All cone-shaped cups have the same height in 8 inches. They just differ in their diameters. To solve for the volume of the regular and jumbo sizes, let's use the formula for the volume of cone
V = (1/3)*pi*(r^2)*h
r is just the half of the diameter, h is the height which is equal to 8
Regular size:
V = (1/3)*pi*((4/2)^2)*8
V = 33.5 cube inches
Jumbo size:
V = (1/3)*pi*((8/2)^2)*8
V = 134.0 cube inches
Answer:
482 km
63.94 degrees
Step-by-step explanation:
to solve this question we will use the cosine rule. For starters, draw your diagram. From point A, up north is 500km and 060 from there, another 300. If you join the point from the road junction back to the starting point, yoou have a triangle.
Cosine rule states that
C =
where both A and B are the given distances, 500 and 300 respectively, C is the 3rd distance we're looking for and c is the given angle, 060
solving now, we have
C =
C =
C =
C =
C =
C = 482 km
The bearing can be gotten by using the Sine Rule.
=
sina/500 = sin60/482
482 sina = 500 sin60
sina =
sina = 0.8983
a = sin^-1(0.8983)
a = 63.94 degrees
The answer on the picture is right
Answer:
x = 2
4 (x + 6) - 3x = 26
solve the parenthesis
4x + 24 - 3x = 26
subtract 24 from both sides to get x by itself
4x - 3x = 2
solve
x = 2