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Furkat [3]
3 years ago
12

WILL GIVE BRAINLIEST

Mathematics
1 answer:
Luda [366]3 years ago
6 0
1A
2C
3A
Give me brainliest
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PROBLEM: Riley has a rectangular shaped patio that is 13 feet long by 15 feet wide. He wants to DOUBLE THE AREA of the patio by
photoshop1234 [79]

Answer:

1) The equation that represents the total area of Riley's proposed ratio is A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y).

2) The length and width of the new patio are approximately 18.4 feet and 21.2 feet, respectively.

Step-by-step explanation:

1) From Geometry we remember that area formula for the rectangle is represented by:

A = x\cdot y (1)

Where:

A - Area, measured in square feet.

x - Length, measured in feet.

y - Width, measured in feet.

From statement we know that Riley wants to double the area, that is:

A' = 2\cdot A (2)

By applying (1) in (2), we get the following expression:

A' = 2\cdot x\cdot y (3)

Given that Riley wants to double the area of the pation by increasing the length and width by the same amount, we can rearrange (3) by algebraic means:

A' = \sqrt{2}\cdot \sqrt{2}\cdot x\cdot y

A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y) (3b)

The equation that represents the total area of Riley's proposed ratio is A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y).

2) If we know that x = 13\,ft and y = 15\,ft, then the length and the width of the new patio are, respectively:

x' = \sqrt{2}\cdot x

x' = \sqrt{2}\cdot (13\,ft)

x' \approx 18.4\,ft

y' = \sqrt{2}\cdot y

y' = \sqrt{2}\cdot (15\,ft)

y' \approx 21.2\,ft

The length and width of the new patio are approximately 18.4 feet and 21.2 feet, respectively.

8 0
3 years ago
I need this one, answer please?
Stolb23 [73]

Answer:

Pair 1.

Step-by-step explanation:

On pair 1, shape A can go into shape B with a rotation.

Pair 2 would be a translation.

Pair 3 would be a reflection across the x-axis.

Pair 4 would be a reflection across the y-axis.

6 0
3 years ago
Read 2 more answers
louise skip counts by 4 on a number line to find 5 x 4 how many jumps should she draw in the number line
saul85 [17]
<h3>Answer:</h3>

It depends:

  • 4 if she starts at 4
  • 5 if she starts at 0
<h3>Explanation:</h3>

Louise needs to end up a total of 5 times 4 away from zero.

If she starts at 4, which is 1 times 4, then she needs to jump 4 more times, to 2, 3, 4, 5 times 4.

If she starts at 0, then she needs to jump 5 times to 1, 2, 3, 4, 5 times 4. (The values at the end of each jump will be {4, 8, 12, 16, 20}.)

4 0
3 years ago
What is the value of cosine (StartFraction 4 pi Over 3 EndFraction)? cos(4pi/3)
Dominik [7]
The answer is 1/2.....
8 0
3 years ago
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6) find the volume of the cone
Molodets [167]

Answer:

I'm pretty sure it's C/80.

Step-by-step explanation:

Have a beautiful dayyy!

5 0
3 years ago
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