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taurus [48]
3 years ago
8

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 squar

e. What is the length of each side of the larger square
Mathematics
1 answer:
Tanya [424]3 years ago
8 0
Let side of smaller square = x then the side of larger one = 2x.
totalerea = 45 so:-

x^2 + (2x)^2 = 45
x^2 + 4x^2 = 45
5x^2 = 45
x^2 = 9
x = 3

Length of each side of larger square = 6 

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How to solve x(x-3)=0
damaskus [11]

Step-by-step explanation:

x(x-3)=0

x=0 or (x-3) =0

x= 0 or x =3

7 0
3 years ago
Phones-R-Us charges $16.95 per month and $0.05 per text message. Awesome Wireless charges $22.95 per
Dima020 [189]

Answer:

S \leq 200

Step-by-step explanation:

Given

Phone R-Us= $16.95 + $0.05 per SMS

Awesome Wireless = $22.95 + $0.02 per SMS

Required

Determine the number of SMS such that Awesome Wireless is greater or equal to Phone R-Us

Represent the SMS with S

For Phone R-Us, we have:

SMS = 16.95 + 0.05S

For Awesome Wireless, we have:

SMS = 22.95 + 0.02S

For Awesome Wireless is greater or equal to Phone R-Us, we have:

22.95 + 0.02S \geq 16.95 + 0.05S

Collect Like Terms

0.02S - 0.05S \geq 16.95 - 22.95

-0.03S \geq -6

Solve for S

\frac{-0.03S}{-0.03} \geq \frac{-6}{-0.03}

S \leq 200

<em>Hence: for Awesome Wireless to cost more or equal to Phone R-Us, the number of SMS must not exceed 200</em>

4 0
3 years ago
Divide using synthetic division.<br> -3x^3+11x^2-x+20 by (x-4).<br><br> Please show steps!
Vaselesa [24]
-3 11 -1 20
4 -12 -4 -20
-3 -1 -5 0
Bring down the -3,
Multiply -3 * 4
Add 11 and -12
Multiply -1 * 4
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Multiply -5 * 4
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Answer: The power is reduced by one from the
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8 0
3 years ago
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ipn [44]

Answer:

300 150

Step-by-step explanation:

The price of the garden table is two times the price of the bench. What is the cost of the bench? x=150 for the bench. 2*150=300 for the table.

4 0
3 years ago
Matt has 11 white buttons. He has 9 fewer brown buttons than white buttons. Matt has 17 more grey buttons than brown buttons. Ho
In-s [12.5K]

Answer: 32 buttons

Step-by-step explanation:

Matt has 11 white buttons.

Matt has 9 fewer brown buttons than white buttons. This means he has (11 -9) = 2 brown buttons

Matt has 17 more grey buttons than brown buttons. This means that he has (2 + 17) = 19 grey buttons.

The total number of buttons that Matt has will be;

= 11 white + 2 brown + 19 grey

= 32 buttons

7 0
3 years ago
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