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2 years ago

A children's ride at the amusement park has a rule that a person must be

Mathematics

1 answer:

Sergeeva-Olga [200]2 years ago

3 0

Answer: the answer would be X<4

Step-by-step explanation: tell me if im wrong and i hope this helps you!

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Surface area of a 4m and 4m and 4m cube

jeka94

Answer: 96 m²

Step-by-step explanation: Surface area is the sum of the areas of all of the faces of a 3-dimensional figure.

So to find the surface area of a cube, it's important to understand that each face of a cube has the same area so we can simply find the area of one face of a cube and multiply by the number of faces which is 6.

To find the area of one face of a cube, we can use the formula for the area of a square which is S².

Since the length of a side is 4 meters, we have (4 m)² or 4 meters x 4 meters which is 16 m².

Now, since there are six sides to a cube, we have 6 (16 m)² which is equal to 96 m². So the surface area of the cube is 96 m².

6 0

3 years ago

Read 2 more answers

5 divided by what equals 9

Effectus [21]

5 divided by 45 equals 9

3 0

3 years ago

Read 2 more answers

In verbal expression

AlladinOne [14]

Variable squared minus negative 2

8 0

3 years ago

Write an equation to model the total charge y (in dollars) in terms of x (the number of miles), A car rental

dangina [55]

Answer: the answer is C: y=4x+25

Step-by-step explanation:

25= B which is the initial charge and being that no other answer has a matching response, I connected the clues.

6 0

3 years ago

Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre

andrew-mc [135]

Answer:

The area function is

$A=\frac{135}{2}x-\frac{9}{2}x^2$ .

The domain and range of A is $(0,15m)$ and $(0, 253.125 m^2]$ .

Step-by-step explanation:

The given length of fencing is $90 m$ .

Let the length and width of each pen be $x$ and $y$ respectively as shown in the figure.

As there are 3 pens, so, the total area,

$A= 3 xy \;\cdots (i)$

From the figure the total length of fencing is $6x+4y$ .

Here, for a significant area for the animals, $x>0$ as well as $y>0$ as $x$ and $y$ are the sides of ben.

From the given value:

$6x+4y=90\;\cdots (ii)$

$\Rightarrow y=\frac {45}{2}-\frac{3x}{2}$

Now, from equation (i)

$A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)$

$\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)$

This is the required area function in the terms of variable $x$ .

For the domain of area function, from equation (ii)

$x=15-\frac{2y}{3}$

$\Rightarrow x$ [as y>0]

So, the domain of area function is $(0,15m)$ .

For the range of area function:

As $x \rightarrow 0$ or $y\rightarrow 0$ , then $A\rightarrow 0$ [from equation (i)]

$\Rightarrow A>0$

Now, differentiate the area function with respect to $x$ .

$\frac {dA}{dx}=\frac{135}{2}-9x$

Equate $\frac {dA}{dx}$ to zero to get the extremum point.

$\frac {dA}{dx}=0$

$\Rightarrow \frac{135}{2}-9x=0$

$\Rightarrow x=\frac{15}{2}$

Check this point by double differentiation

$\frac {d^2A}{dx^2}=-9$

As, $\frac {d^2A}{dx^2}$ , so, point $x=\frac{15}{2}$ is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

$A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2$

$\Rightarrow A=253.125 m^2$

Hence, the range of area function is $(0, 253.125 m^2]$ .

4 0

3 years ago