All categories

2 years ago

Can someone help please

Mathematics

1 answer:

yanalaym [24]2 years ago

7 0

Step-by-step explanation:

a) The volume of the prism is

$V = (n^2 - 1)×(n^2 - 1)×(5n)$

$\:\:\:\:= (n^4 - 2n^2 + 1)(5n)$

$\:\:\:\:=5n^5 - 10n^3 + 5n$

b) If the dimensions L of the prism are tripled, the new volume will be

$V' = (3L)^3 = 27L^3 = 27V$

so it will increase by a factor of 27.

You might be interested in

Are the two triangles below similar?

forsale [732]

No would I be your answer, I think it would be number 1! :) hope this helped have a good day!

8 0

2 years ago

Read 2 more answers

What is the solution to question number 33?

Oksana_A [137]

If the width of the garden is w, then the maximum area available is a square, giving you w² as the dimensions. So:
w²=-w²+28w
2w²=28w
w=14
The perimeter is 14 x 4, or 56 feet
How many seed packets??? No idea
☺☺☺☺

7 0

2 years ago

Order these from least to greatest 3 39/40 , 3 19/20 , 3 1/2

Lera25 [3.4K]

Hey!

First change all the fractions so that they have a common denominator: 40

$3 \frac{39}{40} = 3 \frac{39}{40}$

$3 \frac{19 \times 2}{20 \times 2} = 3 \frac{38}{40}$

$3 \frac{1 \times 20}{2 \times 20} = 3 \frac{20}{40}$

Now order them:

$3 \frac{39}{40} , 3 \frac{19}{20} , 3 \frac{1}{2}$

Good luck and hope this helps! :)

3 0

3 years ago

Help I need this today

Nadusha1986 [10]

Answer:

x=70

y=75

Step-by-step explanation:

2x+x+5-35=180

3x-30=180

3x=210

x=70

2(70)-35=105

180-105=75

y=75

3 0

2 years ago

Please help with this question!! I need serious help!!

asambeis [7]

Answer:

<h2>The circumference is multipled by 4.</h2>

Step-by-step explanation:

The formula of an area of a circle"

$A=\pi r^2$

The formula of a circumference of a circle:

$C=2\pi r$

The area multipled by 16:

$16A=16\pi r^2\\\\16A=\pi(4^2r^2)\\\\16A=\pi(4r)^2$

The radius has increased fourfold, therefore:

$C'=2\pi(4r)=4(2\pi r)=4C$

The circumference is multipled by 4.

You can calculate the area and check the circumference:

$r=11.6\ in\\\\A=\pi(11.6)^2=132.56\pi\\\\16A=(16)(134.56\pi)=2152.96\pi\ in^2$

Calculate the radius:

$\pi r^2=2152.96\pi$ <em>divide both sides by π</em>

$r^2=2152.96\to r=\sqrt{2152.96}\\\\r=46.4\ in$

Calculate the circumference of both circles:

$r=11.6\ in\\\\C=2\pi(11.6)=23.2\pi\ in$

$r=46.4\ in\\\\C'=2\pi(46.4)=92.8\pi\ in$

$\dfrac{C'}{C}=\dfrac{92.8\pi}{23.2\pi}=4\to C'=4C$

5 0

2 years ago