3 years ago

If the side of a square is doubled in length, what is the percentage increase in area

Mathematics

1 answer:

ycow [4]3 years ago

8 0

Doubling the side length multiplies the area by 4

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PLEASE HELP

miss Akunina [59]

In the smallest of the three triangles (with sides $a,b,3$ ) we have

$a^2+3^2=b^2$

In the second-largest triangle (with sides $a,108$ ), the length of the missing side is $\sqrt{a^2+108^2}$ . Then in the largest triangle (with sides $b,111,\sqrt{a^2+108^2}$ ), we have

$b^2+\left(\sqrt{a^2+108^2}\right)^2=(108+3)^2=111^2$

$\implies b^2+a^2+108^2=111^2$

$\implies b^2+a^2=657$

Equivalently, we have

$(a^2+9)+a^2=657\implies 2a^2=648\implies a^2=324\implies a=18$

In turn, we find

$b^2=18^2+3^2=298\implies b=\sqrt{333}=3\sqrt{37}$

6 0

3 years ago

Please help please find the answer quick

sergejj [24]

1. 64+28+21=113 sq. feet

2. 5x5=25 sq. ft.

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3 years ago

Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT c

nika2105 [10]

I believe it is C. a histogram
(if it’s not then sorry)

5 0

3 years ago

R is (-8,2) and RS is (-1,5) what are the coordinates of S?

Alexxx [7]

Answer:

detailed

Step-by-step explanation:

answer

7 0

3 years ago

Solve for a -8 = a(2+5)^2 +41 A. -1 B. 1 C. -2 D. 2

mario62 [17]

Answer:A

Step-by-step explanation:

-8=a(2+5)^2 + 41

-8=a x 7^2 + 41

-8=a x 7 x 7 +41

-8=49a+41

Collect like terms

-8-41=49a

-49=49a

Divide both sides by 49

-49/49=49a/49

-1=a

a=-1

5 0

3 years ago