Answer: The height of the building is 6.49 meters.
Step-by-step explanation:
This can be translated to:
"A building projects a 7.5 m shadow, while a tree with a height of 1.6 m projects a shadow of 1.85 m.
Which is the height of the building?"
We can conclude that the ratio between the projected shadow is and the actual height is constant for both objects, this means that if H is the height of the building, we need to have:
(height of the building)/(shadow of the building) = (height of the tree)/(shadow of the tree)
H/7.5m = 1.6m/1.85m
H = (1.6m/1.85m)*7.5m = 6.49m
The height of the building is 6.49 meters.
Step-by-step explanation:
This is the correct answer.
Even according to calculator and working.
So not quite sure why those options are incorrect?
Answer:
divide the diameter by 2
Step-by-step explanation:
the equation for the area of a circle is Pi times the radius squared. the radius is half the diameter, so if you need to find the area of the circle, just divide the diameter by 2 and you will have the length of the radius. then, jut plug it in to the equation.
Using a system of equations, it is found that Peter had $48 at first.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Peter's money.
- Variable y: Henry's money.
The ratio of peters money to henrys money is 4 : 3, hence:

After Peter spent $12, they had the same amount, hence:
y = x - 12.
Then, replacing in the ratio:


4(x - 12) = 3x
x = 48.
More can be learned about a system of equations at brainly.com/question/24342899
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