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aleksandr82 [10.1K]
3 years ago
7

Drew is running to raise awareness and money for cancer. He finds 2 people who have pledged to donate money based on the distanc

e he runs. His neighbor says he will donate $0.25 for every 40 feet drew runs. His aunt also says that she will donate $18 for every mile he runs. If drew runs a total of 3 miles during the cancer awareness run, how much money will he haves raised based on these two donations?
Mathematics
1 answer:
Vaselesa [24]3 years ago
7 0
$0.25 • 20 = 5•20 = 100 every 40 runs then subtract 18 from 100 and the total would be 82 in total. I hope this helped:)
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An airplane is traveling at a speed of 240 miles/hour with a bearing of 110°. The wind velocity is 56 miles/hour at a bearing of
vodka [1.7K]

Answer:

Actual speed = 288 miles per hour

Actual direction angle = 116.38^\circ

Step-by-step explanation:

"Bearing" is the relative position of an object outside the plane compared to the position of the plane.  

Heading the the direction the nose of the plane is pointing.  

Course is the direction that pilot wants the plane to go.  

Wind direction is always the direction the wind is blowing from.  

The airplane is traveling at a speed of 240 miles/hour with a bearing of 110°.  

If the plane is traveling with a bearing of 110° and the wind is blown at a bearing of 325°.  

 325^{\circ}- 110^{\circ} =225^{\circ}

215^{\circ}- 180^{\circ} =35^{\circ}

The Ground speed will be in excess of the airspeed and true direction will be south if the indicated heading.  

The tailwind component is:

56 cos (35^\circ)

And the cross wind component is:

56 sin (35^\circ)  


And that is,

C^2 = (286)^2 + (32)^2


c = 288

So the actual speed of the plane is 288 miles per hour.

The deviation in the direction is:

Let the direction angle be 'x'.

x = tan ^{-1}\left ( \frac{32}{286} \right )=6.38^\circ

So the actual direction angle is 110^\circ+ 6.38^\circ=116.38^\circ.

5 0
3 years ago
Are the ratios 16:9 and 2:1 equivalent?<br> yes<br> no
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Answer:

No

Step-by-step explanation:

To be equivalent it would have to be 16/8 not 16/9

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3 years ago
Two ropes are attached to a large ballon in a parade. The people holding the ropes are 40 feet apart,and the angle between the t
qaws [65]

Ropes are 9.63 meters ans 8.178 meters.

<u>Step-by-step explanation:</u>

Step 1 :

List all the given things

         Distance between people holding ropes = 40 =(40*0.3048) meters = 12.192 meters

         Angle between two ropes = 86 degrees

         Angle of elevation of one rope = 42 degrees

Step 2 :

Two angles of triangle are already given so third angle can be calculated as -  

            Third angle = 180 - ( 86 + 42 ) = 52 degrees

Step 3 :

As we know all three angles we will apply sine rule now, which is

\frac{a}{sine A} = \frac{b}{sine B} = \frac{c}{sine C}

Step 4 :

By putting values, we have

\frac{a}{sine 52} = \frac{b}{sine 42} = \frac{12.192}{sine 86}

Step 5 : Calculating a and b

a = 12.192 * \frac{sine 52}{sine 86}   ,   b = 12.192 * \frac{sine 42}{sine 86}      

Step 6 :

By putting values of all sine and calculating we get,

a = 9.63 meters and b = 8.178 meters                                

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In a quadratic function, f(x)= ax^2+bx+c the leading coefficient is a, i.e. the coefficient of x^2, and the constant term is c, i.e. the coefficient without any power of x.

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