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Annette [7]
2 years ago
9

the dimensions of a triangular prism are shown in the diagram.What is the volume of the triangular prism in cubic centimeters

Mathematics
1 answer:
bonufazy [111]2 years ago
7 0

Answer:

Answer:

1632 cm³

Step-by-step explanation:

½(12×8)×34

= 1632

Step-by-step explanation:

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The diagram shows a circular pond, of radius r metres, surrounded by a circular path.The circular path has a constant width of 1
Alenkasestr [34]

The formula for calculating the area of a circle is expressed as;

A = πr²

  • Area of the pond = πr²
  • Area of the path = Area of the path + pond - area of pond
  • Area of path = π(r+1.5)² - πr²

Since the  area of the path is equal to the area of the pond, hence;

π(r+1.5)² - πr² = πr²

Add πr² to both sides

π(r+1.5)² - πr² + πr² =  πr² + πr²

π(r+1.5)² = 2πr²

(r+1.5)² =   2r²

Expand the parenthesis

r²+3r + 2.25 = 2r²

r²+3r + 2.25 - 2r² = 0

-r² + 3r + 2.25 = 0

r² - 3r - 2.25 = 0

Multiply through by 2

2r² - 6.0r - 4.5 = 0

<em>This proves the required equation</em>

<em />

Learn more on area of composite figures here: brainly.com/question/15981553

3 0
2 years ago
Please find x and y <br><br>x=y-4 and -2x+3y=6
laiz [17]

Answer:

x=y-4 is x=y-4

y=2+ 2x/2

Step-by-step explanation:

3 0
2 years ago
I need answer ASAP I have 30 minutes and 3 more questions to answer. SHOW YOUR WORK PLEASE.
Gnom [1K]

Answer:

6 weeks

Step-by-step explanation:

6*5=30

100+30=130

20*6=120

120+10=130

130=130

5 0
2 years ago
-14^2-8+3-6x^2+7x-11
denis-greek [22]
The answer is <span><span>−<span>6<span>x2</span></span></span>+<span>7x</span></span>−<span>212</span>
5 0
3 years ago
If f(x) = 4x2 and g(x) = x+1, find (f.g)(x).​
joja [24]

Answer:

8x+8

Step-by-step explanation:

(f.g)(x)= (f)(g)

(f.g)(x)=(4.2)(x+1)

(f.g)(x)=(8)(x+1)

(f.g)(x) =8x+8

7 0
3 years ago
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