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ale4655 [162]
3 years ago
9

Calculate the area of the square. Round to the nearest hundredt)

Mathematics
1 answer:
noname [10]3 years ago
8 0

Answer:

144

Step-by-step explanation:

In a 45-45-90 triangle, the ratio of the lengths of the sides is:

leg   :    leg    :    hypotenuse

 1     :     1       :       sqrt(2)

Draw a segment from the center point to the bottom side of the square that is perpendicular to the bottom side. Now you have a right triangle. The hypotenuse is 6sqrt(2). The legs are 6. The bottom leg is half the side of the square.

side of square = 2 * 6 = 12

area = side^2 = 12^2 = 144

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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
DENIUS [597]

The barn, the ground, and the ladder form a right triangle. If we represent the height on the barn by y, then the Pythagorean theorem tells us

... hypotenuse² = (side1)² + (side2)²

... (12 ft)² = (3 ft)² + y² . . . . . . . . . . . . fill in given information

... 144 ft² - 9 ft² = y² = 135 ft² . . . . . .subtract (3 ft)²

... y = 3√15 ft ≈ 11.6 ft . . . . . . . . . . . take the square root

The ladder reaches 11.6 feet high on the barn.

4 0
4 years ago
Read 2 more answers
In ΔLMN, MN = 15, NL = 20, and LM = 6. Which list has the angles of ΔLMN in order from smallest to largest?
Gnom [1K]

Answer:

m<N, m<L, m<M

Step-by-step explanation:

The angle that sees the longest side length has the bigger angle measurement

so the angles would be listed as following :

from smallest to largest :

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6 0
3 years ago
Find the Slope:
AveGali [126]

Answer:

4) slope= 0

5) slope =  -  \frac{1}{7}

Step-by-step explanation:

\boxed{ slope = \frac{y _{2} - y_1 }{x_2 - x_1} }

4) Slope

=  \frac{10 - 10}{ - 10 - 3}

=  \frac{0}{ - 13}

= 0

The slope is zero as the line is a horizontal line (since both points have the same y-coordinate of 10).

5) Slope

=  \frac{5 - 4}{2 - 9}

=  \frac{1}{ - 7}

=  -  \frac{1}{7}

Since you have taken (x₁, y₁) to be (9, 4), the value of x₁ should be 9 instead of 2.

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3 years ago
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I’d like to know how to solve this problem.
sergiy2304 [10]
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6 0
3 years ago
Find the maximum value of Y = -3(x+7)(x+1)
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5 0
3 years ago
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