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Rina8888 [55]
3 years ago
8

4. An airplane at T(80,20) needs to fly to both U(20,60) and V(110,85). What is the shortest possible distance for the trip?

Mathematics
1 answer:
Alexeev081 [22]3 years ago
4 0
Distance between T(80, 20) and U(20, 60) = sqrt((20 - 80)^2 + (60 - 20)^2) = sqrt((-60)^2 + (40)^2) = sqrt(3600 + 1600) = sqrt(5200) = 72.11 units

Distance between T(80, 20) and V(110, 85) = sqrt((110 - 80)^2 + (85 - 20)^2) = sqrt((30)^2 + (65)^2) = sqrt(900 + 4225) = sqrt(5125) = 71.59

Distance between U(20, 60) and V(110, 85) = sqrt((110 - 20)^2 + (85 - 60)^2) = sqrt((90)^2 + (25)^2) = sqrt(8100 + 625) = sqrt(8725) = 93.41

Therefore, shortest distance for the trip = 71.59 + 93.41 = 165 units.
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HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Andrew [12]
Answer:  x = 9.611 ;  or ;  x = 9  11/18 .
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Explanation:
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All angles of any triangle must add up to 180 degrees.

So,  (10x - 4)  + (8x + 3) + 91 = 180 ;  Solve for "x" ; 
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    10x - 4 + 8x + 3 + 81 = 180 ;

Combine the "like terms" on the left-hand side of the equation:
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      +10x + 8x = 18x ;
        
       - 4 + 3 + 8 = 7 ;
____________________________
          18x  +  7 = 180 ;
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   Subtract  "7" from each side of the equation:
___________________________________________
         18x + 7 - 7 = 180 - 7 ;
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to get:  
  
         18x  = 173 ; 
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Divide EACH side of the equation by "18" ; to isolate "x" on one side of the equation;  and to solve for "x" ; 
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         18x / 18  = 173 / 18 ;
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                   x = 9.6111111111111111....
_____________________________________
  
Write as:  9.611 ;  or;   9  11/18.
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7 0
3 years ago
Henry has 3 black shirts and 7 blue shirts in his wardrobe. Two shirts are drawn without replacement from the wardrobe. What is
asambeis [7]
Since there are three black shirts and 7 blue shirts, he has a 3/10 chance of picking a black.

6 0
2 years ago
Read 2 more answers
1. If f(x) = 4x — 7 and , find each value:<br> a. f(3)<br> b. f(0)
kobusy [5.1K]

Answer:

f(3)=5

f(0)= -7

Step-by-step explanation:

replace

4(3)-7

f(3)=5

f(0)=4(0)-7

f(0)=0-7

f(0)= -7

3 0
3 years ago
Read 2 more answers
CAN SOMEONE PLEASE HELP MEEEEE
scoray [572]

Answer:

$22,360

Step-by-step explanation:

Whenever you have a percentage increase, multiply the original value with the percent in decimal form plus one. For example, $21,500 increased by 4% is the equivalent to 21,500 * 1.04. If it decreased by 8%, you would do 21,500 / 1.08.

3 0
3 years ago
2. John and Jen went to the farmers market to buy fruit. John bought 3 boxes of oranges and 9 boxes of cherries for $78. Jen bou
jenyasd209 [6]

Answer:

Let the cost of orange be X and cost of cherry be y

3x + 9y = 78

8x + 4y = 58

Solving equation using elimination method

multiplying eq 1 with 8 and eq 2 with 3

8(3x + 9y ) = 78(8)

3( 8x + 4y) = 3(58)

24x + 72 y = 624

24x + 12y = 174

subtracting,

60 y = 450

y = 7.5

3x + 9(7.5) = 78

3x + 67.5 = 78

3x = 78 - 67.5

3x = 10.5

x = 3.5

<h2>Box of orange = $3.5 </h2><h2>Box of cherry = $7.5</h2>
7 0
1 year ago
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