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storchak [24]
3 years ago
10

A man is flying in a hot-air balloon in a straight line while keeping it at a constant altitude. As he approaches a parking lot

and notices that the angle of depression from his balloon to a friend's car is 36º. He flew directly over the car. A minute and a half later he had travelled 360 feet horizontally; he looks back to see his friend getting into the car and observes the angle of depression to be 37º. At that time, what is the distance between him and his friend?

Mathematics
1 answer:
valkas [14]3 years ago
5 0

Answer:

221°

Step-by-step explanation:

Using sine rule

a/sinA = b/sinB = c/sinC

A= 36°

B= 37°

C = 107°

It takes 90 seconds to go from point A to point B. To find a, we will use

a/sinA = c/sinC

a/sin36°= 360/sin 107°

a(sin 107°) = 360sin36°

a = 360sin 36° / sin 107°

a = 360(0.5878) / 0.9563

a = 211.608/0.9563

a = 221.27°

a = 221°

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Step-by-step explanation:

Given the system of equations:

2x + 3y = 15

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What is x?

2x + 3y = 15

X + 3y = 0         subtract the bottom equation fron the top one

2x - x + 3y - 3y = 15 - 0        see how the 3y - 3y equates to zero

  2x - x  = 15

        x  =  15        Now for  extra credit what is y?  

                                  X + 3y = 0

                                 15 + 3y = 0

                                 15 - 15 + 3y = 0 - 15

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                                        3y/3 = -15/3

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6 0
3 years ago
   Solve this inequality: 3p – 16 < 20
Llana [10]
P < 12
1. add 16 over
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7 0
3 years ago
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Describe 58 as a sum of tens and ones
Thepotemich [5.8K]

Answer:

5 tens and 8 ones gives 58

Step-by-step explanation:

We have to describe 58 as a sum of tens and ones

We know that first digit from the right is the ones place

Second digit is the tens place

Hence, 5 tens and 8 ones gives 58

Also, we can see that

10+10+10+10+10=50   (5 tens)

and 1+1+1+1+1+1+1+1=8 (8 ones)

on adding both we get 58

Hence, 5 tens and 8 ones gives 58

4 0
3 years ago
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Please help I'm behind
SIZIF [17.4K]

Answer:

a= -4

Step-by-step explanation:

2^-4 ×2^a =2^-8

2^-4+a = 2^-8

both 2 are cancelled by dividing

then,

-4+a = -8

a = -8+4

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hope this helps you

3 0
3 years ago
The ages of Aman and Arun are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present
Viktor [21]

Answer:

Aman's age = 20, Arun's age = 28

Step-by-step explanation:

Let x = Aman's age

Let y = Arun's age

- - - -

x+4+y+4=56 (Sum of their age is 56 after 4 years in the future)

x+y+8=56

x+y=48

\frac{x}{y} = \frac{5}{7} (Ages are in the ratio 5:7)

x=\frac{5}{7}y

Now, we can use substitution to find for Arun's age:

x+y=48

\frac{5}{7}y+y=48

\frac{12}{7}y=48

y=28

∴ Arun is 28

To find for Aman's age, we can use substitution:

x+y=48

x+28=48

x=20

∴ Aman is 20

Hope this helps :)

8 0
3 years ago
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