I need help with a question

Find the radius of a circle given that the area is three times its circumference

lbvjy [14]

Answer:

Radius of the circle = 6 units

Step-by-step explanation:

Let the radius of the circle be r

According to the given condition:

Area of the circle = 3 times the circumference of the circle

$\therefore \pi r^2 =3\times 2\pi r\\\therefore r^2 = \frac{3\times 2\pi r}{\pi}\\\therefore r^2 = 3\times 2r\\\therefore r = 6\: units\\$

5 0

3 years ago

How do you expand (x+2)^5

just olya [345]

Multiply
2
2
by
5
5
.
x
5
+
10
x
4
+
10
x
3
⋅
2
2
+
10
x
2
⋅
2
3
+
5
x
⋅
2
4
+
2
5
x
5
+
10
x
4
+
10
x
3
⋅
2
2
+
10
x
2
⋅
2
3
+
5
x
⋅
2
4
+
2
5
Raise
2
2
to the power of
2
2
.
x
5
+
10
x
4
+
10
x
3
⋅
4
+
10
x
2
⋅
2
3
+
5
x
⋅
2
4
+
2
5
x
5
+
10
x
4
+
10
x
3
⋅
4
+
10
x
2
⋅
2
3
+
5
x
⋅
2
4
+
2
5
Multiply
4
4
by
10
10
.
x
5
+
10
x
4
+
40
x
3
+
10
x
2
⋅
2
3
+
5
x
⋅
2
4
+
2
5
x
5
+
10
x
4
+
40
x
3
+
10
x
2
⋅
2
3
+
5
x
⋅
2
4
+
2
5
Raise
2
2
to the power of
3
3
.
x
5
+
10
x
4
+
40
x
3
+
10
x
2
⋅
8
+
5
x
⋅
2
4
+
2
5
x
5
+
10
x
4
+
40
x
3
+
10
x
2
⋅
8
+
5
x
⋅
2
4
+
2
5
Multiply
8
8
by
10
10
.
x
5
+
10
x
4
+
40
x
3
+
80
x
2
+
5
x
⋅
2
4
+
2
5
x
5
+
10
x
4
+
40
x
3
+
80
x
2
+
5
x
⋅
2
4
+
2
5
Raise
2
2
to the power of
4
4
.
x
5
+
10
x
4
+
40
x
3
+
80
x
2
+
5
x
⋅
16
+
2
5
x
5
+
10
x
4
+
40
x
3
+
80
x
2
+
5
x
⋅
16
+
2
5
Multiply
16
16
by
5
5
.
x
5
+
10
x
4
+
40
x
3
+
80
x
2
+
80
x
+
2
5
x
5
+
10
x
4
+
40
x
3
+
80
x
2
+
80
x
+
2
5
Raise
2
2
to the power of
5
5
.
x
5
+
10
x
4
+
40
x
3
+
80
x
2
+
80
x
+
32

4 0

3 years ago

The force F of attraction between two bodies varies jointly as the weights of the two bodies and inversely as the square of the

Maksim231197 [3]

Since we are to express the given conditions as a joint variation, we employ the use of k as our constant proportionality which we will denote in this item as k.
From the sentence,
F = kM₁M₂/d²
as we can see those in the denominator as those that vary inversely to the given parameter.

8 0

3 years ago

danielle wants to know how fast her rose garden will grow. Right now, her roses are 3 3/8 inches tall. If her roses grow 5/8 of

KATRIN_1 [288]

Answer: The answer is minimum 33 days.

Step-by-step explanation: Given that Daniel has a beautiful rose garden and she wants to know how fast her rose garden will grow. Also given that

Height of her roses at present is given by

$h_p=3\dfrac{3}{8}=\dfrac{27}{8}~\textup{inches}.$

And, height of the roses that increases each day is

$h_d=\dfrac{5}{8}~\textup{inches}.$

We need to find the number of days in which her roses will be a height of minimum 24 inches.

Let, 'x' be the number of days taken by the roses to be minimum 24 inches tall.

So, we have

$h_p+h_dx\geq 24\\\\\Rightarrow \dfrac{27}{8}+\dfrac{5}{8}x\geq 24\\\\\Rightarrow 27+5x\geq 192\\\\\Rightarrow 5x\geq 165\\\\\Rightarrow x\geq 33.$

Thus, the roses will take minimum of 33 gays attain a height of no less than 24 inches.

3 0

3 years ago

A softball player has had 8 base hits out of 25 at bats for a current batting average of 8/25 = .320. How many consecutive base

katrin2010 [14]

Using proportions, it is found that she needs 4 consecutive hits to raise her batting average to .400.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

Hence, the batting average is given by the <u>number of hits divided by the number of at-bats</u>.

If she gets x consecutive hits, she will have 8 + x hits in 25 + x at-bats, for an average of 0.400, hence:

$0.4 = \frac{8 + x}{25 + x}$

8 + x = 10 + 0.4x

0.6x = 2

x = 3.33

Rounding up, she needs 4 consecutive hits to raise her batting average to .400.

More can be learned about proportions at brainly.com/question/24372153

5 0

2 years ago