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zhuklara [117]
3 years ago
15

Find the length and width of a rectangle that has the given perimeter and a maximum area. perimeter: 28 meters

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0
The perimeter is given by:
 P = 2x + 2y = 28
 The area is given by:
 A = x * y
 Writing the area based on x we have:
 A (x) = x * (14-x)
 Rewriting:
 A (x) = 14x-x ^ 2
 Deriving we have:
 A '(x) = 14-2x
 We equal zero and clear x:
 14-2x = 0
 x = 14/2
 x = 7
 We are now looking for the other dimension:
 y = 14-x
 y = 14-7
 y = 7
 Answer: The length and width of a rectangle that has the given perimeter and a maximum area are:
 
y = 7 meters
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When the speed limit was 55 mph, Bob could cover 400 miles in a day's driving. After the speed limit went up to 70 mph, how far
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Answer:

See below

Step-by-step explanation:

The question is missing information:  " . . . how far would he go in an <u>???"</u>

<u></u>

If the question is how far he would go in a [Pick a despised car model} ?  The answer is still 400.  The car would break down.

If the question is how far would he go in the same amount of time:

Whe the speed limit was 55, it would take Bob (55 miles/hr)*(X hr) = 400 miles

X = 7.273 hours to go 400 miles at 55 mph.

A speed limit of 70 mph would allow Bob the go:

    (70 miles/hour)*(7.272 hours) = 509.1 miles

4 0
2 years ago
A tree initially measured 18 feet tall. Over the next 312 years, it grew to a final height of 3512 feet. During those 312 years,
Leni [432]

Answer:

Average growth= 11.20 feet

Step-by-step explanation:

<u>First, we need to calculate the total growth during those 312 years:</u>

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<u>Now, the average growth:</u>

<u>Average growth= total growth / number of years</u>

Average growth= 3,494 / 312

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8 0
3 years ago
The table shows the percentage of total athletes at a school that play certain sports. Each athlete only plays one sport. twenty
denpristay [2]
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5 0
4 years ago
I need help with both of these someone please help me . you’ll get 20 brainly points !!
Orlov [11]

Answer:

First question: 42cm^2

Second question:

whole figure: 150 cm^2

blue part: 96cm^2

white part:54cm^2

Step-by-step explanation:

Lets do math:

look you gave me alot to do but lets go:

Question 1:

lets find the area of the whole rectangle without the parts taken away.

6*10-60

lets put that away for a little bit and move onto the empty space that we have to take away from the rectangle to get this shape.

im now going to subtract 2 from 10 to get 8. I did this to find out the a length

8*3=24

18 is the area of the shape that we have to subtract from the big rectangle

lets now take out the area we put away for a little while.

60-18=42

so 42 is the area of the first shape.

Question #2:

This problem needs multiple answers so lets get started.

first we need to find the area of the big rectangle.

10*15=150

lets put that away for a little bit.

now lets find the area of the little rectangle

6*9=54

to find the blue we have to subtract 54 from 150 which is 96

so now we have this:

area of the whole figure:150

area of the shaded rectangle inside (white): 54

area of the shaded rectangle (blue): 96

phew that was a lot of typing

the end

8 0
4 years ago
WILL MARK BRAINLIEST <br> What is the value of j?
LenKa [72]
I physically cannot tell you
4 0
3 years ago
Read 2 more answers
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