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3 years ago

The base of the pyramid is a square. what is the volume of the pyramid. enter your answer in the box.

Mathematics

1 answer:

Ugo [173]3 years ago

7 0

Answer:

The volume of the pyramid is $672\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the pyramid of the figure is equal to

$V=\frac{1}{3}b^{2}h$

we have

$b=12\ cm$

$h=14\ cm$ ----> the height must be perpendicular to the base

substitute

$V=\frac{1}{3}(12^{2})(14)=672\ cm^{3}$

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katovenus [111]

Answer: see below

Step-by-step explanation:

17) 5n - 3 > -2n + 4 and 9 - 4n ≥ -2n + 1

+2n +2n +2n +2n

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+3 +3 -9 -9

7n > 7 -2n ≥ -8

÷7 ÷7 ÷ -2 ↓ ÷ -2

n > 1 and n ≤ 4

Graph: o----------------- ·

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18) 9k - 2 ≤ 9 + 10k < 9 - 4k

9k - 2 ≤ 9 + 10k and 9 + 10k < 9 - 4k

-10k -10k +4k +4k

-k - 2 ≤ 9 9 + 14k < 9

+2 +2 -9 -9

-k ≤ 11 14k < 0

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k ≥ -11 and k < 0

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19) 4 - n ≤ 10 + 5n ≤ 6n + 1

4 - n ≤ 10 + 5n and 10 + 5n ≤ 6n + 1

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20) 4p - 5 ≤ 2p + 9 ≤ 4p + 7

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6 0

3 years ago

Given a circle with a radius of 22 inches, what is the circumference in terms of π?

Mars2501 [29]

Answer:

$circumference = 2\pi \: r \\ = 2 \times \pi \times 22 \\ = 44\pi \: inches$

5 0

3 years ago

Read 2 more answers

Application of Geometric Series

Gnoma [55]

Answer:

7.2224

Step-by-step explanation:

The value of the summation is given by the formula ...

Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.

Your sum has first term and ratio ...

a1 = 2(0.6) . . . . . summation term for n=1

r = 0.6

So the sum is ...

$\displaystyle \sum_{n=1}^4{2(0.6^n)}=2(0.6)\dfrac{1-0.6^4}{1-0.6}=\dfrac{1.2}{0.4}(0.8704) = 2.6112$

Then the value of the entire given expression is ...

$\displaystyle 2+2\sum_{n=1}^4{}2(0.6^n)=2+2(2.6112)=\boxed{7.2224}$

_____

A calculator can help you find the value.

6 0

2 years ago

The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week is 0.62.

sashaice [31]

Answer:

You can expect at least 9 of her postcards to arrive within a week

To find that, we multiply the number of postcards by the probability

15 x 0.62 = 9.3

Hope this helps

Good Luck

5 0

3 years ago

PLEASE HELP ASAP!!!!!!!!!!!!!!

lianna [129]

Answer:

$n^{25}$

Step-by-step explanation:

Hi!

So, a radical is basically a fractional power.

Square roots are numbers to the 1/2.

For example, the square root of 4 is just $4^\frac{1}{2}$ , or 2.

So for cube root, the 1/2 changes to a 1/3.

This can then be rewritten as $n^\frac{75}{3}$

or $n^{25}$

4 0

3 years ago