One of the product rules for exponents was used.
Or, you can consider that the definition of an exponent and the associative and commutative properties of multiplication were used.
1/sin^2x-1/tan^2x=
1/sin^2x-1/ (sin^2x/cos^2x)<<sin tan= sin/cos>>
= 1/sin^2x- cos^2x / sin^2x
= (1- cos^2x) / sin^2x <<combining into a single fraction>>
sin^2 x / sin^2x <<since 1- cos^2 x sin^2 x
=1
this simplifies to 1.
The fraction of a circle represented by the shaded region is:
S '/ S = ((8/5) * pi * r) / (2 * pi * r)
Rewriting we have:
S '/ S = ((8/5)) / (2)
S '/ S = 8/10
S '/ S = 4/5
Then, we can make the following rule of three:
(64/5) pi -------> 4/5
x ----------------> 1
Clearing x we have:
x = ((1) / (4/5)) * ((64/5) pi)
Rewriting:
x = (5/4) * ((64/5) pi)
x = (5/4) * ((64/5) pi)
x = 50.24
Answer:
The area of the complete circle is:
x = 50.24
Answer:
2(x-1)=2x-2
Step-by-step explanation:
distribute the 2 into (x-1) so you get 2x-2 which is equal to 2x-2
8(10-K) = 2k
mutiply the bracket by 8
(8)(10)= 80
(8)(-k)= -8k
80-8k= 2k
move -8k to the other side
sign changes from -8k to +8k
80-8k+8k= 2k+8k
80= 2k+8k
80= 10k
divide by 10 for both sides
80/10= 10k/10
k= 8
Answer: k= 8
