Answer:
5/9
Step-by-step explanation:
Let the denominator be x and numerator be y.
Given, numerator is 4 less than denominator
=> y = x - 4 ...(1)
When 5 is added to both:
Numerator = y + 5 , and, denominator = x + 5
Now their ratio is 5/7.
=> (y + 5)/(x + 5) = 5/7
=> 7(y + 5) = 5(x + 5)
=> 7y + 35 = 5x + 25
=> 7y - 5x = 25 - 35
=> 7(x - 4) - 5x = -10 {y=x-4}
=> 7x - 28 - 5x = -10
=> 2x = 18
=> x = 9
Thus,
Fraction is y/x = (x-4)/x = (9-4)/9 = 5/9
Sin(A) / a = Sin(C)/c
Sin(A) = a * Sin(C)/c
Sin(A) = 32 * Sin(30)/16
Sin(A) = 32 * 0.03125
Sin(A) = 1
A = 90°
<span>By the law of sines, angle A must be 90 degrees. That makes side a the hypotenuse of a 30-60-90 triangle. There is only one triangle. The third side is 16</span>√<span>3, and the third angle 60</span>°<span>.</span>
Answer:
Step-by-step explanation:
-3 is less than 0, so you are going to use 
.
Plug in values:
Let x equal miles traveled<span>2.25+0.75(x-1/2)/(1/8)=12
2.25+.75(x-1/2)*8=12
2.25+6(x-1/2)=12
2.25+6x-3=12
6x-.75=12
6x=12.75n
x=12.75/6=2.125 or 2+1/8 miles </span>
There are no restrictions on the values x can and can’t be, so in this case, your domain would be the set of all real numbers.
