Answer:
229.2
Step-by-step explanation:
Remark
There's a lot in this question. The x is not just any x. It is defined and limited by its relationship with the sine function.
The Sin is defined as Opposite over Hypotenuse in a right triangle. The 670 is the Hypotenuse. You know that by the definition of Sine.
So one thing you should always keep in mind: the x because of where it is in the definition, will always be smaller than the Hypotenuse. So you should get a value less than 670.
Formula
Just as you have it
Sin(20) = x / 670
Solution
Multiply both sides by 570
670 * sin(20) = x
sin(20) = 0.3420
x = 670 * 0.3420
x = 229.2
E + 10 = P
(P + 5) = 2(E +5)
E = P -10
P + 5 = 2((P-10)+5)
P + 5 = 2P -20 + 10
P + 5 =2P - 10
-P = -15
P = 15
Answer:
5/8
Step-by-step explanation:
So, if we add 7 + 12, then it seems that 19 of the 24 students play one of the two sports. But there are 4 students that play both, so we must account for that.
To get the actual number of students that play sports, we must subtract 4 from 19.
19 - 4 = 15
So now we know that 15 out of the 24 students play sports.
We can divide 15 and 24 by 3 to find the simplified fraction.
15 / 3 = 5 24 / 3 = 8
So 5 out of every 8 students plays one of these sports, which means that the probability of picking one of these students is 5/8!