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WITCHER [35]
3 years ago
7

Consider an airplane heading due east at 150 miles/hour relative to the air. The wind is blowing at 7.1 miles/hour at 45º south

of east. Drag vectors for the plane and the wind into the vector addition simulation. For this scenario, consider the simulation to be in tens of miles (i.e., 10 on the grid represents 100 miles).
What do Rx, Ry, θ, and |R| represent in terms of the force of the wind, and what do they represent in terms of the forces moving the airplane?
Mathematics
2 answers:
alina1380 [7]3 years ago
8 0
My guy this isnt it its gravity for the baseball
sergij07 [2.7K]3 years ago
5 0

We have

<span>Va(airplane)=150  East</span>

Vw(wind)=7.1 South East

<span>
</span><span>resulting vector R</span>

airplane

Vax=150    Vay=0   it only has component x 


Wind
Vwx=7.1*cos45=5.02

Vwy=7.1*sin45=-5.02 is negative because is South direction

 |R|=(Rx^2+Ry^2) ^0.5

Rx=150+5.02=155.02

Ry=0-5.02=-5.02

<span>|R|=155.10 miles/hour South East</span>

Determine angle θ

Rx=R*cos(θ)

<span>Cos(θ)=Rx/R</span> <span>Cos(θ)=155.02/155.10=0.9995</span>

 θ =arc cos Rx/R θ =1.8119 º

 Rx represents the component in the East direction of the resultant force. Your contribution is given by both, the force of the plane and the wind. The contribution of the wind makes the airplane's speed greater

 Ry represents the component in the South direction of the resulting force Its contribution is exclusive of the wind since the airplane has no component in this direction

 |R| the force resulting from the combined action of the force of the plane and the force of the wind

 θ represents the angle that forms the resultant force with respect to the x axis or east direction

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Quadrilateral ABDE is a rectangle. DE = 4 in. and BD = 6 in. If the rectangle is rotated about a line through CF, cylinder Y is
postnew [5]

Answer:

1 in. is the answer.

Step-by-step explanation:

Solution: A Rectangle ABDE in which DE=4 inches and BD= 6 inches

 There are two kinds of rotations

1. one along the Breadth, side having length 6 inches,i.e rotated along line GH,  Cylinder Z is created.

Radius of cylinder Z=6/2= 3 inches

2. Second along the Length, Side having length 4 inches,i.e rotated about a line CF, cylinder Y is created.

Radius of cylinder Y= 4/2= 2 inches

Difference in Radii= Radius of cylinder Z  -  Radius of cylinder Y

                              =  3 - 2= 1 inches

Diagram shown below of both the cases:

7 0
4 years ago
Read 2 more answers
A survey was conducted in the United Kingdom, where respondents were asked if they had a university degree. One question asked,
katovenus [111]

Answer:

z=\frac{0.121-0.0892}{\sqrt{0.101(1-0.101)(\frac{1}{373}+\frac{1}{639})}}=1.620  

p_v =2*P(Z>1.620)=0.105  

If we compare the p value and using any significance level for example \alpha=0.05 always p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the two proportions are not statistically different at 5% of significance

Step-by-step explanation:

Data given and notation  

X_{1}=45 represent the number of correct answers for university degree holders

X_{2}=57 represent the number of correct answers for university non-degree holders  

n_{1}=373 sample 1 selected

n_{2}=639 sample 2 selected

p_{1}=\frac{45}{373}=0.121 represent the proportion of correct answers for university degree holders  

p_{2}=\frac{57}{639}=0.0892 represent the proportion of correct answers for university non-degree holders  

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportions are different between the two groups, the system of hypothesis would be:  

Null hypothesis:p_{1} = p_{2}  

Alternative hypothesis:p_{1} \neq p_{2}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{45+57}{373+639}=0.101

Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.121-0.0892}{\sqrt{0.101(1-0.101)(\frac{1}{373}+\frac{1}{639})}}=1.620  

Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.  

Since is a one side test the p value would be:  

p_v =2*P(Z>1.620)=0.105  

If we compare the p value and using any significance level for example \alpha=0.05 always p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the two proportions are not statistically different at 5% of significance

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I think it’s X=-3+(the square root of 2)
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Plz help, And no links please
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I did not get any zeros since the graph doesn’t cross the x axis, meaning that there are no rational zeros

However, here is the method u can use to find the zeros lol


You can use the quadratic formula in order to get the zeros

This is the equation therefore use these values
ax^2+bx+c=0

A=1
B= -5
C=12

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