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Alex Ar [27]
2 years ago
9

Find the area of the square with a side length of 8 ft.

Mathematics
2 answers:
FrozenT [24]2 years ago
7 0

Answer:

The area of square is 64ft².

Step-by-step explanation:

Given that all sides of a square are equal. So you have to apply the formula for area of square :

area = length \times width

let \: length = 8 \\ let \: width = 8

area = 8 \times 8

area = 64  \: {ft}^{2}

Levart [38]2 years ago
3 0

Answer:

here,

side length (l)= 8 ft.

now, area = l^2

a= 8^2

=64ft^2 is the answer..

<em>hope</em><em> </em><em>i</em><em> </em><em>helped</em><em> </em><em>uh</em><em>.</em><em>.</em>

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find two positive real numbers such that they sum to 108 and the product of the first times the square of the second is a maximu
topjm [15]

The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}

Now, differentiate P with respect to x, and we get,

\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}

Solving the above equation to zero, we get,

\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

\begin{aligned}y&=108-36\\y&=72\end{aligned}

Thus, the two positive numbers are 36 and 72.

To know more about positive numbers:

brainly.com/question/1635103

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4 0
1 year ago
Which of the following equations is equivalent to x - y = 5?
Masja [62]

Answer:

6x-6y=30

Step-by-step explanation:

<u><em>The complete options are</em></u>

a) x - 2y = 30

b) 4x - 3y = 30

c) 3x - 4y = 30

d) 6x - 6y = 30

The given equation is

x-y=5

<u>Verify option d</u>

we have

6x-6y=30

Divide by 6 both sides

(6x-6y)/6=30/6

\frac{6x}{6}-\frac{6y}{6}=\frac{30}{6}

x-y=5

therefore

x-y=5  and 6x-6y=30 are equivalent

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3 years ago
Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combined value of $8.85. How many of each do
goblinko [34]
39.00 dollars is your answer.
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What is the mean absolute deviation of the data set? {12, 10, 10, 8, 6, 7, 7, 12}
Simora [160]

Answer:

The MAD of  {12, 10, 10, 8, 6, 7, 7, 12} is 2.

Step-by-step explanation:

<u><em>Step 1 : Add all the values Up:</em></u>

<u><em /></u>12+10+10+8+6+7+7+12=72

<u><em>Step 2 : Divide them by the number of items or numbers:</em></u>

<u><em></em></u>\frac{12+10+10+8+6+7+7+12}{8}=9<u><em></em></u>

<u><em></em></u>

<u><em>Step 3: Find the absolute deviations:</em></u>

<u><em></em></u>12-9=3\\10-9=1\\10-9=1\\9-8=1\\9-6=3\\9-7=2\\9-7=2\\12-9=3\\<u><em></em></u>

<u><em>Step 4: Add all the absolute deviations:</em></u>

3+1+1+1+3+2+2+3=16

<u><em>Step 5: Find the mean:</em></u>

\frac{3+1+1+1+3+2+2+3}{8}=2

7 0
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