Answer:
Solving the equation 
we get 
Step-by-step explanation:
Noah's step to solve the equation are:
The next step is to take square root on both sides because: 
Now, we know that: 
So, Solving the equation we get
35/8 = 4.376 5/3 = 1.666… 4.376/1.666…
Therefore 2.625 pieces
Given:
22
gallons of 16% ammonia
24%
ammonia
Find:
Number
of gallons of water to remove
Solution:
Let
n = number of gallons needed to obtain 24% ammonia
22
gallons (0.16) = n (.24)
<span>N = 14.67 gallons of water</span>
To solve this, let us first imagine a smaller triangle
created by the head of Jim (A), the top of the lamp post (B), and somewhere on
the body of the lamp post which is directly perpendicular to the head of Jim
(C).
CB = 16 – 6 = 10 ft
AC = 4 ft
Calculate for angle B using tan function:
tan B = AC / CB
B = tan^-1 (4 / 10)
B = 21.8°
Now imagine a bigger triangle created by the tip of
shadow (D), the top of the lamp post (B), and the base of the lamp post (E).
BE = 16 ft
B = 21.8°
We can calculate for DE using tan function:
tan B = DE / BE
(16 ft) tan 21.8 = DE
DE = 6.4 ft
Since Jim is 4ft away from the base of the lamp post,
therefore the length of the shadow is:
6.4 ft – 4 ft
= 2.4 ft
Therefore the length of Jim’s shadow is 2.4 ft long
