A chef at a restaurant uses 12 pounds of butter each day about how many grams of butter does the chef use each day

Mathematics

1 answer:

8_murik_8 [283]3 years ago

5 0

5443.11 grams of butter

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A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?

Luden [163]

Given:

A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.

To find:

The volume of the figure.

Solution:

Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.

Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.

If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.

Volume of a cone is

$V=\dfrac{1}{3}\pi r^2h$

where, r is radius of the base and h is vertical height of the cone.

Putting r=6 and h=9, we get

$V=\dfrac{1}{3}\pi (6)^2(9)$

$V=\pi (36)(3)$

$V=108\pi$

Therefore, the volume of the figure is $108\pi$ sq. units.

7 0

3 years ago

. Al's Omelets Al's House of Eggs N'at makes omelets. Al begins each day with 150 eggs to make his famous Bestern Western Omelet

Dvinal [7]

At the beggin there are 150 eggs, after making 1 omeltet, there are 144 eggs, after the second omelet, there are 138 eggs, etc.

By the given statement you can notice that each omelet demands 6 eggs. Then, after making each omeltet Al has 6 eggs lower. This can wrtten numerically as follow:

150, 144, 138, 132, 126, 120,...

That is equivalent to:

150-6, 150-6-6, 150-6-6-6, 150-6-6-6-6, 126-6-6-6-6-6, ... , 150 - 6n

where n is the nth omelet made by counting from the begining of the day.

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1 year ago

Please help! picture attached :)

Radda [10]

Answer:

y=-3x+4

Step-by-step explanation:

im assuming that you need the equation of the table