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rusak2 [61]
2 years ago
10

I need the answers to these problems for my test corrections.

Mathematics
1 answer:
Anestetic [448]2 years ago
6 0

Answer:

1.   y = 12

    x = 7.9

2.  AB = 5

    AC = 5√3

Step-by-step explanation:

1. If you call the straight up line of both triangles is z, then

(9 + 7)^2 = y^2 + z^2

=> z^2 = 256 - y^2

x^2 + 7^2 = z^2

=> z^2 = x^2 + 49

so 256 - y^2 = x^2 + 49

x^2 = 207 - y^2

for the left smaller triangle: 9^2 + x^2 = y^2

y^2 = x^2 + 81

Substitute:

y^2 = (207 - y^2) + 81

2y^2 = 288

y^2 = 144

y = 12

x^2 = 207 - y^2 = 207 - 144 = 63

x = 7.9

2. Sin(30) = AB/BC

=> AB = BC x sin(30) = 10 x 0.5 = 5

Cos(30) = AC/BC

=> AC = BC x cos(30) = 10 x √3/2 = 5√3

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Answer:

is this on edulastic? if you have the option check answer put 12 and let me know if it was right please.

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The area of a rectangular patio is 5 5/8 square yards, and it's length is 1 1/2 yards. What is the patio's width in yards?
MAXImum [283]
Hello there! Thank you for asking your question here at Brainly. I will be assisting you today with answering this problem, and will be teaching you how to deal with it on your own in the future.

First, let's take a look at our question, and evaluate it.

"The area of a rectangular patio is 5 5/8 square yards, and it's length is 1 1/2 yards. What is the patio's width in yards?"

To clarify this problem, we are looking for the patio's width.

Let's first understand what the area of a rectangular shape is.
The formula for the area of a rectangle is "Length times Width", or "L • W".

So this is how the equation should look like:
A = L • W
We have our area, 5 5/8, and we have our length, 1 1/2.

To make things more simple, let's convert our fractions to decimals. Now, to convert our fractions to decimals, let's set our denominators (the numbers on the bottom of a fraction) equal to another fraction, with x as the numerator (the numbers on the top of a fraction) and 100 as the denominator.

So we have 1/2 and x/100. Divide 100 by 2 to find x (as 1/2 of anything is dividing by 2).
100 / 2 = 50, so 1 1/2 = 1.50 as a decimal.

Now, let's try 5/8.
1/8 = 0.125, so multiply 0.125 by 5.
0.125 • 5 = 0.625.
5 5/8 = 5.625 as a decimal.

So, now we have our equation:
A = L • W
Plug in our numbers.
5.625 = 1.50x

To isolate and solve for x, we need to divide both sides by 1.50, so let's do that.
5.625 / 1.50 = 3.75
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We are now left with:
x = 3.75

Your answer is:
The patio's width is 3.75 yards.

I hope this helps!
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3 years ago
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Step-by-step explanation:

Given

2^{2x+y-1}=32

2^{2x+y-1}=2^5

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4^{x-2y}=2

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we get x=2.5

substitute x in 1

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Answer:

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Answer:

Step-by-step explanation:

Solution

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