First one is valid.
Followed by fourth and fifth one.
Hope this helps.
Answer:
3.14159...
Step-by-step explanation:
pi is <em>not </em>rational number
The value of c is { c | c ∈ R, c ∉ {-1,0,2,12} }.
c is a number such that it is not in the set {-1,0,2,12} else we end up with a domain value having multiple range values, contradicting with the definition of a function.
Answer: The measure of angle C is 107 degrees.
When, you have a quadrilateral inscribed in a circle, measure of the opposites sides are supplementary (they add to 180). Therefore, we can write and solve the following equation with angles D and B to find the value of x in the problem.
3x + 9 + 2x - 4 = 180
5x + 5 = 180
5x = 175
x = 35
Now, input x = 35 into the expression for A to find that the measure of angle A is 73.
Since A and C are supplementary:
A + C = 180
73 + C = 180
C = 107
Answer:
6.7 seconds
Step-by-step explanation:
Let's calculate the maximum height covered by the object
Max height= U²Sin²tita/2g
Where g is acceleration due to gravity
Max height= 40²(sin90)²/(2*9.81)
Max height= 1600/19.62
Max height=81.55 m
Total max height= 30+81.55
Total max height= 111.55 m
Time t it will take to travel from the max height at acceleration of 4.9 m/s²
S= ut + ½at²
u= 0 at Mac height
S= 111.5 m
111.5 = ½(4.9)t²
223/4.9= t²
45.5= t²
6.745 seconds= t
6.7 seconds= t
