For #4, we know V = lwh
We have the values
5184 = 2(18)h
Solve for h
5184 = 36h
144 = h.
for # 3:
we know A = pi r^2
We have
A = 3.14 * 6^2
A = 3.14 * 36
A = 113.04
for #2:
We know C = 2pi *r
C = 2(3.14)(14)
C = 28(3.14)
C = 87.92
for #1:
C = 2pi * r
C = 2(3.14)(26.3/2)
C = 2(3.14)(13.15)
C = 26.3(3.14)
C = 82.582
12) LCM of 2 & 12 is 12
Answer: (F)
13) (25 x 8) x 4
Step 1: Order of operations do parenthesis first: (25 x 8) = 200
Step 2: Multiply: 200 x 4 = 800
Answer: 800
14) I would plug each value in to see which works
D) 10x + 5y = 10(6) + 5(9) = 60 + 45 = 105
Answer is (D)
15) 2 x 12 - 8 (divided by) 2^2
Exponent first: 2 x 12 - 8 divided by 4
Multiplication/ Division: 2 x 12 = 24 and -8 divided by 4 = -2
Add/Subtract: 24 - 2 = 22
Answer: (I)
To solve this, you need to isolate/get the variable "u" by itself in the inequality: u = unknown number
2u - 3 < 1 Add 3 on both sides
2u - 3 + 3 < 1 + 3
2u < 4 Divide 2 on both sides to get "u" by itself
u < 2 (u is any number less than 2)
When the inequality sign is >/< (greater than/less than), the dot/endpoint is an open/unfilled circle.
When the inequality sign is ≥/≤ (greater than or equal to/less than or equal to), the dot is a closed/filled circle.
u < 2
Start making a ray by placing an open circle on 2(click on the dot/endpoint to change it to be open if it isn't already), then have the ray point left where the numbers would be decreasing because "u" is any number less than 2. If you can place the end of the ray at the end of the number line.
Answer:
The area would be 314.16 mm squared
