Answer:
45.7°
Step-by-step explanation:
- area of a triangle= 180°
- so,180- 88•6=91•4
- since the congruent angles are equal,you will divide 91•4 by 2
- 91•4÷2=45•7
- ans=45•7°
2=1.04^t
t=ln2/(ln1.04)
t=17.673 (approx)
so t=18 (although you will have slightly more than double)
The measure of the angle between the hypotenuse and the <em>short</em> leg is 60° and we can conclude that the side with length 10 is not the <em>long</em> leg of the 30 - 60 - 90 <em>right</em> triangle. (Right choice: False)
<h3>Is the length of a known arm in a 30 - 60 - 90 right triangle the long arm?</h3>
In accordance with geometry, the length of the <em>long</em> arm of a 30 - 60 - 90 <em>right</em> triangle is √3 / 2 times the length of the hypotenuse, the length of the <em>short</em> arm is 1 / 2 times the length of the hypotenuse and the length of the <em>long</em> arm is √3 times the length of the arm.
Thus, the measure of the angle between the hypotenuse and the <em>short</em> leg is 60° and we can conclude that the side with length 10 is not the <em>long</em> leg of the 30 - 60 - 90 <em>right</em> triangle. (Right choice: False)
To learn more on right triangles: brainly.com/question/6322314
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<u>Given </u>that the length of the hypotenuse is 8 and the angle is 42°
The length of the one leg of the triangle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
![sin \ \theta=\frac{opp}{hyp}](https://tex.z-dn.net/?f=sin%20%5C%20%5Ctheta%3D%5Cfrac%7Bopp%7D%7Bhyp%7D)
Substituting the values, we get;
![sin \ 42^{\circ}=\frac{x}{8}](https://tex.z-dn.net/?f=sin%20%5C%2042%5E%7B%5Ccirc%7D%3D%5Cfrac%7Bx%7D%7B8%7D)
Multiplying both sides of the equation by 8, we get;
![sin \ 42^{\circ}\times8=x](https://tex.z-dn.net/?f=sin%20%5C%2042%5E%7B%5Ccirc%7D%5Ctimes8%3Dx)
Simplifying, we get;
![0.669 \times 8=x](https://tex.z-dn.net/?f=0.669%20%5Ctimes%208%3Dx)
![5.352\approx x](https://tex.z-dn.net/?f=5.352%5Capprox%20x)
Therefore, the value of x is 5.35(app.)
Hence, Option A is the correct answer.
Answer:
20
Step-by-step explanation:
The number 20 can signal greatness defined. This number can also define why you live and your purpose. We all are special. We all shine! Be positive! 20 also signals that you can be young but old at the same time.