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2 years ago

3(m - 4)² - 13 - (m² - 4)

Mathematics

1 answer:

Ipatiy [6.2K]2 years ago

8 0

The simplified expression would be 2m^2 - 24m + 39

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What is the volume of the regular pyramid below?

erastovalidia [21]

Answer:
volume of regular pyramid = 3388 units³

Explanation:
Volume of regular pyramid can be calculated using the following rule:
volume of regular pyramid = $\frac{1}{3}$ * area of base * height
volume of regular pyramid = $\frac{1}{3}$ * length * width * height

Based on the comment you added above, we have:
length = 11 units
width = 11 units
height = 84 units

Substitute with the givens in the above equation to get the volume as follows:
volume = $\frac{1}{3}$ * 11 * 11 * 84
volume = 3388 units³

Hope this helps :)

6 0

3 years ago

Stumped on how to solve this one! The numbers just aren't making sense to me

raketka [301]

30 = 3/5

so 1/5 = 10 miles

there are 20/5 in 4 inches

10*20 = 200

they are 200 miles apart

4 0

3 years ago

Let v1=(2,-6) and v2=(-4,7)

seropon [69]

The magnitude of each vector is the Pythagorean sum of its components.

a. |v1| = √(2² + (-6)²) = √40 = 2√10

|v2| = √((-4)² + 7²) = √65

b. To make each vector into a unit vector, divide each component by the vector's magnitude.

u1 = v1/|v1| = (2/(2√10), -6/(2√10))

u1 = (√10/10, -3√10/10)

u2 = v2/|v2| = (-4/√65, 7/√65)

u2 = (-4√65/65, 7√65/65)

8 0

3 years ago

A flagpole broke in a storm. It was originally 81 8181 feet tall. 28 2828 feet are still sticking straight out of the ground, wh

solong [7]

Answer:

The end of the flagpole is 50.79 ft away from the base of the pole.

Step-by-step explanation:

The problem is represented by the diagram below.

The broken flagpole forms the shape of a right angled triangle. We need to find one of the sides of the triangle, the adjacent (x).

The hypotenuse is the broken part of the flagpole (53 ft), while the opposite is the part of the flagpole that is still stuck to the ground (28 ft).

Using Pythagoras theorem, we have that:

$hyp^2 = adj^2 + opp^2$

=> $53^2 = x^2 + 28^2$

$3364 = x^2 + 784\\\\=> x^2 = 3364 - 784\\\\x^2 = 2580\\\\x = \sqrt{2580}\\ \\x = 50.79 ft$

The end of the flagpole is 50.79 ft away from the base of the pole.

7 0

3 years ago

Yesterday, 20 employees in an office were absent. If these absentees constitute

Oduvanchick [21]

The total number of employees are 80. I know that because 25 is quarter of 100 and if 20 employees are 25%, all I need to do is 20*4 which is 80. Hope this helped!

3 0

3 years ago