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Olegator [25]
3 years ago
8

The perimeter of a rectangle is 4040 yards. what are the dimensions of the rectangle with maximum area?

Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0
Let x be the length and y be the width2x + 2y = 40x + y = 20change that into y = mx + b formy= 20 – x
Area =xy = x (20-x) = 20x - x^2Area=-x^2+20xcomplete the square:Area=-(x^2 – 20x + 100) +100=-(x - 10)^2 + 100This is an calculation of a parabola that opens downward with vertex at (10,100), which means maximum area of 100 happens when x, the length=10)Dimensions of the rectangle with maximum area? 10 yds. by 10 yds., a square.
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If the point (a,1) lies on the line y = 3x - 5, what is the value of a?
stellarik [79]

Answer:

a = 2

Step-by-step explanation:

Note that a point uses (x , y).

y = 1

x = a

Plug in 1 for y in the equation, and a for x:

y = 3x - 5

1 = 3a - 5

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First add 5 to both sides:

1 (+5) = 3a - 5 (+5)

1 + 5 = 3a

6 = 3a

Next, divide 3 from both sides:

(6)/3 = (3a)/3

a = 6/3

a = 2

2 is your value for a.

~

4 0
3 years ago
Particles are spaced the farthest apart in<br> completes the sentence.
garri49 [273]

Answer:

Particles are spaced the farthest apart in gas

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
2. Graph x &lt; 8 and x &gt; -1.
dimulka [17.4K]

Answer:

I'll try my best in explaining the steps.

Considering both signs are greater than and less than sign, its an open circle.

For the first equation, you would have an open circle, basically one that isn't colored in, on 8 on the number line. The arrow would be pointing to the left because the equation is telling us numbers that are less than 8.

For the second equation, you would have an open circle, basically one that isn't colored in, on -1 on the number line. The arrow would be pointing to the right because the equation is telling us numbers that are greater than -1.

Step-by-step explanation:

7 0
3 years ago
Please find the answer !
algol13

Answer:

ring volume is 12cm3

Step-by-step explanation:

Lr ccm=volume of water and ring - Volume of water

ring cubic centimeters =x

x=9.2cm*4.5cm*7cm - 8.8cm*4.5cm*7cm

x=289.2cm3 - 277.2cm3

x=12cm3

4 0
3 years ago
You have been averaging 55 sales per day. Per our new policy, everyone needs to increase his or her sales per day by 10% in the
Mariulka [41]
To find your new number of sales per month, you will need to find the number of sales you have per month (based on 30 days per month).  

55 x 20 = 1650 sales.

Than, you will need to calculate what 10% of this is and add it to your original sales number.

0.1 (10%) x 1650 = 165

1650 + 165 = 1815

You will need approximately 1815 sales based on the 30 day month.
8 0
3 years ago
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