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Sergio [31]
3 years ago
10

What is the answer to the length of a rectangle is 5 feet more then the width and the perimeter is 22 what is is width of the re

ctangle?
Mathematics
1 answer:
Margaret [11]3 years ago
3 0
Question:
l = 5 + w
perimeter = 22
width?

Solution:
Perimeter = 22
2(l + w)     = 22
2(5+w+w) = 22
2 (5 + 2w) = 22
     5 + 2w = 11
           2w = 6
             w = 3

The width is 3
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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
5. What is the surface area of this triangular pyramid?
Zielflug [23.3K]
Answer: 5cm




Heiwlqmrbeh
6 0
2 years ago
You have 1 case of soap bars and there are 150 bars in a case. You use 300 bars of soap per day. How many cases do you need to o
Grace [21]

multiply 300 by 7 and then you should be able to finish the equation
5 0
2 years ago
Read 2 more answers
F(x) = 8|x| - 5<br> f(-2) =
Anastaziya [24]

Answer:

f(-2) = 11

Step-by-step explanation:

Hello!

We can evaluate y by plugging in -2 for x in the equation.

<h3>Evaluate</h3>
  • f(x) = 8|x| - 5
  • f(-2) = 8|-2| - 5
  • f(-2) = 8(2) - 5         Remember that absolute value turns the number positive
  • f(-2) = 16 - 5
  • f(-2) = 11

The evaluated value is 11.

6 0
1 year ago
How to solve this equation?
lilavasa [31]
I solved it on your other posting of it. x = 12
All of the steps are there
7 0
3 years ago
Read 2 more answers
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