Answer:
40 minutes
Step-by-step explanation:
The least common multiple of 8 minutes and 10 minutes is ...
LCM(8, 10) = 8·10/GCD(8, 10) = 80/2 = 40
The red and blue trains will arrive together again in 40 minutes.
Answer:
$10.5
Step-by-step explanation:
Given data
P=$150
T= 1year
R= 7%
The simple interest formula will give the accurate amount at the end of each year
A=P(1+rt)
A=150(1+0.07*1)
A=150*1.07
A=$160.5
The withdrawal = 160.5-150= $10.5
Hence the withdrawal will be $10.5
Answer:
-4/1 or -4
Step-by-step explanation:
A reciprocal is found by switching the numerator and denominator. So if we ignored the negative sign and found the reciprocal of 1/4, it is 4/1. Now, if you add the negative sign, you get -4/1. If you simplify, you get -4. I'm not really too sure on my answer so you can ask more than one person. I hope you get the help you need!
x = 9.21° or x = 22.5°
cot²2x – 4cot2x + 3 = 0
Let cot2x = y
y² - 4y + 3 = 0
Factorizing, we have
y² - y - 3y + 3 = 0
y(y - 1) -3(y - 1) = 0
(y - 1)(y - 3) = 0
y - 1 = 0 or y - 3 = 0
y = 1 or y = 3
Since cot2x = y
cot2x = 1 or cot2x = 3
1/tan2x = 1 or 1/tan2x = 3
tan2x = 1 or tan2x = 1/3
2x = tan⁻¹(1) or 2x = tan⁻¹(1/3)
2x = 45° or 2x = 18.43°
x = 45°/2 or x = 18.43°/2
x = 22.5° or x = 9.21°
So, x = 9.21° or x = 22.5°
Learn more about cotx here:
brainly.com/question/15546709
