Area of the Base = 6 * side^2 / 4 * tan (180/6)Area of the Base = 6 * 16 / 4 * 0.57735Area of the Base = 96 / 2.3094 Area of the Base = 41.5692387633
Area of 1 Face = 2 * 6 = 12Area of 6 Faces = 72
Total Area = 41.5692387633 + 72Total Area = 113.5692387633
Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
First, we start with the vertical line h that divides y, that is <u>opposite to an angle of 30º, with hypotenuse 34</u>, hence:
sin(30º) = h/34
0.5 = h/34
h = 17.
Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:
![\sin{45^\circ} = \frac{17}{x}](https://tex.z-dn.net/?f=%5Csin%7B45%5E%5Ccirc%7D%20%3D%20%5Cfrac%7B17%7D%7Bx%7D)
![x = \frac{17}{\sin{45^\circ}}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B17%7D%7B%5Csin%7B45%5E%5Ccirc%7D%7D)
x = 24.
y is divided into two segments.
- The first is the adjacent to the angle of 30º, while the hypotenuse is 34.
- The second is adjacent to the angle of 45º, while the hypotenuse is 24.
Then:
![\cos{30^\circ} = \frac{y_1}{34}](https://tex.z-dn.net/?f=%5Ccos%7B30%5E%5Ccirc%7D%20%3D%20%5Cfrac%7By_1%7D%7B34%7D)
![y_1 = 34\cos{30^\circ} = 29.4](https://tex.z-dn.net/?f=y_1%20%3D%2034%5Ccos%7B30%5E%5Ccirc%7D%20%3D%2029.4)
![\cos{45^\circ} = \frac{y_2}{24}](https://tex.z-dn.net/?f=%5Ccos%7B45%5E%5Ccirc%7D%20%3D%20%5Cfrac%7By_2%7D%7B24%7D)
![y_2 = 24\cos{45^\circ} = 17](https://tex.z-dn.net/?f=y_2%20%3D%2024%5Ccos%7B45%5E%5Ccirc%7D%20%3D%2017)
Then, the value of y is given by:
.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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Answer:
The first choice
Step-by-step explanation:
It says that its decreasing so the slope is negative.
It also starts of with 565 so that's the y intercept
The easiest, simplest way to determine if a quadrilateral has a congruent angle is to pull out a protractor and measure the angles. How ever many angles have the same degrees is how many congruent angles a quadrilateral has.<span />