Answer:
48390,"37,520","65,810",2170 or 2180 (both will work)
Answer:
5 gallons per week
Step-by-step explanation:
He uses 1.25 gallons per 5 hrs
How many times does he use a full tank in a week?
20/5 =<u> 4 times</u>
To find the total amount of fuel used take 1.25 times 4
1.25 * 4 = 5 gallons
Answer:
x=136
Step-by-step explanation:
The sum of the angles inside a quadrilateral add to 360, so
79+55+110+x=360
Combine like terms
224+x=360
Subtract 224 from both sides
x=136
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:
The scale factor is 1/4
Step-by-step explanation:
18/72 = 10/40 = 11/44
simplify all of those and you get 1/4.
