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2 years ago

In x^a=y, y^b=z, z^c=x, then prove that abc=1

Mathematics

2 answers:

Marysya12 [62]2 years ago

7 0

Step-by-step explanation:

Let, x^a =y......(1) and

y^b =z.....(2) and

z ^c =x......(3).

Now, using (1) in (2) we get,

x ^ab =z......(4).

Now, using (4) in (3) we get,

x ^abc =x

or, x ^abc =x ^1

or, abc=1.

Hope it will help :)

irakobra [83]2 years ago

4 0

Step-by-step explanation:

hope the above solution will help you

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Solve the proportion for x.

Delvig [45]

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Proportion for x is 1.
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2 years ago

State the additive property of zero using the variable b.

Juli2301 [7.4K]

Answer with Step-by-step explanation:

We are given a variable b

We have to state the additive property of zero using the variable b.

Additive property of zero: It states that when any number b is added to zero then we get sum is equal to number itself.

Mathematical representation:

$b+0=0+b=b$

Suppose, a number b=9

Then, 9+0=9

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3 years ago

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WITCHER [35]

Answer: 1/4 OR 1/8

Step-by-step explanation:

the first coin can be heads which has a 1/2 chance of happening and the other coin also has a chance to get tails which is 1/2

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2 years ago

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The equation tan(55) = 15/b can be used to find the length of line AC.what is the length of line AC round to the nearest 10th 3.

Nadusha1986 [10]

Answer:

10.5 in

Step-by-step explanation:

Given

$tan(55) = \frac{15}{b}$

Required

Find length AC

The question is not detailed enough; so, I'll assume that b represents line AC.

Having said that;

We start by multiplying both sides by b

$tan(55) = \frac{15}{b}$

$b * tan(55) = \frac{15}{b} * b$

$b * tan(55) =15$

Divide both sides by tan(55)

$\frac{b * tan(55)}{tan(55)} = \frac{15}{tan(55)}$

$b = \frac{15}{tan(55)}$

Find tan(55)

$b = \frac{15}{1.42814800674}$

$b = 10.5031130731$

$b = 10.5$ (Approximated)

Length AC is 10.5

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3 years ago

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Tomtit [17]

Answer:

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Step-by-step explanation:

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2 years ago

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In x^a=y, y^b=z, z^c=x, then prove that abc=1​

In x^a=y, y^b=z, z^c=x, then prove that abc=1