Answer: 104
Step-by-step explanation:
If you would like to write the equation in the above form, you can calculate this using the following steps:
x^2 - 8x + 13 = 0
(x - 4)^2 = x^2 - 8x + 16
(x - 4)^2 - 3 = 0
(x - 4<span>)^2 = 3
</span>
The correct result would be (x - 4<span>)^2 = 3.</span>
Answer:
<em>71.6 degrees </em>
Step-by-step explanation:
The formula for calculating the angle between two vectors is expressed as;
u.v = |u||v|cos theta
u.v = (8, 4).(9, -9)
u.v = 8(9)+4(-9)
u.v = 72-36
u.v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+(-9)²
|v| = √81+81
|v| = √162
36 = √80*√162 cos theta
36 = √12960 cos theta
36 = 113.84 cos theta
cos theta = 36/113.84
cos theta = 36/113.84
cos theta = 0.3162
theta = arccos (0.3162)
<em>theta = 71.6 degrees </em>
<em>Hence the angle between the given vectors is 71.6 degrees </em>
Answer:
C
Step-by-step explanation:
A quadrilateral is a shape with 4 sides.
A is a triangle, 3 sides
B is a pentagon, 5 sides
D is a hexagon, 6 sides
C is a quadrilateral, 4 sides
Answer:
x = 120°
Step-by-step explanation:
The equation is given to you:
The sum of the interior angles can be found using the equation:
Sum = (n - 2)180
Note that:
n = # of sides.
Plug in 6 for n in the equation.
∑ = (6 - 2)180
First, solve for the parenthesis:
∑ = (4)180
Next, multiply:
∑ = 4 * 180
∑ = 720
You are solving for one angle. Note that there are 6 angles. Divide the sum of the angles with 6:
720/6 = 120
120° is your answer.
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