All categories

3 years ago

Emily has a rectangular deck in her backyard with an area of 96 square feet. She wants to increase.

Mathematics

1 answer:

Dominik [7]3 years ago

4 0

Answer:

The area of the deck after she doubles the length and width will be of 384 square feet.

Step-by-step explanation:

Area of a rectangle:

The area of a rectangle of length l and width w is given by:

$A = lw$

Doubling length and width:

If we double the length and the width, the dimensions are 2l and 2w. Thus, the area will be of:

$A_d = 2l*2w = 4lw$

That is, if both dimensions are doubled, the area is multiplied by 4.

What will the area of the deck be after she doubles the length and width?

Was 96. Then, both dimensions were doubled, and the area has to be multiplied by 4.

96*4 = 384

The area of the deck after she doubles the length and width will be of 384 square feet.

You might be interested in

The container that holds the water for the football team is

tia_tia [17]

I believe the answer is 18 gallons.

6/9-4/9=2/9

Best Answer: Eighteen.... yes, I read it right. *sigh*

First convert 2/3 into ninths.

2/3 = 6/9

Therefore 2/9 is equal to 4 gallons...
Therefore 1/9 is equal to 2 gallons...
9 multiplied by 2 gallons is 18 gallons.

6 0

3 years ago

Read 2 more answers

A town has a population of 17000 and grows at 3% every year. To the nearest year, how long will it be until the population will

Mumz [18]

Answer:

The population will reach 20,400 after 6 years.

Step-by-step explanation:

Exponential function:

$y(t)=y_0(1+r)^t$

y(t)= Population after t years

$y_0$ = initial population

r= rate of grow

t= time.

A town has a population of 17,000 and grows at a rate 3% every year.

y(t)= 20,400, $y_0$ = 17,000, r=3%=0.03, t=?

$20,400=17,000(1+0.03)^t$

$\Rightarrow \frac{20,400}{17,000}=(1.03)^t$

$\Rightarrow \frac{102}{85}=(1.03)^t$

Taking ln function both sides

$\Rightarrow ln|\frac{102}{85}|=ln|(1.03)^t|$

$\Rightarrow ln|\frac{102}{85}|=t\ ln|(1.03)|$

$\Rightarrow t=\frac{ln|\frac{102}{85}|}{\ ln|(1.03)|}$

⇒ t = 6 year.

The population will reach 20,400 after 6 years.

6 0

4 years ago

Which is from least to greatest -9, -2, 0, 9 ... -10, -4, 1, -7 .... -5, -4, 2, 5 ..... -6, 0, 2, -5 ...

Rasek [7]

Answer:

-9, -2, 0, 9

Step-by-step explanation:

Negatives are always lesser than positives.

Good Luck <3

4 0

3 years ago

The population of the United States was about 280 million in 2000 and about 310 million in 2010 . What was the annual rate of ch

storchak [24]

<span>In order to solve this you would need to take the difference in population and then divide by the difference of the number of years that have passed. So first we figure that there is a 30 million difference in population over the course of 10 years. So you would take 30 and divide by 10. Your problem would then appear as this 30/10=3 ... ( I removed all unnecessary zeros from the equation to simplify it). The answer is an annual rate of 3 million people per year (after adding back all necessary zeros to get back to the proper population number in the millions).</span>

7 0

3 years ago

Hershel is designing a square pyramid that needs to have a lateral surface of 440 in². The area of the base is 121 in². Find the

Snowcat [4.5K]

Answer:

The length of the slant height of the square pyramid is 20 in.

Step-by-step explanation:

The lateral surface area of a regular pyramid is the sum of the areas of its lateral faces.

The general formula for the lateral surface area of a regular pyramid is

$A=\frac{1}{2}pl$

where $p$ represents the perimeter of the base and $l$ the slant height.

From the information given we know that:

The lateral surface area of a square pyramid is 440 in².
The area of the base is 121 in².

And we want to find the the slant height of the pyramid.

For this, we also need to know that the area of a square is given by $A=s^2$ , where <em>s</em> is the length of any side and the perimeter of a square is given by $p=4s$ .

Applying the formula for the area of a square we can find the length of the side

$121=s^2\\s^2=121\\s=\sqrt{121}=11$

The perimeter of the base is

$p=4\cdot(11)=44$

Next, we can apply the formula for the lateral surface area and solve for $l$ the slant height.

$440=\frac{1}{2}44l\\\\\frac{1}{2}\cdot \:44l=440\\\\22l=440\\\\l=20$

The length of the slant height of the square pyramid is 20 in.

4 0

4 years ago