Answer:
Step-by-step explanation:
1. Solution for 3(6a)a=3 equation:
Simplifying
3(6a) * a = 3
Remove parenthesis around (6a)
3 * 6a * a = 3
Multiply 3 * 6
18a * a = 3
Multiply a * a
18a2 = 3
Solving
18a2 = 3
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Divide each side by '18'.
a2 = 0.1666666667
Simplifying
a2 = 0.1666666667
Take the square root of each side:
a = {-0.408248291, 0.408248291}
2.Solution for 5d(4)d=-2 equation:
Simplifying
5d(4) * d = -2
Reorder the terms for easier multiplication:
5 * 4d * d = -2
Multiply 5 * 4
20d * d = -2
Multiply d * d
20d2 = -2
Solving
20d2 = -2
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Divide each side by '20'.
d2 = -0.1
Simplifying
d2 = -0.1
Reorder the terms:
0.1 + d2 = -0.1 + 0.1
Combine like terms: -0.1 + 0.1 = 0.0
0.1 + d2 = 0.0
Answer:
The velocity of the hail relative to the cyclist is 
The angle at which hailstones falling relative to the cyclist is 
Step-by-step explanation:
Given : On a cold day, hailstones fall with a velocity of
. If a cyclist travels through the hail at
.
To find : What is the velocity of the hail relative to the cyclist and At what angle are the hailstones falling relative to the cyclist?
Solution :
The velocity of the hailstone falls is 
The velocity of the cyclist travels through the hail is 
The velocity of the hail relative to the cyclist is given by,

Substitute the value in the formula,


So, The velocity of the hail relative to the cyclist is 
Now, The angle of hails falling relative to the cyclist is given by



So, The angle at which hailstones falling relative to the cyclist is 
Answer:
yes
Step-by-step explanation:
There are several different angles associated with circles. Perhaps the one that most immediately comes to mind is the central angle. It is the central angle's ability to sweep through an arc of 360 degrees that determines the number of degrees usually thought of as being contained by a circle.