Answer: x<16
Step-by-step explanation: Mason subtracted 5 from 11 and got 6, when he really should have added 5 to 11 to get x<16.
4.7244m
convert feet to inches using 1 foot = 12 inches
15.5 feet = 15.5 × 12 = 186 inches
multiply this by 2.54 to convert to cm
186 inches = 186 × 2.54 = 472.44 cm
now 1m = 100cm
divide 472.44 by 100 to convert to m
472.44 ÷ 100 =4.7244m
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:
The dot all the way on the left. The one between 2 and 3 I believe.
Step-by-step explanation:
For the 51-deg angle, y is the opposite leg, and 12 is the hypotenuse.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.
sin A = opp/hyp
sin 51 deg = y/12
y = 12 * sin 51 deg
y = 9.3
