3 years ago

What is the product of (3a + 2)(4a2 - 2a + 9)?

Mathematics

1 answer:

baherus [9]3 years ago

7 0

The answer is 12a3 + 2a + 23a + 18

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What is the volume of a prism if the area of its cross-section is 2 m² and its length is 7 m?

DerKrebs [107]

Answer:

14m^3

Step-by-step explanation:

Volume of the prism = base area * height

Given

Area of the cross section = 2m^2

Length = 7m

Substitute

Volume of the prism = 2 * 7

Volume of the prism = 14m^3

Hence the volume of the prism is 14m^3

5 0

3 years ago

How many fives makes 6 tens

katen-ka-za [31]

Answer:

12.

Step-by-step explanation:

6x10 = 60.

60 divided by 12 =5.

6 0

3 years ago

Read 2 more answers

A right cylinder is inscribed in a sphere of radius r. How do you find the largest possible volume of such a cylinder?

satela [25.4K]

Answer:

Step-by-step explanation:

Suppose Radius of sphere is R and cylinder inscribed inside the sphere is r with height h

using Pythagoras theorem in shown triangle

$R^2=r^2+(\frac{h}{2})^2$

$r^2=R^2-(\frac{h}{2})^2$

Volume of cylinder is

$V=\pi \times r^2\times h$

$V=\pi \times (R^2-(\frac{h}{2})^2)\times h$

$V=\pi (R^2\cdot h-\frac{h^3}{4})$

differentiate V w.r.t to h we get

$\frac{\mathrm{d} V}{\mathrm{d} h}=\pi (R^2-\frac{3h^2}{4})$

Putting $\frac{\mathrm{d} V}{\mathrm{d} h}$ to get maxima/minima

$R^2=\frac{3h^2}{4}$

$h=\frac{2R}{\sqrt{3}}$

therefore radius r is given by

$r=\sqrt{\frac{2R}{3}}$

therefore volume is given by

$V=\frac{4}{3\sqrt{3}}\pi R^3$

5 0

3 years ago

Elijah and Angelina are playing a game that has two piles of cards. Each of the 12 cards in one pile lists one month of the year

ch4aika [34]

There are 3 of 12 in one pile and 2 of 7 un the other
so 3/12=1/4 and 1/4(2/7)= 2/28=1/14
the answer is b 1/14

5 0

3 years ago

In Mrs. Kelly's class, 1/5 of the students failed the math test. Of the remaining students in the class, 1/4 scored an A. What f

masya89 [10]

Answer:
11/20

Explanation:
1/5 + 1/4
= 4/20 + 5/20
= 9/20

20/20 - 9/20 = 11/20

5 0

3 years ago