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o-na [289]
3 years ago
9

A 14 ft ladder is used to scale a 13 ft wall. At what angle of elevation must the laxder be situated in order to reach the top o

f the wall?
Mathematics
2 answers:
Crazy boy [7]3 years ago
7 0

Answer:

The angle of elevation is equal to 68.2 degrees

Step-by-step explanation:

As you can see from the image below we are trying to find the angle on the bottom right.

We know that the hypotenuse is equal to 14 and we know that the opposite is equal to 14. This means that we will be using Sine.

sin x = 13/14

divide:

sin x = 0.9285714286

now we need to use sin^-1

sin^-1 (0.9285714286) = 68.21321071

Round 68.21321071 to the nearest tenth:

68.2

The angle of elevation is 68.2 degrees!

Allisa [31]3 years ago
7 0

Answer:

\theta \approx 68^\circ

Step-by-step explanation:

<u>Trigonometry</u>

The ladder, the wall, and the ground form a right triangle, where the ladder is the longest side (hypotenuse).

The trigonometric ratios stand on right triangles and can be used to relate side lengths with angles.

The angle of elevation, formed by the ladder and the ground has the height of the wall as the opposite side. Thus we can use the sine ratio, defined as:

\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}

\displaystyle \sin\theta=\frac{13}{14}

Solving:

\displaystyle \theta=\arcsin \frac{13}{14}

Calculating:

\mathbf{\theta \approx 68^\circ}

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Please help! Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact valu
Nadya [2.5K]

Answer:

The \ area \ of \ the \ figure = 4\dfrac{1}{2} \cdot \pi + 18 \ cm^2

Step-by-step explanation:

Given that the figure is made up of portion of a square and a semicircle, we have;

BC ≅ AB = 6 cm

The area of semicircle BC with radius BC/2 = 3 is 1/2×π×r² = 1/2×π×3² = 4.5·π cm²

Triangle ABC = 1/2 × Area of square  from which ABC is cut

The area of triangle ABC = 1/2×Base ×Height = 1/2×AB×BC = 1/2×6×6 = 18 cm²

The area of the figure = The area of semicircle BC + The area of triangle ABC

The area of the figure = 4.5·π cm² + 18 cm² = \dfrac{9 \cdot \pi +36}{2} \ cm^2.

5 0
3 years ago
I need help ASAP plzz
SVEN [57.7K]

Answer:

I can't quite tell what it is. But if you make it bigger ( the picture ) I will try to help.

Step-by-step explanation:

4 0
4 years ago
7 divided by 20 is what answers
Montano1993 [528]
Hello! 

The Correct Answer to this is that <span>7 divided by 20 or 7/20 equals:

"7/20 = 0.35"

</span>Explanation:

Since you are trying to find equivalent values for 7/20, you can make two proportions and set them equal to each other. The following states that "7 out of 20 is equal to some amount out of 100."

<span><span>7/20</span>=<span>x/100</span></span>

Solve by cross multiplying:

<span>20x=700</span>

Divide both sides by 20 to isolate x:

<span>x=35</span><span> Therefore, </span><span><span>7/20</span>=<span>35/100</span></span><span>. This is the same as saying 35%, since by definition "per" means out of, and "cent" means hundred. To make it into a decimal just move the decimal place two digits to the left, such that 35.00 becomes 0.35, and 100.00 becomes 1. Then it is simply </span><span>0.35/1</span><span>, or 0.35</span>

<span>
Hope this Helps! Have A Wonderful Day! :)</span>
5 0
3 years ago
Read 2 more answers
I need help plzzzzzz
My name is Ann [436]

(1) The train travels 4 miles per gallon.

(2) The slope of the graph is m=\frac{1}{4}

Explanation:

(1) The miles that train travels per gallon is given by

Miles= \frac{800}{200}

Dividing, we have,

Miles= 4

Thus, the train travels 4 miles per gallon.

(2) To determine the slope, let us consider two points from the graph.

The coordinates are (0,0) and (800,200)

Thus, substituting the coordinates in the slope formula, we get,

m=\frac{200-0}{800-0}

Simplifying, we have,

m=\frac{200}{800} =\frac{1}{4}

Thus, the slope of the graph is m=\frac{1}{4}

3 0
3 years ago
Which set of ordered pairs represents a function? {(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)} {(3, –1), (7, 1), (–6, –1), (9, 1
ra1l [238]
A function can't have x repeating any of the same number twice for example the first one (2, -2), (1, 5), (-2, 2), (1,-3), (8,-1) you have two 1's (1,5) and (1,-3) the x is the first number. Now a function can have the same y value. So your answer is (3, -1), (7,1), (-6,-1), (9,1), and (2,-1) you have to have all different x values in order for it to be a function. Hope that helps.
7 0
4 years ago
Read 2 more answers
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