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kondaur [170]
3 years ago
10

How do I find the arc made by a given angle and major arc for a certain part of circle and how are they different?

Mathematics
1 answer:
djyliett [7]3 years ago
8 0
The arc length = radius * central angle (in radians)

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An equivalent expression with a rational denominator is...
Whitepunk [10]

Given the expression,

(8x-56x^2)/(\sqrt{14x-2})

We will have to rationalize the denominator first. To rationalize the denominator we have to multiply the numerator and denominator both by the square root part of the denominator.

[(8x-56x^2)(\sqrt{14x-2})]/[(\sqrt{14x-2})(\sqrt{14x-2})]

If we have (\sqrt{a})(\sqrt{a}), we will get \sqrt{a^2} by multiplying them. And \sqrt{a^2} = a.

So here in the problem, we will get,

[(8x-56x^2)(\sqrt{14x-2})]/(14x-2)

Now in the numerator we have (8x-56x^2). We can check 8x is common there. we will take out -8x from it, we will get,

-8x(-1+7x)

-8x(7x-1)

And in the denominator we have 14x-2. We can check 2 is common there. If we take out 2 from it we will get,

2(7x-1)

So we can write the expression as

[(-8x)(7x-1)(\sqrt{14x-2})]/[2(7x-1)]

(7x-1) is common to the numerator and denominator both, if we cancel it we will get,

(-8x)(\sqrt{14x-2})/2

We can divide -8 by the denominator, as -8 os divisible by 2. By dividing them we will get,

(-4x)(\sqrt{14x-2})

(-4x)(14x-2)^(1/2)

So we have got the required answer here.

The correct option is the last one.

4 0
3 years ago
How do you do this problem? Explain.
Elza [17]

Answer:

The charges will be the same after 4 hours.

Step-by-step explanation:

Total Amount = y

Number of hours = x for x > 2

Garage A: y = $7.00 + (x - 2)*3

Garage B: y = 3.25*x

Part 3: What is the cost to be equal?

3.25x = 7 + 3(x - 2)                     Remove the brackets

3.25x = 7 + 3x - 6                       Collect terms on the right

3.25x = 3x + 1                              Subtract 3x from both sides.

3.25x - 3x = 3x - 3x + 1               Combine

0.25x = 1                                     Divide by 0.25

0.25 x/0.25 = 1 / 0.25            

x = 4 hours.


 

7 0
3 years ago
What is the coefficient of the term of degree 4 in this polynomial?<br> x^8+2x^4 - 4x^3 + x^2-1
never [62]

Answer:

2

Step-by-step explanation:

the coefficient is the number that multiply the letter

5 0
3 years ago
Which expression does NOT show hot Evelyn can find the volume of the box?
Pie
First one. volume is L*W*H and it should be multiplication not addition (the 6+6 on an on) one works because it is adding all the numbers
5 0
3 years ago
Read 2 more answers
What are the zeros of the function below? Check all that apply.
nordsb [41]

F, A.

-3, 1

use a graphing calc

or do

x+3 = 0 or x-1 = 0 to get x = -3 or x = 1


8 0
3 years ago
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