Answer:
21
Step-by-step explanation:
Law of cosines
![\tt c=\sqrt{AC^2+BC^2-2\cdot AC \cdot BC\cdot\cos C}\\\\{} \ \ =\sqrt{10^2+17^2-2\cdot10\cdot17\cdot(-0.152985)}\\\\{} \ \ \approx\sqrt{100 +289+52} \approx\sqrt{441} \approx21 \ units](https://tex.z-dn.net/?f=%5Ctt%20c%3D%5Csqrt%7BAC%5E2%2BBC%5E2-2%5Ccdot%20AC%20%5Ccdot%20BC%5Ccdot%5Ccos%20C%7D%5C%5C%5C%5C%7B%7D%20%5C%20%5C%20%3D%5Csqrt%7B10%5E2%2B17%5E2-2%5Ccdot10%5Ccdot17%5Ccdot%28-0.152985%29%7D%5C%5C%5C%5C%7B%7D%20%5C%20%5C%20%5Capprox%5Csqrt%7B100%20%2B289%2B52%7D%20%5Capprox%5Csqrt%7B441%7D%20%5Capprox21%20%5C%20units)
Let
be the amount (gal) of the 40% slime solution you end up using. You want to end up with 120 gal of the 50% solution, so that you would use
gal of the 70% solution.
You want the final solution to consist of 50% slime, or 60 gal of slime. Each gal of the 40% solution contributes 0.4 gal of slime, while each gal of the 70% solution contributes 0.7 gal of slime. This means
![0.4x+0.7(120-x)=0.5\cdot120=60](https://tex.z-dn.net/?f=0.4x%2B0.7%28120-x%29%3D0.5%5Ccdot120%3D60)
![\implies0.4x+84-0.7x=60](https://tex.z-dn.net/?f=%5Cimplies0.4x%2B84-0.7x%3D60)
![\implies24=0.3x](https://tex.z-dn.net/?f=%5Cimplies24%3D0.3x)
![\implies x=80](https://tex.z-dn.net/?f=%5Cimplies%20x%3D80)
so the answer is B.
Answer:
1073.38
Step-by-step explanation:
975 × 0.01 = 9.75
9.75 + 975 = 984.75
984.75 × 0.09 = 88.6275
88.6275 + 984.75 = <u>1073.38</u>
Answer: 1
Step-by-step explanation:
1
Answer:
2
Step-by-step explanation:
{(-6, -4), (4, -8),(-6,9), (1, -3)}
These ordered pairs are not a function.
-6 has 2 outputs.