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AnnZ [28]
1 year ago
5

How to find volume of a prism

Mathematics
1 answer:
docker41 [41]1 year ago
5 0

Answer:

- HOW TO FIND VOLUME OF PRISM -

1st step - Write the formula for finding the volume of a regular pentagonal prism. The formula is V = [1/2 x 5 x side x apothem] x height of the prism.

2nd step - Find the area of the pentagonal base face. Let's say the length of a side is 6 cm and the length of the apothem is 7 cm.

3rd step - Find the height. Let's say the height of the shape is 10 cm.

4th step - Multiply the area of the pentagonal base face times the height. ...

and last step - State your answer in cubic units.

Step-by-step explanation:

:):):)

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How do I reflect a triangle?
Sever21 [200]

Answer:

How to reflect a triangle around the line y=x

Step-by-step explanation:

5 0
3 years ago
Is the answer for number 3 solution or open sentence?
Katen [24]
I believe it's a solution
6 0
3 years ago
F(x)=-1/2(x-2)^2-4 <br> Graph the function
telo118 [61]

Answer:

  see below

Step-by-step explanation:

The function is written in vertex form. It has a negative vertical scale factor, so you know ...

  • the vertex is (2, -4)
  • the vertical scale factor is 1/2
  • the parabola opens downward

Vertex form is ...

  f(x) = a(x -h)^2 +k . . . . . . . . . . vertical scale factor "a", vertex (h, k)

__

Since you know the vertex and scale factor, you can plot some points on the graph. I find it convenient to think in terms of units either side of the vertex. These are values of x that would make (x-2)^2 be 1^2, 2^2, 3^2, 4^2 and so on. The vertical scale factor of -1/2 tells you that the y-differences for these points will be -1/2, -4/2, -9/2, -16/2 from the vertex. Then we have ...

  vertex: (2, -4)

  1 unit either side of the vertex: (1, -4.5), (3, -4.5)

  2 units either side of the vertex: (0, -6), (4, -6)

  3 units either side of the vertex: (-1, -8.5), (5, -8.5)

  4 units either side of the vertex: (-2, -12), (6, -12)

You can plot these points and draw a smooth curve through them. Or, you can let a graphing calculator do it. The result will be similar to that shown below.

6 0
3 years ago
Please find the fully simplified intercept form!!!! Will mark Brianliest !!!!!!!!!!!
photoshop1234 [79]

Answer:

  • y = -1/3x  - 8

Step-by-step explanation:

<u>Slope intercept form:</u>

  • y = mx + b

<u>Use two points from the graph:</u>

  • (0, -8) and (3, -9)

<u>The first point is the y-intercept: </u>

  • b = -8

<u>Find the slope using the slope formula:</u>

  • m = (y2 - y1)/(x2 - x1)
  • m = (-9 - (-8))/3 = -1/3

<u>The equation is:</u>

  • y = -1/3x  - 8
7 0
3 years ago
The sum of a two digit number and the number obtained by interchanging the digits is 132. If the two digits differ by 2, find th
damaskus [11]

Answer:

A two-digit number can be written as:

a*10 + b*1

Where a and b are single-digit numbers, and a ≠ 0.

We know that:

"The sum of a two-digit number and the number obtained by interchanging the digits is 132."

then:

a*10 + b*1 + (b*10 + a*1) = 132

And we also know that the digits differ by 2.

then:

a = b + 2

or

a =  b - 2

So let's solve this:

We start with the equation:

a*10 + b*1 + (b*10 + a*1) = 132

(a*10 + a) + (b*10 + b) = 132

a*11 + b*11 = 132

(a + b)*11 = 132

(a + b) = 132/11 = 12

Then:

a + b = 12

And remember that:

a = b + 2

or

a = b - 2

Then if we select the first one, we get:

a + b = 12

(b + 2) + b = 12

2*b + 2 = 12

2*b = 12 -2 = 10

b = 10/2 = 5

b = 5

then a = b + 2= 5 + 2 = 7

The number is 75.

And if we selected:

a = b - 2, we would get the number 57.

Both are valid solutions because we are changing the order of the digits, so is the same:

75 + 57

than

57 + 75.

6 0
3 years ago
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