To evaluate cot θ given that sinθ=√6/5 we shall have:
sin θ=opposite/hypotenuse
hence
opposite=√6
hypotenuse=5
thus the adjacent will be found using the Pythagorean theorem
c²=a²+b²
plugging in the value we get:
5²=(√6)²+b²
b²=25-6
b²=19
b=√19
thus
adjacent=√19
but
cotθ=1/tanθ
tanθ=√6/√19
hence:
cotθ=√19/√6
Answer:
0.0048 or 0.48%
Step-by-step explanation:
Please see the attached files for details.
Answer:
1 2/3 = 1 8/12
Step-by-step explanation:
2/3 * 4/4 because 3*4= 12 is 8/12 hope this helps :)
Answer: 3.7 in.
Step-by-step explanation:
Given, A toy designer is creating a basketball plushy. The designer has fabric that measures 171.9 sq. in.
To find: The maximum radius of the basketball that the designer can create.
For this, Surface area of basketball = area of fabric
Formula: Surface area of sphere =
, where r is the radius.
Then, 

Hence, the maximum radius of the basketball that the designer can create is 3.7 in.