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VikaD [51]
3 years ago
15

A pole is held vertically by attaching wires at a height of 13.4 m above the ground. The other end of each wire is anchored in t

he ground at a distnace of 9.54 m from the base of the pole. The pole makes a right angle with the ground. What is the length of each wire?b) 3 forces pull in different directions on an object at the origin. Once force has a magnitude of 100 newtons, and pulls at an angle 140 degrees with respect to the +x axis. The other two forces are 200 newtons at an angle of 70 degrees, and 160 newtons at an angle of 250 degress. Along what angle (in degress) could a single force of the appropriate magnitude point that would accomlish the same thing as the three factors acting together?
Mathematics
1 answer:
maks197457 [2]3 years ago
5 0

Answer:

  • 16.45 m
  • 121.7°

Step-by-step explanation:

a) The Pythagorean theorem is used to find the length of the hypotenuse of a right triangle from the the lengths of the legs:

  c² = a² + b²

  c = √(a² + b²) = √(13.4² +9.54²) ≈ 16.45 . . . meters

____

b) Using an appropriate vector calculator, you can find the sum of the given forces to be ...

  100∠140° +200∠70° +160∠250° = 119.733∠121.704°

The forces have a resultant equivalent to a force at 121.7°.

__

If you're calculating this by hand, you can add the components of the forces:

  a∠b = (a·cos(b), a·sin(b))

  100∠140° ≈ (-76.604, 64.279)

  200∠70° ≈ (68.404, 187.939)

  160∠250° ≈ (-54.723, -150.351)

(Values are shown rounded here. You never round intermediate calculations, but maintain full calculator precision until the final answer.) Then the sum of these forces is approximately ...

  resultant ≈ (-62.924, 101.866)

The (second quadrant) angle of this resultant is ...

  angle = arctan(101.866/-62.924) ≈ 121.7°

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qwelly [4]
Ok so A is the same as the square root of 4b+c but all of the numbers and the answer have to be prime numbers
4 0
3 years ago
Length when found is the length at birth plus the product of age and yearly growth.
Brut [27]

Answer:

length when found = length at birth + (age × yearly growth)

8 0
3 years ago
Can someone give me an answer for this?
stealth61 [152]

Answer:

444 adult ticket

763 student ticket

Step-by-step explanation:

let a = number of adult ticket

let s = number of student ticket

s+a=1207

5a+s=2983

get s by itself in the 1st equation so you can plug it into the 2nd

s+a=1207

-a      -a

s=1207-a

5a+(1207-a)=2983

solve for a

4a+1207=2983

-1207      -1207

4a= 1776

444

this is adult ticket amount

subtract this from 1207 to get student amount

1207-444=763

8 0
3 years ago
The mean of a normally distributed dataset is 12, and the standard deviation is 2.
Schach [20]
So lets do it like this:
z = (X-Mean)/SD 
<span>z1 = (8-12)/2 = - 2 </span>
<span>z2 = (16-12)/2 = + 2 </span>
<span>According to the Empirical Rule 68-95-99.7 </span>
<span>Mean more or less 2SD covers 95% of the values </span>
So t<span>he percentage of data points falling between 8 and 16 = 95%
</span>I hope this can help
5 0
3 years ago
In a​ survey, the eye colorseye colors of respondents are identified as 11 for brown eyes commabrown eyes, 22 for blue eyes comm
mr Goodwill [35]

Answer:

The answer is ratio Level of measurement

Step-by-step explanation:

It is important that I explain the various levels of measurement. There are four levels of measurement;  nominal, ordinal, interval and ratio levels of measurement.

1. Nominal Level of Measurement;  The nominal scale or level of measurement simply names or categorizes responses. examples are categorizing entries into religion, gender, hair color, etc. It is the lowest scale of measurement and they do not imply ordering among the group example, in classifying hair color, there is no numerical ordering value or red being more than black.

2. Ordinal Level of Measurement; Ordinal scale allows for comparison between two subjects to the degree of which they posses the dependent variable. For example, a researcher wanting to determine the level of satisfaction of customers to a product can group the customers from most dissatisfied to most satisfied.

3. Interval Level of Measurement; here, the level of measurement are numerical and they have the same distance (degree of difference) throughout. In the interval level of measurement, there is no true zero point on the scale, but the distance between two sets of points can have the same interval, but it will be irrational to make ratio comparisons. example is the Fahrenheit scale for temperature measurement, there is no true zero point, but a temperature difference between 20° F and 30° F is the same as the difference between 50° F and 60° F.

4. Ratio Level of Measurement; This is the most detailed level of measurement, and in addition to the interval scale, there is a true zero point. Mathematical computations can be carried out on them. It can be said to be the other three levels of measurement summed up in one. For example, money can be measured on the ratio scale because there is a zero point and it is mathematically accurate to say that 20 cents is twice as much as 10 cents. In our example, the survey is on eye color which ordinarily would have been on the nominal or categorical scale of measurement, but for the fact that the number of people possessing a quality is counted, it makes it ratio, and mean value was even calculated to be 1.5. There is a possibility of having a particular group of eye color with no participant, hence the zero point.

3 0
3 years ago
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