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Verizon [17]
4 years ago
12

A holding pen for cattle must be square and have a diagonal length of 84 84 meters.

Mathematics
1 answer:
lapo4ka [179]4 years ago
4 0
We know that
Applying the Pythagoras Theorem
c²=a²+b²
in a square
a=b
c is the diagonal-----> 84 m
c²=2a²--------> a²=c²/2-----> a²=84²/2-----> a²=3528-----------> a=√3528 m

the answer part a) is
√3528 m or 59.40 m



the area of the pen is a²------> 3528 m²

the answer Part b) is 
3528 m²

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kati45 [8]

Answer:

f(a) = \frac{(a+5)}{(a-1)}

Step-by-step explanation:

Given : f(x) = \frac{(3+x)}{(x-3)}

In order to find f(a+2) we will substitute (a+2) for x in the given function, that is :

f(a) = \frac{(3+a+2)}{(a+2-3)}

f(a) = \frac{(a+5)}{(a-1)}

4 0
4 years ago
Julie invested 3000 in a simple interest account for 2 years. At the end of the 2 years, she had earned $75 in interest. What wa
Dahasolnce [82]

The simple interest rate was: 1.25%

Step-by-step explanation:

Simple interest is given by:

A = Prt\\Here\\A  => Interest\\P=>Principal\ Amount\\r => Rate\\t => Time\ in\ years

Given

Principal amount =$3000

Time = t = 2 years

Interest amount = A = $75

putting the values in the formula

75 = 3000 * r * 2\\75 = 6000r

Dividing both sides by 6000

\frac{6000r}{6000} = \frac{75}{6000}\\r = 0.0125\\

So,

The rate is:

0.0125 * 100 = 1.25%

Hence,

the simple interest rate was: 1.25%

Keywords: Simple interest, percentage

Learn more about interest at:

  • brainly.com/question/5720422
  • brainly.com/question/5565320

#LearnwithBrainly

5 0
4 years ago
Each minute, a faucet allows 4/9 gallons of water to enter a large tub, and the drain allows 8/9 gallons to leave the tub.
Ronch [10]

Answer:

Step-by-step explanation:

The amount of water in the bathtub per minute:4/9-8/9=-4/9;

liquid after:1/3* (-4/9)=-4/27

6 0
3 years ago
An isosceles triangle has congruent sides of 20 cm. The base is 10 cm. What is the
Alex_Xolod [135]

Answer:

100 cm

Step-by-step explanation:

The formula to answer this question is base x height divided by 2. All you have to do is substitute: 10x20= 200 divided by 2 is 100.

8 0
3 years ago
Estimate 5171 / 17 by first rounding each number so that it has only 1 nonzero digit.
padilas [110]

Answer:

250

Step-by-step explanation:

5171/17

Estimate: 5000/20 = 500/2 = 250

8 0
3 years ago
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