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ziro4ka [17]
1 year ago
8

While in flight, a hot air balloon decreases its elevation by 83 2/5 meters and then increases its elevation by 83.7 meters

Mathematics
1 answer:
Pachacha [2.7K]1 year ago
5 0

An inequality which compares the changes in elevation of this hot air balloon while in flight is given by L - 83 2/5 ≤ L ≤ L + 83.7.

<h3>What is an elevation?</h3>

An elevation is also referred to as an altitude and it can be defined as the vertical distance (height) above a natural satellite or the surface of planet Earth such as land or sea level.

This ultimately implies that, an elevation (altitude) simply refers to the vertical height (elevation) of an object or physical body above a particular location or planetary reference plane such as land or sea level on planet Earth.

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments (symbols):

  • Less than (<).
  • Greater than (>).
  • Less than or equal to (≤).
  • Greater than or equal to (≥).

For this exercise, let the variable L represent the initial height of this balloon. Also, since the hot air balloon decreased its elevation by 83 2/5 and increases its elevation by 83.7 meters, we have the following:

  • The lower limit is equal to: L - 83 2/5.
  • The upper limit is equal to: L + 83.7.

In this context, an inequality which models the changes in elevation of this hot air balloon is L - 83 2/5 ≤ L ≤ L + 83.7.

Read more on inequality here: brainly.com/question/6666926

#SPJ1

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Anyone onow the answer. Need help Asap. Please!
Solnce55 [7]

Answer:

51

Step-by-step explanation:

area of the triangle= 1/2 (6-3)(13-7)

=1/2 (3)(6)

=9

area of rectangle= 6×7

= 42

therefore, area of shape = 42+9

=51

3 0
3 years ago
An account earns simple interest. Find the principal.
Alexandra [31]

Answer:

$ 900

Step-by-step explanation:

Simple interest = Principle * Time * Rate / 100

Now by substituting :

27 = Principle * 2 * 1.5 / 100

Principle = 27 * 100 / 2 * 1.5

Principle = 2700 / 3

So Principle = $ 900

Hope it helps

5 0
3 years ago
Megan’s driveway is 14/15 mile long. Megan’s driveway is 2/15 mile longer than Matt’s driveway. How long is Matt’s driveway?
marshall27 [118]

Answer:

4/5 mile

Step-by-step explanation:

14/15 - 2/15 = 12/15 or 4/5

8 0
2 years ago
Solve for x <br> -2^2(-5x+10)=100
masha68 [24]

Answer:

x=7

Step-by-step explanation:

Hi there!

-2^2(-5x+10)=100

Solve -2^2:

-4(-5x+10)=100

Divide both sides by -4:

\displaystyle \frac{ -4(-5x+10)}{-4}=\frac{100}{-4} \\\\-5x+10=-25

Subtract 10 from both sides:

-5x+10-10=-25-10\\-5x=-35

Divide both sides by -5:

\displaystyle \frac{-5x}{-5} = \frac{-35}{-5} \\\\x=7

Therefore, x = 7.

I hope this helps!

3 0
3 years ago
What’s the answer to this equation?
Tresset [83]

Answer:

Part A) The graph in the attached figure

Part B) see the explanation

Step-by-step explanation:

Part A) Graph the function

we have the quadratic function

y=3x^2-12x-36

This is a vertical parabola open upward

The vertex is a minimum

using a graphing tool

The graph in the attached figure

Part B) What are the values of a, b and c?

we know that

The values of a and b represent the x-intercepts of the quadratic equation

The x-intercepts are

(-2,0) and (6,0)

so

a=-2\\b=6

Find the value of c

we know that

The x-coordinate of the vertex in a vertical parabola is equal to the midpoint of the roots

so

The value of c is equal to

c=\frac{a+b}{2}

substitute the given values

c=\frac{-2+6}{2}=2

see the attached figure

7 0
3 years ago
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