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sveta [45]
2 years ago
11

If a 45º-45º-90º triangle has a hypotenuse of length 9, find the leg length.

Mathematics
1 answer:
iVinArrow [24]2 years ago
7 0

Answer:

Step-by-step explanation:

x²+x²=9²

2x²=81

x²=81/2=(81×2)/4

x=9√2/2≈4.5√2≈6.36

9.

x²+x²=11²

2x²=11²

x²=11²/2

x=11/√2=11√2/2≈7.78

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Carrie wished to build a rectangular dog run along theside of her garage. The garage will serve as one side of the fence. If she
Nat2105 [25]

Given:

Carrie has 180 ft of the fencing and wishes the fence to be 4times as long as it is wide.

To Find:

The area in square feet that the fencing encloses.

Answer:

The fence encloses 3600 sq ft.

Step-by-step explanation:

Let x denote the length of the dog run and y denote the width of the dog run.

Given that the garage wall serves as one side of the dog run, we are left with 3 other sides to instal the fence.

Carrie has 180ft of fencing with her, so the sum of the lengths of the 3 sides has to be equal to 180. We can represent this in the form of an equation as

x+y+y=180\\\\x+2y=180\\\\x=180-2y

We are also given that Carrie wishes the fence to be 4 times as long as it is wide.

So,

x=4y

Replacing this value into the first equation, we have

4y=180-2y\\\\
6y=180\\\\
y=30

Therefore,

x=(4)(30)=120

Thus, the length of the dog run is 120ft and the width is 30ft.

The area enclosed will be equal to the length multiplied with the width. So,

(120)(30)=3600

The fence encloses 3600 sq ft.


4 0
3 years ago
2(x-3)-8< -4 I need a explanation and the answer please.
tresset_1 [31]

Answer:

The solution to the inequality is:

x

The number line solution graph is also attached below.

Step-by-step explanation:

Given the inequality

2(x-3)-8< -4

Add 8 to both sides

2\left(x-3\right)-8+8

2\left(x-3\right)

Divide both sides by 2

\frac{2\left(x-3\right)}{2}

x-3

Add 3 to both sides

x-3+3

x

Thus, the solution to the inequality is:

x

The number line solution graph is also attached below.

6 0
2 years ago
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oksano4ka [1.4K]
She beat her goal. her total was 7 miles and 1/12 as she ran .1 miles longer find the lcd of 4 and 3 wich is 12 and add the num. to get 13 and that simplifed is 1 1/12+6 which is 7.1 or
7 1/12 mules
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3 years ago
The total mass of raisins in a package is Normally distributed, with a mean of 520 grams and a standard deviation of 5 grams.
alexira [117]

Answer:1.41

Step-by-step explanation:

5 0
2 years ago
Please help me with functions​
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Answer:

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Step-by-step explanation:

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