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
Answer:
7 months
Step-by-step explanation:
We can write the equation 25x+10=185 where 25 represents the cost per month, x represents the number of months, 10 represents the sign-up fee and 185 represents the total cost.
To isolate the variable, first subtract 10 from both sides of the equation.
This new equation should look like: 25x=175
The next step in isolating the variable is to divide both sides of the equation by 25.
Doing this, you should be left with the final equation x=7 which is your answer.
Answer:
The flag pole is 28 feet
building is 168 feet
Step-by-step explanation:
building+flagpole= 196 feet
(use algebra)
let the flagpole be a
building will be 6a
<h2>
so 6a+a= 196</h2>
7a= 196 = 28
it means the flag pole is 28feet
28×6 is the building= 168 feet
Answer:
56
Step-by-step explanation:
