Since they are right triangles use Pythagorean Theorem.
a^2 + b^2 = c^2 where c is the hypotenuse.
a. 12^2 + b^2 = 13^2
144 + b^2 = 169
subtract 144 from both sides
b^2 = 25
take the square root of both sides
t = 5 This is also know as a Pythagorean Triple 5-12-13
b. a^2 + 9^2 = 12^2
a^2 + 81 = 144
subtract 81 from both sides
a^2 = 63
take the square root of both sides
a = √63
a = √(9 * 7)
a = 3√7
c. 6^2 + 9^2 = c^2
36 + 81 = c^2
117 = c^2
take the square root of each side
c = √117
c = √(9*13)
x = 3√13
Answer: 2100 square feet
Step-by-step explanation: 60 x 35=2100
Answer:
1. Marcia
2. (I do not understand what this question is asking)
3. Marcia's estimation is closer
4. 690 people per year
Step-by-step explanation:
1. Marcia's estimation has a greater number of people because he estimated 600 people per year, while Adam estimated 2% of 12,500 (250 people per year).
2. (I do not understand what this question is asking)
3. marcias guess was 600 (600x50+12,500 = 42,500. 42,500 - 35,400 = 7,100) while Adam's guess was 250 per year (250x50+12,500 = 10,400). Therefore, Marcia's guess was closer to 35,400.
4. If Marcia adjusted her answer so that the population in Burbville was ACTUALLY going to be 34,500, she would need to adjust her estimation to 690 people per year.
Hope this helps! So sorry I couldn't understand question 2!
<span><span>(<span><span>(<span>−3</span>)</span><span>(2)</span></span>)</span><span>(3)</span></span><span>=<span><span>(<span>−6</span>)</span><span>(3)</span></span></span><span>=<span>−<span>18</span></span></span>
<em>- 8n + 9</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>A - B = ( -3n + 2 ) - (5n - 7)</em>
<em>= - 3n + 2 - 5n + 7</em>
<em>= - 8n + 9</em>
<em>Good luck !</em>
