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Luda [366]
3 years ago
14

Find the exact circumference of a circle with the given radius. 5 inches C = 2.5 in. 10 in. 25 in.

Mathematics
2 answers:
notsponge [240]3 years ago
8 0
If the given radius is 5 inches, then the circumference, C is 2pi r, or 2pi(5 inches) = 10pi inches.  You MUST include pi in your calculation of C.
Kobotan [32]3 years ago
7 0

Answer: The exact circumference of the circle is 10\pi[\tex] in.Step-by-step explanation:Since, the circumference of a circle is,[tex]C=2\pi r

Where, r is the radius of the circle,

Here, r = 5 inches,

Hence, the circumference of the circle is,

C = 2\pi(5) = 10\pi\text{ in}

Thus, The exact circumference of the circle is [tex]10\pi[\tex] in.

You might be interested in
18n squared + 57n -10
aniked [119]
Most people use the decomposition method but i dont know how to do that so i use the Joes method a method similar to decomp. but easier.
canadian way

Find gcf: None
complet trinomial: 18n^2+57-10
find the product=10(18)
                       =-180
find the sum     =57
-3 and 60 goes into both meaning if you multiply 3 and60 you get -180 and if you add them you get 57.

so (n-3)(n+60)
divide by a in this case it 18
so (n<u>-3</u>)(n+<u>60</u>)
       18     18
do not divide. treat it like a fraction so you reduce it to lowest terms
(n<u>-3</u>)(n<u>-3)
</u>   18   10
<u /> at this point its reduced to lowest terms so now you take the deniminator and move it beside the "n"

=(18n-3)(10n-3)

therefore your answer is (18n-3)(10n-3)
I hoped this helped :)
3 0
3 years ago
each classroom in willett hall will hold 34 students.There are 4 floors with 6 classroom on each floor. How many students can be
ozzi

4 floors with 6 class rooms each = 6*4 = 24 total class rooms.

24 class rooms x 34 students in each one = 816 total students.

4 0
3 years ago
Read 2 more answers
. Use Lagrange multipliers to find the maximum and minimum values of the function, f, subject to the given constraint, g. (Place
zzz [600]

Answer:

Minimum value of f(x, y, z) = (1/3)

Step-by-step explanation:

f(x, y, z) = x⁴ + y⁴ + z⁴

We're to maximize and minimize this function subject to the constraint that

g(x, y, z) = x² + y² + z² = 1

The constraint can be rewritten as

x² + y² + z² - 1 = 0

Using Lagrange multiplier, we then write the equation in Lagrange form

Lagrange function = Function - λ(constraint)

where λ = Lagrange factor, which can be a function of x, y and z

L(x,y,z) = x⁴ + y⁴ + z⁴ - λ(x² + y² + z² - 1)

We then take the partial derivatives of the Lagrange function with respect to x, y, z and λ. Because these are turning points, each of the partial derivatives is equal to 0.

(∂L/∂x) = 4x³ - λx = 0

λ = 4x² (eqn 1)

(∂L/∂y) = 4y³ - λy = 0

λ = 4y² (eqn 2)

(∂L/∂z) = 4z³ - λz = 0

λ = 4z² (eqn 3)

(∂L/∂λ) = x² + y² + z² - 1 = 0 (eqn 4)

We can then equate the values of λ from the first 3 partial derivatives and solve for the values of x, y and z

4x² = 4y²

4x² - 4y² = 0

(2x - 2y)(2x + 2y) = 0

x = y or x = -y

Also,

4x² = 4z²

4x² - 4z² = 0

(2x - 2z) (2x + 2z) = 0

x = z or x = -z

when x = y, x = z

when x = -y, x = -z

Hence, at the point where the box has maximum and minimal area,

x = y = z

And

x = -y = -z

Putting these into the constraint equation or the solution of the fourth partial derivative,

x² + y² + z² = 1

x = y = z

x² + x² + x² = 1

3x² = 1

x = √(1/3)

x = y = z = √(1/3)

when x = -y = -z

x² + y² + z² = 1

x² + x² + x² = 1

3x² = 1

x = √(1/3)

y = z = -√(1/3)

Inserting these into the function f(x,y,z)

f(x, y, z) = x⁴ + y⁴ + z⁴

We know that the two types of answers for x, y and z both resulting the same quantity

√(1/3)

f(x, y, z) = x⁴ + y⁴ + z⁴

f(x, y, z) = (√(1/3)⁴ + (√(1/3)⁴ + (√(1/3)⁴

f(x, y, z) = 3 × (1/9) = (1/3).

We know this point is a minimum point because when the values of x, y and z at turning points are inserted into the second derivatives, all the answers are positive! Indicating that this points obtained are

S = (1/3)

Hope this Helps!!!

6 0
3 years ago
PLZ HELP !!! THIS TEST IS VERY IMPORTANT!!!!
andrew11 [14]

Answer:

E=20H

Step-by-step explanation:

E =20 when H=1

there fore the amount he receives per working time will be 20*H

8 0
3 years ago
Read 2 more answers
How do I find the displacement? Help frl
liubo4ka [24]

Answer:

  • distance traveled: 30 m
  • displacement: 21.4 m

Step-by-step explanation:

You want the distance traveled and the displacement after walking 17 m south and 13 m east.

<h3>Distance</h3>

The distance traveled is the sum of the lengths of each leg of the trip:

  17 m + 13 m = 30 m

You have traveled a distance of 30 m.

<h3>Displacement</h3>

The displacement is the distance from your final position to your starting position. If you draw a diagram of the journey, you see the displacement is the hypotenuse of a right triangle with legs 17 m and 13 m. The Pythagorean theorem can help you find this length:

  h = √(a² +b²)

  h = √(17² +13²) = √(289 +169) = √458 ≈ 21.401

At the end of your walking, you are 21.4 m from where you started.

5 0
2 years ago
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