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3 years ago

Help me ASAP plsssssssssssssssss

Mathematics

2 answers:

Irina18 [472]3 years ago

5 0

I believe the answer is A

olchik [2.2K]3 years ago

4 0

Answer:

4 and 9 hundreths

Step-by-step explanation:

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Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 162 square feet

Gnom [1K]

Answer:

The width and length of rectangle is 12.728 m

Step-by-step explanation:

Let the length of the rectangle = L

let the width of the rectangle = W

The subjective function is given by;

F(p) = 2(L + W)

F = 2L + 2W

Area of the rectangle is given by;

A = LW

LW = 162 ft²

L = 162 / W

Substitute in the value of L into subjective function;

$f = 2l + 2w\\\\f = 2(\frac{162}{w} )+2w\\\\f = \frac{324}{w} + 2w\\\\\frac{df}{dw} = \frac{-324}{w^2} +2\\\\$

Take the second derivative of the function, to check if it will given a minimum perimeter

$\frac{d^2f}{dw^2}= \frac{648}{w^3} \\\\Thus, \frac{d^2f}{dw^2}>0, \ since,\frac{648}{w^3} >0 \ (minimum \ function \ verified)$

Determine the critical points of the first derivative;

df/dw = 0

$\frac{-324}{w^2} +2 = 0\\\\-324 + 2w^2=0\\\\2w^2 = 324\\\\w^2 = \frac{324}{2} \\\\w^2 = 162\\\\w= \sqrt{162}\\\\w = 12.728 \ m$

L = 162 / 12.728

L = 12.728 m

Therefore, the width and length of rectangle is 12.728 m

3 0

3 years ago

Solve for x in the equation x2 - 4x-9= 29.

alukav5142 [94]

Answer:

I think the first one

Step-by-step explanation:

7 0

3 years ago

Which of the following equations is correct?

r-ruslan [8.4K]

Answer:

i have the same question someone helppppppp

Step-by-step explanation:

6 0

3 years ago

In your own words, explain HOW to find the standard deviation of this data set. (20 points). What does the standard deviation te

ipn [44]

I need the choices please

6 0

3 years ago

the record for the longest migration is held by the arts tern, which flies a round trip that can be as long as 20,000 miles per

attashe74 [19]

Answer:

<u>It will take an arctic tern 33.33 days or 33 days and 4 hours (rounded to the next hour) to cover a one-way flight of 10,000 miles</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Length of a round trip flight of an arctic tern = 20,000 miles ⇒ one-way flight = 10,000 miles

Miles per hour = 25

Hours of flight per day = 12

2. If the birds flies an average of 25 miles per hour and an average of 12 hours per day, how many days would it take for a one-way flight?

Let's calculate the number of miles per day, this way:

Miles per day = Miles per hour * Hours of flight per day

Miles per day = 25 * 12

Miles per day = 300

Now we calculate the number of days to cover 10,000 miles, a one-way flight from the Arctic to the Antarctic, as follows:

Number of days to cover 10,000 miles = 10,000/Miles per day

Number of days to cover 10,000 miles = 10,000/300

Number of days to cover 10,000 miles = 33.33

<u>It will take an arctic tern 33.33 days or 33 days and 4 hours (rounded to the next hour) to cover a one-way flight of 10,000 miles</u>

6 0

3 years ago