18/2 = 9 inches.

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What is the probability of tossing two coins in Irvington bus land on heads?
d1i1m1o1n [39]
  • Sample space = {TT, HH, TH, HT} where T is tail and H is head.
  • Number of outcomes = 4
  • The probability of getting two heads on tossing two coins
  • =  (\frac{1}{4}  \times 100)\% \\  = 25\%

<u>Answer</u><u>:</u>

<u>D)</u><u> </u><u>2</u><u>5</u><u>%</u>

Hope you could understand.

If you have any query, feel free to ask.

6 0
2 years ago
3. In what bases would 4025 be a legitimate numeral?
xxMikexx [17]

Base six and greater would make 4025 a legitimate numeral.

Legitimate number in which bases a number is legitimate by comparing the largest digit with the base number. If the largest digit is less than the base number, it is a legitimate number.

We have number 4025 .So, here largest digit is 5.

As 4025 to be the Legitimate numeral ,the base number should be greater than the largest digit of the numeral. So the base number should be greater than 5 .

Therefore, any base of 6 or higher would make 4025 a legitimate numeral.

Learn more:brainly.com/question/10868065

4 0
2 years ago
What is the surface area of the regular pyramid below
Alenkinab [10]

S=14\times14+4(\frac{14}{2}\times18) \\S=196+4(7\times18) \\S=196+4\times126 \\S=196+504 \\S=\boxed{700}

5 0
3 years ago
Read 2 more answers
What is the volume of a rectangular prism thatis 3cm by 6 cm by 5 cm?
Grace [21]

Answer:

90

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
You just finished paying your car off and you noticed that you paid a total of $6,900 in
motikmotik

Answer: $23000

Step-by-step explanation:

The formula for interest will be:

Interest = Principal × Rate × Time

We'll then slot in the values given and this will be:

6900 = Principal × 5% × 6

6900 = Principal × 0.05 × 6

6900 = Principal × 0.3

Principal = 6900/0.3

Principal = 23000

The amount borrowed is $23000

4 0
3 years ago
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