Answer:
The linear speed in which Darlene is traveling is 24.74 miles per hour.
Step-by-step explanation:
The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed (
), measured in inches per second, is defined by following expression:
(1)
Where:
- Radius of the wheel, measured in inches.
- Angular speed, measured in radians per second.
If we know that 
and 
, then the linear speed, measured in miles per hour, in which Darlene is traveling is:
The linear speed in which Darlene is traveling is 24.74 miles per hour.
171/3 is 57. the three consecutive numbers are 56, 57 and 58.
244/4 is 61. the even integers are 58, 60, 62 and 64
Answer:
10
Step-by-step explanation:
Answer:
For part a)
130 = 10/2[2a+(10-1)d]
Simplify, u get
2a + 9d = 26.................(1)
Also U5 = a + (5-1)d = 3a
Simplify, u get
a= 2d...................(2)
Substituting for a in equation 1,
2(2d)+9d= 26
Solving for d, we get
d = 2
In part b) substituting for d in equation 2 to get the first term
a = 2(2) = 4
Part c) the no. of terms required can be obtained by solving
28 = 4+(n-1)2
n = 13
Answer:
Step-by-step explanation:
(2x−12)^2 can be factored into 2^2*(x - 6)^2, which in turn becomes
4(x^2 - 12x + 36). Yes, this is a special product of the form
(a - b)^2 = a^2 - 2ab + b^2.
