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Blababa [14]
3 years ago
15

The second hand of an analog clock completes an entire rotation in 60 seconds, and the length of the seconds hand is 8 inches. a

pproximately how far does the tip of the seconds hand travel in 2 minutes and 15 seconds
Mathematics
1 answer:
g100num [7]3 years ago
3 0
Circumcerence = distance travelled in one full rotation = 2 x π x 8 = 16π

for 2 minutes and 15 seconds,
multiply 16π by 2.25 as 2 minutes is twice the distance of one rotation and 15 seconds is a quarter more

therefore answer is 36π = 113.1 inches
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Nonamiya [84]

the coordinates where the bridges must be built is (3,-6) and (6,3) .

<u>Step-by-step explanation:</u>

Here we have , a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream at point A and then again at point B. Bridges must be built at those points.We need to find Identify the coordinates where the bridges must be built. Let's find out:

Basically we need to find values of x for which f(x) = g(x) :

⇒ f(x)-g(x)=0

⇒ 3x^2- 24x + 39-(3x - 15 ) =0

⇒ 3x^2- 24x + 39-3x + 15  =0

⇒ 3x^2- 27x + 54  =0

⇒ x^2- 9x + 18  =0

⇒ x^2- 6x-3x + 18  =0

⇒ x(x- 6)-3(x - 6)  =0

⇒ (x-3)(x- 6)  =0

⇒ x=3 , x=6

Value of g(x) at x = 3 : y=3x -15 = 3(3)-15 = -6

Value of g(x) at x = 6 : y=3x -15 = 3(6)-15 = 3

Therefore , the coordinates where the bridges must be built is (3,-6) and (6,3) .

7 0
3 years ago
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Leya [2.2K]

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Step-by-step explanation:

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2 years ago
Can someone help on this one because i don’t know if i’m correct
34kurt

Answer:

Yes its C

Step-by-step explanation:

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Also the slope is negative so Option A and B are out

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