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3 years ago

The sides of a square are 7 inches long. Enter the length of the diagonal of the square to the nearest tenth.

Mathematics

1 answer:

Readme [11.4K]3 years ago

5 0

Answer:

9.9 inches

Step-by-step explanation:

Use the pythagorean Theorem

c^2 = a^2 + b^2

c^2 = 7^2 + 7^2

c^2 = 49 + 49

c^2 = 98

Take the square root of both sides

c = 9.8994949366

Rounded

c = 9.9 inches

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What are the potential solutions of In(x^2-25)=0?

Maslowich

Answer:

$x =\pm \sqrt{26}$

Step-by-step explanation:

Given :-

ln ( x² - 25 ) = 0

And we need to find the potential solutions of it. The given equation is the logarithm of x² - 25 to the base e . e is Euler's Number here. So it can be written as ,

Equation :-

$\implies log_e {(x^2-25)}= 0$

In general :-

If we have a logarithmic equation as ,

$\implies log_a b = c$

Then this can be written as ,

$\implies a^c = b$

In a similar way we can write the given equation as ,

$\implies e^0 = x^2 - 25$

Now also we know that $a^0 = 1$ Therefore , the equation becomes ,

$\implies 1 = x^2 - 25 \\\\\implies x^2 = 25 + 1 \\\\\implies x^2 = 26 \\\\\implies x =\sqrt{26} \\\\\implies x = \pm \sqrt{ 26}$

Hence the Solution of the given equation is ±√26.

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3 years ago

What is 6^-2/2^4 ???????????????

sergij07 [2.7K]

Answer:

1/52

Step-by-step explanation:

2 to the fourth is 16, and 6 to the second is 36. However, since it's a negative exponent, you'd have to move it down to to the bottom of the fraction, creating 1/16+36, which makes 1/52.

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4 years ago

On any given day, one person needs an average of 2.5 liters of water to survive. how many people will a tank supply for the day

Hitman42 [59]

How much water is in the tank?

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3 years ago

Select all equations with infinitely many solutions..

Vaselesa [24]

B. 1/2(6x-12) = 3x -6 = 3(x-2)
D. 12x -18 + 2 = -16+12x
12x -16 = -16+ 12x

B and D are the answers
Trust me

Hope this helps!

Mark me as brainliest if you can, I really appreciate it!

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3 years ago

Will award 40 points if you answer correctly

IceJOKER [234]

see picture for the graph

equation: y = 1.50x

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3 years ago

Read 2 more answers