8(3)(12) is 288. 2(12)(4) is 96. 288/96 is 3. Answer is 3
Answer:
6.81m
Step-by-step explanation:
Using the formula for finding the length of am arc
L = theta/360° × 2πr
theta is the angle subtended by the drum in rotation
r is the radius of the drum
Given theta = 315.7°
r = 1.1m
Substituting the given values into the formula we have:
L = 315.7/360 × 2π(1.1)
L = 315.7/360 × 2.2π
L = 315.7/360 × 2.2(3.14)
L = 315.7/360 × 6.91
L = 6.81metres
Line of about 6.81metres will be wounded around the drum
Answer:
Step-by-step explanation:
(King of Diamonds) = 1/52
(A Heart) = 1/4
(Red Three) = 1/26
(Red Card) = 1/2
Answer:
the solution is x = 2 and y = 4 OR (2,4)
Step-by-step explanation:
From the question
Equation 1: 3x-2y= -2
Equation 2: 3x + y = 10
Subtract equation 1 from equation 2, that is
3x + y = 10 - (3x -2y = -2)
You get
3x - 3x + y - (-2y) = 10 - (-2)
0 + y + 2y = 10 + 2
3y = 12
Divide both sides by 3
∴ y = 12/3
y = 4
Substitute the value of y into equation 2 to get x
3x + y = 10
3x + 4 = 10
Then,
3x = 10 - 4
3x = 6
Divide both sides by 3
∴ x = 6/3
x = 2
Hence, the solution is x = 2 and y = 4
