Answer:
D
Step-by-step explanation:
Calculate the length using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = C(3, - 2) and (x₂, y₂ ) = D(7, - 8)
CD = 
= 
= 
= 
≈ 7.2 → D
The volume of the tank is 1570 cubic meters
<h3>How to determine the volume</h3>
The formula for determining the volume of a cylinder is expressed as;
Volume = πr²h
Where;
- radius is 10 meters
- height is 5 meters
- pi = 3. 14
Now, let's substitute into the formula;
Volume = 3. 14 × 10² × 5
Volume = 3. 14 × 100 × 5
Multiply through
Volume = 1570 cubic meters
Thus, the volume of the tank is 1570 cubic meters
Learn more about volume here:
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Answer:
$289.25
Step-by-step explanation:
First we should find out how much Ms. Maple would make in a week without overtime.
6.5 x 40 = 260
Now, let's figure out how much she makes per hour in overtime.
6.5 x 1.5 = 9.75
Now add up the hours of overtime.
9.75 x 3 = 29.25
Now we add the weekly wage to the overtime
260 + 29.25 = 289.25
For 40 hours of regular time at $6.50/hr and 3 hours of overtime at $9.75/hr, Ms. Maple will make $289.25 for the week.
Step-by-step explanation:
(f+g)(x) ➡ f(x) + g(x) ➡ 6x^2 + 2x -7 + 4x - 3 =6x^2 + 6x - 10
(f-g)(x) ➡ f(x) - g(x) ➡ 6x^2 + 2x - 7 -4x + 3 = 6x^2 -2x -4
75x + 90(15-x)=88(15)
75x+1350-90x = 1320
-15x + 1350 = 1320
-15x= -30
x=2
the amount of 75 octane is 2 gallons
the amount of 90 octane is 13 gallons
Hope this helps.
