Answer:
02:3 and 12:18
Step-by-step explanation:
A proportion is formed when the larger ratio can be simplified to equal the smaller ratio:
#1
02:3 and 4:12
Reducing the larger ratio: 4:12=1:3
Hence, not a proportion.
#2
02:3 and 6:12
Reducing the larger ratio: 6:12=1:2
Hence, not a proportion.
#3
02:3 and 12:18
Reducing the larger ratio: 12:18=2:3
Hence, they form a proportion.
#4
02:3 and 12:18
Reducing the larger ratio: 12:36=1:3
Hence, not a proportion.
Answer:
80
Step-by-step explanation:
I hope this will help. I was really calculating maybe keep on trying on A peice of paper.:)
Answer:
Therefore,
The length of the path traced by the outer tip of the minute hand in one hour, is 88 inches.
Step-by-step explanation:
Given:
The length of the minute hand of a clock is,
Which is as Radius,
Therefore,
Radius = r = length of the minute hand = 14\ inches
pi = 22/7
To Find:
The length of the path traced by the outer tip of the minute hand in one hour, will be One full rotation, that is
Circumference, C = ?
Solution:
Circumference, is given by,


Therefore,
The length of the path traced by the outer tip of the minute hand in one hour, is 88 inches.
Answer:
(a) A = 700×1.015^t
(b) 36.2 years
Step-by-step explanation:
(a) Each year, the account value is multiplied by (1 + 1.5%) = 1.015. Repeated multiplication is signified using an exponent. In t years, when the account has been multiplied by 1.015 t times, the account value will be ...
A = $700×1.015^t
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(b) You want to find t when A=$1200. Logarithms are involved.
1200 = 700×1.015^t . . . . use 1200 for A
1200/700 = 1.015^t . . . . . divide by 700
log(12/7) = t×log(1.015) . . . . . take logarithms
log(12/7)/log(1.015) = t ≈ 36.2 . . . . divide by the coefficient of t
It will take about 36.2 years for the account balance to reach $1200.