Answer:
The book has 10 pages.
Step-by-step explanation:
Let b represent the number of pages in the entire book.
Alan has read 40% but has 60% left to read.
60% of b is 6 pages (given).
Thus, b = 6/0.60 = 10
The book has 10 pages.
Factors of the given expression by splitting middle term of expression
will be 
.
Given expression is
<h3>What is a factor?</h3>
A factor is a number that divides another number leaving no remainder
After we split 42x into 21x each,
The expression looks like,
Taking 3x+7 as common
So factors will be (3x+7) and (3x+7).
Therefore,
Factors of the given expression will be .
to get more about factors refer to:
brainly.com/question/25829061
I assume you're just solving for x. Factorize the left side as
3 sin²(x) - 3 sin⁴(x) = 3 sin²(x) (1 - sin²(x)) = 0
Recall that
sin²(x) + cos²(x) = 1
so that the equation further reduces to
3 sin²(x) cos²(x) = 0
Also recall the double angle identity,
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
3/2² (2 sin(x) cos(x))² = 3/4 sin²(2x) = 0
Solve for x :
3/4 sin²(2x) = 0
sin²(2x) = 0
sin(2x) = 0
2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ
(where n is any integer)
2x = 2nπ or 2x = (2n + 1) π
x = nπ or x = (2n + 1)/2 π
Notice that this means the solution set is
{…, -2π, -3π/2, -π, -π/2, 0, π/2, π, 3π/2, 3π, …}
so we can condense the solution further to
x = nπ/2
with any integer n.
Good morning ☕️
Answer:
33.333333333333 %
Step-by-step explanation:
then the number of hours of the dark period is 24 - 16 = 8
hence
The percentage of the day was dark :
(8÷24)×100 = 33.333333333333
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:)
