Ask question

Ask question

All categories

schepotkina [342]

3 years ago

11

In a circle, a central angle whose measure is pi/2 radians intercepts an arc whose length is 3pi/2 centimeters. How many centime

ters are in the radius of the circle?

1 answer:

ivann1987 [24]3 years ago

4 0

<span> $\frac{3\pi}{2}$ cm = quarter of circumference

$=\frac{2r\pi}{4} \\ \\=\frac{r\pi}{2} \\ \\ \Rightarrow r=3 \text{ cm}$ </span>

You might be interested in

Nathan has some pencils. 3/4 of his pencils are yellow pencils. 2/3 of those lead pencils do not have erasers. What fraction of

Salsk061 [2.6K]

Answer:

The fraction of Nathan's pencils that are yellow without erasers is 1/2.

Step-by-step explanation:

The problem gave us two informations, the first one is the fraction of the total amount of pencils that Nathan has that are yellow, the second one is the fraction of those yellow pencils that don't have erasers. So in order to find the fraction of the total pencils that are yellow pencils without erasers we need to multiply the two fractions that were given to us. So we have:

yellow pencils without erasers = (3/4)*(2/3) = 6/12 = 1/2

6 0

3 years ago

Which equation represents a line that passes through (2,-) and has a slope of 3?

Vlad1618 [11]

Answer:
y-3=3(x-2)
Step-by-step explanation:
y-y1=m(x-x1)
m=3
y-3=3(x-2)

3 0

3 years ago

Solve the division problem. Round answer to the nearest hundredth.<br> 52.063/9.2

Colt1911 [192]

Answer:

52.060 first one 2nd 9.2 i belive

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

How can you solve 3(x+2)=9 without distributing?

Afina-wow [57]

Answer:

see the explanation

Step-by-step explanation:

we have

$3(x+2)=9$

Divide by 3 both sides (division property of equality)

$\frac{3(x+2)}{3}=\frac{9}{3}$

Simplify

$x+2=3$

Subtract 2 both sides (subtraction property of equality)

$x+2-2=3-2$

$x=1$

3 0

3 years ago

3 (4x+6) =2 (6x+9) <br> cc

melamori03 [73]

Answer:

Infinite Amount of Solutions

Step-by-step explanation:

Step 1: Write equation

3(4x + 6) = 2(6x + 9)

Step 2: Solve for <em>x</em>

<u>Distribute:</u> 12x + 18 = 12x + 18

We see here that both sides of the equation are the same. Therefore, <em>x</em> is equal to infinite amount of solutions.

Another way to think about it is that the 2 lines are the same line. If both lines are the same, then they have infinite amount of solutions.

6 0

3 years ago