Answer:
18.8 cubic inches
Step-by-step explanation:
✔️Amount of juice Cup B will hold than Cup A = Volume of cup B - volume of cup A
✔️Volume of Cup B = Volume of cylinder = πr²h
radius (r) = ½ of 2 = 1 in.
height (h) = 7 in.
Volume of cup B = π*1²*7 = 21.99 in.³
✔️Volume of Cup A = Volume of cone = ⅓πr²h
radius (r) = ½ of 2 = 1 in.
height (h) = 3 in.
Volume of cup B = ⅓*π*1²*3 = 3.14 in.³
✔️Amount of juice Cup B will hold than Cup A = 21.99 in.³ - 3.14 in.³ = 18.8 in.³ (nearest tenth)
Answer:

Step-by-step explanation:
We want to solve
, where
.
We rewrite in terms of sine and cosine.


Use the Pythagorean identity:
.




This is a quadratic equation in
.
By the quadratic formula, we have:




or 
or 
or 
When
, 
on the interval
.
When
,
is not defined because 
Answer:
-1/8
Step-by-step explanation:
Perpendicular slopes are negative reciprocals
The slope of y=8x+5 is 8, because it is in slope intercept form: y=mx+b form, where m is the slope.
Negative:
8/1--> -8/1
Reciprocal:
Flip the numerator and denominator
-8/1--> -1/8
So, the perpendicular slope of 8 is -1/8
5.24 x 5 = $26.2
5 Muffins would cost $26.2