Answer:
about 14 years _Jevahnie lil sister
Step-by-step explanation:
Answer:
B 6 shirts for 81
Step-by-step explanation:
81/6 = 13.5
Let
be the amount of the 30% alloy and
the amount of the 60% alloy the metalworker will use. However much is used, the final alloy will have a mass of
![x+y=100](https://tex.z-dn.net/?f=x%2By%3D100)
kilograms. For each kg of the 30% alloy used, 0.3 kg is copper; similary, each kg of the 60% alloy contributes 0.6 kg, so that
![0.3x+0.6y=0.54(x+y)=54](https://tex.z-dn.net/?f=0.3x%2B0.6y%3D0.54%28x%2By%29%3D54)
Now,
![x+y=100\implies y=100-x](https://tex.z-dn.net/?f=x%2By%3D100%5Cimplies%20y%3D100-x)
![\implies0.3x+0.6(100-x)=54](https://tex.z-dn.net/?f=%5Cimplies0.3x%2B0.6%28100-x%29%3D54)
![\implies60-0.3x=54](https://tex.z-dn.net/?f=%5Cimplies60-0.3x%3D54)
![\implies0.3x=6](https://tex.z-dn.net/?f=%5Cimplies0.3x%3D6)
![\implies x=20](https://tex.z-dn.net/?f=%5Cimplies%20x%3D20)
![\implies y=100-20=80](https://tex.z-dn.net/?f=%5Cimplies%20y%3D100-20%3D80)
Answer: ![\frac{\sqrt{85}}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B85%7D%7D%7B7%7D)
<u>Step-by-step explanation:</u>
(7, 6)
Use Pythagorean Theorem to find the hypotenuse:
7² + 6² = c²
49 + 36 = c²
85 = c²
√85 = c
adjacent = 7, opposite = 6, hypotenuse = √85
sec θ =
= ![\frac{\sqrt{85}}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B85%7D%7D%7B7%7D)