Answer: About 80 yards
Step-by-step explanation:
Answer: 85
Step-by-step explanation:
Writing an Equation
Find the length of each side and add them up to get the total perimeter.
We know that there are 6 sides, AB, BC, CD, DE, EF, and FA
We also know that AB = ED and BC = CD = EF = FA
So the total perimeter would be AB + BC + CD + DE + EF + FA = 2AB + 4BC
Finding length of AB
This line goes from (-2,2) to (2,2) so we can find the length by subtracting the x coordinates since the y coordinates are the same
AB = 2 - (-2) = 4
Finding length of BC
Using the Pythagorean Theorem, we can find the length of BC
This line goes from (2,2) to (3,0)
The vertical distance (a) is |0-2| = 2
The horizontal distance (b) is |3-2| = 1
So
Total length
Using the equation 2AB + 4BC to find the perimeter we get
=
=
=
Since is approximately 9, we'll substitute in 9 (assuming we don't have a calculator)
≃ 8 + 9
= 17 units
Converting units
Each unit is 5 yards, so use this ratio get the perimeter in yards
17 units * 5 = 85 yards
through Friday, she runs 1 1/2 miles in a park. The total distance she runs for the
week is 8 miles. Solve the equation m + 4(11/2) = 8 to find the number of miles, m,
Jessica runs on Monday. Explain your answer.
Please help me out on these two questions I’ve been stuck for about 15 minutes
Answer:
Step-by-step explanation:
The first question:
91 = 43 + x
x = 91 - 43
x = 48
By using transposing method
Second question:
Answer:
Step-by-step explanation:
Second Question : M+4(1 1/2)
= 4x 1 1/2
= 3/2 x 4/1 = 12/2 = 6
= M+6 = 8
= 2 + 6 = 8
M = 2
The positive difference between the square of the sum of the first five positive integers and the sum of the first five positive perfect squares is 170. This is obtained by taking the sum of first five numbers, squaring the sum and subtracting the sum of first five perfect squares.
The sum of first five positive integers = 1+2+3+4+5 = 15
Square of the sum of the first five positive integers = 15² = 225
The sum of the first five positive perfect squares =1²+2²+3²+4²+5²
=1+4+9+16+25
=55
The positive differenece = 225-55=170
Hence the positive difference between the square of the sum of the first five positive integers and the sum of the first five positive perfect squares is 170.
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Answer:
Step-by-step explanation:
The square of the sum of the first five positive integers:
(1 + 2 + 3 + 4 + 5)² = 15² = 225
The sum of the first positive perfect square:
1² + 2² + 3² + 4² + 5² = 1 + 4 + 9 + 16 + 25 = 55
225 - 55 = 200
Answer: to replace all of the drumsticks it would cost $24
Step-by-step explanation:
Answer:
4 x 2 =8 * $3 =$24
She has 8 drumsticks since she has 4 drum kits and each kit has 2 drum sticks you would do 4 x 2 which equals 8.
Since there are 8 drum sticks and each drum stick costs 3$ you would do 8 x3 which would sum up to 24.
Step-by-step explanation: