Four rectangles are shown in the diagram. For which pair of rectangles is the ratio of the side lengths 1:3?

Mathematics

1 answer:

kondor19780726 [428]3 years ago

5 0

The answer is B. because it is 6:9 which simplifies down to 1:3

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Solve multi-step equation 5(x + 6) = x + 46

Marianna [84]

5(x+6) = x+46

or, 5x+30 = x+46

or, 5x-x = 46-30

or, 4x = 16

or, x = 16/4 = 4

The answer is 4. Please mark me Brainliest

8 0

3 years ago

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Limit (sin4x-4sinx)/x^3 when x close to zero

BartSMP [9]

$\Large \boxed{\sf \bf \ \ \lim_{x\rightarrow0} \ {\dfrac{sin(4x)-4sin(x)}{x^3}}=-10 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

Using Maclaurin series expansion, we can find an equivalent of sin(x) in the neighbourhood of 0.

$sin(x) \sim \left(x-\dfrac{x^3}{3!}\right)\\\\\text{So, in the neighbourhood of 0}\\\\\begin{aligned}(sin(4x)-4sin(x)) &\sim \left( 4x-\dfrac{(4x)^3}{3!}-4x+\dfrac{4x^3}{3!}\right)\\\\&\sim \left(\dfrac{x^3*4*(1-4^2)}{3*2}\right)\\\\&\sim \left(\dfrac{x^3*2*(-15)}{3}\right)\\\\&\sim \left(x^3*2*(-5)\right)\\\\&\sim \left(x^3*(-10)\right)\\\end{aligned}$

Then,

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Thank you

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3 years ago

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Find out for what value of the variable:

Burka [1]

Answer:

$a=-1,\ a=-5$

$x=-2+i,\ -2-i$

Step-by-step explanation:

<u>Equations</u>

We have two cases where some variable is required to be found such that some condition is met. The first case is about finding the value of a that complies:

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