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svlad2 [7]
3 years ago
14

Find the measure of the missing sides of the triangle if each missing angle is 45°

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
6 0

Answer:

the side lengths are both 7

Step-by-step explanation:

Because the angles are both 45 degrees, the triangle is isosceles:  the side lengths are equal.   The hypotenuse of a model 45-45-90 triangle is √2 when the sides are 1 each:

√2        1

------ = -------

7√2       x

                                          1         1

This can be reduced to  ----- = -----

                                           7        x

which makes it obvious that the side lengths are both 7.

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40 POINTS is (4,7) a solution of equations? Explain your answer 2x+4y=36 3x-4y=-6
dsp73
<span>2x + 4y = 36
3x - 4y = -6
--------------add
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</span>2x+4y=36 
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answer
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Please Help I will reward Brainliest answer in centimeters
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8.4 inches

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3 years ago
Suppose a team of doctors wanted to study the effect of different types of exercise on reducing body fat percentage in adult men
Inessa05 [86]

Answer:

<em>A. The F statistic increases as the differences among the sample means for the exercise groups increase.</em>

<em>C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.</em>

<em>F. The F statistic is 9.2242.</em>

Step-by-step explanation:

Given that

Observations                     Samples                             Total

40-49             10       11              9         9                        39

The degrees of freedom is given by

For numerator= k-1 = 4-1=3

For denominator= n-k= 39-4= 35

F statistic is given by

F= MS between/ MS within

=11.632991 / 1.261143 = 9.2242

Where

Mean Square Between = MS between = 11.632991

Mean Square Within = MS within = 1.261143

<u>Hence the correct choices are  A, C and F</u>

<em>A. The F statistic increases as the differences among the sample means for the exercise groups increase.</em>

<em>C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.</em>

<em>F. The F statistic is 9.2242.</em>

<em></em>

Suppose we have

Mean Square Between = MS between = 18.632991

Mean Square Within = MS within = 1.261143

Then F statistic would be = 14.77468 > 9.2242

which tells that <em>The F statistic increases as the differences among the sample means for the exercise groups increase.</em>

3 0
3 years ago
Solve/answer the question and help me understand this question please
faltersainse [42]

Answer:

  5.25 m

Step-by-step explanation:

A diagram can help you understand the question, and can give you a clue as to how to find the answer. A diagram is attached. The problem can be described as finding the sum of two vectors whose magnitude and direction are known.

__

<h3>understanding the direction</h3>

In navigation problems, direction angles are specified a couple of different ways. A <em>bearing</em> is usually an angle in the range [0°, 360°), <em>measured clockwise from north</em>. In land surveying and some other applications, a bearing may be specified as an angle east or west of a north-south line. In this problem we are given the bearing of the second leg of the walk as ...

  N 35° E . . . . . . . 35° east of north

Occasionally, a non-standard bearing will be given in terms of an angle north or south of an east-west line. The same bearing could be specified as E 55° N, for example.

<h3>the two vectors</h3>

A vector is a mathematical object that has both magnitude and direction. It is sometimes expressed as an ordered pair: (magnitude; direction angle). It can also be expressed using some other notations;

  • magnitude∠direction
  • magnitude <em>cis</em> direction

In the latter case, "cis" is an abbreviation for the sum cos(θ)+i·sin(θ), where θ is the direction angle.

Sometimes a semicolon is used in the polar coordinate ordered pair to distinguish the coordinates from (x, y) rectangular coordinates.

__

The first leg of the walk is 3 meters due north. The angle from north is 0°, and the magnitude of the distance is 3 meters. We can express this vector in any of the ways described above. One convenient way is 3∠0°.

The second leg of the walk is 2.5 meters on a bearing 35° clockwise from north. This leg can be described by the vector 2.5∠35°.

<h3>vector sum</h3>

The final position is the sum of these two changes in position:

  3∠0° +2.5∠35°

Some calculators can compute this sum directly. The result from one such calculator is shown in the second attachment:

  = 5.24760∠15.8582°

This tells you the magnitude of the distance from the original position is about 5.25 meters. (This value is also shown in the first attachment.)

__

You may have noticed that adding two vectors often results in a triangle. The magnitude of the vector sum can also be found using the Law of Cosines to solve the triangle. For the triangle shown in the first attachment, the Law of Cosines formula can be written as ...

  a² = b² +o² -2bo·cos(A) . . . . where A is the internal angle at A, 145°

Using the values we know, this becomes ...

  a² = 3² +2.5² -2(3)(2.5)cos(145°) ≈ 27.5373

  a = √27.5373 = 5.24760 . . . . meters

The distance from the original position is about 5.25 meters.

_____

<em>Additional comment</em>

The vector sum can also be calculated in terms of rectangular coordinates. Position A has rectangular coordinates (0, 3). The change in coordinates from A to B can be represented as 2.5(sin(35°), cos(35°)) ≈ (1.434, 2.048). Then the coordinates of B are ...

  (0, 3) +(1.434, 2.048) = (1.434, 5.048)

The distance can be found using the Pythagorean theorem:

  OB = √(1.434² +5.048²) ≈ 5.248

7 0
2 years ago
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