Answer:
x = (-5 ± 2√10) / 3
Step-by-step explanation:
5 − 10x − 3x² = 0
Write in standard form:
-3x² − 10x + 5 = 0
Solve with quadratic formula:
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ -(-10) ± √((-10)² − 4(-3)(5)) ] / 2(-3)
x = [ 10 ± √(100 + 60) ] / -6
x = (10 ± 4√10) / -6
x = (-5 ± 2√10) / 3
Answer:
46 terms
Step-by-step explanation:
a₁=b, a₂₁= bₙ, d₁=9, d₂=4
n=?
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a₂₁= a₁+20d₁= a₁+20*9= a₁+180
bₙ= b₁+(n-1)d₂= a₁+4(n-1)
a₁+4(n-1)=a₁+180
4(n-1)=180
n-1= 180/4
n-1= 45
n=46
Answer:
Step-by-step explanation:
From the previous answers you know the angles and side lengths of the triangle:
α = 60°
Ф = 30°
and the side lengths:
1,2 and √3.
Remember:
sin = opposite / hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent
Now you can read off from the triangle:
sin 30° = 1/2
cos 60° = 1/2
sin 60° = √3/2
cos 30° = √3/2
tan 30° = 1/√3
tan 60° = √3
Answer:
ithink it should be c
Step-by-step explanation:
