Answer:
The answer to your question is: 20 hours.
Step-by-step explanation:
Data
Hortencia = $350
Alex $18 / h
# hours Alex must paint to make more money than Hortencia = ?
Process
Equation 18 x n > 350
n > 350 / 18
n > 19.4 hours
If Alex work 19.4 hours, he will make the same amount of money than Hortencia, then He needs to work 20 hours.
We know that this is a right triangle, so one of the sides has to be 90 (indicated by the square on the corner) The angles of all triangles must add to exactly 180. Subtract 90 and 35 from 180
If we do that, we get 55. We know that the unknown angle is 55 now. Now, it asks us for b. We can pythagoras theorem which states that (a^2 + b^2 = c^2) We already know c (c is 20) It does not tell us 2 of the sides but we do know that the answer is either B or D.
The side opposite of 90* should be the largest. The size opposite of 55 would be the second largest one. The side opposite of 35 would be the smallest one. Using pythagoras theorem again, I can try plugging in both 11.47 and 16.38 with c^2 - b^2 = a^2
11.47:
400 - 132 =268 (sq root now = 16.37) this would mean that A is larger than B. B should be larger than A. Try the other one
16.37:
400 -268 = 132 (sq root = 16.37) this would mean that B is larger than A which is what we want.
Thus, 16.37 = B and the last option would be correct (D)
Hope this helps, give an honest rating for me please
Hey there
_________________
The correct answer is:
f(x+5)=(x+5)^2+3(x+5)-10
f(x+5)=x^2+10x+25+3x+15-10
f(x+5)=x^2+13x+30 and f(x+5)=x^2+kx+30 so
k=13
Now factor x^2+13x+30
Find j and k such that jk=ac=30 and j+k+b=13 so j and k are 10 and 3 so
(x+3)(x+10)
So the two zeros occur when x=-3 and -10 the smallest of which is:
x=-10
___________________________
Hope this helps you
Answer:
No solution
Step-by-step explanation:
This answer has no solution, follow these steps to see how.
First, you add 7 on both sides.
Then you should have 2b > -7 +2b
You see how there is a 2b on both sides? this makes the problem unsolvable.
Say you were to continue though. You would subtract 2b on both sides and end up getting 0 > -7. Therefore there is no solution.
