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3 years ago

2 sec (4x) - 2

Mathematics

1 answer:

ankoles [38]3 years ago

5 0

Answer:

Step-by-step explanation:

Find the limit of x to 0 of 4•Sec(4x)^-2

We know that, Sec4x = 1 / Sin4x

Then,

Lim x → 0: 4•(1 / Sin4x)^-2

Lim x → 0: 4•(Sin4x)²

Then,

Lim x → 0: 4(Sin(4×0))²

Lim x → 0: 4(Sin0)²

Lim x → 0: 4

Then, the limit as x → 0 is 4.

The correct answer is 4

Option A

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If the diagonal of a square is approximately 12.73, what is the length of its sides?

Alja [10]

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

$D^{2} = L^{2} + L^{2}$

Solving further, we have

$D^{2} = 2L^{2}$

Divide both sides by 2

$\frac{D^{2}}{2} = \frac{2L^{2}}{2}$

$\frac{D^{2}}{2} = L^2$

Take Square root of both sides

$\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}$

$\sqrt{\frac{D^{2}}{2}} = L$

Reorder

$L = \sqrt{\frac{D^{2}}{2}}$

Now, the value of L can be calculated by substituting 12.73 for D

$L = \sqrt{\frac{12.73^{2}}{2}}$

$L = \sqrt{\frac{162.0529}{2}}$

$L = \sqrt{{81.02645}$

$L = 9.001469325$

$L = 9.0015$ (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

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3 years ago

I need 7/5 renamed to a fraction

Setler79 [48]

Answer:

Step-by-step explanation:

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What is 563 times 38 ?

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