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andrezito [222]
3 years ago
5

What is the supplement of an angle having a measure of 60 degrees

Mathematics
1 answer:
bazaltina [42]3 years ago
6 0

Answer:

120°

Step-by-step explanation:

supplementary angles, when added, equal 180 °

so if one angle is 60 °, then the other angle is 180 - 60.....which is 120°

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Sliva [168]
Divide both sides by 2 to get x>3
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3 years ago
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
sergij07 [2.7K]

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

5 0
3 years ago
Read 2 more answers
Use the given information to bound the p-value of the F statistic for a one-tailed test with the indicated degrees of freedom. F
lianna [129]

Answer:

The range of the <em>p</em>-value is: 0.050 < <em>p</em>-value < 0.100.

Step-by-step explanation:

For checking the equivalence of two population variances of independent samples, we use the <em>f</em>-test.

The test statistic is given by:

F=\frac{S_{1}^{2}}{S_{2}^{2}}\sim F_{\alpha, (n_{1}-1)(n_{2}-1)}

It is provided that the hypothesis test is one-tailed.

The computed value of the test statistic is:

<em>F</em> = 4.23.

The degrees of freedom of the numerator and denominator are:

df_{1}=4\\df_{2}=5

Use MS-Excel to compute the <em>p</em>-value as follows:

Step 1: Select function fX → F.DIST.RT.

Step 2: A dialog box will open. Enter the values of f-statistic and the two degrees of freedom.

*See the attachment below.

Step 3: Press OK.

The <em>p</em>-value is, 0.0728.

The range of the <em>p</em>-value is:

0.050 < <em>p</em>-value < 0.100

4 0
4 years ago
Y=-5y=−5 Evaluate this expression: 3y+6=3y+6=
Crazy boy [7]

Answer: 3y+6

Step-by-step explanation:

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4 years ago
Write the expression:
nydimaria [60]

Answer:

5n+4

Step-by-step explanation:

Four more than 5 times a number (n)

So we get 5n+4

8 0
3 years ago
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