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2 years ago

In the base-ten number system, ten digits {0, 1, 2, 3, 4, 5, 7, 8, 9) are used for number

Mathematics

1 answer:

SVETLANKA909090 [29]2 years ago

6 0

Answer:

..............I think its wrong .......

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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

Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.

Amiraneli [1.4K]

Answer:

Letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.

Step-by-step explanation:

Since we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D, to determine in how many ways can this be done, if the order of the choices matters, and in how many ways can this be done, if the order of the choices does not matter, the following calculations must be performed:

If order matters =

(4 x 3 x 2 x 1) / 2 = X

24/2 = X

12 = X

If the order doesn't matter =

12/2 = X

6 = X

Therefore, letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.

3 0

3 years ago

Eric has been donating books he no longer needs to his local library. After 3 months of donating, he had 157 books left in his r

postnew [5]

To find the average number of books donated per month, we first get the total number of books that Eric has donated within the span of (8 - 3) = 5 months. Since from 157 books, there were only 102 books left after 5 months, that means he has donated (157 - 102) = 55 books. That means that he has donated 55 books within the span of 5 monhs. Thus, the average number of books would be equal to (number of books) / (number of months) = 55 / 5 = 11 books per month. <span>Answer: 11 books</span>

6 0

3 years ago

Read 2 more answers

According to a commercial, 4 out of 5 dentist recommend a certain brand of toothpaste. Suppose There are 120 dentist in your are

Genrish500 [490]

4/5 recommend, so about 4/5(120) = 96 doctors recommend the brand.

3 0

3 years ago

URGENT HELP !!!!!! answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!

anzhelika [568]

Answer:

(-2, -6)

Step-by-step explanation:

Slope: 1

5 0

3 years ago