Answer:
Area of of the doghouse which is in the shape of right trapezoid is 66.5 square feet.
Step-by-step explanation:
The answer is 90°
The sum of all angle in a triangle is 180°
So,
180-(45+45)
= 180-90
= 90°
Tan(tan−1(yx)−θ) is the slope m. Then use "point slope formula" (if you want an equation of the line, that is...) Labeling the origin "O" and the point (x,y) "P", the segment ¯OP makes an angle of tan−1(yx) with the positive x-axis
<span>(4x-2)×6(2x+7) =
</span>
(4x-2) <span>× 12x + 42 =
48x^2 -24x + 168x -84 = 0
</span>
<span>48x^2 +144x -84 = 0
a = 48 b = 144 and c = -84
and the solution is
x1=.5 and x2=-3.5
</span>
Answer: 0.49668352
Step-by-step explanation:
Given : The unemployment rate : p = 20%= 0.20
Sample size : n =8
Let x be the binomial variable that represents the number of unemployed residents.
Binomial probability distribution formula : 
The probability that at least two of the residents were unemployed :





Hence, Required probability =0.49668352