Answer:
x = 90° or π/2 rad
Step-by-step explanation:
4+ 2 sin x=14-8 sin x
2 sin x + 8 sin x = 14 - 4
10 sin x = 10
sin x = 1
Using a calculator
x = sin
1
x = 90° or π/2 rad
Answer:

Step-by-step explanation:

Lets solve the fraction first

9.6230 x 0.44 = 4.23
4.23 x 3.721 = 15.76

Answer: c. OSRN
Step-by-step explanation:
Sides of similar shapes are proportional.
For Rectangle LOSP,
Length = LO = 4+6+8 = 18 units
Width = OS= 12 units
Here,
[proportionality constant]
a. For Rectangle LMQP,
Length = MQ = 12 units
Width = LM = 4 units
Here, 
LMQP is not similar to LOSP.
b. Similarly, for LNRP,
Width = LN= 4+6 = 10
length = NR = 12

LNRP is not similar to LOSP.
c. For OSRN,
Length = OS = 12
Width = ON = 8

OSRN is similar to LOSP.
d. For MNRQ,
Length= NR = 12
Width = MN = 6

MNRQ is not similar to LOSP.
Hence, the shape similar to rectangle LOSP is OSRN.
It’s height x width 0.45 X 11= 4.95
Make sure not to put the unit behind it ;)