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cluponka [151]
3 years ago
9

The hands of a clock form the same angle at various times of the day. For example, the angle formed at 2:00 is congruent to the

angle formed at 10:00. If a clock has a diameter of 1 ft, what is the distance along the edge of the clock from the minute hand to the hour hand at 2:00? Give your answer in exacts.
Mathematics
1 answer:
Oliga [24]3 years ago
8 0
It is 2 inches long this is because of the length of the hands .
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3 0
2 years ago
Read 2 more answers
HELP ME!!!
larisa [96]

Answer:

  -2, 8/3

Step-by-step explanation:

You can consider the area to be that of a trapezoid with parallel bases f(a) and f(4), and width (4-a). The area of that trapezoid is ...

  A = (1/2)(f(a) +f(4))(4 -a)

  = (1/2)((3a -1) +(3·4 -1))(4 -a)

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We want this area to be 12, so we can substitute that value for A and solve for "a".

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 24 = (3a +10)(4 -a) = -3a² +2a +40

  3a² -2a -16 = 0 . . . . . . subtract the right side

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Values of "a" that make these factors zero are ...

  a = 8/3, a = -2

The values of "a" that make the area under the curve equal to 12 are -2 and 8/3.

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<em>Alternate solution</em>

The attachment shows a solution using the numerical integration function of a graphing calculator. The area under the curve of function f(x) on the interval [a, 4] is the integral of f(x) on that interval. Perhaps confusingly, we have called that area f(a). As we have seen above, the area is a quadratic function of "a". I find it convenient to use a calculator's functions to solve problems like this where possible.

5 0
3 years ago
How does 2π/4 simplify to π/4?
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It doesn't
remember that
(x/g) times (y/z)=(x time y)/(g times z) so
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3 years ago
(PLEASE ANSWER + 10 POINTS!!!)
Masteriza [31]
I believe it would be C. 40 feet.
7 0
3 years ago
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What is the gcf of 18 and 20 with 18/24 in simplest form
Leviafan [203]
6 because that's the gcf of those numbers no matter id its simplified or not :)
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3 years ago
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