Answer:
The answer to your question is the height of the lamp is 18.2 ft
Step-by-step explanation:
Data
Street lamp shadow = 31.5 ft
Street sign height = 8 ft
Street sign shadow = 14 ft
Street lamp height = x
Process
1.- To find the height of the lamp use proportions. In this kind of problem, we do not look for the length, but the shadow.
Street lamp height/street lamp shadow = street sign height/street sign
shadow
Substitution
x / 31.5 = 8 / 14
Solve for x
x = (31.5)(8) / 14
Simplification
x = 254.4 / 14
Result
x = 18.2 ft
For this case we must find the value of the variable "x" of the following expression:
We apply distributive property to the terms within parentheses: 
We subtract 4x on both sides:
We add 2 to both sides:
We divide between 2 on both sides:
Answer:
Answer:
The length of Michelle's forearm is 9 inches
Step-by-step explanation:
Remember that
To convert feet to inches, multiply by 12
we know that
The length of Michelle's forearm was 3/4 of a foot
Convert to inches
Multiply the length in feet by 12
therefore
The length of Michelle's forearm is 9 inches
Answer:
0 dollars
=E(M)
=μ
M
=−$10,000(0.81)+$40,000(0.18)+$90,000(0.01)
=−8,100+7,200+900
=0
54 is the hypotenuse because it is the longest side. Square all of the sides. So 54^2=2916
51^2=2601
22^2=484
Now you have 2916=2601+484
Add the two and they will be greater than 2916. Because of that, you will have an acute triangle because 22^2+51^2>54^2
In short, its B
