Answer:
5 meters
Step-by-step explanation:
So Zane starts at -25 meters, then, after 35 seconds, he makes it to the top. The questions is asking how high he climbed every 7 seconds. As we know, 7x5 is equal to 35. this means that we can divide 35 and 25 by 5 to get the answer. 25/5 is equal to 5, so that means he climbed 5 meters every 7 seconds. I hope this helps!
Use the Law of Sines (sina/A=sinb/B=sinc/C for any triangle)
YZ/sin30=50/sin90
YZ=50sin30 (sin90=1 :P)
YZ=25m
Use the 30,60,90° triangle ratios 1, √3, 2
YZ/1=50/2
YZ=25m
Using the Pythagorean Theorem....
(2*25)^2=YZ^2+(√3*YZ)^2
2500=YZ^2+3YZ^2
2500=4YZ^2
625=YZ^2
25m=YZ
Answer: Your answer would be A 1 1/4
Step-by-step explanation:
A pentagon has five sides
Let the number of marbles be M,
then,
M=6a+4 (when shared among 6 students)
M=7b+4 (when shared among 7 students)
M=8a+4 (when shared among 8 students)
thus
M-4=6a
M-4=7b
M-4=8c
That is M-4 is the smallest number which is a multiple of 6, 7 and 8
Thus we need to find the LCM(6, 7, 8)
LCM(6, 7, 8)=LCM(2*3, 7, 2*2*2) = 2*2*2*3*7=8*21=168
The smallest M-4 is 168,
so the smallest M is 168+4=172
Answer: 172