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3 years ago

What is the circumference (in inches) of a circle with radius of 5 inches? Use 3.14 for π.

Mathematics

2 answers:

ahrayia [7]3 years ago

5 0

Answer=31.42(rounded to the 100th)

C=2pi(r)

So 2*5=10

Then 10*pi and you get your circumference

sp2606 [1]3 years ago

3 0

Answer:

31.4in

Step-by-step explanation:

A circle's circumference is given by c=2πr.

Using this formula and the given radius (5), we can rewrite the equation to c=2×π×5, and simplify to c=10π.

From there, we want to replace π with 3.14. This gives the equation c=10×3.14.

This can be solved to c=31.4in.

**This content involves the circumference of circles, which you may want to revise. If this is required to be calculated by hand, you may need to revise multiplying with decimals too. I'm always happy to help!

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Complete parts a through c for the given function.

victus00 [196]

Answer:

a. The critcal points are at

$x=0,-5,3$

b. Then, $x = -5$ is a maximum and $x=3$ is a minimum

c. The absolute minimum is at $x = 3$ and the absolute maximum is at $x = -5.$

Step-by-step explanation:

(a)

Remember that you need to find the points where

$f'(x)=0$

Therefore you have to solve this equation.

$20x^4 + 40x^3 - 300x^2 = 0$

From that equation you can factor out $20x^2$ and you would get

$20x^2 ( x^2 +2x - 15) = 0$

And from that you would have $20x^2 = 0$ , so $x = 0$ .

And you would also have $x^2 +2x-15 = 0$ .

You can factor that equation as $x^2 +2x -15 = (x+5)(x-3) = 0$

Therefore $x=-5 , x=3$ .

So the critcal points are at

$x=0,-5,3$

Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

$f''(x) = 80x^3 + 120x^2 -600x\\f''(-5) = 80(-5)^3 + 120(-5)^2 -600(-5) = -4000 < 0\\\\f''(3) = 80(3)^3 + 120(3)^2 -600(3) = 1440 > 0 \\$

Then, $x = -5$ is a maximum and $x=3$ is a minimum

The absolute minimum is at $x = 3$ and the absolute maximum is at $x = -5.$

6 0

3 years ago

Read 2 more answers

What is the area of triangle GHJ

EastWind [94]

A = 1/2 bh = 1/2 (3)(4) = 12/2 = 6

answer is B. 6 square units

4 0

3 years ago

Kinda putting this out here to everyone so you can learn. Don't just click on a person needing help then guess or just put gibbe

ElenaW [278]

Really true. just wanting points is not a reason to mess with someone else.

4 0

4 years ago

Given f(x) = 2x – 3, find the x value such that f(x) = 8.

jok3333 [9.3K]

Answer: 5.5

Step-by-step explanation:

Plugging it into the formula, we get

2x-3 = 8

Add 3 to both sides:

2x = 11

Divide by 2 on both sides:

x = 5.5

4 0

3 years ago

Read 2 more answers

Helen [10]

Answer:

1. ΔUJN ≅ ΔUGN by SAS rule of congruency

2. Side Angle Side Rule of congruency

3. JN ≅ GN, ∠JUN ≅ ∠NUG, ∠UNJ ≅ ∠UNG, NU ≅ NU

4. UN bisects angle ∠JUG and UN bisects segment JG

Step-by-step explanation:

The given figure consists of three triangles

1. ΔUJN, 2. ΔUGN, and 3. ΔUJG

Whereby segment UN is perpendicular to segment JG, we have;

ΔUJN and ΔUGN are right triangles

∴ ∠UNJ = ∠UNG = 90° by definition of segment UN being perpendicular to segment JG

NU ≅ NU by reflexive property

Whereby UN bisects ∠JUG and segment JG, we have;

JN = GN by definition of a bisected segment

Therefore, we have;

1. ΔUJN ≅ ΔUGN by SAS rule of congruency

2. Side Angle Side Rule of congruency

3. JN ≅ GN, ∠JUN ≅ ∠NUG, ∠UNJ ≅ ∠UNG, NU ≅ NU

4. UN bisects angle ∠JUG and UN bisects segment JG

7 0

3 years ago