Answer:
12 feet ladder
Step-by-step explanation:
Height of 12 ft ladder :
Using Pythagoras :
Tan θ = Adjacent / hypotenus
Tan 57 = h / 12
1.5398649 * 12 = 18.48 feets
For 16 feet ladder :
Tan θ = Adjacent / hypotenus
Tan 30 = h / 16
0.5773502 * 16 = 9.24 feets
18.48 > 9.24
Hence, he'll climb the 12 feets ladder to the higher height
8t-5t=76
3t=76
t=76/3 or 25 1/3
1) 4(x-6)<2
2) 7n+19<8
3) 3(11+x)>=15
4) 4n-12<6
5) 2n+14>=1
6) 2(x+7)>=10
7) 11n-3>9
8)8x+4<=13
9)5n+16>=9
10) 4(x+2)<14
Answer: There are 32 students who like brussels sprouts but dislike beans.
Step-by-step explanation:
Since we have given that
Number of students eat in the cafeteria = 120
Fraction dislike lime beans = 
Fraction who dislike lime beans and brussles sprouts both = 
Fraction who dislikes lime beans but not brussles is given by

So, Number of students who like brussels sprouts but dislike lima beans is given by

Hence, there are 32 students who like brussels sprouts but dislike beans.
Answer:
w = -8
Step-by-step explanation:
Distribute: -6 = 2w + 10
Remove the 10: -6 -10 = 2w +10 -10 ---> -16 = 2w
Isolate the variable: -16/2 = 2w/2
Answer: -8 = w