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defon
3 years ago
7

What is tan B enter your answer as a simplified fraction in the box

Mathematics
1 answer:
Tasya [4]3 years ago
4 0

Answer:

7/24

Step-by-step explanation:

Tangent is opposite over adjacent. You know that the opposite leg is 14 but you don't know the adjacent.

To find the unknown leg, use Pythagorean theorem so that 50^2-14^2= leg. The length is 48.

14/48= tan B

7/24= tan B

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CaHeK987 [17]

Answer:

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3 years ago
There are (n r) different linear arrangements of n balls of which r are black and n-r are white. give a combinatorial explanatio
Vanyuwa [196]

Answer:

\frac{n!}{r!(n-r)!}

Step-by-step explanation:

Combinatorial explanation:

The n balls have to be arranged in n positions and the only distinction is where are the black and where white balls are.

We can choose the position of black balls in \binom{n}{r} ways, therefore, white ones are on the remaining positions.

Using binomial we can have explanation written below:

The balls can be arranged in n! possible permutations.

To be precise one particular arrangement includes r!(n-r)! permutations. Since r black balls can be permuted in r! ways and white balls in (n-r)! different orders.

So basically it yields,

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So the actual amount is,

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6 0
4 years ago
Cody increased the amount of money he saves each week from $40 to $75. By
Natali [406]

Answer:

So Cody increase his savings by 87.5%

Step-by-step explanation:

We are given Cody's original savings = $40

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Now, in order to find out the percentage we have to first find out by how much did he increase his savings:

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So now we have the increase in savings we can find out the percentage:

increase(\%) \:  =  \frac{increase \: in \: savings}{original \: savings}  \times 100

Now we plug in our values that we found:

increase(\%) =  \frac{35}{40}  \times 100\\ increase(\%) = 87.5\%

So Cody increase his savings by 87.5%

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Answer:

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Step-by-step explanation:

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