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blondinia [14]
3 years ago
13

What is the area and the circumference of a circle with a diameter of 8 m.

Mathematics
1 answer:
Elenna [48]3 years ago
8 0

Answer:

50.27m

2 π r

Step-by-step explanation:

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A lampshade has a height of 12cm and upper and lower diameters of 10cm and 20cm A)what area of material is required to cover tha
netineya [11]

Answer:

(a)\ Area = 195\pi

(b)\ Volume = 700\pi

Step-by-step explanation:

Given

h = 12

d_1 = 10 --- lower diameter

d_2 = 20 --- upper diameter

Solving (a): The curved surface area

This is calculated as:

Area = \pi l(r_1 + r_2)

Where

r_1 = 0.5 * d_1 = 0.5 * 10 = 5 --- lower radius

r_2 = 0.5 * d_2 = 0.5 * 20 = 10 --- upper radius

And

l = \sqrt{h^2 + (r_1 - r_2)^2 ---- l represents the slant height of the frustrum

l = \sqrt{12^2 + (5 - 10)^2

l = \sqrt{12^2 + (-5)^2

l = \sqrt{144 + 25

l = \sqrt{169

l = 13

So, we have:

Area = \pi l(r_1 + r_2)

Area = \pi * 13(5 + 10)

Area = \pi * 13(15)

Area = 195\pi

Solving (b): The volume

This is calculated as:

Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))

This gives:

Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))

Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))

Volume = \frac{1}{3}\pi * 12 * (175)

Volume = \pi *4 * 175

Volume = 700\pi

6 0
3 years ago
What is the equation of the line that contains the point 46x30 and has a slope of -3?
BARSIC [14]

Answer:

y=-3x+30

Step-by-step explanation:

Written in: y=mx+b

6 0
3 years ago
What is the answer of 81g^2 - 36f^2 ?????
sveticcg [70]

Answer:

(9g - 6f)(9g + 6f)

Step-by-step explanation:

81g^2 - 36f^2 =

(9g)² - (6f)² =

(9g - 6f)(9g + 6f)

3 0
2 years ago
The ratio of peter's height to albertina's height is 147cm what is peter's height​
stellarik [79]

Answer:

4'9.87

Step-by-step explanation:

8 0
2 years ago
If an item that originally cost $13 is increased to $19, what is the percentage of increase in the item?
Evgesh-ka [11]
Original cost (OC) = $13

New cost (NC) = $19

Percentage increase = \frac{NC - OC}{OC} *100 =  \frac{19 - 13}{13} * 100 =  \frac{6}{13} * 100

= 46.15 %
4 0
3 years ago
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