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dlinn [17]
3 years ago
7

How would I determine whether AB is tangent to oc? The o is a circle dot

Mathematics
1 answer:
icang [17]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

If AB is a tangent then ∠ ABC = 90° and Δ ABC is right

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides.

15 is the longest side and 15² = 225

9² + 12² = 81 + 144 = 225

Thus Δ ABC is a right triangle at B

Thus AB is a tangent to the circle at B

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Suppose that the useful life of a car battery, measured in months, decays with parameter 0.03 . We are interested in the life of
scZoUnD [109]

Answer:

a) X ~ e(0.03)

b) μ = 100/3

c) \sigma = 100/3

d) A battery is expected to last 100/3 months (33 months and 10 days approximately).

e) For seven batteries, i would expect them to last 700/3 months (approximately 19 years, 5 months and 10 days).

Step-by-step explanation:

a) The life of a battery is usually modeled with an exponential distribution X ~ e(0.03)

b) The mean of X is μ = 1/0.03 = 100/3

c) The standard deviation is \sigma = 1/0.03 = 100/3

d) The expected value of the bateery life is equal to its mean, hence it is 100/3 months.

e) The expected value of 7 (independent) batteries is the sum of the expected values of each one, hence it is 7*100/3 = 700/3 months.

4 0
3 years ago
A pet store was selling 4 lizards for $47.88. If they ended up selling 6 lizards, how much would they have earned?
fgiga [73]

Answer:

Step-by-step explanation:

Step one- Find out how much it costs for one Lizard In this case, for four lizards it costs $47.88. To find the price for one lizard you divide 47.88 by four

$47.88/4Lizards=$11.97 per lizard.

Step two- Now that we have the price for one lizard, your question asks you how much for 6 lizards. We need to find that cost. To do so you multiply $11.97 by 6 for the lizards.

Your answer is $71.82

Hope This Helped :)

4 0
3 years ago
Read 2 more answers
I NEED UR HELPFNGKFNKFJFF
alisha [4.7K]

For Q3, you can subsitute x = 2 and y = 5 into the systems

-5(2) + 5 = -5

so it's a solution for the first system

-4(2)+2(5) = 2

it's also a solution for the second system

8 0
2 years ago
(HELP!!!) Please Factor Completely: <br> 9x^2y^2-27x^2y-72y^2+216y
Olegator [25]

Answer:

Can u space them out so i know which ones are exponents

Step-by-step explanation:

4 0
3 years ago
Increase 12 in to the given ratio of 4:3​
inysia [295]

Answer:

16:12

Step-by-step explanation:    

                   (4+12)=16

16/4 = 4

4x3=12

    Another method:

4---------3

16-------x

Cross multiplication

4x=16x3

4x=48

x=12

4 0
2 years ago
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