All categories

3 years ago

Factor the expression completely 18x2 - 32

Mathematics

1 answer:

Colt1911 [192]3 years ago

4 0

Answer:

Step-by-step explanation:

18x2=36

36-32=4

You might be interested in

While eating ants, a giant anteater flicks its tongue 150 times per minute. At

lisabon 2012 [21]

Answer:

In six minutes, the giant anteater would have flicked its tongue 900 times.

Step-by-step explanation:

Knowing the rate at which the anteater flicks its tongue per minute, you just have to multiply the rate by six.

150×6=900

7 0

3 years ago

Read 2 more answers

Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height,

omeli [17]

Answer:

The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

<u>Pyramid A</u>

$s = 4$ -- base sides

$V = 36$ -- Volume

<u>Pyramid B</u>

$s = 6$ --- base sides

Required

Determine the volume of pyramid B <em>[Missing from the question]</em>

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

$V = \frac{1}{3} * B * h$

Where B represents the area of the base equilateral triangle, and it is calculated as:

$B = \frac{1}{2} * s^2 * sin(60)$

Where s represents the side lengths

First, we calculate the height of pyramid A

For Pyramid A, the base area is:

$B = \frac{1}{2} * s^2 * sin(60)$

$B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}$

$B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}$

$B = 4\sqrt 3$

The height is calculated from:

$V = \frac{1}{3} * B * h$

This gives:

$36 = \frac{1}{3} * 4\sqrt 3 * h$

Make h the subject

$h = \frac{3 * 36}{4\sqrt 3}$

$h = \frac{3 * 9}{\sqrt 3}$

$h = \frac{27}{\sqrt 3}$

To calculate the volume of pyramid B, we make use of:

$V = \frac{1}{3} * B * h$

Since the heights of both pyramids are the same, we can make use of:

$h = \frac{27}{\sqrt 3}$

The base area B, is then calculated as:

$B = \frac{1}{2} * s^2 * sin(60)$

Where

$s = 6$

So:

$B = \frac{1}{2} * 6^2 * sin(60)$

$B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}$

$B = 9\sqrt 3$

So:

$V = \frac{1}{3} * B * h$

Where

$B = 9\sqrt 3$ and $h = \frac{27}{\sqrt 3}$

$V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}$

$V = \frac{1}{3} * 9 * 27$

$V = 81$

6 0

3 years ago

Read 2 more answers

An engineer deposits $2,000 per month for four years at a rate of 24% per year, compounded semi-annually. How much will he be ab

Alex17521 [72]

The amount of money he will be able to withdraw after 10 years after his last deposit is $926,400.

<h3>Compound interest</h3>

Principal, P = $2,000 × 12 × 4

= $96,000

Time, t = 10 years
Interest rate, r = 24% = 0.24
Number of periods, n = 2

A = P(1 + r/n)^nt

= $96,000( 1 + 0.24/2)^(2×10)

= 96,000 (1 + 0.12)^20

= 96,000(1.12)^20

= 96,000(9.65)

= $926,400

Therefore, the amount of money he will be able to withdraw after 10 years after his last deposit is $926,400

Learn more about compound interest:

brainly.com/question/24924853

#SPJ4

5 0

2 years ago

Solve the rest for me plz

Luba_88 [7]

Lo haria si pudiera que pena contigo

5 0

3 years ago

Read 2 more answers

Which situation would be represented by the integer 12?

eduard

Alll are integers since they are defined exactly.

5 0

3 years ago

Read 2 more answers

Factor the expression completely 18x2 - 32​

Factor the expression completely 18x2 - 32