30 feet
Step-by-step explanation:
- Since Natalie is standing right next to the Penthouse, we can establish the ration between her height and the shadow she casts, which is;
1.1 : 5.5
- The two are related by a factor of 1/5
- We can use this factor to establish the shadow cast by the penthouse;
1/5 * 150
= 30
Learn More:
For more about relationships by ratios check out;
brainly.com/question/11961256
brainly.com/question/12548098
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<h3>
Answer: 10.7</h3>
Work Shown:
5 times 2 = 10
5 times 13 = 65
5 times 2.13 = 10.65
This rounds to <u>10.7</u> when rounding to the nearest tenth, i.e. one decimal place.
Answer:
A= 9 , B= 4 , C= 18
Step-by-step explanation:
if u need a in depth explanation text me in the comments :)
Answer: Area = 6m²
Smaller number = 16
Hours = 9.6 h
Step-by-step explanation:
A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the area remains the same. Find the area of the rectangle.
1) w = x m 2) w = x + 1 m
l = x + 5 m l = x + 5 - 2 = x + 3 m
A₁ = A₂
A = w*l
A₁ = x(x+5) = x² + 5x
A₂ = (x+1)(x+2) = x² + x + 2x + 2 = x² + 3x + 2
A₁ = A₂
x² + 5x = x² + 3x + 2
5x - 3x = 2
2x = 2
x = 1
A₁ = x(x+5) = 1.6 = 6 m²
The ratio of two numbers is 2:5. If the larger number is 40, what is the smaller number.
<u> 2 </u> = <u> x </u>
5 40
5x = 80
x = 80/5 = 16
Sixteen construction workers can finish cementing a floor of a building in 3 hours. On a certain day, only 5 construction workers are available for the job. How long will it take the 5 construction workers to do the cementing job?
workers hours
16 3
5 x
↑ ↓ inversely proportional
<u> 5 </u> = <u> 3 </u>
16 x
5x = 16*3
5x = 48
x = 48/5
x = 9.6 h
