Answer:
The answer is below
Step-by-step explanation:
The question is not complete. The complete question is:
The 12 foot long bed of a dump truck loaded with debris must rise an angle of 30 degrees before the debris will spill out. Approximately how high must the front of the bed rise for the debris to spill out.
Solution:
Let x be the height of the front of the bed rise needed to be raised for the debris to spill out. We can find x using trigonometric identities. That is:
sin θ = opposite / hypotenuse
Using trigonometric identities, we can get that:
sin(30) = x / 12
This gives:
0.5 = x / 12
Cross multiplying the terms to get:
x = 12 * 0.5
x = 6 ft
Therefore the front of the bed rise must be raised 6 ft for the debris to spill out.
Next time, please list the possible answer choices. Without them, all I can do is to attempt this problem without having those choices as guidelines.
I must assume that your expression x^4-5x+3/x^2+7 actually meant:
5x + 3
x^4 - ---------------
x^2 + 7
and I assume that this result was one of the several possible answer choices.
Answer:
y=2x-A
Step-by-step explanation:
8x + 7y = 19
- 8x
7y = 19 - 8x
÷ 7
y = 2 5/7 - 8/7x
So if that line is perpendicular to the line you're looking for, then the gradient (x value/slope) is the negative reciprocal to the gradient you're looking for, which would then be 7/8. You are told it has a y intercept of -7, so your final answer is:
y = -7/8x - 7
Hope this helps!
Answer:
38% probability that a randomly selected student is female or a physics major.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Desired outcomes:
Physics majors or female
10 physics majors(of which 3 are female).
12 female(the 3 female physics majors have already been counted, so we count 9)
Total outcomes:
50 students, so 
Probability
38% probability that a randomly selected student is female or a physics major.
