All categories

2 years ago

The absolute value of a number is its _____ from 0.

Mathematics

1 answer:

Lena [83]2 years ago

5 0

The absolute value of a number is its distance from 0.

You might be interested in

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

2 years ago

Read 2 more answers

How do you factor the common factor out of 30x^2-12x

Anika [276]

The answer would be 6x(5x-2).

Since both terms have x in them, x will be apart of your answer.

The GCF of 12 and 30 is 6.

So you can factor out 6x from both terms.

Hope this helps!

4 0

2 years ago

A train has 6 passenger cars and each car has 4 columns of seats and each column holds 50 passengers. If one of the cars has 25

Tema [17]

Given:
The train has 6 passenger cars
Each car has 4 columns
And 1 column hold 50 passengers

So, total of seats will be = 6 * 4 * 50 = 1200

Now, there are 25 empty seats,

therefore the correct equation will be :

Number of seats per car: 4 × 50 = 200

Total number of seats: 200 × 6 = 1,200

Number of passengers: 1,200 − 25 = p

6 0

2 years ago

The first two angles in a triangle are 90 degrees and 50 degrees. What does the third angle have to be?

s2008m [1.1K]

Answer:

B) 40 degrees

Step-by-step explanation:

90 + 50 = 140

Each triangle have 180 °

180 - 140 = 40

5 0

2 years ago

I missed this lesson someone pleaseeee help

Simora [160]

For the domain
3-x >= 0
3 >= x

7 0

2 years ago