Find the length of ab

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

8 0

Answer:

$^\frown_{AB}=11.16m$

Step-by-step explanation:

The given circle has radius 8m and a central angle of $80\degree$ .

We want to find the length of arc AB.

Recall that the length of an arc is given by:

$l=\frac{\theta}{360\degree}\times 2\pi r$

where $\theta=80\degree$ is the central angle and $r=8m$ is the radius.

$^\frown_{AB}=\frac{80}{360\degree}\times 2*3.14*8$

This simplifies to:

$^\frown_{AB}=11.16m$

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What are the exact solutions of x2 − 5x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b square

geniusboy [140]

Answer:

$x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

Step-by-step explanation:

So the question here is asking you to use the quadratic formula which is expressed as: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$

A quadratic can generally be expressed as: $y=ax^2+bx+c$

So using the equation you gave: $0=x^2-5x-1$

We can identify the following values: a=1, b=-5, c=-1

Btw the equation explicitly write "1" as the coefficient of x, but since it's not provided it's implied that it's 1.

So plugging in the known values, we get the following equation:

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The last step just consists of taking the + and - solution, and since it asks for exact solutions you leave the 29 under the radical, and you don't approximate. There is no further simplification that can be done here.

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2 years ago

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Arlecino [84]

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Twenty less than 8 times a number is the same as 15 more than the number

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