If b = the number of boys, which alg expression represents the phrase. The sum of the number of boys and 15 girls is b+15.
Always solve equations for such questions using the information provided in the question. Then, as stated in the solution, we may locate the two unknown variables using the two equations that were created.
This kind of question can be answered by assuming any two numbers, x and y, and then applying the condition specified in the question. We know quite well that any equation that can be written in the form ax+by+c=0, where a, b, and c are real integers, and a and b are not zero, is known as a linear equation in two variables. When we apply the condition, we obtain two linear equations with two variables.
Given that the number of boys is b,
Number of girl = 15 girls
Thus the sum of noys and girls is b+15.
To learn more about algebraic equation visit link:
brainly.com/question/2972832
#SPJ9
I think you would need 3 perentecis for this and you need to find the least common multiplant between 12 and 16
Given tan g = 5/12, find cos g:
5
tan g = ———
12
The tangent function is, by definition, the quotient between sine and cosine:
sin g 5
———— = ———
cos g 12
Product of them extremes = product of the means
12 · sin g = 5 · cos g
Square both sides:
(12 · sin g)² = (5 · cos g)²
12² · sin² g = 5² · cos² g
144 · sin² g = 25 · cos² g
But sin² g = 1 – cos² g. Substitute it for sin² g into the equation above, and you have
144 · (1 – cos² g) = 25 · cos² g
Multiply out the brackets, and then isolate cos² g:
144 – 144 · cos² g = 25 · cos² g
144 = 25 · cos² g + 144 · cos² g
144 = 169 · cos² g
Divide both sides by 169:
144
cos² g = ———
169
12²
cos² g = ———
13²
cos² g = (12/13)²
Now, take the square root of both sides:
cos g = ± √(12/13)²
12
cos g = ± ———
13
The sign of cos g depends on which quadrant the angle g lies. As tan g = 5/12, which is positive, then g lies either in the 1st or the 3rd quadrant:
• If g lies in the 1st quadrant, then
5
cos g > 0 ⇒ cos g = ——— ✔
13
• If g lies in the 3rd quadrant, then
5
cos g < 0 ⇒ cos g = – ——— ✔
13
I hope this helps. =)
Tags: <em>trigonometric relation tangent cosine sine tan cos sin trig trigonometry</em>
The answer is 8. Hope this helps.
Answer: David = 160, Aaron = 55
Step-by-step explanation:
