All categories

2 years ago

Calculate the volume of the triangular pyramid below.

Mathematics

1 answer:

eduard2 years ago

8 0

Answer:

Step-by-step explanation:

1/2x10x3.6=18

18x5=90

You might be interested in

A box contains 6 red, 3 white, 2 green, and 1 black (total 12) identical balls. What is the least number of balls nevessary to t

anzhelika [568]

Answer:

7 balls

Step-by-step explanation:

Look for the worst case scenario:

Get 3 white, 2 green, and 1 black.

That adds up to: 3 + 2 + 1 = 6.

+1 red ball: 6 + 1 =7

7 balls

5 0

1 year ago

Advantage of this app?

Morgarella [4.7K]

You get an answer to your question really quick,
...like now!

3 0

3 years ago

Read 2 more answers

Eleanor was curious if triangles DEF and GHI were similar, so he tried to map one figure onto the other using rigid transformati

Fiesta28 [93]

Answer:B

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The width of a container is 5 feet less than its height. Its length is 1 foot longer than its height. The volume of the containe

juin [17]

The height of container is 8 feet

Solution:

Let "w" be the width of container

Let "l" be the length of container

Let "h" be the height of container

The width of a container is 5 feet less than its height

Therefore,

width = height - 5

w = h - 5 ------ eqn 1

Its length is 1 foot longer than its height

length = 1 + height

l = 1 + h ---------- eqn 2

The volume of container is given as:

$v = length \times width \times height$

Given that volume of the container is 216 cubic feet

$216 = l \times w \times h$

Substitute eqn 1 and eqn 2 in above formula

$216 = (1 + h) \times (h-5) \times h\\\\216 = (h+h^2)(h-5)\\\\216 = h^2-5h+h^3-5h^2\\\\216 = h^3-4h^2-5h\\\\h^3-4h^2-5h-216 = 0$

Solve by factoring

$(h-8)(h^2+4h+27) = 0$

Use the zero factor principle

If ab = 0 then a = 0 or b = 0 ( or both a = 0 and b = 0)

Therefore,

$h - 8 = 0\\\\h = 8$

Also,

$h^2+4h+27 = 0$

Solve by quadratic equation formula

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$\mathrm{For\:} a=1,\:b=4,\:c=27:\quad h=\frac{-4\pm \sqrt{4^2-4\cdot \:1\cdot \:27}}{2\cdot \:1}$

$h = \frac{-4+\sqrt{4^2-4\cdot \:1\cdot \:27}}{2}=\frac{-4+\sqrt{92}i}{2}$

Therefore, on solving we get,

$h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i$

Thus solutions of "h" are:

h = 8

$h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i$

"h" cannot be a imaginary value

Thus the solution is h = 8

Thus the height of container is 8 feet

8 0

3 years ago

HELP! Find the value of the 30th percentile of the following set of data. 129, 113, 200, 100, 105, 132, 100, 176, 146, 152

BlackZzzverrR [31]

Let list the data in ascending order 100, 100, 105, 113, 129, 132, 146, 152, 176, 200

There are ten numbers so the thirtieth percentile would be the .3 * 10

= 3rd number, ordered from smallest to largest.

so the third number, the thirtieth percentile, is 105

7 0

3 years ago