Explain how you can use a multiplication equation to find 36÷6
1 answer:
You might be interested in
Algebraic expression is the expression which consist the variables, coefficients and the constants. The expression for the condition given in the problem is .
Given information
A cab driver is paid $6 plus $0.45 per mile driven.
Total number of total miles is <em>m.</em>
<h3>Algebraic expression</h3>Algebraic expression is the expression which consist the variables, coefficients and the constants. The algebraic expression are used to solve the condition based problems by expressing them into the algebraic form.
As the cab driver is paid $6 as the fixed amount of the taxi irrespective to the mile driven. Thus this is independent to the other variables and written as the constant in the expression.
As the total miles driven by the cab driver is<em> m</em>. The cost of the per mile driven the car is $0.45. Thus the expression for this condition can be given as,
Hence, the expression for the condition given in the problem is .
Learn more about the algebraic expression here;
The Halloween conical hat, with given height, circular base and brim
extension has the following calculated parameters;
Part a. The slant height is <u>18.2 inches</u>
Part b. The volume of the cone is in.³
Part c. The area of the brim, <em>A</em> = <u>36·π in.²</u>
Part d. The area of the brim is found by <u>subtracting the area of the base of the cone from the area covered by the perimeter of the brim</u>
Reasons:
Known parameters;
Height of the conical portion, h = 18 inches
Base circumference, C = 5·π inches
Part a. Slant height of the conical portion; Required
Solution:
The circumference of a circle, C = 2·π·r
Therefore;
Which gives;
Radius, r = 2.5 inches
According to Pythagoras's theorem, we have; s² = r² + h²
Where;
s = The slant height of the cone
s² = 2.5² + 18² = 330.25
s = √(330.25) ≈ 18.2
- The slant height, <em>s</em> ≈ <u>18.2 inches</u>
Part b. The measure in cubic inches of candy that exactly fills the conical portion of the hat is the volume of the cone.
Therefore;
- The volume of the cone, V =
·π in.³
Part c. The extension of the brim from the base of the cone = 4 inches
The radius of the brim, R = Radius of the base of the cone + 4 inches
∴ <em>R</em> = 2.5 inches + 4 inches = 6.5 inches
Area of the brim, <em>A</em> = Area of the 6.5 inch circle - Area of the circular base of the cone
∴ A = π × 6.5² - π × 2.5² = 36·π
- The area of the brim, <em>A</em> = <u>36·π in.²</u>
Part d. The procedure for solving the question in part c, is described as follows;
- The area of the brim can be found by finding the entire area of the circle formed by the perimeter of the brim, then subtracting the area of the base of the cone from that area.
Learn more here: