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ivann1987 [24]
3 years ago
15

Find the dimensions of the rectangle with area 289 square inches that has minimum perimeter, and then find the minimum perimeter

.
Mathematics
1 answer:
nalin [4]3 years ago
4 0
 <span>To minimize the perimeter you should always have a square. 
sqrt(289) = 17 
The dimensions should be 17 X 17 

To see , try starting at length 1, and gradually increase the length. 
The height decreases at a faster rate than the length increases, up until you reach a square. 

Or if you want to use algebra, Say the width is 17-x 
Then the length is 289/(17-x) 

Now, this is bigger than 17+x, as shown here: 
289/(17-x) > 17+x 
289 > 289 - x^2 
which is true. 
so the perimeter would be bigger than 2 * (17- x + 17 + x) = 2 * (2 * 17) = 4 * 17 

Again, the dimensions should be a square. 17 X 17.</span>
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Please Help!
JulijaS [17]

Answer:8865=6000(1+\frac{5\times t}{100})

Step-by-step explanation:

Given

Liam deposited P=\$\ 6000

Rate of interest is R=5\ \%

If the amount after t years is A=\$\ 8865

Simple interest is given by

S.I.=\dfrac{P\times R\times t}{100}

And amount is

A=P+S.I.

A=P(1+\frac{R\times t}{100})

Substituting values we get

8865=6000(1+\frac{5\times t}{100})

1.4775=1+\frac{5\times t}{100}

0.4775\frac{5\times t}{100}

5t=47.75

t=\frac{47.75}{5}=9.55\ years

8 0
3 years ago
A book is 0.33 meters long. How many millimeters long is it?
Phoenix [80]

we know that

1\ meter=1,000\ millimeters

so

by proportion

Find how many millimeters are in 0.33 meters

\frac{1,000}{1} \frac{mm}{m} =\frac{x}{0.33} \frac{mm}{m} \\ \\x=1,000*0.33 \\ \\ x=330\ mm

therefore

<u>the answer is</u>

330\ mm

7 0
3 years ago
If I have something like -x^2 when I plug the number in, will it be positive or negative and why
MrRissso [65]
The order of operations tells you exponentiation is done before multiplication or addition. That is, the value of x is squared before the sign is applied.

Your result will be negative for any non-zero value of x.
4 0
3 years ago
A train traveled 450 kilometers (450 km) east from its starting point for 9 hours (9 h). What was the average speed of the train
elixir [45]

Answer:

You need to find the average for your numbers

Step-by-step explanation:

4 0
3 years ago
3. <br> Which is the graph of the function y = 2(4)x?
valentinak56 [21]
This would simply be y=8x. Which is not one of the options. Are you sure that is the function?
3 0
2 years ago
Read 2 more answers
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