Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.
Let AD=x, Since given AB=3
AD+DB=3
x+DB = 3
DB = 3-x
Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem
Since given AD=BC,let us plugin BC=x in above step.
6x=11
x=
Now we know AD=x= and given CD=√2.
Let us apply Pythagoras theorem for ΔACD
= 2.315cm
Answer:
x + 52 + 78 = 180
Step-by-step explanation:
By angle sum property of a triangle:
Answer:
- 6.547
Step-by-step explanation:
Given that:
Sample size (n) = 1207
p = 0.85
p0 = 0.92
The test statistic :
Z = (p - p0) / √(p0(1 - p0) / n)
Z = (0.85 - 0.92) / √(0.92(1 - 0.85) / 1207)
Z = - 0.07 / √(0.92(0.15) / 1207)
Z = - 0.07 / √0.0001143
Z = - 0.07 / 0.0106926
Z = - 6.5465446
Z = - 6.547
Answer:
B (300, 400)
Step-by-step explanation:
The profit maximization will be when the sum of the products will be greater. The maximum profit will be when x is 300 and y is 400. If we put in the equation :
P = 40x + 55 y
A - When x = 0 , y = 500
P = [40 * 0] + [55 * 500]
P = 27500
B -
When x = 300 , y = 400
P = [40 * 300] + [55 * 400]
P = 34000
C -
When x = 380 , y = 200
P = [40 * 380] + [55 * 200]
P = 26200
D -
When x = 400 , y = 0
P = [40 * 400] + [55 * 400]
P = 16000
