The simplest way to do this is to set up equivalent fractions. So, you'd do:

=

and then solve for x.
x=52
3. It has 3 symmetrical lines, so, therefore, has 3 lines of reflectional symmetry.
Hope this helps!
<em>~cupcake </em>
Multiplying and dividing with conjugate of 2+i in the given expression, we get(3+ 4i)(2-i)/(2+i)(2-i)=(6-3i+8i-4i^2)/(4-i^2)=(10+5i)/(4+1)=(10+5i)/5=2+i=a+bi<span>Thus a=2</span>
Answer:
21.44 ft
Step-by-step explanation:
(sketch to understand)
use SOH/CAH/TOA rules to solve
sin rule is used
solve for x
(working in the picture attached)
Have a look at the image attachment. I've added the points A, B, C, D such that
A = base of the diving board pole, or location of the pool deck
B = the location 1.6 meters directly above point A
C = location of the person's eyes
D = diving board location
The goal is to find the length of segment AD
We are given
AB = 1.6
BC = 3.67
what we want to find is
BD = x
Due to the fact we have similar right triangles ABC and CBD, we can form the proportion below and solve for x
AB/BC = BC/BD
1.6/3.67 = 3.67/x
1.6*x = 3.67*3.67
1.6*x = 13.4689
1.6*x/1.6 = 13.4689/1.6
x = 8.4180625
So BD is 8.4180625 meters
Use this to find the length of AD
AD = AB + BD
AD = 1.6 + 8.4180625
AD = 10.0180625
which rounds to
10.0 meters when rounding to the nearest tenth (one decimal place)
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Answer: choice D) 10.0 m