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harkovskaia [24]
3 years ago
13

Jade Took two free throws a five second Alex took for free throws in 12 seconds did that to shoot free throws at the same rate e

xplain
Mathematics
1 answer:
mote1985 [20]3 years ago
8 0
2÷5 and 4÷12 then find the rate
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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
What is 3/4 divided by 4/3¿
Ghella [55]

Answer:

2 1/12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Burj l Arab Hotel,one of the world's tallest buildings,was finished in 1999.Located in Dubai,it is 1,053 feet high with 60 stori
AlexFokin [52]

Each floor is 3.35 feet taller than each floor of the Aon Center


5 0
3 years ago
Find the area of the parallelogram shown below and choose the appropriate result.
Lisa [10]

Answer:

The area of the parallelogram is 0.1875 mile² ⇒ D

Step-by-step explanation:

The formula of the area of a parallelogram is A = b1 × h1 = b2 × h2, where

  • b1 and b2 are two adjacent sides of it
  • h1 and h2 are the heights perpendicular to these bases

In the given figure

∵ There is a parallelogram

∵ One of its bases is 0.25 mile

∴ b1 = 0.25 mile

∵ the height of this base is 0.75 mile

∴ h1 = 0.75 mile

→ By using the rule of the area above

∴ The area of the parallelogram = 0.25 × 0.75

∴ The area of the parallelogram = 0.1875 mile²

∴ The area of the parallelogram is 0.1875 mile²

6 0
2 years ago
The central angle of a circle is equal in measure to one radian when the corresponding arc length is equal to which of the follo
irinina [24]
The formula to find the arc length L is
L = r*theta
where r is the radius and theta is the central angle in radians (this formula will not work if theta is in degrees)

If the central angle is 1 radian, then theta = 1 and
L = r*theta
L = r*1
L = r
So the arc length is the same as the radius

Answer: Choice A) The radius of the circle
5 0
3 years ago
Read 2 more answers
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