Answer:


Step-by-step explanation:
Required
Find m and n
Considering the given angle, we have:

This gives:

Make m ths subject


So, we have:


Considering the given angle again, we have:

This gives:

Make n the subject


So, we have:


The inequality that represents the domain of the function is 
<h3>How to determine the domain?</h3>
The function is given as:

Set the radicand greater than or equal to 0

Multiply through by 2
x - 20 ≥ 0
Add 20 to both sides
x ≥ 20
Hence, the domain of the function is x ≥ 20
Read more about domain at:
brainly.com/question/1770447
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Answer:
The answer is x = 4
Step-by-step explanation:
1. First you need to distribute the 3/4 * (x + 8). This looks like (3/4) * (x) + (3/4) * (8) = 9
2. Next you simplify the distributed equation, 3/4x + 6 = 9
3. Now subtract 6 from both sides, 3/4x = 3
4. Multiply both sides by 4/3, 4/x * 3/4x = 3 * 4/3
5. Simplify, x = 4
Answer:
Part B: 8 and 2 (more answers ofc)
Part C: Two more dots on 6 (more than one answer tho)
Step-by-step explanation:
<em>Part B:</em>
The added number of dots is 39 at the beginning and the mean is 3.9. (39/10). Since we have to add 2 dots the equation will be (<em>39 + ? + ?) / 12 = Less than 3.9</em>. We also need the range to increase. This means that one of the blanks must be larger than 7 (the largest dot on the dot plot!) I just went with 8 to keep the mean as small as possible. This leaves 1 more blank to figure out. There are multiple answers to this problem but I went with 2 just because then the mean would be 3.5 a better answer than something like 3.58333333333.
<em>Part C:</em>
If you think about it all the dots added up should be 6x12 = 72. Currently all the dots add up to 60. 72-60 is 12. This means that 12 is equal to 2 dots. I guess you could also do 5 and 7, 8 and 4, etc.
G'day
-birb
Answer:
a. 
b. $225
Step-by-step explanation:
Let Mr. Scruggs got money for his birthday be 'a'
He spent
of it on dog treats = a × 
= 
remainder amount would be = a - 
= 
Then he divided the remainder money equally among 3 favorite charities.

= 
a. Each charity receive
b. If he donated $60 to each charity.


a = $225
Mr. Scruggs received $225 for his birthday.