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kolezko [41]
3 years ago
10

How do i solve this? Please help me find the answer.

Mathematics
1 answer:
Andrej [43]3 years ago
8 0

Answer:

Step-by-step explanation:

The tangent lines meet the radii at 90 degrees.

The way the diagram is drawn, the following formula will work

<AOB + <OAC + OBC + 10 = 360

<OAC = 90

<OBC = 90

<AOB + 90 + 90 + 10 = 360

<AOB + 190 = 360

<AOB = 360 - 190

<AOB = 170

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What is the image point of (-1, 1) after a translation right 2 units and down 1 unit?
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Answer: 1,2

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there are n counters in a bag. 4 of the counters are red and the rest are blue. Ross takes a counter from the bag at random and
Ainat [17]

Answer: n = 10.

Step-by-step explanation:

In the bag, we have n counters.

4 of the counters are red.

the rest are blue, then we have:

(n - 4) blue counters.

Now, the probability that Ross takes a blue counter from the bag is equal to the quotient between the number of blue counters (n - 4) and the total number of counters, n

Then the probability is:

p1 = (n - 4)/n

Now he draws another, and it must be blue again, then we can calculate the probability in the same way as above, but he already take a blue counter, so the number of blue counters is (n - 5) and the total number of counters is (n - 1)

The probability of this event is:

p2 = (n - 5)/(n - 1)

The joint probability (the probability that Ross takes two blue counters) is equal to the product of the individual probabilities, and we know that this is equal to 1/3, then we have the equation:

1/3 = ( (n - 4)/n)*((n - 5)/(n - 1))

Now let's solve this for n.

n*(n - 1)/3 = (n - 4)*(n - 5)

(n^2 - n)/3 = n^2 - 4*n - 5*n + 20

n^2 - n = 3*(n^2 - 9*n + 20)

n^2 - n = 3*n^2 - 27*n + 60

0 = (3*n^2 - n^2) - 27*n + n + 60

0 = 2*n^2 - 26*n + 60

The two solutions of this equation can be found with Bhaskara's equation:

n = \frac{-(-26) +- \sqrt{(-26)^2 - 4*2*60} }{2*2} = \frac{26+- 14}{4}

Then the two solutions are:

n = (26 - 14)/4 = 3

This is not an option, because we know for sure that we have 4 red counters, then this option can be discarded.

The other solution is:

n = (26 + 14)/4 = 40/4 = 10

Then we have n = 10, 10 counters in total.

4 0
3 years ago
How much water must be evaporated from 32 ounces of a 7% salt solution to make a 8% salt solution. Answer in ounces.
Nadya [2.5K]

You subtract 7% from 32=29.76
Then you subtract 8% from 29.76=27.379

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3 years ago
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