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3 years ago

If you know the area of a circular field is 6358.5 m2, what is the radius of the field?

Mathematics

1 answer:

diamong [38]3 years ago

5 0

Answer:

r = 45 m.

Step-by-step explanation:

pi r^2 = 6358.5

r^2 = 6358.5 / pi

r = √(6358.5 / pi)

= 44.989 m

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PIT_PIT [208]

Option (b) is your correct answer.

Step-by-step explanation:

$\large\underline{\sf{Solution-}}$

Given Trigonometric expression is

$\rm :\longmapsto\:\dfrac{sin\theta }{1 + cos\theta }$

So, on rationalizing the denominator, we get

$\rm \: = \: \dfrac{sin\theta }{1 + cos\theta } \times \dfrac{1 - cos\theta }{1 - cos\theta }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}}$

So, using this, we get

$\rm \: = \: \dfrac{sin\theta (1 - cos\theta )}{1 - {cos}^{2}\theta }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ {sin}^{2}x + {cos}^{2}x = 1}}}$

So, using this identity, we get

$\rm \: = \: \dfrac{sin\theta (1 - cos\theta )}{{sin}^{2}\theta }$

$\rm \: = \: \dfrac{1 - cos\theta }{sin\theta }$

Hence, 

$\\ \red{\rm\implies \:\boxed{\tt{ \rm \:\dfrac{sin\theta }{1 + cos\theta } = \: \dfrac{1 - cos\theta }{sin\theta } }}} \\$

3 0

3 years ago

Read 2 more answers

Write an equation for: The length of a rectangle is 6 times the width. use the variables l and w

Fittoniya [83]

L=6w would be an equation for the length of a rectangle that is 6 times the width

8 0

4 years ago

Find the area of the square rug if its side is (6x + 1) feet. The area of the square rug is ( )

Assoli18 [71]

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A= side^2

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3 years ago

Max is saving to buy a bicycle. The bicycle he wants costs $150.00. Max has already saved $95.00. Write an equation that can be

Setler [38]

1. For the first question, asking to write an equation for how much more Max needs to save up, It would simply be 95.00 + n = 150.00.
This is because he has $95 and needs $n more to get to the final amount of $150.

2. For the second question, asking which number being substituted for n makes the equation true, isolate n in the equation to find what it equals. To do this, subtract 95 from both sides.
95 + n - 95 = n < This isolates the variable.
150 - 95 = 55
This means n = 55 (fifty five)

3. The inequality is a bit more complicated since it says less than $5 per week. The way I'd do it would get some kind of answer but because I haven't done inequalities like this in a while, I unfortunately can't help you with this part. I can say, however, that it more than likely has something to do with being between two values, but I'm not sure. Sorry for the inconvenience.

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3 years ago

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dangina [55]

what is the expression

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4 years ago