cos(37°15') = cos(37.25°) ≈ 0.7960
15' means 15/60 of a degree, or 0.25 degrees.
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Note: the calculator mode is set to <em>Degrees</em>.
Answer:
284.837734 ft^3 rounded up to 284.84 ft^3
Step-by-step explanation:
Cylinder Volume: pi*r^2h
pi*4^2*4=201.06193
Cone Volume: pi*r^2*(h/3)
pi*4^2*(5/3)=83.7758041
201.06193+83.7758041=284.837734
284.837734 ft^3
4 pm, who goes to soccer at 4 am
The complete question is
John and Matt are going to fill a pool with 2 different sized hoses. John can fill the pool in 5 hours, while Matt can complete it in 10 hours.How long will it take both to fill the pool? Explain each step in solving this equation.
we know that
<span>John can fill the pool in --------------> 5 hours
</span>therefore
<span>I calculate the amount of pool that John fills in one hour
</span>if John can fill 100% of the pool in----------------> 5 hours
X--------------------------------------> 1 hour
X=1/5=0.20 pool/hour
Matt can fill the pool in --------------> 10 hours
therefore
I calculate the amount of pool that Matt fills in one hour
if Matt can fill 100% of the pool in----------------> 10 hours
X--------------------------------------> 1 hour
X=1/10=0.10 pool/hour
<span>adding both amounts
(0.20+0.10)=0.30 -----------> 30% pool/hour
then
</span>if both can fills 30% of the pool in----------------> 1 hour
100%-------------------------------> X
X=100/30=3.33 hours----------> 3 hours + 19 minutes+ 48 sec
the answer is 3.33 hours (3 hours + 19 minutes+ 48 sec)
<span>The equation to determine the amount of pool filling (y) according to time (t) in hours is given by
</span><span>y=0.30*t
</span>
