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BARSIC [14]
3 years ago
9

What is 3/4 +100/27 plz tell me i need to know

Mathematics
2 answers:
stepan [7]3 years ago
7 0

Answer:

3

4

+

100

27

=

3

4

+

100

27

=

81

108

+

400

108

=

81+400

108

=

481

108

(Decimal: 4.453704)

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Step-by-step explanation:

Nana76 [90]3 years ago
5 0

Answer:

481/108

Step-by-step explanation:

3/4+100/27

81/108+400/108

481/108

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Find the area and the circumference of a circle with a diameter 8yrd.
nalin [4]

Answer:

Part 1) The area of the circle is A=50.24\ yd^2

Part 2) The circumference of the circle is C=25.12\ yd

Step-by-step explanation:

step 1

The area of a circle is equal to

A=\pi r^{2}

we have

r=8/2=4\ yd ---> the radius is half the diameter

\pi =3.14

substitute

A=(3.14)(4)^{2}

A=50.24\ yd^2

step 2

The circumference of a circle is equal to

C=\pi D

we have

D=8\ yd

\pi =3.14

substitute

C=(3.14)8

C=25.12\ yd

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3 years ago
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2 years ago
Help please calculus
VLD [36.1K]

Let x, y, and z denote the side lengths of the box, with the bottom face having dimensions x-by-y and z is the height. Naturally this means each of x, y, and z must be greater than 0.

The box has a fixed volume of 252 cm³, so

xyz = 252

The surface area of the box is

2xy + 2xz + 2yz

and we're told that the material cost for each face is different. The total cost of the material needed to make the box is given by

C (x, y, z) = ($5/cm²) xy + ($2/cm²) xy + 2 ($3/cm²) (xz + yz)

or, omitting units and simplifying,

C (x, y, z) = 7xy + 6 (x + y) z

In the volume constraint, solve for any one variable; I'll do z.

z = 252/(xy)

Substitute this into the cost function:

C (x, y, 252/(xy)) = 7xy + 1512 (x + y)/(xy)

Since this is now a function of 2 variables, I'll rewrite this as

C* (x, y) = 7xy + 1512 (1/y + 1/x)

Compute the partial derivatives of C and find the critical points:

∂C/∂x = 7y - 1512/x² = 0   ⇒   x² y = 216

∂C/∂y = 7x - 1512/y² = 0   ⇒   x y² = 216

It follows that

x² y = x y²   ⇒   x = y

Just like before, we can think about C* as yet another function but only of 1 variable,

C** (x) = 7x² + 3024/x

Now find the critical points of C** :

dC**/dx = 14x - 3024/x² = 0   ⇒   x = 6

All of this tells us that C (x, y, z) has a critical point when x = y = 6 and z = 252/6² = 7. So the box that costs the least has dimensions 6 × 6 × 7 cm, which gives the box a surface area of 240 cm² and a total cost of $756.

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She needs to find the AREA
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