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3 years ago

QUICK QUICK! 1 MINUTE ONLY PLEASE!

Mathematics

2 answers:

MA_775_DIABLO [31]3 years ago

8 0

Answer: d 1/2

Step-by-step explanation:

Gekata [30.6K]3 years ago

5 0

2 laps per minute

2 laps------60 s

1 laps -----x s

x=(1*60)/2

x=30 s

30s=1/2 min

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A cube has a side length of inch. It would take blocks with a side length of inch to fill the cube. It would take blocks with a

alekssr [168]

Complete question:

A cube has a side length of 1/3 inch.It would take _ blocks with a side length of 1/6 inch to fill the cube.

B)It would take _ blocks with a side length of 1/9 inch to fill the cube.

Answer:

a) 8 blocks

b) 27 blocks

Step-by-step explanation:

Here we need to find the volume of the cube and volume of the block.

To find volume of the cube, let's use the formula :

V = a³

Here a = $\frac{1}{3}$

Therefore,

V = $(\frac{1}{3})^3$

V = = $\frac{1}{27}$

Volume of the cube is $\frac{1}{27}$

To find volume of the block, let's use the formula:

V = a³

V = $(\frac{1}{6})^3$

V = $\frac{1}{216}$

To find the number of blocks, let's divide the volume of block from the volume of cube.

Therefore,

= $\frac{\frac{1}{27}}{\frac{1}{216}}$

$= \frac{1}{27} * 216$

= 8

It would take 8 blocks with a side length of 1/6 inch to fill the cube.

B) Here we also need to find the volume of the cube and volume of the block.

To find volume of the cube, let's use the formula :

V = a³

Here a = $\frac{1}{3}$

Therefore,

V = $(\frac{1}{3})^3$

V = = $\frac{1}{27}$

Volume of the cube is $\frac{1}{27}$

To find volume of the block, let's use the formula:

V = a³

V = $(\frac{1}{9})^3$

V = $\frac{1}{729}$

To find the number of blocks, let's divide the volume of block from the volume of cube.

Therefore,

= $\frac{\frac{1}{27}}{\frac{1}{729}}$

$= \frac{1}{27} * 729$

= 27

It would take 27 blocks with a side length of 1/9 inch to fill the cube.

3 0

3 years ago

What is the standard form of the equation of a circle that has its center at (-2, -3) and passes through the point (-2, 0)?

juin [17]

Answer:

(x - h)^2 + (y - k)^2 = 3^2

Step-by-step explanation:

The most general standard form here is

(x - h)^2 + (y - k)^2 = r^2. Since we know the center is at (-2, -3), we rewrite this equation as

(x + 2)^2 + (y + 3)^2 = r^2.

Note that the center (-2, -3) and the point (-2, 0) lie on the same vertical line, and that the vertical distance from the center to this point is 3. This is also the radius of the circle. Thus, the equation of this circle is:

(x - h)^2 + (y - k)^2 = 3^2

5 0

3 years ago

In how many ways can a member of a hiring committee select 3 of 12 job applicants for further consideration?

Andrew [12]

Answer: 220

Step-by-step explanation:

When we wanto to create a group of K elements for a set of N elements (where the order of the K elements does not matter, so we do not considerate the permutations of the K elements), the number of possible combinations is:

$C = \frac{N!}{(N - K)!*K!}$