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Zielflug [23.3K]
3 years ago
5

Camryn practices the trumpet every 11th day and the flute every 3rd day. Camryn practiced both the trumpet and the flute today.

How many days until Camryn practices the trumpet and flute again in the same day?
Mathematics
1 answer:
QveST [7]3 years ago
4 0

Answer: 33 days.


Step-by-step explanation:

Given :- Camryn practices the trumpet every 11th day and the flute every 3rd day.

Camryn practiced both the trumpet and the flute today.  

To find the number of days until Camryn practices the trumpet and flute again in the same day, we need to find the least common multiple (L.C.M.) of 11 and 3.

As they both are co-prime numbers thus its L.C.M.= 11×3=33

Therefore, Camryn practices the trumpet and flute again in the same day after 33 days.

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STatiana [176]

Answer:

G. 245.04cm²

Step-by-step explanation:

The shortest way to solve this problem would be:

total surface area = 2 * π * r² + (2 * π * r) * h

or

total surface area = 2 * π * r * (r + h).

Diameter = 6

Radius = 3

Height = 10

The radius is half the diameter

TSA = Total surface area

TSA = 2 π 3(3+10)

TSA = (2)(3.141593)(3)(3+10)

TSA = (6.283185)(3)(3+10)

TSA = 18.849556(3+10)

TSA = (18.849556)(13)

TSA = 245.044227

TSA = 245.04

Or you could do the longer way, which would be:

Step 1: Find the surface area of the curved part of the cylinder

Surface Area (Curved) = 2 x π x Radius x Height

Step 2: Find the surface area of the two ends of the cylinder

Surface Area (Ends) = 2 x π x Radius²

Step 3: Add the surface are of the curved part to the surface area of the ends

Surface Area (Total) = Surface Area (Curved) + Surface Area (Ends)

For the cylinder in the picture:

A cylinder has a height of 10 and a diameter of 6

Hence, Radius = d/2 = 6/2 = 3 cm

Surface Area (Curved) = 2 x pi x 3 x 10

Surface Area (Curved) = 188.495559

Surface Area (Ends) = 2 x pi x 3²

Surface Area (Ends) = 2 x pi x 25

Surface Area (Ends) = 56.548668

Surface Area (Total) = 245.044227

245.04 is the result of rounding 245.044227 to the nearest hundredth

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2 years ago
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Answer:

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Step-by-step explanation:

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