Answer:
a 26
b 8 2/3
Step-by-step explanation:
a) 4 1/3 * 6
Change the mixed number to an improper fraction
(3*4+1)/3 *6
13/3 *6
= 78/3
= 26
b) 2 3/5 * 3 1/3
Change the mixed numbers to improper fractions
(5*2+3)/5 * (3*3+1)/3
13/5 * 10/3
130/15
Top and bottom divide by 5
26/3
Change back to a mixed number
3 goes into 26 8 times (3*8 =24) with 2 left over
8 2/3
Answer:
19
/72
≈0.264
Step-by-step explanation:
1. y= 2r+5 2. $17 3. 5 rides
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))
