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Mamont248 [21]
3 years ago
13

2. A boy who is 5 feet 6 inches tall casts a shadow that is 8 feet and 3 inches long. What is the measure of the

Mathematics
1 answer:
kvasek [131]3 years ago
6 0

Answer:

34°

Step-by-step explanation:

The boy is 5 feet 6 inches tall.

The boy casts a shadow that is 8 feet and 3 inches long.

We know 12 inches equal 1 foot.

Therefore the boy's height is 5.5ft and the shadow is 8.25ft.

The angle of elevation of the sun is given by the tangent of the angle A.

\tan(A)  =  \frac{5.5}{8.25}

\tan(A)  =  0.6667

A=   {\tan}^{ - 1} (0.6667)

A=33.69 \degree

To nearest degree is 34°

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the altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 14 and 8. what is the length
lisov135 [29]

Answer:

B. 4\sqrt{7}

Step-by-step explanation:

The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.

This can be represented as:

h = \sqrt{(xy)}

Where,

h = the length of the altitude,

x and y are the lengths of the 2 segments formed.

Therefore, the length of the altitude = h = \sqrt{(14*8)}

h = \sqrt{112}

h = \sqrt{16}*\sqrt{7}

h = 4\sqrt{7}

3 0
4 years ago
Help please!! 10 points <3
tangare [24]

Answer:

x = 5

Step-by-step explanation:

15 / 3 =5

5 0
3 years ago
Read 2 more answers
Kelly needs to order lunch for the 6 people at a business meeting. Her menu choices are chicken salad for acost of $5 per person
Lady bird [3.3K]
Hello There!! (: 
I'm Here to help!
If we say Kelly orders 1 chicken salad, then it means she ordered 5 egg salads. If she ordered x chicken salads, then she'll have to order the rest, which is <span>(6−x)</span> egg salads. For first equation, let's set y to be the meal's price. It consist of the price of all chicken salads ordered and the price of all egg salads ordered: <span>y=5x+4(6−x)</span> Again, x represents number of chicken salads ordered, and y represents the meal's price. A second equation would come to limit the price to the money Kelly has: <span>y≤28
</span> Notice there are more constraints to add on the values (x cannot be negative, no such thing negative number of salads or fractional number of salads) so just keep that in mind. Now, since we know the price based on the number of chicken salads, we can say for what number of salads it matches the second restriction: <span><span><span>5x+4(6−x)≤28</span><span>5x+24−4x≤28</span><span>x≤28−24</span><span>x≤4

Does this help you?
I Sure hope so have a goodnight ! (:


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6 0
3 years ago
Craig is designing a new cylinder-shaped can for a pet food company. He wants the height of the can to be 40 mm and the radius o
devlian [24]
The height of the can for this case is given by:
 h = 40 mm
 The radius of the can is given by:
 r = (1 3/8) * h
 Substituting values:
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 r = 55 mm
 Therefore, the diameter of the can is:
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 d = 2 * 55
 d = 110 mm
 Answer:
 
The diameter of the can will be:
 
d = 110 mm
3 0
3 years ago
Which equation has exactly one solution in common with the equation y=6x-2?
GalinKa [24]

Answer:

A. 18x - 3y = 6

Step-by-step explanation:

By taking 3 common from the terms 18x and 3y we get,

3 (6x-3y) = 6

or, 6x - y = 6/3

or, 6x - y = 2

And,

The equation becomes,

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5 0
4 years ago
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