I hope this helps you
PQ^2=9^2+14^2-2.9.14.cos20
PQ^2=81+196-236
PQ^2=41
PQ~6,4
Note that c is the hypotenuse of the blue triangle, and that the Pyth. Thm. states that (length of one leg)^2 + (length of the other leg)^2 = (hyp)^2.
Therefore, (hyp)^2 = c^2 = [2sqrt(x^2+3x)]^2 + 3^2, or
= 4(x^2+3x) + 9, or
= 4x^2 + 12x + 9 = (2x+3)^2
Taking the sqrt of both sides, c = plus or minus (2x+3). Eliminate -(2x+3) because the middle term of the square of this would be negative, in conflict with the given +12x.
c=2x+3 is the correct answer.
Answer:
In traffic, she drove for 3 hours
and After the traffic cleared she drove for 2 hours.
Explanation:
Given that the road trip was 136 miles;
The first part of the trip there was lots of traffic, she only averaged 16 mph;
The second part of the trip there was no traffic so she could drive 44 mph;
She traveled for a total of 5 hours;
let x represent the time in traffic when she traveled at 16 mph
the time the traffic is clear would be;
Recall that distance equals speed multiply by time;
substituting the values;
solving for x;
So;
Therefore, In traffic, she drove for 3 hours
and After the traffic cleared she drove for 2 hours.
To find volume of a rectangular prism, you simply need to multiply length times width times height. We know from the text that our block of ice is 3 meters long, 1.5 meters wide, and 2 meters high. So all we need to do is multiply:
3 * 1.5 = 4.5
4.5 * 2 = 9
The block of ice has a volume of 9 cubic meters.
Choice C is your correct answer.
Hope that helped! =)
