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Veseljchak [2.6K]
3 years ago
11

PLEASE HELP ASAP GIVING BRAINLIEST

Mathematics
1 answer:
Lady_Fox [76]3 years ago
3 0

Answer:

Part 1) y=32.5x+11.95

Par 2) see the explanation

Part 3) \$401.95

Step-by-step explanation:

Part 1) Write an equation in slope intercept form to represent this problem

Let

x ----> the number of tickets

y ---> the total cost

The linear equation in slope intercept form is equal to

y=mx+b    

where

m is the slope or unit rate

b is the y-intercept (one-time  processing fee)

In this problem we have

b=\$11.95

ordered pairs (4,141.95) and (7,239.45)

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values in the formula

m=\frac{239.45-141.95}{7-4}

m=\frac{97.5}{3}

m=32.5

substitute the values in the linear equation

y=32.5x+11.95

Part 2) What does your slope represent in this problem? What does your y-intercept represent in this problem?

a) The slope of the linear equation represent the unit rate, so the slope represents the cost of one ticket

m=\$32.5\ per\ ticket

b) The y-intercept is the value of y when the value of x is equal to zero

In this context, the y-intercept represent the one-time  processing fee

b=\$11.95

Part 3) Use the equation to find how much Alan would have to pay for 12 tickets

For x=12 tickets

substitute in the linear equation

y=32.5(12)+11.95

y=\$401.95

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---- x ----
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Hope this helps! :)
7 0
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A 12-meter ladder leans against a building forming a 30° angle with the building.
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Answer:

will show you two (2) ways to solve this problem.

A diagram is needed to see what is going on....

 

Without loss of generality (WLOG)

The wall is on the right. The ladder leans against the wall

with a POSITIVE slope, from SW to NE (quadrant 3 to quadrant 1).

The measure from the bottom of the ladder to the wall is 6.

 

 

Option 1:

 

The ladder, ground and wall form a right triangle.

 

The hypotenuse (ladder) is 14 feet.

 

 The bottom of the ladder is 6 feet from the wall,

  so the base of this right triangle is 6 feet.

 

The top of the ladder to the ground represents

the missing leg of the right triangle.

 

The pythagorean theorem applies, which says

 6^2 + h^2 = 14^2   where h is the height

                                 of the top of the ladder to the ground

 

36 + h^2 = 196

 

 h^2 = 196 - 36

 

h^2  = 160

 

h = sqrt(160)

 

   = sqrt(16 * 10)

 

    = sqrt(16)* sqrt(10)

 

    = 4*sqrt(10) <--- exact answer

 

    = 4 * 3.16227766016838....

 

     = 12.64911....

 

    12.65 <--- rounded to 2 digits as directed

 

----------------------------------------------

Option #2: using trig

 

With respect to the angle formed by the bottom of the

ladder with the ground

  cos T = 6/14 = 3/7  

 T = inverse-cosine(3/7) = 64.623006647 degrees

 

 sin(64.623006647) = h/14

 

 h = 14*sin(64.62300647) = 12.6491106 <--- same answer                        

hope this helps

Step-by-step explanation:

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