Answer:
9.08 hours
Step-by-step explanation:
in order to fill 1 pool
fill rate by pipe = 1 pool / 15 hours = 1/15 pool per hour
fill rate by hose = 1 pool / 23 hours = 1/23 pool per hour
combined rate = fill rate by pipe + fill rate by pool
= 1/15 + 1/23 = 38/345 pool per hour
since:
38/345 pool -----------> will take 1 hour
1 pool --------------------> will take 1 hour x (345/38) = 9.08 hours
Answer
Explanation: To solve this question we will just need to consider some rules as represented below
Step 1: Once we understand both rules above we can use them to simplify our equation as follows
Final answer: So the final answer is
.
Answer:
Point Form: (
−
2 , 0, 4
) Equation Form: x = −
2
, y = 0
, z = 4
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
See below.
Step-by-step explanation:
7.)
Supplementary angles add up to 180°. ∠B's supplement is 22°. This means ∠B is 158°. Since ∠A ≅ ∠B, the m∠A = 158°.
8.)
Again, supplementary angles add up to 180°. ∠P is a right angle meaning it is 90°. Therefore, the m∠Q is 90° as well.
9.)
Complementary angles add up to 90°. In order for ∠S and ∠T to be complementary, they both need to angle measurements less than 90° meaning they both need to be acute angles.
Now that we know that ∠T is acute, the only way ∠U can be its supplement is if it has an angle measure greater than 90°. Therefore, ∠U is an obtuse angle.
10.)
Similar to question 9, if an angle is obtuse, its supplement must be an acute angle.
So you have to find the volume of the tank, and the volume of the pyramid. Then subtract the volume of the pyramid from that out of the tank. The formula for pyramid is v = lwh/3. For the tank (which is a cube in this case) It's any given side cubed.
40*30*30 = 3600/3=1200cm cubed
40^3 = 6400cm cubed
6400-1200=5200cm^3 of water
(If you don't get this answer then I may have made a calculation error as I did this quickly in my head, just check my answer and yours to see)