NEED HELP ASAP PLEASE!!

You have 200 meters of fencing. What triangle will result in the maximum fence-able area? What is that area?

ikadub [295]

Answer:

It will be an equilateral triangle and the area is 1924.5 sq. meters.

Step-by-step explanation:

If the total length of the fencing of 200 meters is utilized then the perimeter of the triangle will be 200 meters.

Now, we know that the type of triangle that gives the maximum area for a given perimeter is an equilateral triangle.

So, the equilateral triangle with a perimeter of 200 meters will have side lengths of $\frac{200}{3}$ meters.

Now, the area of an equilateral triangle with sides a units is given by $\frac{\sqrt{3}}{4} a^{2}$ sq. units.

So, the area of the above equilateral triangle will be = $\frac{\sqrt{3}}{4}\times (\frac{200}{3})^{2} = 1924.5$ sq. meters. (Answer)

7 0

3 years ago

Alison is preparing for a math contest. Each day she works on multiplication problems for 20 minutes and division problems for 1

Alexxandr [17]

600 minutes (10 hours)

6 0

3 years ago

Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = ta

Irina-Kira [14]

Answer:

The inner function is $u = \pi x$ .

The outer function is $f(u) = \tan{u}$ .

$\frac{dy}{dx} = y^{\prime} = \sec^{2}(u)*\pi = \pi\sec^{2}{\pi x}$

Step-by-step explanation:

The inner function is the one we apply the outer function to.

So

$y = \tan{\pi x}$

We apply the outer function tangent to $\pi x$ .

So, the inner function is $u = \pi x$ .

The outer function is $f(u) = \tan{u}$ .

The derivative of a compositve function

$y = f(u)$ in which $u = g(x)$ is given by the following function.

$y^{\prime} = f^{\prime}(u)*g^{\prime}(x)$

So

$f(u) = \tan{u}$

$f^{\prime}(u) = \sec^{2}{u}$

$u = g(x) = \pi x$

$g^{\prime}(x) = \pi$

So

$y^{\prime} = f^{\prime}(u)*g^{\prime}(x)$

$\frac{dy}{dx} = y^{\prime} = \sec^{2}(u)*\pi = \pi\sec^{2}{\pi x}$

7 0

2 years ago

which expression DOES NOT represent a square root of a perfect square integer? A) 100 B) 64 C) 81 D) 89

Ipatiy [6.2K]

Its 89 because 9 times 2 is 81 and 10 times 2 is 100 there nothing to multiple 2 by something to get 89

4 0

3 years ago

Read 2 more answers

What is the constant of proportionality as a decimal? *

irakobra [83]

Answer:

qhttps://goo.gl/search/what+is+the+constant+of+proportionality

Identifying the Constant of Proportionality - Video & Lesson ... The constant of proportionality is the ratio between two directly proportional quantities. In our tomato example, that ratio is $3.00/2, which equals $1.50. Two quantities are directly proportional when they increase and decrease at the same rate.

7 0

3 years ago