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2 years ago

The radius of a circle is doubled. How does the area change?

Mathematics

1 answer:

ra1l [238]2 years ago

8 0

Answer:

Area increases by a factor of 4

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr²

If the radius is doubled, that is r = 2r, then

A = π(2r)² = 4πr²

Hence the area has been increased by a factor of 4

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Sally Reynolds sells real estate along the coastal area of Northern California. Below are her total annual commissions between 2

tatiyna

Answer:

Mean = $229.32

Median = $231.15

Mode = $268.4

Step-by-step explanation:

Mean = the average.

The average is the sum of variables divided by the number of variables.

x = each variable

N = number of variables = 11

Average = (Σx)/N = (236.09 + 204.43 + 253.82 + 268.4 + 231.15 + 205.7 + 262.18 + 162.77 + 268.4 + 224.45 + 205.17)/11

Mean = 2522.56/11 = $229.32

b) Median is the value that falls at the middle of the data set if all the variables are arranged in ascending or descending order.

So, to find the Median, we first arrange the variables in ascending order.

162.77

204.43

205.17

205.70

224.45

231.15

236.09

253.82

262.18

268.4

Since there are 11 variables, the Median is the number that falls at the middle of the distribution, that is, at the sixth position.

Median = $231.15

c) Mode is the number that appears the most in a distribution.

In this distribution, only 268.4 appears more than once.

Hence, the more is $268.4

8 0

2 years ago

The states C and D spend a total of $54.6 million for tourism. The state C spends $2 million more than the state D. Find the a

Roman55 [17]

State C spent $28.3 million and State D spent $26.3 million.

Step-by-step explanation:

Total spent for tourism = $54.6 million

Let,

The amount spent by State C = x

The amount spent by State D = y

According to given statement;

x+y = 54.6 Eqn 1

x=y+2 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$(y+2)+y-54.6\\y+2+y=54.6\\2y=54.6-2\\2y=52.6\\$

Dividing both sides by 2

$\frac{2y}{2}=\frac{52.6}{2}\\y=26.3$

Putting y=26.3 in Eqn 2

$x=26.3+2\\x=28.3\\$

State C spent $28.3 million and State D spent $26.3 million.

Keywords: linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago

What is the least common multiple of the numbers 8 and 12?

faltersainse [42]

The least common multiple is 24

8*3 gets you 24
12*2 gets you 24 as well

Hope this helps

7 0

3 years ago

Read 2 more answers

Use the rules of exponents to evaluate or simplify. Write without negative exponents. 1/4^-1/2 = ___ a0

Nastasia [14]

For this case we have, by definition:

$a^{-b} =\frac{1}{a ^ b}$

So, we have:

$\frac{1}{4}^{-\frac{1}{2}}=\frac{1}{(\frac{1}{4})^{\frac{1}{2}}}$

On the other hand we have that by definition:

$a^{\frac{1}{2}}=\sqrt{a}$

Thus, the expression can be written as:

$\frac{1}{\sqrt {\frac{1}{4}}} =$

$\frac{1}{\frac{1}{\sqrt{4}}}$

$\frac{1}{\frac{1}{2}}$

$\frac{1*2}{1*1}=2$

So, we have:

$\frac{1}{4}^{-\frac{1}{2}}= 2$

Answer:

$\frac{1}{4}^{-\frac{1}{2}}= 2$

4 0

3 years ago

HELPPPPPPPPPPP

liubo4ka [24]

(A) Find the approximate length of the plank. Round to the nearest tenth of a foot.
Given that the distance of the ground is 3ft.
In order to get the length of the plank,
we can use the this one.

cos 49 = ground / plank
cos 49 = 3 / plank
plank = cos 49 / 3
plank = 0.10 ft

(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.

The remaining angle is equal to
angle = 180 - (90+49)
angle = 41

Finding the height.
tan 41 = height / ground
tan 41 = height / 3
height = tan 41 / 3
height = 0.05 ft.

(A) 0.10 feet
(B) 0.05 feet

3 0

3 years ago