a. 64,672.318
b. 65,000
c. 64,672.32
d. 64,672.319
Question:
A boy makes a cone of diameter 28 cm without a base. He then cuts a smaller cone of diameter 20 cm from the cone. He used the bottom part as a lampshade. If the height of the lampshade is 11cm,
(a) find the volume of the whole cone.
(b) find in cm2, the area of the material used to make the lampshade.
Answer:
(a) V ≈ 16420.1
(b) A ≈ 2690.1 cm²
Step-by-step explanation:
Solution for (a)
Formula: The formula for the volume of a cone is V = 1/3 hπr².
V= πr² h/3 = π × 28/ 2 × 20/ 3 ≈ 16420.0576
16420.0576 in nearest tenths is 16420.1
Therefore, the volume of the whole cone is 16420.1 cm²
Solution for (b)
Formula: A = πrl + πr2.
l = r² + h²
Solving for A
A = πr (r + h²+ r²) = π × 20 × (20 + 112 + 202) ≈ 2690.80077
2690.80077 In nearest tenths, is 2690.1
Therefore, the area of the material used to make the lampshade is 2690.1 cm²
Answer: y = 3x + 60
Step-by-step explanation:
Set up two equations and solve the system:
270 = 70x + b
- (150 = 30x + b)
120 = 40x
3 = x
Input "x" into one of the equations and solve for "b":
150 = 30x + b
150 = 30(3) + b
150 = 90 + b
60 = b
Equation: y = 3x + 60
This means that there is a flat fee of $60 plus a rate of $3 per student
The fixed rate of gym fee of $60 plus a rate of $3 per student.
The fixed-rate is;
Given
I rent a gym for $150.00 for 30 students.
Another time I rent the gym for $270.00 for 70 students.
A linear function is a function that forms a straight line in a graph.
Let x be the number of students and y be the total cost of renting the gym.
To find the fixed-rate let us write the equation of line representing the total cost of renting a gym for x students.
The equation representing a fixed rate is;
I rent a gym for $150.00 for 30 students.
Another time I rent the gym for $270.00 for 70 students.
Subtracting both the equations;
Substitute the value of x in equation 1
Therefore,
The fixed-rate is;
Hence, the fixed rate of gym fee of $60 plus a rate of $3 per student.'
To know more about linearfunction click the link given below.
Answer: The required general form of the given equation is
Step-by-step explanation: We are given to rewrite the following equation in general form :
We know that
the general form of a linear equation in two variables x and y is written as :
So, from equation (i0, we have
Thus, the required general form of the given equation is