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irakobra [83]
2 years ago
14

Help me please please please

Mathematics
1 answer:
Archy [21]2 years ago
3 0

Answer:

24 in^{3}

Step-by-step explanation:

volume formula= l x w x h

Box A:

4 x 3  x 4 = 48

Box B: 48/2 = 24

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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
The Square of the sum of three and five
Savatey [412]

3+5=8

8^2 is 8×8 which equals 64.

The square of the sum of 3 and 5 equals 64.

7 0
3 years ago
You’re giving a side length of 7 cm. How many equilateral triangle’s can you construct using this information
dalvyx [7]

Answer:

1

Step-by-step explanation:

You can't construct more than 1 triangle. If either of the angles shift, the triangle won't close. And a equilateral triangle must close to be considered, well, a triangle.

3 0
3 years ago
Two consecutive intergers have a sum of 79, find the intergers
aev [14]

Answer:

<em>The integers are 39 and 40.</em>

Step-by-step explanation:

Let the smaller integer be x.

The next greater integer is x + 1.

Their sum is x + x + 1.

Their sum is 79, so

x + x + 1 = 79

Solve for x.

2x + 1 = 79

2x = 78

x = 39

x + 1 = 40

6 0
3 years ago
To get a free meal at his favorite restaurant, Tom needs to spend $50 or more at the restaurant. He has already spent $30.25. Ho
MrRissso [65]

Answer:

50-30.25=19.75

Step-by-step explanation:

5 0
3 years ago
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