Answer:
A). PR = 16.13 ft
B). QR = 9.64 ft
Step-by-step explanation:
Part (A).
From the figure attached,
ΔPQR is a right triangle,
m(PQ) = 14 ft
m(QR) = 8 ft
By applying Pythagoras theorem,
Hypotenuse² = (Leg 1)² + (Leg 2)²
(PR)² = (PQ)² + (QR)²
(PR)² = (14)² + (8)²
PR = √260
= 16.125
≈ 16.13 ft
Part (B).
If PR = 17 feet
and PQ = 14 feet
By applying Pythagoras theorem in ΔPQR,
PR² = PQ² + QR²
(17)² = (14)² + (QR)²
(QR)² = 289 - 196
QR = √93
= 9.644
≈ 9.64 ft
Step-by-step explanation:
√3sinA-cosA=√2
dividing both side by (√3²-1²=2 we get)
√3/2 sinA-1/2.cos A=√2/2
cos 30sinA-sin30cosA=√2/(√2×√2)
sinAcos30-cosAsin30=1/√2
sin(A-30)=sin45,sin(180-45)
therefore
A-30=45,135
A=45+30=75 or A=135+30=165
33 = p -6.71
To solve for P, add 6.71 to each side:
p = 33 + 6.71
p = 39.71
The second choice is correct.
The fuel economy of the vehicle at 65 mph can be determined using the given equation. The fuel economy, y, can be solved by substituting the car's speed, x, to 65. Doing this, will result to y = 36.5988. Thus, the correct answer among the choices is that the fuel economy of the vehicle at 65 mph is about 37 mpg.
1 gallon = 4 quarts. its 84 x 4= amount in quarts.
84 x 4 = 336
336 quarts