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ra1l [238]
3 years ago
10

A 17-foot ladder is leaning against a building. The base of the ladder is 8 feet

Mathematics
2 answers:
harkovskaia [24]3 years ago
7 0

Answer:

Solution given:

base=8ft

hypotenuse=17ft

perpendicular=?

By using Pythagoras law

hypotenuse ²=perpendicular ²+base²

17²=perpendicular ²+8²

perpendicular ²=17²-8²

perpendicular=\sqrt{225}=15

<h3>the distance between the ground and the top of the ladder, <u>x is 15ft.</u></h3>

ss7ja [257]3 years ago
3 0

Answer:

Pythagorean theorem:

x^2 = 17^2 - 8^2

x^2 = 225

x = sqrt(225) = 15

The distance is 15 ft

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Answer & Step-by-step explanation:

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That is why 2 times 3/4 is less than 2.

Hope that helps ;)

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What is the distance between P(12, 4) and Q(-8, 2)
abruzzese [7]

\huge{\boxed{2 \sqrt{101}}}

The distance formula is \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}, where (x_1, y_1) and (x_2, y_2) are the points.

Substitute in the points. \sqrt{(2-4)^2+(-8-12)^2}

Subtract. \sqrt{(-2)^2+(-20)^2}

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Add. \sqrt{404}

Now, we can simplify this square root just a little bit. 404 has a square factor of 4. \sqrt{404}=\sqrt{4}*\sqrt{101}

The square root of 4 equals 2. \boxed{2 \sqrt{101}}

6 0
3 years ago
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Alenkinab [10]
150 pennies in the jar .
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The Junior Beta club needs to raise $1513.75 to go to a national convention. If they decided to sell candy bars at $1.25 each, h
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1,211 candy bars.

Step-by-step explanation:

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The measures of two complementary angles are m angle 1 = (10x+7) and m angle 2=(9x-12) find the measures of both angles
USPshnik [31]

Answer:

m<1 = 57°

m<2 = 33°

Step-by-step explanation:

To find the numerical measure of both angles, let's come up with an equation to determine the value of x.

Given that m<1 = (10x +7)°, and m<2 = (9x - 12)°, where both are complementary angles, therefore, it means, both angles will add up to give us 90°.

Equation we can generate from this, is as follows:

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Solve for x

10x + 7 + 9x - 12 = 90

Combine like terms

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Divide both sides by 19

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Replace x with 5

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Replace x with 5

m<2 = 9(5) - 12 = 45 - 12 = 33°

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3 years ago
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