Answer:
90°, 51° and 39°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Let the smallest angle be x then the other angle is x + 12, thus
x + x + 12 + 90 = 180, that is
2x + 102 = 180 ( subtract 102 from both sides )
2x = 78 ( divide both sides by 2 )
x = 39
The other angle is 39 + 12 = 51
The 3 angles are 90°, 51° and 39°
<span>y=x(x+5)(x-8)
The zeros of </span><span>y=x(x+5)(x-8), means to solve the value of x, when y =0
</span><span>y=x(x+5)(x-8) = 0
</span><span>
x(x+5)(x-8) = 0
x = 0 or (x+5) = 0 or (x - 8) = 0
x = 0 x + 5 = 0 x - 8 = 0
x = 0 -5 x = 0 + 8
x = -5 x = 8
Hence the zeros are x = 0, x = -5, x = 8</span>
Answer:
The angle W is approximately 7°.
Step-by-step explanation:
Since angle X is adjacent to sides y and w and opposite to side x, we calculate the length of side x by Law of the Cosine:
(1)
Where:
- Side lengths, in centimeters.
- Angle, in sexagesimal degrees.
If we know that 
, 
and 
, then the length of the side x is:
By Geometry we know that sum of internal angles in a triangle equals 180°. If X is an obtuse, then Y and W are both acute angles. By Law of the Sine we find angle W:
(2)
![W = \sin^{-1}\left[\left(\frac{w}{x} \right)\cdot \sin X\right]](https://tex.z-dn.net/?f=W%20%3D%20%5Csin%5E%7B-1%7D%5Cleft%5B%5Cleft%28%5Cfrac%7Bw%7D%7Bx%7D%20%5Cright%29%5Ccdot%20%5Csin%20X%5Cright%5D)
If we know that , and , then the angle W is:
Hence, the angle W is approximately 7°.
C. The area is increased by a factor of 25.
Hope this helps!
86= Steve + Tom
Steve= 14+2(Tom)
86= (14+2T) + T
86-14 = 3T
62 = T
Steve sold 62 tickets
86-62 = 24 tickets Tom sold
