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Westkost [7]
2 years ago
8

Clarissa (the surveyor from our book) is at home and needs to figure out how tall her wall is in order to replace one of the lig

hts. She places the mirror on the ground 27 feet from the wall. Clarissa is 9 feet from the mirror, and Clarissa's eyes are 6 feet from the ground. ​
Mathematics
1 answer:
Archy [21]2 years ago
8 0

Answer:

The height of the wall is 18 ft.

Step-by-step explanation:

I have taken a look at the question, and will label the diagram accordingly. Check the attachment.

We are asked to calculate the height of the wall. Well, the incidence ray is equal to the reflected ray, so therefore by AA we have similar triangles. Setting up a proportion to determine the height of the wall:

9/6 = 27/x [where x = height of the wall]

x = 27*6/9 = 18 ft.

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Round to 2 decimal places *
EleoNora [17]

Answer: The circumference of the dome is therefore 149.15 feet or 47.5π feet

Step-by-step explanation:

A scale is basically referred to as the ratio of the dimensions of an object as represented in a draft to the real or true dimensions of the object being drafted.

The figure(s) on the left of the ratio sign represents the size and dimensions of the model with respect to the actual size or dimensions of the object. On the other hand, the figure on the right hand size represents the actual dimensions and size of the real object.

So, if an object is being drawn with the ratio, 1cm : 5cm it means that the size of the object is being reduced because every 5cm of the actual object will always be represented by 1cm in the drawing. If the object is being drawn with a scale of 5cm : 1cm then the actual size of the object will be increased in the drawing. That is, for every 1cm in the actual dimensions of the object, there will be a 5cm representation in the drawing.

Now, the architect draws with a scale of 0.25 inches : 1 foot. If the diameter of the hemispherical dome is 23.75 inches in the scale model, then the actual diameter of the dome is:

0.25 inches ------- 1 foot

23.75 inches ------- ? feet

= 23.75/0.25 × 1

= 95 feet

Therefore, the actual diameter of the dome is 95 feet. We are now required to find the circumference of this dome.

The dome is a hemisphere which literally means half of a sphere. So, if the formula for finding the circumference of a sphere is πd, that of a hemisphere will then be πd/2. Since the diameter is already known to be 95 feet, the circumference of the hemisphere =

(π × 95)/2

=47.5π feet

Or

If π = 3.14, then the circumference = (3.14 × 95)/2 = 149.15 feet

The circumference of the dome is 149.15 feet or 47.5π feet

5 0
3 years ago
Combine like terms 7a - a+ 16 = ?
dexar [7]
6a+16

Explanation:
If there's just a variable, there's an understood 1 in front of it. So what that really says is:

7a-1a+16

So, you combine the a's. 7a minus 1a is 6a. Same as 7-1,but you have a variable stuck on the end of it.

6a+16

:^)
4 0
3 years ago
Read 2 more answers
5) According to the histogram, how many shipments were received that had at most 30 bulbs broken? A) 4 B) 5 C) 9 D) 13
MariettaO [177]

Answer:

The answer would be A) 4

6 0
2 years ago
Serena bought a total of 135 notebooks and pencils for her students. Each notebook cost $1.75, and each pencil cost $0.35. The t
notsponge [240]

Answer:

81 pencils is the answer

8 0
3 years ago
What’s the degree of x
olga2289 [7]
Answer:
24.23

Step-by-step explanation:
The tan(x) would equal to the opposite side over the adjacent one
So 9/20. To get the degree we need to get the arctan of it, so arctan(9/20) = 24.23

5 0
2 years ago
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