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d1i1m1o1n [39]
3 years ago
10

A hot air balloon hovers above its launch site at an altitude of 100 meters. The pilot of the balloon sights a parking lot at a

12˚ angle of depression. To the nearest meter, what is the horizontal distance between the parking lot and the launch site?
Mathematics
1 answer:
IgorLugansk [536]3 years ago
6 0

Answer:

The horizontal distance between the parking lot and the launch site is 470 meters

Step-by-step explanation:

Let

x----->  the horizontal distance between the parking lot and the launch site

we know that

The tangent of angle of 12 degrees is equal to divide the altitude of 100 meters by the horizontal distance

so

tan(12°)=100/x

Solve for x

x=100/tan(12°)=470 meters

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What is the graph of the inequality 3x+2y>-5
Doss [256]

Answer:

The graph with solution is shown below.

Step-by-step explanation:

We need to find the x-intercept and y-intercept for given equation.

For  x-intercept , substitute y=0

Considering inequality sign as equality and simplifying,

3x+2y=-5\\3x+0=-5\\x=-\frac{5}{3} , point is (-\frac{5}{3} ,0)

Similarly,

For y-intercept , substitute x=0

We get,

3x+2y=-5\\0+2y=-5\\y=-5/2 , point is (0,-\frac{5}{2})

We locate this two points on the graph now and join them.

The joining line will be dotted as the inequality has just 'greater than' symbol. The region above the dotted line is the solution to graph.

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3 years ago
Wilma used 60 centimeters of lace to make a border around a rectangular card. The width of the card is 20 centimeters. What is t
iris [78.8K]
60 - (20 + 20)= 20
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3 years ago
A landscaping company charges $50 per cubic yard of mulch plus a delivery charge of $24. Find a
Zigmanuir [339]

Answer: c(x) = $50*x + $24

Step-by-step explanation:

First, this situation can be modeled with a linear equation like:

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Then we know that:

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Then our equation is:

c(x) = $50*x + $24

This is:

"The cost of buying x cubic yards of mulch"

5 0
3 years ago
Freee points freee points, arent I so humble? ;)
Alenkasestr [34]

Answer:

ayo thanks g

Step-by-step explanation:

5 0
3 years ago
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natita [175]

Answer:

fx+gx=5x-11

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Step-by-step explanation:

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3 years ago
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