The inverse of an implication p ⇒ q is ¬p ⇒ ¬q.
The converse of p ⇒ q is q ⇒ p.
The contrapositive of p ⇒ q is ¬q ⇒ ¬p.
Then
• the inverse of the inverse of p ⇒ q is p ⇒ q
• the inverse of the the converse of p ⇒ q is ¬q ⇒ ¬p
• the inverse of the contrapositive of p ⇒ q is q ⇒ p
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 )
You can determine the speed of the car since you have the distance in half an hour. You have distance and time, so you can find speed.
Hope this helped!
Good Luck!
Answer:
16.64645cm²
Step-by-step explanation:
All of the angles are equal: A = B = C = 180/3 = 60°.
All of the sides are equal: a = b = c.
h = 5 cm, sin60 = h/a = 5/a, a = 5/sin60 = 5.77 cm.
Area = 1/2bh = 1/2 x 5.77 x 5.77 = 33.2929/2 = 16.64645cm²
You could use the solution of 9/4 times 2
