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bekas [8.4K]
4 years ago
14

Prove that the tangent at any point of a circle is perpendicular to the radius

Mathematics
1 answer:
tatuchka [14]4 years ago
8 0
1. OR=OQ+QR
2. OR>OQ
3.OR>OP
4.OP<OR
5.OP is the shortest of all segments from O to PT
6.OP is perpendicular to PT

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Two days after a biology experiment there was 49 million bacteria present. Four days after the experiment there was 600.25 milli
nataly862011 [7]

Answer:

y=Ae^(1.25t)

Step-by-step explanation:

From the expression  y=Ae^kt

After two days of the experiment, y = 49 million, t=2

After four days of the experiment, y= 600.25 million, t=4

A is the amount of bacteria present at time zero  and t is the time after the experiment (in days)

At t=2 and y =49

 49=Ae^2k…………….. (1)

At t=4 and y = 600.25

600.25=Ae^4k………… (2)

Divide equation (2) by equation (1)

600.25/49=(Ae^4k)/(Ae^2k )

12.25=e^2k

Take natural log of both sides

ln⁡(12.25) =2k

2.505⁡ =2k

k=1.25

The exponential equation that models this situation is y=Ae^(1.25t)

8 0
3 years ago
Find P(4).<br><br><br> A.1/8<br><br> B.1/4<br><br> C.1/2
Airida [17]
The correct answer in this case would be A. There is only 1/8th percent chance of the spinner landing on 4.
3 0
3 years ago
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3 1/2 x 2 1/2 as a mixed number in simplest form. if correct you get brainliest
Helga [31]

Answer:

8 3/ 4

Step-by-step explanation:

3 1/ 2

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4 0
3 years ago
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How to make 15/2 into a mixed number
Mazyrski [523]
Perform division as shown here
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An ordinary deck of playing cards has 52 cards. There are four suitslong dash—​spades, ​hearts, diamonds, and clubslong dash—wit
aalyn [17]

Answer:

P(King) = 4/52 = 1/13

Step-by-step explanation:

As we know there are 52 cards in total from 2 to 10, and King, Queen, Jack, and Ace, with each of them are equal in numbers which is 4.

Total Number of Kings in the Deck of Cards  = 4

P(King) = Number of Kings/Total Number of Cards

= 4/52 = 1/13

3 0
3 years ago
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