Answer:
∠ LMP = 77° , ∠ NMP = 103°
Step-by-step explanation:
The 2 angles on the straight line sum to 180° , that is
∠ LMP + ∠ NMP = 180 , substitute values
- 16x + 13 - 20x + 23 = 180 , that is
- 36x + 36 = 180 ( subtract 36 from both sides )
- 36x = 144 ( divide both sides by - 36 )
x = - 4
Then
∠ LMP = - 16x + 13 = - 16(- 4) + 13 = 64 + 13 = 77°
∠ NMP = - 20x + 23 = - 20(- 4) + 23 = 80 + 23 = 103°
Answer:
86
Step-by-step explanation:
32×4=128
128-42=86
Answer:
11253.76
Step-by-step explanation:
To find the volume of a cylinder we must utilise the volume of cylinder formula which is
→ Volume of cylinder = π × r² × h
Where 'r' is the radius and 'h' is the height so let's start substituting in the values,
→ Volume of cylinder = π × r² × h
⇒ Substitute in 3.14 for π, 14 for 'h' and 16 for 'r'
→ Volume of cylinder = 3.14 × 16² × 14
⇒ Simplify
→ Volume of cylinder = 11253.76
So a cylinder has a height of 14 millimetres and a radius of 16 millimetres has a volume of cylinder 11253.76 inches³
Answer:
<h2>At the 7th bounce, the ball reached 2.3 feet height.</h2>
Step-by-step explanation:
The given expression is
This exponential function represents the movement of a bouncing ball after being dropped.
represents the bounce number.
So, at 7th bounce means 
, replacing this value in the function, we have
Therefore, at the 7th bounce, the ball reached 2.3 feet height.
It could be x > 21 im not sure
