Answer:
156.37°
Step-by-step explanation:
We solve this above question, using Cosine rule which is given as:
Cos C = a² + b² - c²/2ab
Let the Angle be represented as: x
Cos x = 310² + 200² - 150²/2 × 310 × 200
x = arc cos [ 310² + 200² - 150²/2 × 310 × 200]
x = 23.63°
The angle, in degrees, that he must turn through to head straight for Island B is given as:
180° - 23.63°
= 156.37°
The hypothesis illustrates that the males in the group don't follow a same distribution as all the males that are in the United States.
<h3>How to illustrate the information?</h3>
Based on the information given, it should be noted that the degree of freedom given in this case will be:
= 4 - 1
= 3
By using the Excel function, the p-value is given as 0.0002. In this case, we've to reject the null hypothesis if the p value is less than 0.1.
Therefore, we will reject the null hypothesis in this case. In inferential statistics, the null hypothesis is that two possibilities are the same. It is observed difference is due to chance alone. Using statistical tests, it is possible to calculate the likelihood that the null hypothesis is true
Therefore, the hypothesis illustrates that the males in the group don't follow the same distribution as all the males that are in the United States.
Learn more about hypothesis on:
brainly.com/question/606806
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To find what the value of the digit 8 is, we can start by moving from the right. In a number, the place value goes (from right to left) ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions and so on. Now we can find out what each of the numbers is.
Since 3 is the first, that means 3 is in the ones place.
Since 9 is second, that means that 9 is in the tens place.
Since 2 is third, that means that 2 is in the hundreds place.
Since 6 is fourth, that means that 6 is in the thousands place.
Now, we have 8. Since 8 is fifth, that means that 8 is in the ten-thousands place. But that's not the value of the eight. The value of the 8 would be it's place value (10,000) times 8. 10,000 * 8 = 80,000, so the value of the digit 8 in the number 686293 is 80,000.
Answer:
72 feet from the shorter pole
Step-by-step explanation:
The anchor point that minimizes the total wire length is one that divides the distance between the poles in the same proportion as the pole heights. That is, the two created triangles will be similar.
The shorter pole height as a fraction of the total pole height is ...
18/(18+24) = 3/7
so the anchor distance from the shorter pole as a fraction of the total distance between poles will be the same:
d/168 = 3/7
d = 168·(3/7) = 72
The wire should be anchored 72 feet from the 18 ft pole.
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<em>Comment on the problem</em>
This is equivalent to asking, "where do I place a mirror on the ground so I can see the top of the other pole by looking in the mirror from the top of one pole?" Such a question is answered by reflecting one pole across the plane of the ground and drawing a straight line from its image location to the top of the other pole. Where the line intersects the plane of the ground is where the mirror (or anchor point) should be placed. The "similar triangle" description above is essentially the same approach.
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Alternatively, you can write an equation for the length (L) of the wire as a function of the location of the anchor point:
L = √(18²+x²) + √(24² +(168-x)²)
and then differentiate with respect to x and find the value that makes the derivative zero. That seems much more complicated and error-prone, but it gives the same answer.
