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BabaBlast [244]
3 years ago
12

If a = b^c b=c^a and c =a^b prove abc =1​

Mathematics
1 answer:
alekssr [168]3 years ago
5 0

Answer:

Step-by-step explanation:

a = b^{c}   ------------(I)

Plug in b = c^{a}

(I) ---> a = (c^{a})^{c}= \ c^{a*c} = \ c^{ac}    -----------(II)

Plug in c = a^{b}

(II) ----->

 a = (a^{b})^{ac} \\\\a = a^{ac*b}\\\\a = a^{abc}

Both sides base are same. So, compare the powers

1 = abc

abc = 1

Hence proved

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PLEASE HELP!!! solve the right triangle​
DIA [1.3K]

Answer:

UV = 4.5 (not rounded)

TV = 3√3

m∠U = 60˚

Step-by-step explanation:

UV = Use sin function since you’re finding the hypotenuse with a given angle and opposite side.

sin(30) = 9/UV

9sin(30) = UV

4.5 = UV

TV = Use Tangent function (opp. over adj.) since you’re finding the adjacent side with a given angle and opposite side.

tan(30) = 9/TV

9tan(30) = TV

3√3 = TV

m∠U = Sum of all interior angles of a triangle is 180˚:

90˚ + 30˚ = 120˚

180˚ - 120˚ = 60˚

Hope this helps :)

7 0
3 years ago
A restaurant manager collected data on the number of customers in a party in the restaurant and the time elapsed until the party
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Answer:

Option C The parties with a larger number of customers are associated with the longer times elapsed until the party left the restaurant.

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The correlation coefficient 0.78 shows that positive association between two variables number of customers and elapsed time until party left restaurant.

The positive association means that as the number of customers in a party increases the elapsed time also increase. So, we can say that the parties with a larger number of customers are associated with the longer times elapsed until the party left the restaurant.

4 0
3 years ago
Giving brainlist to whoever answers
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B I am 100% sure

Step-by-step explanation:

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A glacier grew g feet over winter. It shrank 25 feet in summer.if the total change was -10 feet how much had the glacier grown i
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You would have to add 25 and -10 together
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