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3 years ago

9

A square concert stage in the center of a fairground has an area of 4x^2 + 12x +9 ft^2. The dimensions of the stage have the for

m cx+d where c and d are whole numbers. Find and expression for the perimeter of the stage. What is the perimeter when x = 2 ft?

1 answer:

mezya [45]3 years ago

7 0

Answer:

(8x+12) feet.The perimeter when x=2ft is 28 feet.

Step-by-step explanation:

The solution is in the attached file.

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20 pts and brainliest awarded, plz help asap !!!!!!<br><br> see picture

marta [7]

Answer:

B.

Step-by-step explanation:

All you have to do is replace x with (a+2) on the right side.

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3 years ago

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_____ uses established rules to draw conclusions, whereas in _____, such rules are not established, and we may not know the cons

aliina [53]

Answer:

Reasoning, Decision making

Step-by-step explanation:

The reasoning is the process of mental. In the process, reasoning needs a reason for establishing the facts. This is a cognitive process. All people engage in reasoning due to their ability to introspection. The reasoning is different in every field in every aspect.

The cognitive process plays a role in both reasoning and decision making. These both are the sub-field creative thinking. Many factors create a barrier in decision making such as incomplete information, emotional and physical resources.

Thus when we may not know the consequences we used both reasoning and decision making.

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3 years ago

A cafe only sells two types of sandwiches, turkey and steak. The cafe charges $4 for turkey sandwiches and $6 for steak sandwich

valkas [14]

Answer:

513 turkey sandwiches were sold.

Step-by-step explanation:

Let's use $x$ to represent turkey sandwiches and $y$ to represent steak sandwiches.

$x$ = turkey sandwiches

$y$ = steak sandwiches

$x + y = 925$ total sandwiches that were sold

$4x + 6y = 4524$ dollars that were made

$x + y = 925\\y = 925 - x$

Now that we know what $y$ (steak sandwiches) equals, we plug it in to an equation to find $x$ .

$4x + 6(925-x) = 4524\\4x + 5550 -6x=4524\\$

Now, we subtract 5,550 from BOTH sides so we can get x by itself.

$-2x + 5550 - 5550 = 4524 - 5550\\-2x = -1026$

Next, we divide both sides by 2, so x is bare.

$\frac{2x}{2} = \frac{1026}{2}$

$x = 513$

Since x represents turkey sandwiches, we have our answer: 513 turkey sandwiches were sold.

I hope this helps! :)

3 0

2 years ago

Simplify the radical expression by rationalizing the denominat o 3/11

8090 [49]

Do you mean 3/√11 ? In this case, you'll have to multiply both, numerator and denominator by the denominator ...

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3 years ago

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A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s

Setler [38]

Answer:

$310\text{ feet and }210\text{ feet}$

Step-by-step explanation:

GIVEN: A farmer has $520 \text{ feet}$ of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is $310 \text{ feet}$ .

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be $x$ and $y$

perimeter of rectangular pen $=2(x+y)=520\text{ feet}$

$x+y=260$

$y=260-x$

area of rectangular pen $=\text{length}\times\text{width}$

$=xy$

putting value of $y$

$=x(260-x)$

$=260x-x^2$

to maximize $\frac{d \text{(area)}}{dx}=0$

$260-2x=0$

$x=130\text{ feet}$

$y=390\text{ feet}$

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen $=310\text{ feet}$

width of rectangular pen $=210\text{ feet}$

Maximum area of rectangular pen $=310\times210=65100\text{ feet}^2$

Hence maximum area of rectangular pen is $65100\text{ feet}^2$ and dimensions are $310\text{ feet and }210\text{ feet}$

5 0

3 years ago