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3 years ago

Please find the square root of 64.

Mathematics

1 answer:

Alexeev081 [22]3 years ago

7 0

You have r^2 = 64 and want to find the square root of 64, which we'll call r.

√(r^2) = r = plus or minus √64

or: r = plus or minus 8

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What is the answer

Igoryamba

Answer:

∠B = 60°

Step-by-step explanation:

They are supplementary angles, which means they add up to 180°.

∠B + ∠A = 180

? + 120 = 180

? = 180 - 120

? = 60°

8 0

2 years ago

1. In how many ways can a committee of eight people to be formed from a group of 6 male, 5 female and 4 students if there are no

NeX [460]

Answer:

The number of ways is 6435

Step-by-step explanation:

Given

$Male = 6$

$Female = 5$

$Students = 4$

Required

Number of ways a group of 8 can be formed

Here, I'll assume each category of people are distinct:

Hence;

$Total = Male + Female + Students$

$Total = 6 + 5 + 4$

$Total = 15$

Number of ways is then calculated as follows:

$^nC_r = \frac{n!}{(n - r)!r!}$

Where

$n = 15\ and\ r = 8$

So, we have:

$^{15}C_8 = \frac{15!}{(15 - 8)!8!}$

$^{15}C_8 = \frac{15!}{7! * 8!}$

$^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9 * 8!}{7!8!}$

$^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7!}$

$^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7 * 6 *5 * 4 * 3 * 2 * 1}$

$^{15}C_8 = \frac{32432400}{5040}$

$^{15}C_8 = 6435$

Hence, the number of ways is 6435

7 0

2 years ago

What is the simplest form of this expression 2(y-1)+8

snow_tiger [21]

Answer:

2y + 6

Step-by-step explanation:

2(y - 1) + 8

2y - 2 + 8

= 2y + 6

3 0

3 years ago

Two gym classes are participating in Field Day. One class has 24 students and the other has 27 students. The gym teachers want t

Masteriza [31]

Answer:

one class 25 and the other 26

Step-by-step explanation:

That's because if there is 24 students in each class then 3 students will be left in which the other class will take two and the other 1 student

3 0

2 years ago

Read 2 more answers

See the picture below

just olya [345]

Answer:

236.22 cubic centimeters

Step-by-step explanation:

We need to find volume of 3 tennis balls and subtract it from volume of the cylinder to get our answer.

Volume of sphere (tennis ball) = $\frac{4}{3}\pi r^3$

Note: Radius is half of diameter, which is r = 6.7/2 = 3.35

Volume of 3 tennis balls = $3*\frac{4}{3}\pi r^3\\=3*\frac{4}{3}\pi (3.35)^3\\=472.44$

Volume of Cylinder = $\pi r^2 h$

Note: radius is 3.35 and height is diameter of 3 tennis balls stacked on top of each other, so height is 6.7 * 3 = 20.1

Hence,

Volume of Cylinder = $\pi r^2 h\\=\pi (3.35)^2 (20.1)\\=708.66$

amount of space not taken up = 708.66 - 472.44 = 236.22 cubic centimeters

3 0

3 years ago