Answer: the volume is: 280.8
Step-by-step explanation:
volume= length x width x height
Answer:
cos 2Ф = - 161/289 , tan 2Ф = - 240/161
Step-by-step explanation:
* Lets explain how to solve the problem
∵ cos Ф = - 8/17
∵ Ф lies in the 3rd quadrant
- In the 3rd quadrant sin and cos are negative values, but tan is
a positive value
∵ sin²Ф + cos²Ф = 1
∴ sin²Ф + (-8/17)² = 1
∴ sin²Ф + 64/289 = 1
- Subtract 64/289 from both sides
∴ sin²Ф = 225/289 ⇒ take √ for both sides
∴ sin Ф = ± 15/17
∵ Ф lies in the 3rd quadrant
∴ sin Ф = -15/17
∵ cos 2Ф = 2cos²Ф - 1 ⇒ the rule of the double angle
∵ cos Ф = - 8/17
∴ cos 2Ф = 2(-8/17)² - 1 = (128/289) - 1 = - 161/289
* cos 2Ф = - 161/289
∵ tan 2Ф = sin 2Ф/cos 2Ф
∵ sin 2Ф = 2 sin Ф × cos Ф
∵ sin Ф = - 15/17 and cos Ф = - 8/17
∴ sin 2Ф = 2 × (-15/17) × (-8/17) = 240/289
∵ cos 2Ф = - 161/289
∴ tan 2Ф = (240/289)/(-161/289) = - 240/161
* tan 2Ф = - 240/161
I believe the correct option is C after I checked it over and over again...
Given :
A stack of 500 pieces of paper is 1.654 inches tall.
Mulan guesses that each piece of paper is 0.045 inches thick.
To Find :
The actual thickness of paper and how is Mulan's answer is incorrect.
Solution :
Let, actual thickness is t.
So,
So, actual thickness is 0.003308 inches.
Therefore, the Mulan's answer is incorrect.
Answer:103
Step-by-step explanation:DO exponent first which is 5 to the power of 2 .And 5 to the power of 2 equals to 25.Now following pemdas,do multiplcation first.So do 25 times 4 which gives you 100.Lastly add 3 to 100 which is 103.
