The combined area of two squares is 45 square centimeters. Each side of one square is twice as long as a side of the other square. What is the length of each side of the larger square?

Answers

Answer 1

Answer: a - side of the square
a₁ - arm the small square
a₂ - larger side of the square
2a₁ = a₂ we put into the equation 2
(a₁)² + (a₂)² = 45cm²

2a₁ = a₂
(a₁)² + (2a₁)² = 45cm²
(a₁)² + 4(a₁)² = 45cm²
5(a₁)² = 45cm²
(a₁)² = 9cm²
a₁ = √(9cm²) = 3cm
a₂ = 2a₁ = 2*3cm = 6cm
A₁ = (a₁)² = (3cm)² = 9cm²
A₂ = (a₂)² = (6cm)² = 36cm²
A₁ + A₂ = 9cm² + 36cm² = 45cm²

Related Questions

Answer this please !!!!!!
To determine customer opinion of their pricing, Home Depot randomly selects 140 check out lines during a certain week and surveys all customers in the check out lines. What type of sampling is used?
The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tracking them. Since then, there have been as many new trees each year. Create the sigma notation showing the infinite growth of the trees and find the sum, if possible. Year New trees 1 1000 2 200 3 40
Which expression is equivalent to i to the power of 233a. 1 b.-1 c.i d.-i
A student playing a computer chess game gets 5 points every time he wins a round. The computer gets 3 points every time it wins a round. They play 64 rounds and end with a tied score. How many rounds did the computer win?

Prove that the recurring decimal 0.39 = 13/33

Answers

$x=0.\overline{39}\n100x=39.\overline{39}\n 100x-x=39.\overline{39}-0.\overline{39}\n 99x=39\n x=(39)/(99)=(13)/(33)$

Steve read a total of 9 books over 3 months. If Steve has read 15 books so far, how manymonths has he been with his book club? Assume the relationship is directly proportional.

Answers

Answer:

5 months

Step-by-step explanation:

9/3=3

15/3=5

Dianna has 7 quarters, 3 dimes, and 8 nickels in her purse. She reaches into her purse and randomly grabs two coins. What is the probability that Dianna grabs a dime first and then a nickel?

Answers

There are 18 coins total in her bag:

7+3+8=18coins

3 of the 18 coins are dimes, so the odds of first drawing a dime are 3/18

P(dime)=3/18

Since the nickel was taken out and not replaced, there are now 17 coins in her purse.

18-1=17coins

8 of the 17 remaining coins are nickels, so the odds of drawing a nickel are 8/17.

P(nickel)=8/17

Now we multiply the two probabilities by eachother to find out the odds of both occurring...

P(dime)*P(nickel)=

3/18*8/17=24/306=8/103=0.078=8%

The probability of grabbing a dime and then a nickel are 8/103 or 0.078 or an 8% chance, whichever way you'd prefer to write it.

Mofor had $21 to spend on two notebooks. After buying them he had $13. How much did each notebook cost?

Answers

His total cost was 8 dollars, so you divide that by two.

8/2 = 4

So, each notebook was $4.00.

Solve for x: 3(x + 1) = −2(x − 1) + 6.

Answers

3(x+1) = -2(x-1) + 6
3x + 3 = -2x + 2 + 6
5x + 3 = 8
5x = 5
x = 1

A swimming pool is being drained for maintenance. The volume of water in the pool changes by −12 gallons every minute. What is the change in volume over 90 minutes? Enter the your answer in the box.

Answers

Answer:

Step-by-step explanation:

Answer:

-1080

Step-by-step explanation:

1 min = -12

90 min = 90 * (-12) = - 1080

Other Questions

Y=7-|x| find y if x = 2

The perimeter of a rectangular field is 344 yards. If the width of the field is 74 yards, what is its length

What percent of 32.2 is 24.15

Given that cos 63°≈ 0.454, enter the sine of a complementary angle. sin