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Oksi-84 [34.3K]
3 years ago
13

Find the length of the darkened arc. Leave your answer in terms of pi.​

Mathematics
1 answer:
jonny [76]3 years ago
6 0

Answer:

\frac{15 }{4}  \pi \:

Step-by-step explanation:

Radius of circle (r) = 18/2 = 9 ft

Central angle = 180° - 30° = 150°

length \: of \: arc  \\ =  \frac{150 \degree}{360 \degree}  \times 2\pi \: r \\  \\  = \frac{150 \degree}{360 \degree}  \times 2 \times \pi \: \times  9\\  \\  = \frac{5 }{12 }  \times 18 \times \pi \: \\  \\  = \frac{5 }{4}  \times 3\times \pi \:\\  \\  = \frac{15 }{4}  \pi \:

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The volume of a cylinder is 375 pi m^3. if r= 5 m, find its height.
pishuonlain [190]

Answer:

Step-by-step explanation:

V=h\pi r^2\\ \\ h=\frac{V}{\pi r^2}\\ \\ h={375\pi}{25\pi}\\ \\ h=15m

3 0
3 years ago
Ali finished his history assignment in 1/4
Lina20 [59]
Hello there!

For this you simply need to give both fractions a common denominator!

The easiest way to do this specific problem would be to make the denominator 12. Why 12? Because 4 x 3 = 12.

So:

1/4 --> ?/12 --> 1 (3) / 12 --> 3/12

2/3 --> ?/12 --> 2 (4) / 12 --> 8/12

Total amount of time means the sum (adding them together).

When adding fractions, you MUST have a common denominator! (Which is what we just did).

So 3/12 + 8/12 = (8+3) / 12 = 11/12 hours

Notice how the denominator stayed the same? When adding/subtracting fractions, the denominator stays the same! :)

Hope this helped!

-------------------------------

DISCLAIMER: I am not a professional tutor or have any professional background in your subject. Please do not copy my work down, as that will only make things harder for you in the long run. Take the time to really understand this, and it'll make future problems easier. I am human, and may make mistakes, despite my best efforts. Again, I possess no professional background in your subject, so anything you do with my help will be your responsibility. Thank you for reading this, and have a wonderful day/night!
4 0
3 years ago
Identify the number of terms in the expression. Type the answer in the space provided.
nadya68 [22]

Answer:

Step-by-step explanation:

Terms are separated from one another by + and/or - signs.  In this case neither appears, so the given expression constitutes a single term.

3 0
3 years ago
The equation 201.50=f+6.50(21) represents the cost of printing the shirts at a second printing company. Find the solution to the
AveGali [126]

Answer:

f = 65

Setup cost = 65

Step-by-step explanation:

Given the equation : 201.50=f+6.50(21)

Solving for f:

201.50 = f + 136.50

201.50 - 136.50 = f

f = 65

The equation above is written in the form a slope intercept function where,, 6.50 is the gradient and X equals the number of shirts, The total cost of printing is 201.50

f is the intercept and represents the initial fee or setup cost. Hence, the setup. Cost = 65

5 0
2 years ago
5. A cabin rental costs $100 deposit plus $75 per day. Find the cost of renting a cabin for the
Alik [6]

Answer:

the answer to this question is $2,350

Step-by-step explanation:

june has 30 days so $75 × 30 + $100 = $2,350

6 0
3 years ago
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