Answer:
area = 693
Step-by-step explanation:
The area of a quadrilateral can be found using the formula; base * height
It is given that the height is 33, the base is 21;
Multiply the two
21 *33 = 693
Answer: The volume is 288π .
Step-by-step explanation:
V= 4/3 *n*r^3
V = 4/3*n * 6^3
v=4/3 *n * 216
v= 288n
10x + 2y = -2
2y = -10x -2
y = -5x - 1 (slope is -5 and a parallel line will have the same slope)
y = mx + b
slope(m) = -5
12 = -5(0) + b
12 = 0 + b
12 = b
so the parallel line is y = -5x + 12
hope this helps, God bless!
Tons needed to unload a freight train= 21×2.5 =52.5
number of 3.5-ton payload trucks needed to unload a freight train=52.5÷3.5 = 15
15 Trucks , Each With A 3.5-Ton Payloaf , Would be Needed To Do The Same Job.
Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒ 
"The sum of the numbers is 43"
⇒ 
<u>2) Use substitution to solve for the smaller number</u>

Plug the equation
into the above equation

Subtract both sides by 7

Divide both sides by 3 to isolate x

Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>

Plug in x as 12

Subtract both sides by 12 to isolate y

Therefore, the greater number equates to 31.
I hope this helps!