3 years ago

Plz Answer 25 points

Mathematics

1 answer:

Alex787 [66]3 years ago

7 0

Answer:

The answer is 1.

Step-by-step explanation:

None.

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An 8 foot long piece of 2 by 4 wood is used to prop up a fence if the 2 by 4 makes 30 degree angle with the ground how high abov

dybincka [34]

Answer:

Step-by-step explanation:

H (height the 2x4 contact the fence)

sin 30° = H / 8

1 /2 = H / 8

H = 1/2 * 8 = 4

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3 years ago

Factor completely 64x2 − 49. (1 point)

Roman55 [17]

Answer:

(8x-7)(8x+7)

Step-by-step explanation:

This is a difference of squares polynomial of the form $a^2-b^2=(a+b)(a-b)$ . Since 64 and 9 are both perfect squares then take the square root of each so a=8 and b=7.

Factors:(8x-7)(8x+7)

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3 years ago

A ladder is leaning up against a house. The ladder is 20 feet long and the base of the ladder is 12 feet away from the house. Ho

MrRa [10]

Answer:

16 feet

Step-by-step explanation:

The length of the ladder=20 feet

Distance from the base of the ladder to the house = 12 feet

You will notice that a wall is vertical and the ladder makes an angle with the horizontal ground(making it the hypotenuse). This is a right triangle problem.

To find the how far up the house can the ladder can reach, we simply find the third side of the right triangle.

From Pythagoras theorem

$Hyp^2=Opp^2+Adj^2\\20^2=12^2+Adj^2\\Adj^2=400-144\\Adj^2=256\\Adj=\sqrt{256}=16$