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Alborosie
3 years ago
15

Which percent is equivalent to One-half? edgeunity

Mathematics
1 answer:
Bingel [31]3 years ago
8 0

Answer:50%

Step-by-step explanation:

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One of the tallest buildings in a country is topped by a high antenna. The angle of elevation from the position of a surveyor on
irina1246 [14]

Answer:

a. distance of the surveyor to the base of the building = 2051.90 ft

b. height of the building = 1384 ft

c. Angle of elevation from the surveyor to the top of the antenna = 38.31°

d. Height of antenna  =  237.08 ft

Step-by-step explanation:

​The picture above is a illustration of the described event.

a = the height of the flag

b = the height of the building

c = distance of the surveyor from the base of the building

the angle of elevation from the position of the surveyor on the ground to the top of the building = 34°  

distance from her position to the top of the building  = 2475 ft

distance from her position to the top of the flag  = 2615 ft

​(a) How far away from the base of the building is the surveyor​ located?​

using the SOHCAHTOA principle

cos 34° = c/2475

c =  0.8290375726  × 2475

c = 2051.8679921

c = 2051.90 ft

(b) How tall is the​ building

The height of the building = b

sin 34° = opposite /hypotenuse

0.5591929035 = b/2475

b =  0.5591929035  × 2475

b =  1384.0024361

b =  1384.00 ft

​(c) What is the angle of elevation from the surveyor to the top of the​ antenna?

let the angle = ∅

cos ∅ = adjacent/hypotenuse

cos ∅ = 2051.90/2615

cos ∅ =  0.784665392

∅ = cos-1  0.784665392

∅ =   38.310258303

∅ =  38.31°

​(d) How tall is the​ antenna?

height of the antenna = a

sin 38.31° = opposite/hypotenuse

sin 38.31° = (a + b)/2615

sin 38.31° × 2615 = (a + b)

(a + b) =  0.6199159917  × 2615

(a + b) =  1621.0803182

(a + b) = 1621. 08 ft

Height of antenna = 1621. 08 - 1384.00  =  237.08031822 ft

Height of antenna  =  237.08 ft

8 0
3 years ago
Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximati
Svetach [21]

Answer:

Answer:18+4.5\pi \\

Step-by-step explanation:

This shape is a triangle with a semicircle connected to it

and this triangle is a right triangle so side A=B

that means the other leg is 6.Knowing that we can solve

The formula for the area of a triangle is (base×height)÷2

so that means 6×6 equals 36 and if you divide that by 2 you get the 18.

Now we will deal with the semicircle. We know that both of the legs are 6 so that means the diameter is 6 and now we solve 6 divided by 2 equals 3 and we will have to square that and we will 9 and since it is a semicircle we have to divide it by 2  and that will give us 4.5 and since we have to express it in terms of pi it will be 4.5(pi) and then we add both of the areas

giving us 18+4.5(pi)

and do you go to RSM

8 0
3 years ago
NEED ASAP
nadya68 [22]

Answer:

$0.29

Step-by-step explanation:

Multiply the unit weight ($0.24/ounce) by the weight (1.2 oz.):

$0.24     1.2 oz

.24 * 1.2 = $0.288

So, the rounded answer will be $0.29

5 0
3 years ago
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Find the sum of the first 50 positive even integers.
adell [148]
2250
50*(2+100)/2
50*102/2
50*51
2250
7 0
3 years ago
A density graph for all of the possible times from 50 seconds to 300 seconds
Vika [28.1K]

Answer: D. took quiz :)

Step-by-step explanation:

7 0
3 years ago
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