Answer:
Step-by-step explanation:
Given
radius of wheel 
Time period of Wheel 
and
, where 

Let at any angle
with vertical position of a point is given by


and 
for velocity differentiate x and y to get


Height at any time t is given by

Wow! There so much extra stuff on this drawing, naturally it's hard to see
what's going on.
First, do you remember "vertical angles" ? They're the pair of opposite angles
that form where lines cross, and they're equal.
-- It says that angle-1 is 55 degrees.
Angle-1 and angle-7 are vertical angles, so angle-7 is also 55 degrees.
-- It says that angle-4 is 60 degrees.
Angle-4 and angle-6 are vertical angles, so angle-6 is also 60 degrees.
Now you can forget about all that stuff that's outside of the triangle in the middle,
and just look at the triangle. They want you to find angle-10.
See the angles at the top of the triangle ... angle-7 and angle-6 ?
We know what both of those are. Angle-7 is 55 degrees, and angle-6 is 60 degrees.
Do you remember what the 3 angles inside a triangle always add up to ?
They always add up to 180 degrees.
Add angle-7 and angle-6 together . . . 55 + 60 = 115 degrees.
So angle-10 is just the rest of the 180 degrees inside the triangle.
Angle-10 = 180 - (115) = 65 degrees
It would actually be no solutions, since an equation can't have more than one equal sign xD
Answer:
, graph is there for reference.
Step-by-step explanation:
Given,
is the number of math problem Lucy solved.
is the number of pages she read.
She can do each math problem in
minutes, therefore she can solve
number of questions into
minutes.
She can read each page in
minutes, therefore she can read
pages in 2.5y minutes.
As per given detail,
equation 1.
And,
It is given that number of math problems Lucy solved is 3 times the number of pages she read.
equation 2.
We need to find
and
intercept of each of the equation to graph them.
For
put y=0
We will get 
Thus the point is 
Let us find
by assuming 
we get 
Thus the point is 
Join these two points.
Similarly considering the other equation 
Here x-intercept would be at
We will get 
Thus the point is 
Let us assume on more point, say
, we get 
Thus the point is 
Join these two points.
We will get a point of intersection at 
Thus
and 
- -5½
- -2
- -1
- -0.5
- 3/2
- 4 3/4
the biggest negative number should be last and the biggest whole number should be last