<span>So we want to know how much clay did Joseph add after he built the cone. So the formula for the volume of the cone is V=(1/3)*pi*r^2*h where r is the radius and h is height. We know h1=12cm and r1=6cm, r2=6cm and h2=18 cm. So to get the amount of added clay Va we simply subtract the volume of the clay of the first cone V1 from the volume of the second cone V2: Vd=V2-V1=(1/3)*pi*(r1^2)*h1 - (1/3)+pi*(r2^2)*h2. Va=678.24 cm^3-452.39 cm^3= 266.08 cm^3.</span>
Answer:
Apple = $0.6
Banana = $0.75
Step-by-step explanation:
Let us represent Apple by A and Banana by B
For Joe,
5A + 4B = 6 (1)
For Dawn
3A + 6B = 6.3 (2)
To eliminate A, Multiply equation (1) by 3 and equation (2) by 5
15A + 12B = 18 (3)
15A + 30B = 31.5 (4)
subtracting equation (4) from (3)
15A - 15A +12B - 30B = 18 - 31.5
-18B = -13.5
divide through by -18
-18B/-18 = -13.5/-18
B = 0.75
substitute 0.75 in equation (1)
5A + 4B = 6
5A + 4(0.75) = 6
5A + 3 = 6
subtract 3 from both sides
5A + 3 - 3 = 6 - 3
5A = 3
divide through by 5
5A/5 = 3/5
A = 0.6
Answer:
y = -2
Step-by-step explanation:
<u>SOLUTION :-</u>
Solve the equation.
- Add 8 to both sides in order to isolate the equation.
∴ y = -2
<u>VERIFICATION :-</u>
To verify the solution of y , just put the solution (y = -2) in place of y in equation and check whether L.H.S = R.H.S.
L.H.S :-
-2 - 8 = <u>-10</u>
R.H.S. :-
<u>-10</u> (already given)
⇒L.H.S. = R.H.S. (verified)
The answer is n>2. ......
The correct answer for 12 is B