Step-by-step explanation:
The diameter of the circle is 4 inches so its radius r is 2 inches. The area of the circle is

The circumference C of the circle is

Answer: The answer is 81.
Answer:
(2, 6)
Step-by-step explanation:
Point G has a coordinate of x = 5, and y = 4, that is (5, 4).
If Lynn plots point G, such that:
G is 3 units to the left of point F, the x-coordinate of point G = 5 - 3 = 2
G is 2 units above point F, the y-coordinate of point G = 4 + 2 = 6.
Therefore, Lynn plotted point G at x = 2, and y = 6. Which is (2, 6)
I believe the answer is 2x+2y= 20-21 or 2x+2y= -1. Think about Standard Form= Ax+By= C
Answer:
- 892 lb (right)
- 653 lb (left)
Step-by-step explanation:
The weight is in equilibrium, so the net force on it is zero. If R and L represent the tensions in the Right and Left cables, respectively ...
Rcos(45°) +Lcos(75°) = 800
Rsin(45°) -Lsin(75°) = 0
Solving these equations by Cramer's Rule, we get ...
R = 800sin(75°)/(cos(75°)sin(45°) +cos(45°)sin(75°))
= 800sin(75°)/sin(120°) ≈ 892 . . . pounds
L = 800sin(45°)/sin(120°) ≈ 653 . . . pounds
The tension in the right cable is about 892 pounds; about 653 pounds in the left cable.
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This suggests a really simple generic solution. For angle α on the right and β on the left and weight w, the tensions (right, left) are ...
(right, left) = w/sin(α+β)×(sin(β), sin(α))