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3 years ago

Find the circumference of the circle with the given radius or diameter. (Use 3.14 for it) r=20

Mathematics

2 answers:

Margarita [4]3 years ago

6 0

Answer:

$\huge\boxed{C\approx125.6}$

Step-by-step explanation:

The formula of a circumference of a circle:

$C=d\pi=2\pi r$

d - diameter

r - radius

We have the radius r = 20.

Substitute:

$C=2\pi(20)=40\pi$

use π ≈ 3.14

$C\approx(40)(3.14)=125.6$

iogann1982 [59]3 years ago

4 0

Answer:

C = 2πr = 2 * 3.14 * 20 = 125.6

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Find sec x if sin x = -7/25 and cot x = -24/7. Show work.

vredina [299]

Answer:

25/24

Step-by-step explanation:

sin x = O/H = -7/25

cot x = A/O = -24/7

sec x = H/A

if sin x = -7/25, the opposite side is 7, and the hypotenuse is 25

if cot x = -24/y, the adjacent side is 24 (and the opposite side is still 7)

since H = 25 and A = 24, sec x = 25/24

Also, you know it's positive because when sin x is negative, the angle is in quadrants 3 or 4, and when cot x is negative, the angle is in quandrants 2 or 4, so the only quadrant that satisfies both is 4. In quadrant 4, sec x is positive.

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3 years ago

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A cylinder has a height of 8.1 inches and circular base with a diameter of 2.7 inches. The cylinder contains 3 green spheres, ea

klasskru [66]

Answer:

A point is chosen at random inside the cylinder, then probability the point belongs outside of the spheres is 0.25

Step-by-step explanation:

Let's find volume of the cylinder and volume of the three spheres.

Volume of cylinder = $\pi r^{2} h$

Volume of sphere = $\frac{4}{3} \pi r^{3}$

Now, r =2.7

h=8.1

Find volume of each shape.

Volume of cylinder = $\pi (2.7)^{2} (8.1)$

=59.049 $\pi$

Now, volume of 3 spheres = $3*\frac{4}{3} *\pi *(2.7)^{3}$

=78.732 $\pi$

Now, p(E)= $\frac{Outcomes favorable to event E}{Total number of outcomes}$

So, Probability of point is chosen at random inside the cylinder which belongs outside of the spheres is

$\frac{78.732\pi -59.049\pi }{78.732\pi }$

Let's simplify them

0.25

A point is chosen at random inside the cylinder, then probability the point belongs outside of the spheres is 0.25

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3 years ago

Use a number line to solve 235+123

soldier1979 [14.2K]

The answer is 358
235+100=335
335+20=355
355+3=358

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Can someone give me the answer for number 10

mash [69]

You need to graph the equation shown. :)

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4 years ago

Solve for x can anyone help me ?

Zepler [3.9K]

Answer:

Step-by-step explanation:

-18x + 21 > -15

-18x > -36

x < 2

20x - 13》17

20x》40

x》2

Or is union

Union of x < 2 and x》2 is all real numbers

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3 years ago