Can't see the figure, but the basic way to solve this problem is to use the formula for volume of a pyramid which is (length * width * height )/3. Slant height is just the square root of ((length/2)2 + height2) recognizing that there is a right triangle there. Since slant height increased by 4 cm when its height increased by 2cm, you know that the length/2 term had to increase by the square root of 12 (22+root(12)2) = 42=16. From there you can figure out the rest pretty readily.
Answer:
(n + 4)(n+ 22)
Step-by-step explanation:
One way to determine which factored expression is accurate is by asking the question: "Which two numbers multiply to 88, but add to 26?" If you are having difficulty using this method, you can always try the guess-and-check method with a multiple choice question. This way involves multiplying the terms inside one set of parentheses with the terms inside the other set of parentheses.
Step #1: Multiply the first terms
(n + 4)(n + 22) ----> n x n = n²
Step #2: Multiply the inside terms
(n + 4)(n + 22) -----> 4 x n = 4n
Step #3: Multiply the outside terms
(n + 4)(n + 22) -----> n x 22 = 22n
Step #4: Multiply the last terms
(n + 4)(n + 22) -----> 4 x 22 = 88
Step #5: Write the new expanded equation and simplify
(n + 4)(n + 22) -----> n² + 4n + 22n + 88 -----> n² + 26n + 88
The answer is 37/6 or by decimal form 6.16
First you subtract double the registration fee from the total and then divide by 24
You get 500-50= 450
450/24=18.75
Hope this helped
