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borishaifa [10]
3 years ago
12

If the radius of a circle is increased by x, by what amount is the circumference of the circle increased? A) x. B) 2x. C) 2piex

D) x squared.
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
4 0

Answer:

c) 2 pi x

Step-by-step explanation:

The circumference is based on the equations:

C = pi * d where d = diameter

We also know that the radius is half of the diameter as its the length of a line from the centre of the circle while the diameter is the length of two opposite points through the centre of the circle.

This tells us that d = 2r

So we can replace the equation for the circumference with:

C = pi * 2r

An increase of x to the radius would thus mean that the circumference is increased by 2(pi * x), as 2(pi * (r + x) could be used to find the new value of the circumference, which is the same as:

2(pi * r) +  2(pi * x)

So the answer is 2 pi x

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R 3. The mean of 4 numbers is 8. Three of the numbers add up to 22. What is the last number?​
statuscvo [17]
<h2><em><u>Solution</u></em> : </h2>

let the last number be x

we know,

\boxed{mean =  \frac{sum \:  \: of \:  \: all \:  \: observations}{number \:  \: of \:  \: observations} }

So,

\hookrightarrow \: 8 =  \dfrac{22 + x}{4}

\hookrightarrow \: 8 \times 4 = 22 + x

\hookrightarrow \: 32 = 22 + x

\hookrightarrow \: x = 32 - 22

\hookrightarrow \: x = 10

therefore, the last number is 10.

7 0
2 years ago
Solve the system of equations using substitution. Show your work. <br> y= 2x - 10<br> y= 4x - 8
Semenov [28]
Y=2x-10
Y=4x-8
U substitute it and it turns into 2x-10 =4x-8
U get x=-1
Y=4*(-1)-8
Y=-12
(x,y)= (-1,-12)
If u have a phone u can use photo math or if u don’t there’s a thing called mathpapa
4 0
3 years ago
Fill in the blank to make the fractions equivalent 2/3 = Blank/15
kotegsom [21]
Answer: 2/3 = 10/15
8 0
2 years ago
Which statement best explains the relationship between lines FG and HJ?
murzikaleks [220]

Answer:

(D)

Step-by-step explanation:

From the figure, we have

The coordinates of the point F are: (-4,1).

The coordinates of the point G are: (0,-2)

The coordinates of the point J are: (0,4) and

The coordinates of the point H are: (-4,-2).

Now, the slope of the line FG is :

S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

S=\frac{-2-1}{0+4}

S=\frac{-3}{4}

And, the slope of the line HJ is:

S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

S=\frac{-2-4}{-4-0}

S=\frac{3}{2}

Now, the slope of FG=\frac{1}{slope of HJ}

\frac{-3}{4}=\frac{2}{3}

which is not possible, thus They are not perpendicular because their slopes are not negative reciprocals.

6 0
3 years ago
Read 2 more answers
A strobe light is located at the center of a square dance room. the rotating light is 40 feet from each of the square walls and
Effectus [21]

The equation of the rotating light is an illustration of a secant function

The equation that represents the distance between the center of the circle and the light source is d(t) = 40\sec(\frac{\pi}{3}t)

<h3>How to determine the equation</h3>

The equation is a secant function represented by

y =A\sec(Bt)

Where:

A represents the amplitude

So, we have:

A = 40 --- the distance of the light from each square wall

B represents the period, and it is calculated as:

B = \frac{2\pi}{T}

The light completes its full rotation every 6 seconds.

This means that,

T = 6

So, we have:

B = \frac{2\pi}{6}

Simplify

B = \frac{\pi}{3}

Substitute values for A and B in y =A\sec(Bt)

y = 40\sec(\frac{\pi}{3}t)

Rewrite as a function

d(t) = 40\sec(\frac{\pi}{3}t)

Hence, the equation that represents the distance between the center of the circle and the light source is d(t) = 40\sec(\frac{\pi}{3}t)

Read more about trigonometry functions at:

brainly.com/question/1143565

5 0
2 years ago
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