Answer:
p = -10 and p = -5
Step-by-step explanation:
Given inequality,
![90 < -30 p + 15](https://tex.z-dn.net/?f=90%20%3C%20-30%20p%20%2B%2015)
Subtract -15 on both sides of inequality,
![90 - 15 < -30 p](https://tex.z-dn.net/?f=90%20-%2015%20%3C%20-30%20p)
![75 < -30 p](https://tex.z-dn.net/?f=75%20%3C%20-30%20p)
Divide both sides of inequality by 30
![2.5](https://tex.z-dn.net/?f=2.5%3C-p)
( a < b ⇒ -a > -b )
![-2.5>p](https://tex.z-dn.net/?f=-2.5%3Ep)
Hence, p must be less than -2.5
So, the possible value of p from the given options are,
p = -10 and p = -5.
15n - 12
i think this is right this is my answer
Answer:
Homogeneous = same
Heterogeneous = different
Step-by-step explanation:
It's just the defenition
Answer:
3854ft
Step-by-step explanation:
By assuming that the cable is not doubled.
in order to find the length of the base of the mountain
tan74°=3400/x
x= 3400/tan74°
x≈ 975ft
Therefore, the length of the cable equals to
=![\sqrt{3400^2+(975 + 840)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B3400%5E2%2B%28975%20%2B%20840%29%5E2%7D)
length≈ 3854ft
Thus, the shortest length of cable needed is 3854ft