Answer:
B. √117
Step-by-step explanation:
The hypotenuse is the side opposite the right angle.
When using the Pythagorean theorem, the legs touch the right angle
a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse.
x^2 +6^2 = (sqrt(117))^2
This is a mixture problem.
mass1 * karat1 + mass2*karat = total mass * total carat
Total mass = 200g.
Total karat = 14.
Let the 9 karat gold to be mixed be x. The 18 karat would weight (200 - x). Since the total = 200g.
9*x + 18*(200 -x) = 14*200
9x + 18*200 - 18*x = 14*200
18*200 + 9x - 18x = 14*200
3600 - 9x = 2800
3600 - 2800 = 9x
800 = 9x
9x = 800
x = 800/9
x ≈ 88.89
Therefore 88.89 grams of 9 karat gold must be mixed.
Answer:
He must mow 40 lawns next summer to reach $1000.
Step-by-step explanation:
1000/25=40
Answer:
f(- 2) = 21
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x)
f(- 2) = - 5(2(- 2) + 1) + 6 = - 5(- 4 + 1) + 6 = - 5(- 3) + 6 = 15 + 6 = 21