Answer:
a. 
b. 
Step-by-step explanation:
Volume of the container denotes its quantity. It is a three-dimensional space.
Let V denotes the volume of the container, h denotes the height of the container and r denotes the radius of the container.
a.
The total capacity of the container in terms of π is
<u />
b.
As the cylindrical container is four-fifths full of powder, so the volume of the powder in terms of π is
volume of the container i.e., 
Answer:
Step-by-step explanation:
(f-g)(x) = f(x)- g(x)
= 3x - 1 - ( x + 2)
=3x - 1 - x - 2
= 2x - 3
Answer:
the answer is -30.
Step-by-step explanation:
for each x-value, you will multiply it by -5 to get your y-value. i say this because if y-15 when x=-3, if you divide the x from y (so 15/-3) you get -5 which is the number in which y varies by. so you will take 6 and multiply it by -5 which gives you -30.
Answer:
40.
Step-by-step explanation:
That is 5 * 4 * 2
= 40 combinations of a set of bowl, cup and spoon.
Answer:
The value of DC is 66.34.
Step-by-step explanation:
The triangles ABC and DCA are right angled triangles.
The straight line AC is a bisector for angles C and A.
The measure of ∠C is 30°.
Then the measure of angles BCA and ACD will be 15° each.
The measure of angle DAB is 150°.
Then the measure of angles DAC and BAC will be 75° each.
Now consider the right angled triangle ABC.
The measure of side AC is:

Consider the right angled triangle DCA.
The angle DAC measure 75°.
Using the trigonometric identities compute the value of Perpendicular DC as follows:

Thus, the value of DC is 66.34.