Answer:
10 and 11
Step-by-step explanation:
Answer:
sin2A +cos2A=1. Its a standard identity.
We know that sinA= H B
--- and cos A=----
P H
Hence sin² A= P² B²
----- and cos²A -----
H² H²
Hence adding the above given functions sin²A+cos²A we get
H²
sin²A+cos²A = -------- =1
H²
Using P² +B²=H² by Pythagoras Theorem
First, let's find the x and y intercepts
In the first equation
y - 4x = -1
Put x =0
y= - 1
(0, -1)
Put y=0 and the n solve for x
0 - 4x = -1
-4x = -1
x=0.25
(0.25 , 0)
The points for the first equation is (0, -1 ) and (0.25, 0)
Next is to find the intercts for the second equation
y + x = 4
put x=0
y = 4
(0, 4)
Put y =0
0 + x = 4
x = 4
( 4, 0)
The points for the second equation are;
(0, 4) and (4, 0)
Below is the graph
Answer:
The linear speed of the bike is 19.242 miles per hour.
Step-by-step explanation:
If sliding between the bottom of the wheel and ground can be neglected, the motion of the wheel can be well described by rolling, which is a superposition of coplanar pure rotation and translation, The speed of the bike occurs at the center of the wheel, where resulting instantaneous motion is pure translation parallel to ground orientation. The magnitude of the speed of bike (), measured in inches per second, is:
Where:
- Radius, measured in inches.
- Angular speed, measured in radians per second.
Now, the angular speed must be converted from revolutions per minute into radians per second:
The speed of the bike is: ( and )
Lastly, the outcome is converted into miles per hour:
The linear speed of the bike is 19.242 miles per hour.
Answer:
V = 471 units^3
Step-by-step explanation:
V = bh
V = 5^2*3.14*6
V = 471 units^3