Answer:
YES
Step-by-step explanation:
Explanation:
If this is a right triangle we can then substitute the sides of the triangle (12 and 35) and the hypotenuse (37) into the Pythagoras Theorem and the two sides of the equation will be equal. If this is not a right triangle the two sides of the equation will not be equal.
The Pythagoras Theorem is
a
2
+
b
2
=
c
2
Substituting we get:
12
2
+
35
2
=
37
2
12
⋅
12
+
35
⋅
35
=
37
⋅
37
144
+
1225
=
1369
1369
=
1369
Because these are equal this is a right triangle.
volume of pyramid = 1/3(area of the base)(height)
volume = 1/3(8x6)(9) = 3x48 = 144 in^3
answer: 144 in^3
Answer:
The answer is 8.30
Step-by-step explanation:
Using cos 41 = x/11
x = cos 41 × 11
x = 8.30
Answer:
Let's suppose that each person works at an hourly rate R.
Then if 4 people working 8 hours per day, a total of 15 days to complete the task, we can write this as:
4*R*(15*8 hours) = 1 task.
Whit this we can find the value of R.
R = 1 task/(4*15*8 h) = (1/480) task/hour.
a) Now suppose that we have 5 workers, and each one of them works 6 hours per day for a total of D days to complete the task, then we have the equation:
5*( (1/480) task/hour)*(D*6 hours) = 1 task.
We only need to isolate D, that is the number of days that will take the 5 workers to complete the task:
D = (1 task)/(5*6h*1/480 task/hour) = (1 task)/(30/480 taks) = 480/30 = 16
D = 16
Then the 5 workers working 6 hours per day, need 16 days to complete the job.
b) The assumption is that all workers work at the same rate R. If this was not the case (and each one worked at a different rate) we couldn't find the rate at which each worker completes the task (because we had not enough information), and then we would be incapable of completing the question.
Answer:
Change in percent = 56.75 (Approx.)
Step-by-step explanation:
Given:
Score in first game = 37 points
Score in second game = 58 points
Find:
Change in percent
Computation:
Change in percent = [(Score in second game - Score in first game)/Score in first game]100
Change in percent = [(58-37)/37]100
Change in percent = [(21)/37]100
Change in percent = 56.75 (Approx.)
