Answer:
NO = 20
Step-by-step explanation:
If the pieces are in the ratio of 3:1:5 and the whole thing is 36, then set up an equation:
3x + 1x + 5x = 36
and solve, see image.
A set of equations is given below.
1 answer:
You might be interested in
The length of one side of the octagon is given by:
Then, the apothem can be determined using the Pythagorean theorem in the following way:
Clearing to have:
Then, the area is given by:
Where,
L: length of the octagon sides
a: apotema
Substituting values:
Answer:
the approximate length of the apothem is:
a = 10.91 feet
The approximate area of the floor of the gazebo is:
A = 392.76 feet ^ 2
Then, the apothem can be determined using the Pythagorean theorem in the following way:
Clearing to have:
Then, the area is given by:
Where,
L: length of the octagon sides
a: apotema
Substituting values:
Answer:
the approximate length of the apothem is:
a = 10.91 feet
The approximate area of the floor of the gazebo is:
A = 392.76 feet ^ 2
Answer:
The base of the triangle decreases at a rate of 2.262 centimeters per minute.
Step-by-step explanation:
From Geometry we understand that area of triangle is determined by the following expression:
(Eq. 1)
Where:
- Area of the triangle, measured in square centimeters.
- Base of the triangle, measured in centimeters.
- Height of the triangle, measured in centimeters.
By Differential Calculus we deduce an expression for the rate of change of the area in time:
(Eq. 2)
Where:
- Rate of change of area in time, measured in square centimeters per minute.
- Rate of change of base in time, measured in centimeters per minute.
- Rate of change of height in time, measured in centimeters per minute.
Now we clear the rate of change of base in time within (Eq, 2):
(Eq. 3)
The base of the triangle can be found clearing respective variable within (Eq. 1):
If we know that ,
,
and
, the rate of change of the base of the triangle in time is:
The base of the triangle decreases at a rate of 2.262 centimeters per minute.