Answer: -240 = -4π / 3, 60 = π / 3, 270 = 3π / 2, 945 = 21π / 4, -30 = -π / 60, 195 = 13π / 12
Step-by-step explanation:
The formula for converting <em>Degrees </em>into <em>Radians </em>is <em>Degrees </em>* (π / 180) = <em>Radians</em>.
For -240, we have -240 * (π / 180) = -240π / 180 and simplifying gives us -4π / 3
60: 60 * (π / 180) = 60π / 180 = π/3
270: 270 * (π / 180) = 270π / 180 = 3π / 2
945: 945 * (π / 180) = 945π / 180 = 21π / 4
-30: -30 * (π / 180) = -30π / 180 = π / 60
195: 195 * (π / 180) = 195π / 180 = 13π / 12
Marks UP the price by 30%.
There's two ways:
30% of $22, plus $22.
OR
130% of $22.
To save time, 130% of 22.
130/100 x 22
= 13/10 x 22
=13/5 x 11
=143/5
= 28.6
$28.6
Hope this helps!
The correct factorization is
2(x-2)²
Answer:
4:1
Step-by-step explanation:
just divide by 2
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