Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan A = 
= 
= 
, then
∠ A = 
( ) ≈ 41° ( to the nearest degree )
The sum of the angles in the triangle = 180° , then
∠ B + 41° + 90° = 180°
∠ B + 131° = 180° ( subtract 131° from both sides )
∠ B = 49°
Using Pythagoras' identity in the right triangle
AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )
AB = 
≈ 10.6 ( to the nearest tenth )
Answer: 3550
Step-by-step explanation:
1.6L equals 1600mL
8700-1600=7100 remaining
7100 divided by 2 = 3550
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(15 qt/hr) x (1/4 gal/qt) x (1/60 hr/min) =
(15) / (4 x 60) = 0.0625 gal/min
Answer:
60
Step-by-step explanation:
<u>Step 1: Solve for x</u>
x + 3x + 2x = 180
6x / 6 = 180 / 6
x = 30
<u>Step 2: Find the measure of angle C</u>
Angle C = 2x
Angle C = 2(30)
Angle C = 60 degrees
Answer: 60
