Answer:

Step-by-step explanation:

Geometric formula sequence: 
(where
is the first term of the sequence and
is the common ratio)
To find the common ratio, divide one of the terms by the previous term:

From inspection, 
Therefore, 
Answer: a) 0.2500
b) 0.1875
c) 0.4375
d) 1.414
e) 0, x/2
f) 1.3333
g) 0.4714
h) 2
Step-by-step explanation: see attachment below
Answer:
(9.37, 17.7) ; (14.10, 19.42); (20.8, 22.3)
Step-by-step explanation:
For the first picture :
The missing angle :
180 - (32 + 90)
180 - (122) = 58°
To obtain the length of side x:
From ptthagoras:
Tan58° = opposite / Adjacent
1.6003345 = 15 / x
x = 15 / 1.6003345
= 9.37
y = sqrt(15^2 + 9.37^2)
y = sqrt(312.7969)
y = 17.7m
2)
Missing angle :
From ptthagoras :
Sin54° = opposite / hypotenus
0.8090169 = y/ 24
y = 0.8090169 * 24
y = 19.42
x = sqrt(24^2 - 19.42^2)
x = sqrt(198.8636)
x = 14.10
3)
Sin21° = opposite / hypotenus
0.3583679 = 8 /y
y = 8 / 0.3583679
y = 22.3
x = sqrt(22.3^2 - 8^2)
x = sqrt(433.29)
x = 20.8
Answer:
x = 11
Step-by-step explanation:
By intersecting chords theorem:
