Let's calculate the hypotenuse of this right triangle:
(Hypotenuse)² = 8² + 15² = 289, Hypotenuse = √289 = 17.
a) If Ф is facing the largest side (15), then sinФ = opposite side / hypotenuse
and sinФ = 15/17 = 0.8823
b) If Ф is facing the smallest side (8), then sinФ = opposite side / hypotenuse
and sinФ = 8/17 = 0.4705
Answer:
Step-by-step explanation:
we know that
The standard form of the quadratic equation is equal to 
we have
eliminate the parenthesis
group terms that contain the same variable
combine like terms
Do each prism seperately
(8x10x5)+(4x4x5)
(400)+(80)
480in^3
Answer:
D. 1800
Step-by-step explanation:
An overestimate is pretty self-explanatory, an amount bigger than what it's supposed to be.
Multiplying 22 * 68
1496
Rounding it will give you 1500, but the overestimate would be 1800. Because its a respected amount that is close to the answer of 22 * 68.
Answer:
24 minutes.
Step-by-step explanation:
This question shows up in a great many places in math or physics, so it is a pretty good question to learn how to do.
First you should note that answer will be under 40 minutes.
1/40 + 1/60 = 1/TimeTotal
The common denominator on the left is 120 minutes
3/40*3 + 2/60*2 = 1/timetotal
3/120 + 2/120 = 1/ timetotal
5/120 = 1/time total Now to use to the key stop
What you do now is you always turn the left side over. You do the same thing to total time.
120/5 = total time
24 = total time
What this means is that if you let both pipes run for 24 minutes, they will fill the tank working together.
