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Bogdan [553]
2 years ago
14

Mike earned $150 by selling 75 boxes of cookies to his neighbors using the same rate for the cost of one box of cookies how many

more boxes of cookies would mike need to sell to earn, show your work!
Mathematics
2 answers:
stich3 [128]2 years ago
7 0

Answer:

to earn what

Step-by-step explanation:

kifflom [539]2 years ago
4 0

Answer:

2 boxes of cookies

Step-by-step explanation:

It would be $150/75 which equals 2.

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3/4 times 7/6 in simplest form
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3/4 times 7/6 in simplest form = 0.875
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Tammy is training for a marathon. She ran the 3 miles from home to a lake, twice around the lake and then home again. She ran 11
Lostsunrise [7]

Answer:

Step-by-step explanation:

3 x 2 = 6

11 - 6 = 5

5 ÷ 2 = 2.5

Final answer: 2.5 miles

7 0
2 years ago
A plane is flying east at 115 m/s. The wind accelerates it at 2.88 m/s^2 directly northwest. After 25.0 s, what is the direction
Finger [1]
<h3>Answer: 38.5 degrees</h3>

======================================================

Explanation:

The east direction is the vector < 1, 0 >

If the plane is flying in this direction, we want a vector to point in the direction of < 1, 0 > and we want it to have a magnitude of r = 115. So we simply scale this vector with scale factor 115

< 1, 0 > turns into < 115, 0 >

I multiplied both coordinates by 115.

If we do not account for the wind, the plane's velocity vector is < 115, 0 >

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

The wind's velocity vector is a bit trickier. We're told that the magnitude of the wind's acceleration vector is 2.88 m/s^2. This means every second, the wind's speed is increasing by 2.88 m/s. After 25 seconds, the speed of the wind is 25*2.88 = 72 m/s, which is the magnitude of the wind vector.

So r = 72

The angle of the wind is theta = 135 as we are in the northwest direction, so we subtract 45 from 180 getting 180-45 = 135. The diagram below might help. The purple vector is in quadrant Q2. Alternatively, you can add 45 degrees to 90 and you'd get 45+90 = 135 which is the same direction.

The x and y components of the wind's velocity vector is

x = r*cos(theta) = 72*cos(135) = -50.911688 = -50.9

y = r*sin(theta) = 72*sin(135) = 50.911688 = 50.9

meaning that

< x, y >  = < -50.9, 50.9>

is the approximate wind velocity vector

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

What do we do from here? Well we have the plane's velocity vector < 115, 0 > , without the wind involved, and we have the wind's vector of < -50.9, 50.9>

Vector addition will yield the resultant vector. This vector is the true direction of where the plane is going after we account for the wind speed. Without the wind speed, the plane will go directly east. However, with the wind speed, the plane will go in the direction of the red vector arrow (see diagram below).

So we have,

< 115, 0 > +  =

+ = < 64.1, 50.9>

The plane's resultant vector is approximately which is the velocity vector of the plane after we account for wind.

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

The last step is to compute the theta of this resultant vector

theta = arctan(b/a)

theta = arctan(50.9/64.1)

theta = 38.452096

theta = 38.5

This theta value is represented of the red vector in the diagram below.

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Answer:

I graphed the equation on the graph below.

Step-by-step explanation:

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