Given:
Perimeter of the triangle = 99 ft
Length of two sides are 20 ft and 42 ft.
To find:
The length of missing side.
Solution:
Let the missing side be x.
Perimeter of a triangle is the sum of all sides of that triangle.
![x+20+42=99](https://tex.z-dn.net/?f=x%2B20%2B42%3D99)
![x+62=99](https://tex.z-dn.net/?f=x%2B62%3D99)
Subtract 62 from both sides.
![x=99-62](https://tex.z-dn.net/?f=x%3D99-62)
![x=37](https://tex.z-dn.net/?f=x%3D37)
Therefore, the missing side of the triangle is 37 ft.
Answer:
55
Step-by-step explanation:
Tamara's forearm is given to be 0.366 meters in length, so that a force of 155 newtons is being applied at this distance from her elbow. Again, this force is applied at an angle of 15 degrees, so that the positioning should be the following -
r = ( 0.366( cos 15 ), 0, 0.366( sin 15 ) ),
r = ( 0.35352885242, 0, - 0.0947277705 ) - ( Approximately )
Now the force is applied in the vertical direction, so -
F = ( 0, 0, 155 )
_________________________________________________
We can now multiply the two ( ( 0.35352885242, 0, - 0.0947277705 ) and ( 0, 0, 155 ) ), performing the following calculation to receive " j " the magnitude,
![|0.35352885242, 0, - 0.0947277705 |\\* | 0, 0, 155 |,\\\\( 0( 155 ) - 0( - 0.0947277705 ) ) - ( 0.35352885242( 155 ) - 0( - 0.0947277705 ) ) + ( 0( 0.35352885242 ) - 0( 0 ) )\\\\Solution = ( 0, ( About ) 54.8, 0 )](https://tex.z-dn.net/?f=%7C0.35352885242%2C%200%2C%20-%200.0947277705%20%7C%5C%5C%2A%20%7C%200%2C%200%2C%20155%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%7C%2C%5C%5C%5C%5C%28%200%28%20155%20%29%20-%200%28%20-%200.0947277705%20%29%20%29%20-%20%28%200.35352885242%28%20155%20%29%20-%200%28%20-%200.0947277705%20%29%20%29%20%2B%20%28%200%28%200.35352885242%20%29%20-%200%28%200%20%29%20%29%5C%5C%5C%5CSolution%20%3D%20%28%200%2C%20%28%20About%20%29%2054.8%2C%200%20%29)
<u><em>And as you can see, j / magnitude is about 54.8</em></u>
Answer:
<u>Apothem:</u>
radius is the same length as the base/length of each side of the hexagon.
r = 8
use pythagorean theorem to calculate the apothem
![4^2+a^2=8^2\\\\16+a^2=64\\\\a^2=48\\\\a= 6.928](https://tex.z-dn.net/?f=4%5E2%2Ba%5E2%3D8%5E2%5C%5C%5C%5C16%2Ba%5E2%3D64%5C%5C%5C%5Ca%5E2%3D48%5C%5C%5C%5Ca%3D%206.928)
≈ 6.9
<u>Area</u>
![A = \frac{3\sqrt{3} }{2} *a^2\\\\=\frac{3\sqrt{3} }{2}(6.928)^2\\\\=124.7](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B3%5Csqrt%7B3%7D%20%7D%7B2%7D%20%2Aa%5E2%5C%5C%5C%5C%3D%5Cfrac%7B3%5Csqrt%7B3%7D%20%7D%7B2%7D%286.928%29%5E2%5C%5C%5C%5C%3D124.7)
Answer:
1.5 million trees measured to evaluate volume, condi- tion, and vigor. Additional information about FIA may be found at http://fia.fs.fed.us. 2. 30% ... or 33 percent of the total land area of the United States— ... ble, there have been changes as forests respond to human ... Timber land is fairly evenly distributed among the three.
The solution for the inequality (x − 1)(x + 2) < 0 if x-1 < 0 and x+2 > 0 and x ∈ (-2, 1)
<h3>What is inequality?</h3>
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
(x -1)(x + 2) < 0
The product of (x-1) and (x+2) is less than zero it means:
x-1 < 0 and x+2 > 0 or
x-1 > 0 and x+2 < 0
Solve for first case:
x-1 < 0 and x+2 > 0
x < 1 and x > -2
x ∈ (-2, 1)
Solve for the second case:
x > 1 and x < -2
There will be no intersection region, so no solution in this case.
Thus, the solution for the inequality (x − 1)(x + 2) < 0 if x-1 < 0 and x+2 > 0 and x ∈ (-2, 1)
Learn more about the inequality here:
brainly.com/question/19491153
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