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4 years ago

7

A 7-foot ladder is leaned against a building in such a way that the bottom of the ladder is 4 feet from the base of the wall. Fi

nd the angle formed between the ladder and the ground

1 answer:

kirza4 [7]4 years ago

5 0

Θ=<span><span>180<span>cos<span>−1</span></span><span>(<span>47</span>)/</span></span>π</span>=55.1501<span> degrees</span>

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Choose all distances that are equivalent to 1/2 mile.

damaskus [11]

Answer:

A, C, and E.

Step-by-step explanation:

I looked up what half a mile was in meters, yards, and feet, and it told me these were the right answers.

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3 years ago

Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inch

enot [183]

From the information given you have:

1) Smaller diagonal of the kite: 16 inches

2) Larger diagonal of the kite: height of one triangle (h1) + height of the other triangle (h2)

3) Calculation of the height of the smaller triangle, h1:

10^2 = (16/2)^2 + (h1)^2 => h1 = √ [10^2 - 8^2] = 6

4) Calculation of the height of the larger triangle, h2

17^2 = (16/2)^2 + (h2)^2 => h2 = √[17^2 - 8^2] = 15

5) Larger diagonal = h1 + h2 = 6 + 15 = 21

Answer: 21 inches

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3 years ago

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Maggie is planning on going to Penn State University. She estimates that she will need to earn at least $2,000 to live off of ov

professor190 [17]

A. The amount of money she must earn in the summer must be
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3 years ago

ABCD is a trapezium with AB= x cm, DC=( x+ 4 )cm and the distance between the parallel sides AB and DC is 1/2 x cm

horsena [70]

We know that the smaller base is x cm, the greater base is x+4 cm, and that the height is x/2 cm.

Since the area of a trapezium is given by

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If we plug the expressions we have

$A=\dfrac{(x+(x+4))\frac{x}{2}}{2}=\dfrac{(2x+4)x}{4}=\dfrac{2x^2+4x}{4}$

If this must equal 84, we can solve for x as follows: start with

$\dfrac{2x^2+4x}{4}=84$

Multiply both sides by 4:

$2x^2+4x=336$

Subtract 336 from both sides:

$2x^2+4x-336=0$

We can divide both sides by 2 to make computation simpler:

$x^2+2x-168=0$

Use the quadratic formula (or any mean you prefer) to solve this equation and get the solutions

$x_1=-14,\quad x_2=12$

We can't accept the negative solution, because it would imply

$AB=-14,\quad CD=-10$

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3 years ago

When multiplying or dividing integers,if you an even amount of negatives in the promblem ,your answer will be negative true or f

tatuchka [14]

Answer: false

Step-by-step explanation:

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4 years ago

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