Answer:
20 cm² & 80 cm²
Step-by-step explanation:
Ratio of areas = (ratio of sides)²
Ratio of sides: 2/4 = ½
Ratio of areas: (½)² = ¼
Areas are:
⅕(100) = 20
⅘(100) = 80
Answer:
x=4
Step-by-step explanation:
2(3x+1)=4x+5(x-2)
distribute 2 through the parentheses:
6x+2=4x+5(x-2)
distribute the 5 through the parentheses:
6x+2=4x+5x-10
Collect like terms:
6x+2=9x-10
Move the variable to the left-hand side and change its sign:
6x-9x=2=-10
Move the constant to the right-hand side and change its sign:
6x-9x=-10-2
Collect like terms:
-3x=-10-2
-3x=-12
Divide -3 on both sides to get x alone:
x=4
Hope this helped!! :)
Answer:
4
Step-by-step explanation:
The two gears are shown n the diagram below.
ω₁ and ω₂ are the angular velocities of the larger and smaller gears respectively.
Part 1.
When the smaller gear makes one revolution, it turns through an angle of 2π radians or 360°.
Because the gears do not slip, the larger gear turns through an angle of θ, so that
(θ radians)*(8 in) = (2π radians)*(2 in)
or
8θ = 4π
θ = π/2 radians = 90°
Answer: 90.0°
Part 2.
When the larger gear makes one revolution, it turns through an angle of 2π radians.
Because the gears do not slip, the smaller gear turns through an angle φ, such that
(2 in)*(φ radians) = (8 in)*(2π radians)
or
2φ = 16π
φ = 8π radians
= (8π radians)*(1/2π rotations/radian)
= 4 rotations
Answer: 4 rotations
Answer:
U should start cooking at 11:39
Step-by-step explanation:
It would take 5 hours and 6 minutes to cook all of the ham