<h2>
AREA</h2>
The formula for finding area of a square is:
In a square, all the sides are the same. Each side is 6 meters long. Plug in 6 to the formula.
Multiply:
The area of the square is 36 m²
<h2>PERIMETER</h2>
Perimeter is the distance around a shape. To find perimeter, you have to add all all the side lengths. The formula for finding perimeter is:
Remember that squares have 4 sides, and all length(s) and width(s) measure the same. The length and width measure the same. Plug in the numbers into the formula:
Simplify:
Add:
The perimeter of the square is 24 m
When squaring a number, you multiply the number by itself. Ex- 4squared would be 16. 4 x 4 = 16. Ex- 8squared would be 64.
8 x 8 = 64
Answer:the third option is correct
Step-by-step explanation:
The system of equations are
y = 2x^2 - 5x - 7 - - - - - - - - - - -1
y = 2x + 2 - - - - - - - - - - - - - 2
We would equate equation 1 and equation 2. It becomes
2x^2 - 5x - 7 = 2x + 2
2x^2 - 5x - 2x - 7 - 2 = 0
2x^2 - 7x - 9 = 0
We would find two numbers such that their sum or difference is -7x and their product is - 18x^2. The two numbers are 2x and - 9x. Therefore
2x^2 + 2x - 9x - 9 = 0
2x(x + 1) - 9(x + 1) = 0
2x - 9 = 0 or x + 1 = 0
2x = 9 or x = - 1
x = 9/2 = 4.5
Substituting x = 4.5 or x = -1 into equation 2, it becomes
y = 2 × 4.5 + 2 or y = 2 × - 1 + 2
y = 11 or y = 0
Therefore, the solutions are
(4.5, 11) (- 1, 0)
Answer:
1380 households in Gettysburg are likely interested in using lawn care services
Step-by-step explanation:
To solve this question, we find the sample proportion and estimate for the entire population.
Sample proportion of households in Gettysburg that are likely to be interested in using lawn care services?
92 of 92 + 51 + 17 = 160 households.
92/160 = 0.575
Based on his results, how many households in Gettysburg are likely interested in using lawn care services?
Sample proportion of 0.575.
For the entire population of 2400 households:
0.575*2400 = 1380
1380 households in Gettysburg are likely interested in using lawn care services
Answer:
a) 31.38%
b) 28.44%
c) 33.33%
d) 73.46%
e) 53.89%
Step-by-step explanation:
<h3>
(See picture attached for sub-totals)
</h3>
a) What is the probability of selecting a student whose favorite sport is skiing?
P = 171/545 = 0.3138 = 31.38%
b) What is the probability of selecting a 6th grade student?
P = 155/545 = 0.2844 = 28.44%
c) If the student selected is a 7th grade student, what is the probability that the student prefers ice-skating?
P = 70/210 = 0.3333 = 33.33%
d) If the student selected prefers snowboarding, what is the probability that the student is a 6th grade student?
P = 155/211 = 0.7346 = 73.46%
e) If the student selected is an 8th grade student, what is the probability that the student prefers skiing or ice-skating?
P = 180/(171+163) = 180/334 = 0.5389 = 53.89%
