Answer:
85
Step-by-step explanation:
Use the pythagorean theorem!
(think that is how you spell it )
Pythagorean theorem: a² + b² = c²
a and b are the numbers that you have in this example, c is the side you need!
75² + 40² = c²
5,625 + 1,600 = c²
7,225 = c²

(the square root and square cancel each other out)
85 = c
c = 85
Answer:
Check explanations for answer
Step-by-step explanation:
Here, we want to find out how Gerard came to the conclusion
For him to arrive at this conclusion, then we should consider the lengths given if they form a right triangle and are suitable for the building frame
From the lengths that we have
If we square the longest length, then the sum of the squares of the two other lengths should be the same as it is
This is in obedience to Pythagoras’ theorem
However, this does not hold
√(150)^2 is not equal to 8^2 + (√(95))^2)
and so since this does not work, then the triangle is not right-angled and cannot be use as the frame
Answer:
Step-by-step explanation:
PRQ is the right angle. It is the angle opposite a diameter which is 90 degrees.
PQR is an acute angle. I can make no other statement about it without one more piece of information.
Answer:
Step-by-step explanation: So there are 148 students total and we know the fifth graders filled up 12 rows and since each row has a number of 8 seats we should multiply 8 times 12, which is equal to 96. Now in order to find the number of rows needed for the fourth graders we should first, subtract 178 minus 96; that is equal to 82. Next, we should divide 82 by the number of seats in each row since what we are trying to find id the number of rows needed for the fourth graders. So, we should divide 82 by 8 which is equal to 10. 25.
The number of rows needed is 11 since all students need to have a seat; the answer cannot be 10 because that means a few students would not have a seat.