8 C 3 = 8! / (3!(8 - 3)!) = 8! / (3! * 5!) = (8 * 7 * 6 * 5!) / (3! * 5!) = (8 * 7 * 6) / (6) = 56
<span>56 choices. </span>
It is given that
.
Now, know that in 180 degrees there are
radians. This can be written as:
radians
radians (dividing both sides by 180)
Thus, to find the measure of the given angle of
in radians, we will have to multiply the above equation by 135. Thus, we get:
radians
radians
Thus, equivalent to the radian measure of angle a is 2.356
Answer:
a.
x + y = 60
x = y + 30
b.
substitution:
(y + 30) = y = 60
2y + 30 = 60
2y = 30
y = 15
15 minutes for freehand
c.
No, because if he spends 40 minutes on the treadmill, he would have spent 10 minutes for freehand exercises. His total time in the gym would be 50 minutes, not 60.
Let
x----------------------- > number of <span>cans of fruit-----------------> 24 per minute
</span>y----------------------- > number of cans of vegetables-------> 64 per minute
<span>z----------------------- > number of cans of food per minute
t----------------------- > time in minutes
z=(x+y)*t
z=(24+64)*t--------------- > 88t
z=88t---------------------------------- > this is the equation required
we know that z=384
then
</span>384=88t------------- > t=4.36 minutes