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2 years ago

75% of 48 show all the work

Mathematics

2 answers:

zepelin [54]2 years ago

6 0

Answer:

75% of 48 is 36.

Step-by-step explanation:

So, what I did here was to first find out what 25% of 48 is, because 75% is 25% multiplied by 3.

50% of 48 = 24

Since 25% is half of 50% all we have to do is divide by 2.

24 ÷ 2 = 12.

Now, we multiply by 3.

12 * 3 = 36

So, the answer is 36.

Hope this helps! :)

Sergio039 [100]2 years ago

5 0

Answer:

Step-by-step explanation:

75%=0.75

0.75*48=3/4*48=144/4=36

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An oblique cylinder has a radius of 9 centimeters and a volume of 486 cubic centimeters. Use Cavalieri’s Principle to calculate

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Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.

Option A) is the correct answer.

<h3>What is the height of the oblique cylinder?</h3>

From Cavalieri's principle, the volume of an oblique cylinder is expressed as;

V = base area × h

V = πr² × h

Given that;

Radius r = 9cm
Volume of the oblique cylinder V = 486πcm³
Height of the oblique cylinder h = ?

V = πr² × h

486πcm³ = π × ( 9cm )² × h

486πcm³ = π × 81cm² × h

486πcm³ = 81πcm² × h

h = 486πcm³ / 81πcm²

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Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.

Option A) is the correct answer.

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2 years ago

The exterior walls and roof of a barn are to be painted. The barn is in the shape of a rectangular prism, with an isosceles tria

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<u>Given:</u>

The rectangular prism has a length of 25 feet, a width of 10 feet and a height 55 feet.

The triangular prism has a base length of 25 feet, a height of 8 feet, and a prism height of 55 feet.

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<u>Solution:</u>

There are 4 external surfaces for the rectangular prism and 4 external surfaces for the triangular prism.

The rectangular prism has 4 rectangles out which there are 2 sets of similar rectangles.

There are two rectangles with lengths of 25 feet and widths of 10 feet while the other two rectangles have lengths of 55 feet and widths of 10 feet.

The area of a rectangle with a length of 25 feet and a width of 10 feet $= 25(10)= 250$ square ft.

The area of two such rectangles $= 2(250) = 500$ square feet.

The area of a rectangle with a length of 55 feet and a width of 10 feet $= 55(10)= 550$ square feet.

The area of two such rectangles $= 2(550) = 1100$ square feet.

The triangular prism has 2 triangles and 2 rectangles.

The triangles have base lengths of 25 feet and heights of 8 feet while the rectangles have lengths of 55 feet and heights of 14.8 feet.

The area of a triangle with a base length of 25 feet and a height of 8 feet $= \frac{1}{2}(25)(8)= 100$ square feet.

The area of two such triangles $=2(100)= 200$ square feet.

The area of a rectangle with a length of 55 feet and a width of 14.8 feet $= 55(14.8)= 814$ square feet.

The area of two such rectangles $= 2(814) = 1628$ square feet.

The total area to be painted $=500+1100+200+1628 = 3128$ square feet.

So an area of 3128 square feet is to be painted.

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3 years ago