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aksik [14]
3 years ago
14

a farmer leans a 12-ft ladder against a barn. The base of the ladder is 3 ft from the barn. To the nearest tenth, how high on th

e barn does the ladder reach?

Mathematics
1 answer:
stiks02 [169]3 years ago
6 0

Answer:

11.6 ft

Step-by-step explanation:

I attached a diagram for you to easily visualize this problem.

To solve this problem, you would use the pythagorean theorem. The 12-ft ladder is the hypotenuse and the 3 ft from the barn is one of the side legs. You want to find the length of the "other side leg", or the height of the barn.

Substitute 3, 12, and x into the pythagorean theorem like so.

a^2 + b^2 = c^2

3^2 + x^2 = 12^2

Evaluate the exponents.

9 + x^2 = 144

Subtract 9 from both sides.

x^2 = 135

Square root both sides.

x = 11.618

Round this to the nearest tenth: 11.6 feet.

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Answer:

Perimeter: 88m

Step-by-step explanation:

Area of the square plot = (Side) X (Side)

And we are given the area is 484m²,

therefore, (Side) X (Side) = 484m²

or,

(Side)² = 484, taking square root on both the sides,

\sqrt{(Side)^{2} } = \sqrt{484}

Side = 22m.

And we know that, perimeter of a square is = 4 X (Side)

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3 years ago
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How do you solve this math problem-2(x+3y)=18
ss7ja [257]
Greetings!

Solve for <em>x</em>.
-2(x+3y)=18
Distribute the Parenthesis. <em>How?</em> Multiply all of the terms inside the parenthesis by the number outside the parenthesis.
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Add 6y to both sides.
(-2x-6y)+6y=(18)+6y
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Divide both sides by -2.
(-2x)/-2=(18+6y)/-2
The Answer Is:
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7 0
3 years ago
A sealed-tube manometer can be used to measure pressures below atmospheric pressure. The tube above the mercury is evacuated. Wh
sp2606 [1]
The <u>correct answers</u> are:

6.5 cm = 65.00001052 torr
6.5 cm = 8665.93 Pa
6.5 cm = 0.08552632119 atm

Explanation

The conversion rate from centimeters mercury (cm Hg) to torr is
1 torr = 0.099999983814461 cm.

We have 6.5 cm; this means to convert we divide:
6.5/0.099999983814461 = 65.00001052

The conversion rate from cm Hg to Pascals (Pa) is
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We have 6.5 cm; this means to convert we multiply:
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The conversion rate from cm Hg to atmospheres (atm) is
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We have 6.5 cm; this means to convert we divide:
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3 years ago
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\boxed{\mathrm{view \: explanation}}

Step-by-step explanation:

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