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3 years ago

What is the volume of the prism?

Mathematics

1 answer:

AlexFokin [52]3 years ago

4 0

Answer:

V=lwh

Step-by-step explanation:

length times width times hight to get your answer

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Please look at the picture. Choices: A: 6 B: 10 C: 12 D: 14

tester [92]

This difference would be 45 - 39, or 6 pages.

6 0

3 years ago

You are designing a rectangular poster to contain 7575 in2 of printing with a 33-in margin at the top and bottom and a 11-in m

erma4kov [3.2K]

Answer:

The dimensions of the rectangular poster is 15 in by 5 in.

Step-by-step explanation:

Given that, the area of the rectangular poster is 75 in².

Let the length of the rectangular poster be x and the width of the rectangular poster be y.

The area of the poster = xy in².

$\therefore xy=75$

$\Rightarrow y=\frac{75}{x}$ ....(1)

1 in margin at each sides and 3 in margin at top and bottom.

Then the length of printing space is= (x-2.3) in

=(x-6) in

The width of printing space is = (y-2.1) in

=(y-2) in

The area of the printing space is A =(x-6)(y-2) in²

∴ A =(x-6)(y-2)

Putting the value of y

$\Rightarrow A =(x-6)(\frac{75}{x}-2)$

$\Rightarrow A = 87-\frac{450}{x}-2x$

Differentiating with respect to x

$A '= \frac{450}{x^2}-2$

Again differentiating with respect to x

$A''=-\frac{900}{x^3}$

To find the minimum area of printing space, we set A' = 0

$\therefore \frac{450}{x^2}-2=0$

$\Rightarrow 450 =2x^2$

$\Rightarrow x^2=225$

$\Rightarrow x=\pm 15$

Now putting x=±15 in A''

$A''|_{x=15}=-\frac{900}{15^3}$

$A''|_{x=-15}=-\frac{900}{(-15)^3}=\frac{900}{(15)^3}>0$

Since at x=15 , A"<0 Therefore at x=15 , the area will be minimize.

From (1) we get

$y=\frac{75}{x}$

Putting the value of x

$y=\frac{75}{15}$

=5 in

The dimensions of the rectangular poster is 15 in by 5 in.

4 0

3 years ago

What is the value of 1/4 to the power of 3

LenaWriter [7]

Answer:

1/64

Step-by-step explanation:

hope that helps

7 0

3 years ago

Which triangle congruence is this? SSS SAS AAS ASA HL

Tanzania [10]

Aas i belive . If not consult the other answer

6 0

3 years ago

Matt bought an iPod from the Apple Store for $350. If it's value will depreciate by $52 a year, how much should Matt sell his iP

Bogdan [553]

Decreasing by $52 every year, we need to subtract 52 for each year.

350 is the original price.
52x is the amount decreased by how many years

350 - 52(3) = ?
350-156 = 194

Answer: Matt should sell his iPod for $194 in 3 years

6 0

3 years ago

Read 2 more answers