Answer: The height of the building is 50.75 feet.
Step-by-step explanation:
The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.
For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.
The ratio will be: 5.8ft/3.2ft = 1.8125
Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:
H/28ft = 1.8125
Now we can solve this for H.
H = 1.8125*28ft = 50.75 ft
Then the height of the building is 50.75 feet.
A reasonable number between 18 and 23 is 20. 69 minutes is 3 times 23 minutes, so we multiply the 20 by 3, getting an estimate of 60 cars.
Answer:
75
Step-by-step explanation:
45*1/3=15
15*5=75
Answer:
c. -17
Step-by-step explanation:
We have the function f(x) = -2t^2 + 1 and we need to solve for x if f(-3).
Substitute the x in the function with the x in the equation :
f(-3) = -2(-3)^2 + 1
Solve for the answer :
f(-3) = -2(9) + 1
f(-3) = -18 + 1
f(-3) = -17
Therefore, c. -17 is the answer.
Answer:
x = -7
Step-by-step explanation:
f(x) = -2x + 9
f(x) = 23
therefore, f(x) =
-2x + 9 = 23
-2x = 23 - 9
-2x = 14
-x = 14 ÷ 2
-x = 7
x = -7
