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Nana76 [90]
3 years ago
13

Terry owns a triangular piece of land that has three corner fence poles at A, B,and C. The three poles are plotted on a grid in

units of feet at A(1000, 8000), B(6000, 7000), and C(5000, 1000). Terry wants to fence his land. To the nearest foot, how much fence does he need?
Mathematics
1 answer:
Deffense [45]3 years ago
3 0

Answer: 19,244 ft

Step-by-step explanation:

1. To solve this exercise you can apply the formula for calculate the distance between two points, which is:

d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

2. Then:

d_{AB}=\sqrt{(6,000-1000)^{2}+(7,000-8,000)^{2}}=5,099.01

d_{AC}=\sqrt{(5,000-1000)^{2}+(1,000-8,000)^{2}}=8,062.25

d_{AC}=\sqrt{(5,000-6000)^{2}+(1,000-7,000)^{2}}=6,082.76ft

3. Add the distance obtained to calculate the perimeter of the triangle. Therefore, the fence needed to the nearest food is:

P=5,099.01ft+8,062.25ft+6,082.76ft=19,244.02ft=19,244ft

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Explain why an elevation less than -5 feet represents a distance from sea level greater than 5 feet. ​
Morgarella [4.7K]

The elevation represents a distance from the sea level greater than 5 feet,

because the original description specifies a distance greater than 5 feet

below sea level.

Reasons:

The elevation given as a distance is the height or distance above sea level.

In the above description, elevation is a vector, given that it has both

magnitude (distance) and direction (above sea level).

Distance is a scalar quantity, that has only a magnitude that specifies the

space covered during motion.

An elevation of less than -5 feet indicates that distance of the location

above sea level is less than -5 feet, which is the same as; the distance of

the location  below sea level is greater than 5 feet.

  • Less than -5 feet above sea level = Greater than 5 feet below sea level

Therefore;

  • An elevation of less than -5 feet represents a distance from (below) sea level greater than 5 feet

Learn more about vector and scalar quantities here:

brainly.com/question/11968679

6 0
2 years ago
The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph te
MAXImum [283]

Answer:

  C.  <em>c</em> is less than zero

Step-by-step explanation:

The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.

<h3>Function transformation</h3>

The transformation of the parent function y=x^(1/n) into the function ...

  f(x) = a(x +k)^(1/n) +c

represents the following transformations:

  • vertical scaling by a factor of 'a'
  • left shift by k units
  • up shift by c units

<h3>Application</h3>

The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...

  • k = 3
  • c = -4

The graph says the value of c is less than zero.

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<em>Additional comment</em>

Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...

  f(x) = 2(x +3)^(1/3) -4

8 0
2 years ago
HELP PLEASEE<br> I’m stuck
Sever21 [200]

Answer:

:-):-)

Step-by-step explanation:

1) p<1000

2)p>500

3)By combining the above two, we get: 500<p<1000

Andre will agree as he thinks that the no. of paper clips in the box is less than 1000. But lin will not as she thinks that the no. of clips is more than 500.

4)This time, they both will agree as the no. of paper clips is more than 500 but less than 1000.

6 0
3 years ago
Read 2 more answers
Solve each equation for the given variable 2/3(x-6)=6
slega [8]

Answer:

2/3(x-6)=6

x-6=6(3/2)

x-6=9

x=9+6=15

7 0
2 years ago
Read 2 more answers
At its highest​ point, the elevation of a county is 5,764 feet above sea level. At its lowest​ point, the elevation of the count
Feliz [49]

Answer:

Difference = 5757\ feet

Step-by-step explanation:

Given

Highest\ Point = 5764\ feet

Lowest\ Point = 7\ feet

Required

Determine the difference between the points

The difference is calculated as follows:

Difference = Highest - Lowest

Difference = 5764\ feet - 7\ feet

Difference = 5757\ feet

8 0
3 years ago
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