We have been given that a circle of a certain radius has an area which is numerically 5 times the value of the circumference. We are asked to find the radius of the circle.

We know that area of circle with a radius of r units is $\pi r^2$ .

We know that circumference of a circle is $2\pi r$ .

5 times the value of circumference would be $5(2\pi r)=10\pi r$ .

Now we will equate 5 times circumference with area as:

$\pi r^2 = 10\pi r$

Let us solve for r.

$\pi r\cdot r = 10\pi r$

$\frac{\pi r\cdot r}{\pi r}=\frac{10\pi r}{\pi r}$

$r=10$

Therefore, the radius of the circle would be 10 units.

5 0

4 years ago

What number should you subtract from the numerator of the fraction 52367/47633 and add to the denominator so that, after reducin

nata0808 [166]

Let $x$ be the number that you should subtract from the numerator of the fraction 52367/47633 and add to the denominator so that, after reducing, you get 17/38.
 $\frac{52367-x}{47633+x} = \frac{17}{38}$
$38(52367-x)=17(47633+x)$
$1989946-38x=809761+17x$
$1180185=55x$
$x= \frac{1180185}{55}$
$x= \frac{236037}{11}$

We can conclude that the number you should subtract from the numerator of the fraction 52367/47633 and add to the denominator so that, after reducing, you get 17/38 is: $\frac{236037}{11}$

4 0

3 years ago

Writing linear functions Use the graph or table to write a linear function that relates y to x

larisa86 [58]

Step-by-step explanation:

3. Slope is postive

x1=6

x2=3

y1=10

y2=6

m=6-10/3-6

m=4/3

y=mx+b find b

10=4/3*3+b

10=4+b

b=6

y=4/3x+b

4.slope is zero

y=b

Y=3

8 0

2 years ago

Esmeralda likes to listen to music while she works out. She had a playlist on her mp3 player that lasted 40 minutes,but she acci

ikadub [295]

Answer:

Esmeralda has enough music left in her playlist for a 30 minute workout

Step-by-step explanation:

we know that

If Esmeralda accidentally deleted 25% of the music, then the percentage of music left in her playlist equals 100%-25%=75%.

$75\%=75/100=0.75$

Find out how many minutes represent 75% of 40 minutes

Multiply 40 by 0.75

$40(0.75)=30\ minutes$

therefore

Esmeralda has enough music left in her playlist for a 30 minute workout

3 0

3 years ago