Answer:
82 .
Step-by-step explanation:
9x 10 = 90 then 90-8 = 82 that how many spaces are filled .
Answer:
200,000
Step-by-step explanation:
The number Evan could be thinking about is 200,000. I got this number because the value of the digit 2 in the number 328,907 is 20,000. Also, the number Evan is thinking about is 10 times the value of 20,000. So, I did 20,000 times 10 and got 200,000.
Answer:
20 sets
Step-by-step explanation:
320/16=20
He needs 320 ping pong balls, and he has 16, so divide the amount needed by the amount that comes in each containter.
Answer:
x=10
Step-by-step explanation:
1. Subtract -3x from both sides of equation
2. Subtract 3 from both sides of equation
3. Divide both sides by 2
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.
_____
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))
