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3 years ago

A school has a total enrollment of 800 students. Twenty percent of the students play a sport. How many do not play a sport?

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

5 0

Answer:

160

Step-by-step explanation:

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The exchange rate of 2 USD to Euros is 1.8. How many Euros is $34 USD? Round to 1 decimal place.

tensa zangetsu [6.8K]

Answer:

30.6 euros

Step-by-step explanation:

Set up a proportion: 2/1.8=34/x

2x=61.2

x=30.6

Therefore, 30.6 euros

I hope this helped and have a good rest of your day!

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2 years ago

Consider the function y = cos (x + pi/6). Which of the following is true?

max2010maxim [7]

The answer would be A. There is a phase shift to the left. Because you are adding pi/6.

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2 years ago

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Charlotte is running at a race of 9 km/h.<br><br> What is Charlotte’s speed in m/s?

Novay_Z [31]

Answer:

9,000

Step-by-step explanation:

1 km=1,000

9*1,000=9,000

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3 years ago

Identify the reference angle

ser-zykov [4K]

Answer:

Below in bold.

Step-by-step explanation:

300 degrees - reference angle is |360 - 300 |= 60 degrees

225 = 225 - 180 = 45 degrees

480 = 480 - 360 = 120 so it is 180 - 120 = 60 degrees.

-210 = |-210 + 180| = 30 degrees.

7 0

2 years ago

You have a wire that is 20 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The o

Aleksandr [31]

Answer:

Therefore the circumference of the circle is $=\frac{20\pi}{4+\pi}$

Step-by-step explanation:

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

$\Rightarrow s=\frac{10-\pi r}{2}$

The area of the circle is = πr²

The area of the square is = s²

A represent the total area of the square and circle.

A=πr²+s²

Putting the value of s

$A=\pi r^2+ (\frac{10-\pi r}{2})^2$

$\Rightarrow A= \pi r^2+(\frac{10}{2})^2-2.\frac{10}{2}.\frac{\pi r}{2}+ (\frac{\pi r}{2})^2$

$\Rightarrow A=\pi r^2 +25-5 \pi r +\frac{\pi^2r^2}{4}$

$\Rightarrow A=\pi r^2\frac{4+\pi}{4} -5\pi r +25$

For maximum or minimum $\frac{dA}{dr}=0$

Differentiating with respect to r

$\frac{dA}{dr}= \frac{2\pi r(4+\pi)}{4} -5\pi$

Again differentiating with respect to r

$\frac{d^2A}{dr^2}=\frac{2\pi (4+\pi)}{4}$ > 0

For maximum or minimum

$\frac{dA}{dr}=0$

$\Rightarrow \frac{2\pi r(4+\pi)}{4} -5\pi=0$

$\Rightarrow r = \frac{10\pi }{\pi(4+\pi)}$

$\Rightarrow r=\frac{10}{4+\pi}$

$\frac{d^2A}{dr^2}|_{ r=\frac{10}{4+\pi}}=\frac{2\pi (4+\pi)}{4}>0$

Therefore at $r=\frac{10}{4+\pi}$ , A is minimum.

Therefore the circumference of the circle is

$=2 \pi \frac{10}{4+\pi}$

$=\frac{20\pi}{4+\pi}$

4 0

2 years ago

A school has a total enrollment of 800 students. Twenty percent of the students play a sport. How many do not play a sport?​

A school has a total enrollment of 800 students. Twenty percent of the students play a sport. How many do not play a sport?