The speaker is the encoder. That is the correct answer B.
Answer:
![\sin(50^o) = \frac{3}{c}](https://tex.z-dn.net/?f=%5Csin%2850%5Eo%29%20%3D%20%5Cfrac%7B3%7D%7Bc%7D)
Step-by-step explanation:
Given
See attachment for triangle
Required
Expression to solve c
To solve for c, we simply calculate the sine of angle at B
i.e.
![\sin(50^o) = \frac{Opposite}{Hypotenuse}](https://tex.z-dn.net/?f=%5Csin%2850%5Eo%29%20%3D%20%5Cfrac%7BOpposite%7D%7BHypotenuse%7D)
This gives:
![\sin(50^o) = \frac{3}{c}](https://tex.z-dn.net/?f=%5Csin%2850%5Eo%29%20%3D%20%5Cfrac%7B3%7D%7Bc%7D)
Make c the subject
![c = \frac{3}{\sin(50^o)}](https://tex.z-dn.net/?f=c%20%3D%20%5Cfrac%7B3%7D%7B%5Csin%2850%5Eo%29%7D)
Answer:
The number is equal to ![93](https://tex.z-dn.net/?f=93)
Step-by-step explanation:
we know that
represent the ![100\%](https://tex.z-dn.net/?f=100%5C%25)
so
By proportion
Find what number represent the ![75\%](https://tex.z-dn.net/?f=75%5C%25)
![\frac{124}{100}=\frac{x}{75}\\ \\x=124*75/100\\ \\x=93](https://tex.z-dn.net/?f=%5Cfrac%7B124%7D%7B100%7D%3D%5Cfrac%7Bx%7D%7B75%7D%5C%5C%20%5C%5Cx%3D124%2A75%2F100%5C%5C%20%5C%5Cx%3D93)
<h3>The measure of third angle of triangle is 67 degrees</h3>
<em><u>Solution:</u></em>
Given that,
The support of a wood table are in the shape of a right triangle
Since it is a right angle, one of the angle must be ![90^{\circ}](https://tex.z-dn.net/?f=90%5E%7B%5Ccirc%7D)
The measure of one of the angles is 23 degrees
To find: third angle angle
We know that,
Sum of all angles in triangle equals 180 degrees
Therefore,
![90^{\circ} + 23^{\circ} + \text{ third angle } = 180^{\circ}\\\\ \text{ third angle } + 113 = 180\\\\ \text{ third angle } = 180 - 113\\\\ \text{ third angle } = 67^{\circ}](https://tex.z-dn.net/?f=90%5E%7B%5Ccirc%7D%20%2B%2023%5E%7B%5Ccirc%7D%20%2B%20%5Ctext%7B%20third%20angle%20%7D%20%3D%20180%5E%7B%5Ccirc%7D%5C%5C%5C%5C%20%5Ctext%7B%20third%20angle%20%7D%20%2B%20113%20%3D%20180%5C%5C%5C%5C%20%5Ctext%7B%20third%20angle%20%7D%20%3D%20180%20-%20113%5C%5C%5C%5C%20%5Ctext%7B%20third%20angle%20%7D%20%3D%2067%5E%7B%5Ccirc%7D)
Thus measure of third angle of triangle is 67 degrees
Answer:
6x³ - 17x² + 11x - 2
Step-by-step explanation:
The cubic polynomial in general form is:
- ax³+bx²+cx+d = (x-x1)(x-x2)(x-x3)
zeroes are
then we can get the polynomial as:
- (x-2)(x-1/3)(x-1/2)=0
- (x-2)(3x-1)(2x-1)=0
- (3x²-x-6x+2)(2x-1)=0
- (3x²-7x+2)(2x-1)=0
- 6x³-3x²-14x²+7x+4x- 2=0
- 6x³ - 17x² + 11x - 2= 0
So the required polynomial is: