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VikaD [51]
3 years ago
11

hugo has a cylindrical container that holds marbles. The container has a height of 10 inches and a radius of 5 inches.

Mathematics
1 answer:
mario62 [17]3 years ago
5 0

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The spherical bottle has a conical shaped lid with a diameter of 5cm and a height of 4.5cm. Given this information, calculate th
Harlamova29_29 [7]

Answer: Volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.

Step-by-step explanation:

Given: For  lid of the spherical shaped bottle,

Diameter = 5 cm

Height = 4.5 cm

Radius = Half of diameter = 2.5 cm

Volume of cone = \dfrac13\pi r^2 h

Volume of lid  =\dfrac13(3.14)(2.5)^2(4.5)=29.4375\approx29.44\text{ cm}^3

Surface area of cone = \pi r\sqrt{h^2+r^2}  [as lide has no base we don't include area of base.]

Surface area of lid = (3.14)(2.5)\sqrt{(2.5)^2+(4.5)^2}= 7.85\sqrt{26.5}\approx40.41\text{ cm}^3

Hence, volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.

7 0
3 years ago
While watching a circus show, I counted out the number of acrobats and elephants. I counted 40 legs and 15 heads. How many acrob
Goryan [66]

Answer:

y=10 ( number of acrobat)

Step-by-step explanation:

let x be the elephant and y the acrobat

elephant has 4 legs and acrobat 2

4x+2y=40

x+y=15  ⇒x=15-y

substitute for x in the equation:

4(15-y)+2y=40

60-4y+2y=40

-2y=40-60

y=-20/-2

y=10 ( number of acrobat)

number of elephant=15-10=5 elephants

5 0
3 years ago
Find the area in this picture
nikklg [1K]
The area is 80 just time 10 and 2 and 4
5 0
3 years ago
How do you write 20/100 as a decimal
zhannawk [14.2K]
To get a fraction as a decimal, you have to divide the numerator by the denominator (commonly on a calculator, which is the easiest). 

In this case, divide 20 by 100 to get the answer of 0.2.

So, 20/100 as a decimal is 0.2.
7 0
3 years ago
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Solve the equation <br>50=4(x-7)-6(3x-6)
rusak2 [61]

we are given

50=4(x-7)-6(3x-6)

Firstly , we can distribute

50=4x-28-18x+36

now, we can combine like terms

50=-14x+8

-14x=42

now, we can solve for x

and we get

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3 0
3 years ago
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