Answer:
f(n) = 2 * f(n - 1) + 1
Step-by-step explanation:
First, notice that the difference between each neighboring term is different, so it is not linear, so we can rule out A and B. Now, it's all about finding a pattern. Eventually, through guess and check, you will get 2 * f(n - 1) + 1.
Perhaps there was a typo in C? Idk!!
Answer:
50 feet
Step-by-step explanation:
Use the Pythagorean Theorem to find the diagonal (or the hypotenuse)
30²+40²=x²
900+1600=x²
√2500=√x
x=50 feet
Answer:
Options (1), (3), (5) and (6)
Step-by-step explanation:
Option (1)
Both the circles M and H are same in shape. Therefore, both are similar.
True
Option (2)
MH = MS = [Radii of a circle]
MH = MO + OH
MH = ME + OH [Since, MO = ME]
MH = 10 + 25 = 35 cm
Area of circle M = πr²
= π(35)²
= 1225π
Area of circle H = π(25)²
= 625π

Area of M = 1.96(Area of H)
False
Option 3
OH + MS = 25 + 35
= 60 cm
True
Option 4
m∠HMS = 90°
Can't be figured out with the given informations
False
Option 5
Diameter of circle H = 2(radius)
= 2(25)
= 50 cm
True
Option 6
Circumference of circle S = 2πr
= 2π(ES)
Circumference of circle M = 2π(MS)
Ratio of the circumference of circle S and M = 
= 
True.
Options (1), (3), (5) and (6) are correct.
Answer:
x = 162
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the interior angles of the quadrilateral and equate to 360
90 + 60 + x + 48 = 360 , that is
198 + x = 360 ( subtract 198 from both sides )
x = 162