This is the concept of transformations, given that ABC was rotated it implies that it retained it's original dimensions. This means that ABC is proportional to EFD. Therefore, given that EF=4.2 cm, DF=3.6 cm and DE=4.5 cm. The CB=FD=3.6 cm
Answer:
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Step-by-step explanation:
Answer:
The radius of the gear is, 0.286624204 m
Step-by-step explanation:
A gear is driven by a chain that travels 90 m/min. If it makes 50 revolutions per minute. then find the radius of the gear
let angular velocity be 
, velocity be v and radius be r.
Given:
Angular velocity 
=50 revolutions per minute
1 revolution = 
radian
50 revolution= 
radian
therefore, 
radian per minute
and velocity(v) = 90 meter per minute
Use formula: Velocity(v)= radius(r) 
angular velocity
then, we write above formula as : 
Substitute the value of v and to solve for r: the constant value of pi i.e, 
[as radian is unit less]
Answer:
45
Step-by-step explanation:
A number consists of 2 digits whose sum is 9 => x + y = 9
If the order of the numbers is inverted, the result is equal to the given number plus 9 units => (10*y + x) + 9 = (10*x + y)
Thus:
x + y = 9 => multiply by -9 => 9*y + 9*x = 81
10*y + x + 9 = 10*x + y => 9*y - 9*x = -9
We are left then that:
9*y + 9*x = 81 (1)
9*y - 9*x = -9 (2)
we add both equations
18y = 72
y = 72/18 = 4
replacing
x + y = 9
x + 4 = 9
x = 5
Therefore the number is (10y + x) => (10 * 4 + 5) => 45
