Answer:
82
Step-by-step explanation:
2×m²+10
m²= -6×-6=36
36×2=72+10=82
Answer:
(1) 2π - x² = 0 (2) x = 2.5 cm (3) perimeter = 10 cm
Step-by-step explanation:
(1)The area of the circular coin without the inner square removed is πr² where r = 3 cm is the radius of the coin. So, the area of the coin without the inner square removed is πr² = π(3 cm)² = 9π cm²
The area of the square of x sides removed from its center is x².
The area A of the each face of the coin is thus A = 9π - x²
Since the area of each face of the coin A = 7π cm²,
then
7π = 9π - x²
9π - 7π - x² = 0
2π - x² = 0
(2) Solve the equation 2π - x² = 0
2π - x² = 0
x² = 2π
x = ±√(2π)
x = ± 2.51 cm
Since x cannot be negative, we take the positive answer.
So, x = 2.51 cm
≅ 2.5 cm
(3) Find the perimeter of the square
The perimeter of the square, p is given by p = 4x
p = 4 × 2.51 cm
= 10.04 cm
≅ 10 cm
Answer: yes because you can open the door more and the tables isn’t that big
Step-by-step explanation:
Answer:
Position function is 
Step-by-step explanation:
Given 
, since velocity is the antiderivative of acceleration, then 
.
Also, since position is the antiderivative of velocity, then .
150mi/3hrs = 50mph
400/50 = 8 hours
Check:
8hours * 50mi = 400 miles traveled
