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MrMuchimi
3 years ago
14

A building in the shape of a pyramid was recently built. Each side of the pyramid’s square base has a length of 40 feet and the

pyramid’s height is 60 feet. What is the volume of the pyramid?
Mathematics
1 answer:
Alex3 years ago
3 0

Answer:32,000ft^3

Step-by-step explanation:

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A particular Spotify playlist contains 105 songs, of which 10 are by the Beatles. Suppose the shuffle feature is used to play th
katovenus [111]

Answer: The required probability is 0.3296.

Step-by-step explanation:

Since we have given that

Number of songs = 105

Number of songs are by the Beatles = 10

So, Number of songs are not by the Beatles = 105-10=95

So, the probability that the first Beatles song heard is the fifth song played is given by

\dfrac{^{95}C_4\times ^{10}C_1}{^{105}C_5}\\\\=0.3296

Hence, the required probability is 0.3296.

8 0
3 years ago
6 less than twice a number is at least 15. Write an inequality and solve.
Ivan

Answer:

2a-6>=15 this is because the key word at least means it can be 15 or higher but it cannot be less than 15.

Step-by-step explanation:

6 0
3 years ago
I need help what is 3.45 x (-2.8)<br> please show steps
guajiro [1.7K]

gShbtep-by-step explanajtiottdhjbgbfgtvjhjnjh:ttttt

3 0
2 years ago
PLEASE HELP WILL MARK BRAINLIEST THANK YOU
Alina [70]

Answer:

\huge\boxed{\sf 46}

Step-by-step explanation:

<u>Formula for area of rectangle:</u>

= length × width

<u>Area of the smaller rectangle:</u>

length = 7

width = 6

= 7 × 6

= 42

<u>Area of the larger rectangle:</u>

length = 7 + 4 = 11

width = 6 + 2 = 8

= 11 × 8

= 88

<u>Area of the shaded region:</u>

= Area of the larger rectangle - Area of the smaller rectangle

= 88 - 42

= 46

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>

5 0
3 years ago
What is the factored form of this expression?
kirill [66]

Answer:

= (3t+2)(3t-2)(3t-4)

Step-by-step explanation:

Given the expression 27t^3 - 36t^2 - 12t + 16

On factoring:

(27t^3 - 36t^2) - (12t + 16)

= 9t²(3t-4)-4(3t-4)

= (9t²-4)(3t-4)

factoring 9t²-4

9t²-4 = (3t)² - 2²

From different of two square, a²-b² = (a+b)(a-b)

Hence (3t)² - 2² = (3t+2)(3t-2)

= (9t²-4)(3t-4)

= (3t+2)(3t-2)(3t-4)

Hence the factored form of the expression is (3t+2)(3t-2)(3t-4)

6 0
3 years ago
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