Which of the following represents a function?

An arc subtends a central angle measuring \dfrac{\pi}{2}

Agata [3.3K]

Arc Length is 1/4th of the circumference .

Step-by-step explanation:

Here we need to find fraction of the circumference is this arc when An arc subtends a central angle measuring $\dfrac{\pi}{2}$ radians ! Let's find out :

We know that circumference of an arc subtending a central angle of x is :

⇒ $Arc = \frac{Angle}{360}(2\pi r)$

⇒ $Arc = \dfrac{\frac{\pi}{2}}{360}(2\pi r)$

⇒ $Arc = \frac{90}{360}(2\pi r)$

⇒ $Arc = \frac{90}{90(4)}(2\pi r)$

⇒ $Arc = \frac{1}{4}(2\pi r)$

⇒ $Arc = \frac{1}{4}(Circumference)$

Therefore , Arc Length is 1/4th of the circumference .

4 0

2 years ago

4. Find the distance between the points (7,-6) and (4, -3)

quester [9]

Answer:

Step-by-step explanation:

3 sqrt2

5 0

2 years ago

Read 2 more answers

Simplify.

dimaraw [331]

Answer is (D). -6-7x. Or to play with it a lil bit -7x-6. The numbers and coefficients and signs are all correct doesn’t matter how you form them unless “they” disagree with it

8 0

2 years ago

Read 2 more answers

Please round this number to the second decimal: 113.097335529233

beks73 [17]

Answer:

113.1

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

How to solve (4x 3 + 7y 3z 4) 2

DedPeter [7]

My work:

Simplifying (4x3 + 7y3z4)(4x3 + 7y3z4) = 0 Multiply (4x3 + 7y3z4) * (4x3 + 7y3z4) (4x3 * (4x3 + 7y3z4) + 7y3z4 * (4x3 + 7y3z4)) = 0 ((4x3 * 4x3 + 7y3z4 * 4x3) + 7y3z4 * (4x3 + 7y3z4)) = 0 Reorder the terms: ((28x3y3z4 + 16x6) + 7y3z4 * (4x3 + 7y3z4)) = 0 ((28x3y3z4 + 16x6) + 7y3z4 * (4x3 + 7y3z4)) = 0 (28x3y3z4 + 16x6 + (4x3 * 7y3z4 + 7y3z4 * 7y3z4)) = 0 (28x3y3z4 + 16x6 + (28x3y3z4 + 49y6z8)) = 0 Reorder the terms: (28x3y3z4 + 28x3y3z4 + 16x6 + 49y6z8) = 0 Combine like terms: 28x3y3z4 + 28x3y3z4 = 56x3y3z4 (56x3y3z4 + 16x6 + 49y6z8) = 0 Solving 56x3y3z4 + 16x6 + 49y6z8 = 0 Solving for variable 'x'. Factor a trinomial. (4x3 + 7y3z4)(4x3 + 7y3z4) = 0 Subproblem 1Set the factor '(4x3 + 7y3z4)' equal to zero and attempt to solve: Simplifying 4x3 + 7y3z4 = 0 Solving 4x3 + 7y3z4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y3z4' to each side of the equation. 4x3 + 7y3z4 + -7y3z4 = 0 + -7y3z4 Combine like terms: 7y3z4 + -7y3z4 = 0 4x3 + 0 = 0 + -7y3z4 4x3 = 0 + -7y3z4 Remove the zero: 4x3 = -7y3z4 Divide each side by '4'. x3 = -1.75y3z4 Simplifying x3 = -1.75y3z4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. Subproblem 2Set the factor '(4x3 + 7y3z4)' equal to zero and attempt to solve: Simplifying 4x3 + 7y3z4 = 0 Solving 4x3 + 7y3z4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y3z4' to each side of the equation. 4x3 + 7y3z4 + -7y3z4 = 0 + -7y3z4 Combine like terms: 7y3z4 + -7y3z4 = 0 4x3 + 0 = 0 + -7y3z4 4x3 = 0 + -7y3z4 Remove the zero: 4x3 = -7y3z4 Divide each side by '4'. x3 = -1.75y3z4 Simplifying x3 = -1.75y3z4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
Hope that this help you! =)

8 0

3 years ago