The direct variation between x and y may be written as,
y = kx
where k is the constant of variation. From the first set of values of the variables,
12 = k(8)
the value of k is 1.5. Substituting the next set to the same equation,
y = 1.5(14)
The value of y is 21.
Answer:
The answer is 12.64 ft.
Step-by-step explanation:
From the figure it is clear that slope is the hypotenuse which we have to find while the other two sides are legs of the triangle whose lengths are known.
so the pitch of the roof is 12.64 ft. i explained in the figure below as well.
Answer:
Step-by-step explanation:
Power (denoted by P) can be defined as a function of work (denoted by W) and time (denoted by t) using this formula:
Unit of Work = 
Unit for Time = s
Therefore, the Unit of Power
An appropriate unit for power is:
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since the length of both legs of the right angle triangle are given, we would determine the hypotenuse, h by applying Pythagoras theorem which is expressed as
Hypotenuse² = one leg² + other leg²
Therefore,
h² = (3a)³ + (4a)³
h² = 27a³ + 64a³
h² = 91a³
Taking square root of both sides,
h = √91a³
The formula for determining the perimeter of a triangle is expressed as
Perimeter = a + b + c
a, b and c are the side length of the triangle. Therefore, the expression for the perimeter of the right angle triangle is
√91a³ + (3a)³ + (4a)³
= √91a³ + 91a³
