Answer:
Her son is 10 years old.
Step-by-step explanation:
Let son be x
Ellie is 4x
In 5 years time: Her son = x + 5
Ellie = 4x + 5
Given that she will then be 3 times as old as her son: 4x + 5 = 3(x + 5)
Solve x: 4x + 5 = 3(x + 5) ,4x + 5 = 3x + 15
x = 10
Answer:
Remember the formula for calculating volume is: Volume = Area by height. V = A X h.
For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.
So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.
Step-by-step explanation:
Answer:
where R is the R-value and t is the thickness in inches.
Step-by-step explanation:
We are given the following in the question:
The R-value of fiberglass insulation and f its thickness have a linear relation.
Let R be the R-value and t be the thickness. Then, the equation can be written as:
where a and b are constants.
When t = 3.5, R = 11
When t = 6, R = 19
Solving the two equation, using the elimination method, we have,
Thus, the linear relationship is given by:
where R is the R-value and t is the thickness in inches.
The first quartile is from the first dot to first vertical line, which is 13-15.5.
The maximum is the right most dot, which is 35.
The median is the line in the box, which is 10.5.
Shadow length is proportional to object height.
(tower height)/(tower shadow length) = (tree height)/(tree shadow length)
(tower height)/(72 ft) = (27 ft)/(6 ft)
(tower height) = (72 ft)*(27/6)
(tower height) = 324 ft
The cellular telephone tower is 324 ft tall.
