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 )
Formula for triangle perimeter is: a + b + c. In this scenario we have:
a = 3 feet 8 inches
b = 2 feet 10 inches
c = 4 feet
a + b + c =
= 3 ft + 8 in + 2 ft + 10 in + 4 ft =
= 9 ft + 18 in
We know that 1 foot is 12 inches, so we can simplify the result to this form:
10 ft + 6 in
or:
<u>10.5 feet</u>
5(4)+5x=60
x=8
x= number of pies the club made
Answer:
14x²-12y²
Step-by-step explanation:
You just add the values for volunteers that worked 16-20 hours and 21-25 hours which would be 50 + 10 = 60. So the total number of volunteers that workers more than 15 hours is 60.