Answer:

Step-by-step explanation:
we are given that

we want to figure out x
remember that,
In <u>unit</u><u> </u><u>circle</u> x coordinate is considered cos and y coordinate is considered sin
so in order to figure out x we should figure out the value of <u>cos</u> to do we can consider <u>Pythagoras</u><u> trig</u><u> </u><u>indentity</u>
given by

we are given sin=-√7/4 thus
substitute:

simplify square:

move left hand side expression to right hand side and change its sign:

simplify Substraction:

square root both sides:

since in unit circle cos is x and P belongs to Q:IV negative cos isn't applicable
hence,

the volume of cylinder is 3.14 r^2×h
Answer:
x=63
Step-by-step explanation:
The two interior angles add up the the exterior angle, so 51+x+12=2x. From there, solve to get x=63. Hope this helped!
Answer:
2 
Step-by-step explanation:
Change the mixed numbers to improper fractions
(
-
) +
← the LCM of 2 and 3 is 6
=
-
+ 
=
-
+ 
=
+ 
= 
= 
= 2 