Answer:
The answer is 5 hours.
Step-by-step explanation:
First you have to figure out how much money he already had by working at the coffee shop, so take the 15 hours and multiply it by 11$ he makes per hour and you get 165$, now you have to subtract the 200$ by 165$ to figure out how much he needs so 200 - 165 = 35 that is needed, then you keep going up an hour until your total comes above 35 so if he does 1 hour its 8, 2 hours is 16, 3 hours is 24, 4 hours is 32, and 5 hours is 40 which is finally enough to reach his goal.
The required value of (g°h)(-3) is 5.
Step-by-step explanation:
Given,
g(x)= x-2 and h(x) = 4 - x
To find (g°h)(-3)
Now,
(g°h)(x) = g(h(x))
= g(4-x)
= (4-x)-2 = 2-x
So,
(g°h)(-3) = 2-(-3) = 5 [ putting x=-3]
It’s square root 240 or in radical form 4 root 15
AB = 30 in and BC = 50 in.
We use Pythagorean theorem to solve this. Since AN is an altitude, this means that it is perpendicular to BC. This means BN and AN are the legs of one right triangle, with AB being the hypotenuse:
18²+24² = AB²
324 + 576 = AB²
900 = AB²
Take the square root of both sides:
√900 = √AB²
30 = AB
NC and AN form the legs of the other right triangle, with AC being the hypotenuse:
24²+NC² = 40²
576 + NC² = 1600
Subtract 576 from both sides:
576 + NC² - 576 = 1600 - 576
NC² = 1024
Take the square root of both sides:
√NC² = √1024
NC = 32
BC = BN + NC = 18 + 32 = 50
