Answer:
The distance the tip of the second hand travels in 10 minutes is 502 cm.
Step-by-step explanation:
Given : The second hand on a clock is 8 cm long.
To find : What is the distance the tip of the second hand travels in 10 minutes?
Solution :
The circumference of clock is 
The radius is r=8 cm
i.e. in 1 minute it cover 
In 10 minutes it cover 
In 10 minutes it cover 
In 10 minutes it cover 
Therefore, the distance the tip of the second hand travels in 10 minutes is 502 cm.
1. The volume for prisim Q will be larger because the length is longer.
2. if the base is twice as large for prisim Q, the volume over all will be larger.
Answer:
(Question 12) The answer would be B, they are not proportional.
Step-by-step explanation:
It depends if it is
1. 3x+(1/14)=(2x)/8 or
2. (3x+1)/14=(2x)/8
if it is 1
1.
3x+(1/14)=2x/8
simplify 2x/8
2x/8=x/4
3x+(1/14)=x/4
find least common multiple of 14 and 4
factors of 14=2 and 7
factors of 4 are 2 and 2 so LCM=2 times 2 times 7=28
multiply both sides by 28
84x+2=7x
subtract 7x from both sides
77x+2=0
subtract 2 from both sides
77x=-2
divide both sides by 77
x=-2/77
2.
(3x+1)/14=2x/8
simpify 2x/8
2x/8=x/4
(3x+1)/14=x/4
find least common multiple of 14 and 4
factors of 14=2 and 7
factors of 4 are 2 and 2 so LCM=2 times 2 times 7=28
multiply both sides by 28
(2)(3x+1)=7x
distribute
6x+2=7x
subtract 6x from both sides
2=x
