Malcolm wanted to build a dog run with an area of 64. What is the smallest perimeter the dog run could be

Answers

Answer 1

Answer:
If it needs to be a rectangle, then the rectangle with the smallest perimeter for
a given area is the square. He needs 32 feet of fence, and should fence off a
square that's 8 x 8 .

But if he's willing to go to the trouble, the perimeter of a circle with the same area
is even less than the square.

A = (pi) (R²)
R = √(64/pi).

Circumference = (2 pi) (R) = 2 pi √(64/pi) = √(256 pi) = 28.359 (rounded).

That's 11.4% less fence to buy, for a circular run.

But on the other hand, what have you got against the dog ? One of
the two main purposes of a dog run is to give the dog a place to run.
Minimizing the perimeter also minimizes the distance where he can get
up some speed and run in a straight line ... freeing up his hips, clearing
the cobwebs from his brain, smelling the air, keeping his claws nice and
worn down. With the emotional well-being of the dog in mind, I'd expect
you'd want to give him the maximum possible straight route inside the
run, which, unfortunately, also maximizes the amount of fence that Malcolm
has to provide.

But I digress. The math is done. The question is answered.
This case is closed.

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What are the coordinates of the image of the point (2, –6) under a dilation with a center of (0, 0) and a scale factor of 1/2.A.(0, 0)B.(1, –3)C.(2, –6)D.(4, –12)

An eReader factory has revenues which follow the formula R=x squared + 2400x - 1,320,000, Where x is the number of eReaders sold each month. If thefactory had $80,000 in revenue last month and only has the resources to produce up to 1300 eReaders in a single month, how many eReaders were sold? Show all steps and answers

Answers

If the revenue last month was 80,000, then

   80,000 = x² + 2,400x - 1,320,000

That's the only glimmer of intelligence required to answer this question.
The rest is all a matter of solving this quadratic equation.

Subtract 80,000 from each side: x² + 2,400x - 1,400,000 = 0

This ugly thing may be factorable, but I'm not going to wander around
looking for factors. I'm going straight to the quadratic formula.
With that, I get the solutions:

   x = -1200 + or - √2,840,000

   x = 485.2
and
   x = -2,885.2

The solution that has physical significance is the first one: 485 .

When I saw the requirement that the answer must be 1300 or less,
I expected to find that both solutions to the quadratic equation were
positive, and that one of them was greater than 1300. But that didn't
happen. 485 (rounded) is the only positive solution. That's my answer,
and I'm sticking to it.

Write the equation of the line that has a y-intercept of (0,4) and a slope of 2.

Answers

Answer:

y=2x+4

Step-by-step explanation:

the y-intercept is the y value of the point given. in the slope form, 2 would be your m

Six times the sum of a number and eight is 30. Find the number

Answers

Answer:

-3

Step-by-step explanation:

to the following equation:

6(x + 8) = 30

Now, we need to solve this equation for x. First, distribute the 6 on the left side of the equation:

6x + 48 = 30

Next, isolate the variable x by subtracting 48 from both sides of the equation:

6x = 30 - 48

6x = -18

Finally, divide both sides by 6 to solve for x:

x = -18 / 6

x = -3

So, the number is -3.

7 1/5 x 10 5/12
Please solve

Answers

70 5/60

hope this helps

Change to improper fractions.
(36/5) * (125/12)
Cross simplify.
(3/1)* (25/1) = 75

Debra can run two and a half miles into 1/4 hour how many miles per hour can she run

Answers

Debra can run 10 miles per hour

Answer:

Debra can run 10 miles per hour

Step-by-step explanation:

2.5 times 4 = 10

How do you calculate the daily periodic rate?

Answers

Answer:

First we need to know what's APR.

APR refers to a annual periodic rate that's charged in a credit card. It changes depending on the company. So, the daily periodic rate can be calculated by dividing the APR of the credit car by 360 or 365, depending on the credit card companies.

So, basically, you need to call the company and ask about the APR and ask if the use 360 or 365 days to calculate the daily periodic rate, then do the division.

A daily periodic interest rate is calculated by dividing the annual percentage rate, or APR, by either 360 or 365, depending on the card issuer.

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