Step-by-step explanation:
Hangg on.
There is a square root of -14 & 84.
Answer: The slope is 1/4.
Step-by-step explanation:
To find the slope, find two points on the line and find the difference in their y coordinates and divide it by the difference in their x coordinates .
(0,20) and (40,30)
Difference in y: 30 - 20 = 10
Difference in x: 40 - 0 = 40
Slope: 10/ 40 = 1/4
Itd be $4.78
1200/251.2=4.77707006, rounded to the nearest cent would be $4.78 :)
The x coordinate of S will be 1/2 * 2a = a.
and since the half triangle is 30-60-90 the y coordinate will be sqrt3 a
so S is (a , sqrt3a)
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
