Mathematics, 22.07.2019 23:00 s9227575

Asquare pyramid has a base edge of 2 inches and a slant height of 5 in. find it’s volume

Answers: 1

Show answers

Answers

Volume of the pyramid is V = (Bh)/3 where B is the base area of the pyramid and h is the height to the pyramid.

B = 2(2) = 4in²
To find h, we need to use the Pythagorean theorem. The height of the pyramid is actually an altitude that drops straight down from the vertex of the pyramid perpendicular to the Base hitting the Base in the center. Therefore, the distance from where the altitude hits the Base and the edge of the Base is equal to 1. We are given the slant height as 5 inches so we can now use the theorem to find the height of the pyramid.
h² + 1² = 5²
h² = 5² - 1²
h² = 25 - 1
h² = 24
$h = \sqrt{24}$
$h=2 \sqrt{6}$
Now we can find the Volume:
V= (Bh)/3
$V= \frac{[4(2 \sqrt{6} )]}{3}$
$V = \frac{8}{3} \sqrt{6}$
This is about 6.5 in³ of volume

Answer from: Quest

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

Answer from: Quest

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1 1

1 2

1 3

1 4

2 1

2 2

2 3

2 4 = not 1, and 4

3 1

3 2

3 3

3 4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 12:30

Element x decays radioactively with a half life of 8 minutes. if there are 450 grams of element x, how long, to the nearest tenth of a minute, would it take the element to decay to 37 grams?

Answers: 2

Answer

Mathematics, 21.06.2019 22:00

Select the correct answer from each drop-down menu. consider the following polynomials equations. 3x^2(x-1) and -3x^3+ 4x^2-2x+1 perform each operation and determine if the result is a polynomial. is the result of a + b a polynomial? yes or no is the result of a - b a polynomial? yes or no is the result of a · b a polynomial? yes or no

Answers: 1

Answer

Mathematics, 22.06.2019 00:00

Which of the following are arithmetic sequences? check all that apply. a. 0.3, 0.6, 0.9, 1.2, 1.5, b. 2, 3, 6, 11, 18, c. 150, 147, 144, 142, d. 2, 4, 9, 16, 25,

Answers: 1

Answer

Mathematics, 22.06.2019 01:00

Suppose m: angle a =77 degrees what is the measure of a complement of a complement of angle a, what is a conclusion you can draw about a complement of a complement of an angle

Answers: 1

Answer

You know the right answer?

Asquare pyramid has a base edge of 2 inches and a slant height of 5 in. find it’s volume...

Questions

Mathematics, 01.08.2019 21:30

How long would it take for a girl to run 7 miles?...