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SVETLANKA909090 [29]
3 years ago
15

The pilot of a plane wants to fly 800 miles east and 155 miles north of the airport. To the nearest degree, in what direction sh

ould he head?
a. 12 degrees southeast
b. 6 degrees southeast
c. 11 degrees northeast
d. 5 degrees northeast
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
6 0
Its b your welcome hope it helps
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When two variables are correlated, one variable causes the other to occur. true or false.?
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It's true. They're connected, have a mutual relationship.
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A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 85
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First, "boxes of two sizes" means we can assign variables:   Let x = number of large boxes        y = number of small boxes   "There are 115 boxes in all"    means    x + y = 115      [eq1] Now, the pounds for each kind of box is:     (pounds per box)*(number of boxes) So,   pounds for large boxes     +    pounds for small boxes      =    4125 pounds                  "the truck is carrying a total of 4125 pounds in boxes"          (50)*(x)                   +              (25)*(y)                  = 4125    [eq2] It is important to find two equations so we can solve for two variables. Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2.  Let's solve for x:    x = 115 - y          [from eq1]      50(115-y) + 25y = 4125             [from eq2]      5750 - 50y  + 25y = 4125           [distribute]      5750 - 25y = 4125       -25y = -1625          y = 65             [divide both sides by (-25)]   There are 65 small boxes. Put that value into either equation (now, which is easier?) to solve for x:   x = 115 - y   x = 115 - 65   x = 50    There are 50 large boxes.
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What is the y-intercept of the function f(x)=-2/9+1/3?<br>A. -2/9<br>B. -1/3<br>C. 1/3<br>D. 2/9​
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<h2><u>I hope this will help you.</u></h2>

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3 years ago
Which equation represents the line that is perpendicular to and passes through (-40,20)?
emmasim [6.3K]

The equation of the perpendicular line to the given line is: y = -5/4x - 30.

<h3>What is the Equation of Perpendicular Lines?</h3>

The slope values of two perpendicular lines are negative reciprocal of each other.

Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.

Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.

Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:

20 = -5/4(-40) + b

20 = 50 + b

20 - 50 = b

b = -30

Substitute m = -5/4 and b = -30 into y = mx + b:

y = -5/4x - 30

The equation of the perpendicular line is: y = -5/4x - 30.

Learn more about about equation of perpendicular lines on:

brainly.com/question/7098341

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Can someone help me with this please???
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