Answer:
6/16
Step-by-step explanation:
To get 16ths multiply both the top and bottom by 2
3*2=6
8*2=16
6/16ths =0.375
3/8ths=0.375
Answer:
The surface area of the cone is 126π cm².
Step-by-step explanation:
The surface area of a cone can be found using this formula:
- where r = radius and l = slant height
In this problem, we are told that the cone has a radius of 9 cm and a slant height of 5 cm.
Substitute these values into the formula for the surface area of a cone.
The surface area of the right cone is 126 π cm².
The answer would be A because 3.90 x 3.5 is equal to 13.65
I drew it pictorially but think of it as 5 sandwiches divided by 3 sisters. Therefore it’s 5/3
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
