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3 years ago

A cow is tethered with a rope 20 ft long. What is the maximum area the cow can graze?

Mathematics

1 answer:

Vladimir79 [104]3 years ago

4 0

The maximum area the cow can gaze is 1256 square feet

Solution:

Given that a cow is tethered with a rope 20 feet long

To find: Maximum area the cow can graze

The maximum area the cow can gaze is the area of the circle with radius 20 feet

The area of circle is given as:

$area = \pi r^2$

Where, "r" is the radius of circle and $\pi$ is a constant equal to 3.14

Substituting the values in above formula we get,

$area = 3.14 \times 20^2\\\\area = 3.14 \times 400\\\\area = 1256$

Thus the maximum area the cow can gaze is 1256 square feet

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Functions & (f o g) (#)

sertanlavr [38]

Hello there!

I'm assuming since there is no question, that you want an explanation for composite functions.

Today, I want to introduce you to a very new way of looking at functions. Think of a function as a machine. I'll call this machine f. When you plug something into this machine, it is an x-value. The machine changes the x-value into a new value which is called a y-value. This is how a function works.

With composite functions though, things get a little bit tricky. To make f(g(x)), you need to plug in x into the g machine, and it will give you an output. (y-value) The next thing you do is take that y-value and plug it into the g machine. The g machine then gives you a new value. This value is f(g(x)).

Let's do an example together...
f(x)=3x and g(x)=x²+4
if we want f(g(x)), first plug in x to the g machine. when plugging in x to the g machine, we get x²+4 as given in the question.
Now we must plug in g(x) into the f machine. Since g(x) is x²+4, we just replace x with x²+4.
We get 3(x²+4)
This means that f(g(x))=3(x²+4)

NOTE: If you are seeking help with an actual question, please message me in the comments and I will assist you shortly!

I hope this helps!
Best wishes :)

7 0

3 years ago

9. An article was sold at a profit of 12%. Had it been sold for Nu 80 more, there would be a profit of

Kamila [148]

Answer:

The cost price of the article was Nu 1,000

The original selling price was Nu 1,120

The second selling price was Nu 1,200

Step-by-step explanation:

System of Equations

Let's call:

x = Original selling price of the article

y = Cost of the article

The first condition implies that the difference between the selling price and the cost price (the profit) is 12%. Recall the profit % is always calculated with respect to the cost, that is, the profit at the first condition is:

0.12y = Original profit

Setting up the equation, we have:

$x-y=0.12y$

The second condition states the selling price is 80 Nu more than before, that is:

x+80= Second selling price of the article

y = Cost of the article (it doesn't change)

The profit of this condition is 20%, thus:

0.2y = Second profit

This produces a second equation:

$x+80-y=0.2y$

Let's put both equations together to form a system of equations:

$x-y=0.12y$

$x+80-y=0.2y$

Operating on both equations:

$x=1.12y$

$x=1.2y-80$

Equating both equations, we have an equation with only y's:

$1.12y=1.2y-80$

Subtracting 1.2y on each side:

$1.12y-1.2y=-80$

Operating:

$-0.08y=-80$

Solving:

$\displaystyle y=\frac{-80}{-0.08}=1,000$

The cost price of the article was Nu 1,000

b) The selling price of the article will be calculated in both cases:

Original selling price: x=1.12y= 1.12*1000=1,120

The original selling price was Nu 1,120

The second selling price was x+80=1,200

The second selling price was Nu 1,200

8 0

4 years ago

A pair of ordinary dice is rolled. What is the probability that each die will show a number higher than 4. 1. (1/36) 2. (1/12) 3

mihalych1998 [28]

Answer:

the answer is 1/12

Step-by-step explanation:

it is 1/12 because if there are only a pair you would have 2 dice. and since each die has numbers all the way up to 6 all you have to do is add them. and don't count all the numbers. like add 1+2+3+4+5+6. that's just plain wrong just do add the highest number on each die (6+6)

8 0

3 years ago

Please van you work out 5/6 of 54

Talja [164]

Answer:

Step-by-step explanation:

1/6 of 54= 9

9*5=45

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3 years ago

Solve for (0) 12 15 Round to the nearest hundredth

Nataly [62]

Answer:

.014

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3 years ago

A cow is tethered with a rope 20 ft long. What is the maximum area the cow can graze?​

A cow is tethered with a rope 20 ft long. What is the maximum area the cow can graze?