Step One
Find z
All triangles have 180 degrees. No exceptions.
z + 47 + 90 = 180 combine like terms on the left.
z + 137 = 180 subtract 137 from both sides
z = 180 - 137
z = 43 degrees.
Step Two
Use the sine function to find y
Sin(43) = opposite side / hypotenuse
opposite side = 35
sin(43) = 35 / hypotenuse
hypotenuse = 35 / sin(43)
y = 35/0.6820
y = 51.32
Solve using cos(x)
Note this problem could have been done in a shorter way.
Cos(47) = adjacent / hypotenuse.
hypotenuse = adjacent / cos(47)
y = 35 / cos(47)
y = 35 / 0.6820
y = 51.32 Both answers agree. It is a good thing to know how to do this question both ways.
There are the same because 4/8 is rudeced to 1/2
(√10)/(√3)*(√3)/(<span>√3); multiplied by the conjugate which is = (</span><span>√30/3)</span>
Answer:
Simplification of the expression (x−3)( x^2−4x−7) is x³ -7x² + 5x + 21 .
Step-by-step explanation:
As the expression given in the question be as follow .
= (x−3)( x²−4x−7)
simplify the above
= x (x²-4x-7)-3 (x²-4x-7)
Now open the bracket
= x³ - 4x² -7x - 3x² + 12x + 21
= x³- 4x²-3x²-7x + 12x + 21
= x³ -7x² + 5x + 21
Thus the simplification of the expression (x−3)( x^2−4x−7) is x³ -7x² + 5x + 21 .
