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Tomtit [17]
3 years ago
10

Someone please help

Mathematics
2 answers:
dusya [7]3 years ago
8 0

Answer:

Step-by-step explanation:

∠D≅∠N

because if you write them in the same order they will be coresponding parts

Nookie1986 [14]3 years ago
3 0

Answer:

<D=<N

Step-by-step explanation:

Corresponding angle, both in third digit, others are in different digits.

PLS GIVE BRAINLIEST

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a mailing tube in the shape of cylinder has a height of 24 inches and a radius of 3 inches. what is the volume, in cubic inches,
TiliK225 [7]

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The volume of the mailing tube is 678.6 square inches to the nearest tenth.

EXPLANATION

The volume of a cylinder is calculated using the formula;

V=\pi \:  {r}^{2} h

Since the mailing tube is in the form of a cylinder, we use this formula to find its volume.

We substitute h=24 and r=3 to obtain,

V=\pi \times {3}^{2} \times 24

V=216\pi  {in}^{2}

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3 years ago
A sandbox in the shape of a rectangular prism is 2 feet deep and 6 feet wide. Filled to the top it can hold 72 cubic feet of san
Sedbober [7]

Answer:

height=6 ft

Step-by-step explanation:

-The volume of a rectangular prism is given by the formula:

V=lwh

#We make h the subject of the formula the solve for it:

V=lwh\\\\\frac{V}{lw}=h\\\\\therefore h=\frac{V}{lw}

#Substitute to solve for height:

h=\frac{V}{lw}\\\\=\frac{72}{2\times 6}\\\\=6\ ft

Hence, the prism has a height of 6 ft.

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For f(x) = 4x +1 and g(x) = x2 -5, find (f 3)(x).
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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.

6 0
2 years ago
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