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Free_Kalibri [48]
2 years ago
15

Dave has a board that is

Mathematics
1 answer:
Naya [18.7K]2 years ago
4 0

Answer:

The answer is 1 3/8 (B)

Step-by-step explanation:

3 1/4 - 1 7/8 = 1 3/8

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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
2 years ago
What is the value of x?
tigry1 [53]

Check the picture below.

3 0
2 years ago
Find the four arithmetic means between 100 and 135.
Ad libitum [116K]
114-121-128. i believe to be correct
5 0
3 years ago
Help!!!Can someone help me with my math ttas fast!!
MAVERICK [17]
The answer to the question is boneless
4 0
3 years ago
How do I solve this ​
timurjin [86]

Answer:

4 hours

Step-by-step explanation:

120-72=48

48÷12=4

8 0
3 years ago
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