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Ludmilka [50]
3 years ago
10

I need help with this math question

Mathematics
1 answer:
Blababa [14]3 years ago
5 0
The answer is 1206 cm. The formula for the volume of this cone is 1/3 • 3.14 • 12(2) • 8.
Which gives you 1205.76 which is rounded up to 1206.

The (2) means the second power so it’s 12 to the second power.
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I'm pretty sure it's 114 miles.
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The slope of two lines are 5/6 and 2/p. determine the value of p that will make the lines
Anni [7]
Parallel:  the lines have = slopes.  We thus need 5/6 to equal 2/p.  then 5p must equal 12, and p = 12/5.   (answer)

Check:  Is 5/6 = 2 / (12/5)?  YES

Perp.:  The lines have slopes that are negative reciprocals of one another.

Then -6/5 = 2/p,  or

 -6      2
---- = ----
  5      p             Thus, -6p = 10, and p = -5/3   (answer)
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zavuch27 [327]

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2 years ago
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Given an arithmetic sequence with a3=5 and a5=19, find the 24th term.
krok68 [10]

The 24th term is 152

Step-by-step explanation:

The formula of the nth term of an arithmetic sequence is:

a_n=a+(n-1)d , where

  • a is the first term
  • d is the common difference between consecutive terms

The third term means n = 3

∵ a_3=a+(3-1)d

∴ a_3=a+2d

∵ a_3 = 5

- Equate the right hand sides of the third term

∴ a + 2d = 5 ⇒ (1)

The fifth term means n = 5

∵ a_5=a+(5-1)d

∴ a_5=a+4d

∵ a_5 = 19

- Equate the right hand sides of the fifth term

∴ a + 4d = 19 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate a

∴ 2d = 14

- Divide both sides by 2

∴ d = 7

- Substitute the value of d in equation (1) to find a

∵ a + 2(7) = 5

∴ a + 14 = 5

- Subtract 14 from both sides

∴ a = -9

The twenty fourth term means n = 24

∵ a = -9 and d = 7

- Substitute the values of a and d in the formula of the nth term

∴ a_24=-9+(24-1)(7)

∴ a_24=-9+(23)(7)

∴ a_24=-9+161

∴ a_24=152

The 24th term is 152

Learn more:

You can learn more about the arithmetic sequence in brainly.com/question/7221312

#LearnwithBrainly

5 0
3 years ago
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Kruka [31]

Answer:

Fraction means how much from the main graph is it taking, for example, the circle is a 1/4 white 3/4 green to find the decimal, divide the number under the line by the one above it, 4 divided by 3 for example

Step-by-step explanation:

Fraction means how much from the main graph is it taking, for example, the circle is a 1/4 white 3/4 green to find the decimal, divide the number under the line by the one above it, 4 divided by 3 for example

6 0
3 years ago
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