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babunello [35]
3 years ago
7

The perimeter of the rectangle is 32 m one side is 11 m long what is the length of the missing side

Mathematics
1 answer:
Minchanka [31]3 years ago
8 0

Answer:

The length of the missing side is 5 m

Step-by-step explanation:

In order to find this, use the perimeter formula.

P = 2L + 2W

Now input 11 as the L and 32 as P

32 = 2(11) + 2W

32 = 22 + 2W

10 = 2W

5 = W

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Suppose a rectangular pasture is to be constructed using 1 2 linear mile of fencing. The pasture will have one divider parallel
timama [110]

Answer:

\displaystyle A=\frac{1}{192}

Step-by-step explanation:

<u>Maximization With Derivatives</u>

Given a function of one variable A(x), we can find the maximum or minimum value of A by using the derivatives criterion. If A'(x)=0, then A has a probable maximum or minimum value.

We need to find a function for the area of the pasture. Let's assume the dimensions of the pasture are x and y, and one divider goes parallel to the sides named y, and two dividers go parallel to x.

The two divisions parallel to x have lengths y, thus the fencing will take 4x. The three dividers parallel to y have lengths x, thus the fencing will take 3y.

The amount of fence needed to enclose the external and the internal divisions is

P=4x+3y

We know the total fencing is 1/2 miles long, thus

\displaystyle 4x+3y=\frac{1}{2}

Solving for x

\displaystyle x=\frac{\frac{1}{2}-3y}{4}

The total area of the pasture is

A=x.y

Substituting x

\displaystyle A=\frac{\frac{1}{2}-3y}{4}.y

\displaystyle A=\frac{\frac{1}{2}y-3y^2}{4}

Differentiating with respect to y

\displaystyle A'=\frac{\frac{1}{2}-6y}{4}

Equate to 0

\displaystyle \frac{\frac{1}{2}-6y}{4}=0

Solving for y

\displaystyle y=\frac{1}{12}

And also

\displaystyle x=\frac{\frac{1}{2}-3\cdot \frac{1}{12}}{4}=\frac{1}{16}

Compute the second derivative

\displaystyle A''=-\frac{3}{2}.

Since it's always negative, the point is a maximum

Thus, the maximum area is

\displaystyle A=\frac{1}{12}\cdot \frac{1}{16}=\frac{1}{192}

6 0
3 years ago
A soda company had sales of $35,107 million in 2010 and $45,992 million in 2014. Use the Midpoint Formula to estimate the sales
Dima020 [189]

Answer:

40,550

Step-by-step explanation:

40, 550 is the mod point

8 0
2 years ago
AABC has vertices at A(1, -9), B(8,0), and C(9,-8).
Rainbow [258]

Check the picture below.

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B(\stackrel{x_1}{8}~,~\stackrel{y_1}{0})\qquad C(\stackrel{x_2}{9}~,~\stackrel{y_2}{-8}) ~\hfill BC=\sqrt{[ 9- 8]^2 + [ -8- 0]^2} \\\\\\ BC=\sqrt{1^2+(-8)^2}\implies \boxed{BC=\sqrt{65}}

now, we could check for the CA distance, however, we already know that AB ≠ BC, so there's no need.

6 0
2 years ago
A oil well is drilled at -175 meters ever 12 hours . How deep is the well after 15 hours of constant work. Numeric answers only
NikAS [45]

Answer:

-37.5 m

Step-by-step explanation:

If we assume that "one full day" is 24 hours, then 15 hours represents the fraction 15/24 of a day. Since the drilling rate was constant, and was presumed to start from a height of 0, the height after 15 hours is that fraction of the day's work:

... (15/24)×(-60 m) = -37.5 m

6 0
3 years ago
Read 2 more answers
Emily kicked the ball in 1 straight direction , it went 10 ft reversed direction and come back to her , how is this possible ?
nydimaria [60]

Answer:

She kicked it up

Step-by-step explanation:

How is this math?

3 0
3 years ago
Read 2 more answers
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