Answer:
2 and 4
Step-by-step explanation:
Consider a perfect square smaller than 8 and a perfect square larger than 11
That is 4 and 16, then
< and < , that is
2 and 4
Part A.
Using the Pythagorean theorem,
PR² = PQ² +QR²
PR² = (14 ft)² +(6 ft)² = 196 ft² +36 ft² . . . . substitute the given numbers
PR² = 232 ft² . . . . . . . . . . . . . . . . . . . . . . . .find the sum
PR = √(232 ft²) ≈ 15.23 ft . . . . . . . . . . . . . take the square root
The length of rod PR is 15.23 ft.
Part B.
Using the Pythagorean theorem,
PR² = PQ² +QR²
(16 ft)² = (14 ft)² +QR² . . . . . . . substitute the given numbers
256 ft² -196 ft² = QR² . . . . . .. subtract 14²
60 ft² = QR² . . . . . . . . . . . . . . find the sum
√(60 ft²) = QR ≈ 7.75 ft . . . . . take the square root
The new height QR is about 7.75 ft.
Answer: A. 0 <------
Step-by-step explanation:
Law of Sines
sinA / a = sinB / b
sin31 / 10 = sinB/ 40
sinB = 40sin31 / 10
sinB = 2.060152299640217
Since 1 is the maximum for sin
the triangle does not exist
A. 0 <------