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:
hypotenuse is 22.47 m
Step-by-step explanation:
The length of both legs of a right angle triangle are 8m and 21 m
We need to find the hypotenuse
To find hypotenuse we use Pythagorean theorem
Hypotenuse is AC and other two legs are AB and BC
Hypotenuse ^2 = 8^2 + 21^2
hypotenuse = 
= 
= 
= 22.47
So the length of the hypotenuse is 22.47 m
2y=1/2x+10
divide by two
y=1/4x+5
Answer:
The mean for Stem is 2.5
The mean for Leaf is 81.25
You need to subtract the bonus points form the final score: 91-4=87
