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2 years ago

There are 10 players on the swim team. How many ways can the coach select 3 people to swim in the relay?

Mathematics

1 answer:

Kruka [31]2 years ago

5 0

Answer:

C. 720

Step-by-step explanation:

10 - 3 is 8 so you multiply all the numbers from 10 through 8

10 * 9 * 8 = 720

That is the answer. Hope it helped!

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What is the approximate circumference of the circle shown below?

Crank

Answer

Formula

$Circumference\ of\ circle = 2\pi r$

where r is the radius of a circle.

As shown in the image

Diameter of the circle = 16 .3 cm

$Radius\ of\ the\ circle = \frac{16.3}{2}$

= 8.15 cm

Put in the formula

$Circumference\ of\ circle = 2\pi\times 8.15$

$\pi = 3.14$

$Circumference\ of\ circle = 2\times 3.14\times 8.15$

= 51.2 cm (approx)

Therefore the circumference of a circle is 51.2cm (approx) .

Option (D) is correct .

8 0

3 years ago

Read 2 more answers

James was trying to sleep one night but there was too much noise around him. His clock ticked every

g100num [7]

Answer:

It will occur zero times between midnight and one o'clock.

Step-by-step explanation:

Least Common Multiple (LCM)

Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.

All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.

List the prime factors of each number:

20: 2,2,5

15: 3,5

27: 3,3,3

Now multiply all the factors the maximum number of times they appear:

LCM=2*2*3*3*3*5=540

(a) All the events will happen together again after 540 minutes.

(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.

4 0

3 years ago

That’s a little hint up above. Any help is deeply appreciated. I only have a limited time right now. So please try your best to

dolphi86 [110]

We need to know more information

7 0

4 years ago

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Ilya [14]

Answer:

πr²= 12.56

r²=12.56/3.14 = 4

r= 2

therefore , diameter = 2r = 2×2= 4 mm

5 0

3 years ago

Read 2 more answers

Find all roots: x^3 + 7x^2 + 12x = 0 Show all work and check your answer.

Aliun [14]

The three roots of x^3 + 7x^2 + 12x = 0 is 0,-3 and -4

Solution:

We have been given a cubic polynomial.

$x^{3}+7 x^{2}+12 x=0$

We need to find the three roots of the given polynomial.

Since it is a cubic polynomial, we can start by taking ‘x’ common from the equation.

This gives us:

$x^{3}+7 x^{2}+12 x=0$

$x\left(x^{2}+7 x+12\right)=0$ ----- eqn 1

So, from the above eq1 we can find the first root of the polynomial, which will be:

x = 0

Now, we need to find the remaining two roots which are taken from the remaining part of the equation which is:

$x^{2}+7 x+12=0$

we have to use the quadratic equation to solve this polynomial. The quadratic formula is:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now, a = 1, b = 7 and c = 12

By substituting the values of a,b and c in the quadratic equation we get;

$\begin{array}{l}{x=\frac{-7 \pm \sqrt{7^{2}-4 \times 1 \times 12}}{2 \times 1}} \\\\{x=\frac{-7 \pm \sqrt{1}}{2}}\end{array}$

Therefore, the two roots are:

$\begin{array}{l}{x=\frac{-7+\sqrt{1}}{2}=\frac{-7+1}{2}=\frac{-6}{2}} \\\\ {x=-3}\end{array}$

And,

$\begin{array}{c}{x=\frac{-7-\sqrt{1}}{2}} \\\\ {x=-4}\end{array}$

Hence, the three roots of the given cubic polynomial is 0, -3 and -4

4 0

3 years ago