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IceJOKER [234]
2 years ago
14

What is the volume of the shape?

Mathematics
1 answer:
rodikova [14]2 years ago
6 0

Answer:

volume: 1/3 a²h

= 1/3 ×2²x6

= 8 feet³

You might be interested in
What’s the answer?and how do you get it
Kay [80]

the solid is made up of 2 regular octagons, 8 sides, joined up by 8 rectangles, one on each side towards the other octagonal face.

from the figure, we can see that the apothem is 5 for the octagons, and since each side is 3 cm long, the perimeter of one octagon is 3*8 = 24.

the standing up sides are simply rectangles of 8x3.

if we can just get the area of all those ten figures, and sum them up, that'd be the area of the solid.

\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ a=5\\ p=24 \end{cases}\implies A=\cfrac{1}{2}(5)(24)\implies \stackrel{\textit{just for one octagon}}{A=60} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{two octagon's area}}{2(60)}~~+~~\stackrel{\textit{eight rectangle's area}}{8(3\cdot 8)}\implies 120+192\implies 312

7 0
3 years ago
By the end of Monday, a grocery distribution center has 240 cases of green beans in its warehouse. Every day, the center deliver
asambeis [7]
The answer is B.
Explanation:

240-18
= 222
222-18
= 204
204-18
= 186
6 0
3 years ago
Read 2 more answers
Luana bought a new phone and plan. She paid $175. after three months, She paid $295. after 6 months. Write an equation that mode
elixir [45]

Answer: Hence, our required model will be

C=40m+55

Explanation:

Since we have given that

Luana bought a new phone and

For 3 months, the amount she paid = $175

For 6 months, the amount she paid = $295

Now, we have to model an equation ,

Here, let cost be 'C' and

Let number of months be 'm'.

So, we will use the "equation of line" i.e. for two point slope form :

Here y represented by 'C' and x represented by 'm'

So,

C-C_0=\frac{295-175}{6-3}(m-m_0)\\\\C-175=\frac{120}{3}(m-3)\\\\C-175=40(m-3)\\\\C-175=40m-120\\\\C=40m-120+175\\\\C=40m+55

Hence, our required model will be

C=40m+55

6 0
2 years ago
What is the general form of the equation of the line shown?
Lyrx [107]

Answer:

  B)  x - y = 0

Step-by-step explanation:

The equation for the line shown is y=x. This can be written in general form by subtracting y:

  x - y = 0

_____

General form for the equation of a line is ...

  ax +by +c = 0

where a, b, c are preferred to be mutually prime integers and a ≥ 0. If a = 0, then b ≥ 0.

6 0
3 years ago
If f(x) = 8x2 − x3, find f'(2) and use it to find an equation of the tangent line to the curve y = 8x2 − x3 at the point (2, 24)
Ymorist [56]
Take derivitive to find slope
f'(x)=16x-3x^2

at x=2
f'(2)=16(2)-3(2)^2
f'(2)=32-3(4)
f'(2)=32-12
f'(2)=20

so the slope of f(x) at the point (2,24) is 20

use point slope form
the equation of a line that passes through the point (x_1,y_1) and has a slope of m is
y-y_1=m(x-x_1)
we are given that the slope is 20 and the point is (2,24)

the equation is
y-24=20(x-2)
simplify into different form yourself if needed
3 0
3 years ago
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