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3 years ago

A circle has a diameter of 6 cm. What is its area?

2 answers:

8 0

Hey there, we are going to use two formula's, the first formula is A=πr², and the second formula is d=2r. Now, we can solve for a, A=1/4πd²=1/4*π*6²=28.27433cm², Therefore, the answer is 28.26 cm 2

irinina [24]3 years ago

8 0

Answer:

we are going to use two formula's, the first formula is A=πr², and the second formula is d=2r. Now, we can solve for a, A=1/4πd²=1/4*π*6²=28.27433cm², Therefore, the answer is 28.26 cm 2

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Write an equation for an exponential growth function where the initial population is 74 and the population quadruples during eac

Liono4ka [1.6K]

If the population quadruples every period say hour, that means the "rate of growth" is 300%, so whatever the current amount, increased by 3 times as much is 4 times the current amount, or a quadrupled amount.

$\bf \qquad \textit{Amount for Exponential Growth}\\\\
A=I(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &74\\
r=rate\to 300\%\to \frac{300}{100}\to &3.00\\
t=\textit{elapsed time}\\
\end{cases}
\\\\\\
A=74(1+3)^t\implies A=74(4)^t$

6 0

3 years ago

Determine the interquartile range for the data.<br> 16, 19, 25, 20,<br> 22, 21, 17, 20

Roman55 [17]

Answer:

the answer is 15 subtract the highest number from the lowest

5 0

3 years ago

the length of a rectangle is 5 less than twice the width.if the perimeter of the rectangle is 146,find the area of the rectangle

raketka [301]

Answer:

The area of the rectangle is 1222 units²

Step-by-step explanation:

The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width

The formula of the area of a rectangle is A = L × W

∵ The length of a rectangle is 5 less than twice the width

- Assume that the width of the rectangle is x units and multiply

x by 2 and subtract 5 from the product to find its length

∴ W = x

∴ L = 2x - 5

- Use the formula of the perimeter above to find its perimeter

∵ P = 2(2x - 5 + x)

∴ P = 2(3x - 5)

- Multiply the bracket by 2

∴ P = 6x - 10

∵ The perimeter of the rectangle is 146 units

∴ P = 146

- Equate the two expression of P

∴ 6x - 10 = 146

- Add 10 to both sides

∴ 6x = 156

- Divide both sides by 6

∴ x = 26

Substitute the value of x in W and L expressions

∴ W = 26 units

∴ L = 2(26) - 5 = 52 - 5

∴ L = 47 units

Now use the formula of the area to find the area of the rectangle

∵ A = 47 × 26

∴ A = 1222 units²

∴ The area of the rectangle is 1222 units²

7 0

3 years ago

Building A is 883 feet tall and contains 70 stories. Building B contains 104 stories. If the two buildings have the same number

Snowcat [4.5K]

Answer:

1311.88

Step-by-step explanation:

Feet:stories

883:70

x:104

To solve this we need to multiply 883 by 1.48 because this is what we multiplied 70 to get to 104

x=1311.88=1312

7 0

3 years ago

Find a linear inequality with the following solution set. Each grid line represents one unit. [asy] size(200); fill((-2,-5)--(5,

kykrilka [37]

The linear inequality of the graph is: -x + 2y + 1 > 0

<h3>How to determine the linear inequality?</h3>

First, we calculate the slope of the dashed line using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Two points on the graph are:

(1, 0) and (3, 1)

The slope (m) is:

$m = \frac{1 - 0}{3 - 1}$

This gives

m = 0.5

The equation of the line is calculated as:

$y = m(x -x_1) + y_1$

So, we have;

$y = 0.5(x -1) + 0$

This gives

$y = 0.5x -0.5$

Multiply through by 2

$2y = x - 1$

Now, we convert the equation to an inequality.

The line on the graph is a dashed line. This means that the inequality is either > or <.

Also, the upper region of the graph that is shaded means that the inequality is >.

So, the equation becomes

2y > x - 1

Rewrite as:

-x + 2y + 1 > 0

So, the linear inequality is: -x + 2y + 1 > 0

Learn more about linear inequality at:

brainly.com/question/19491153

#SPJ1

<u>Complete question</u>

Find a linear inequality with the following solution set. Each grid line represents one unit. (Give your answer in the form ax+by+c>0 or ax+by+c $\geq$ 0 where a, b, and c are integers with no common factor greater than 1.)

4 0

2 years ago