13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0
Recall the double angle identity,
sin^2(x) = (1 - cos(2x))/2
If we let x = 13pi/12, then
sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]
where we took the negative square root because we expect a negative value.
Now, because cosine has a period of 2pi, we have
cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2
Then
sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]
sin(13pi/12) = - sqrt[2 - sqrt[3]]/2
Answer:
Graph A: two distinct roots. Graph B: one repeated real root. Graph C: two complex roots. Graph D: two distinct real roots.
Step-by-step explanation:
Explanation:
Each graph represents a quadratic function. So by the fundamental theorem of algebra, we know that each graph will have two roots.
Graph A crosses the x-axis twice. So, graph A has two distinct real roots.
Graph B touches the x-axis once. A quadratic cannot have one real root and one complex root. So it must have one repeated real root.
Graph C doesn’t cross the x-axis. This means it must have two complex roots.
Graph D crosses the x-axis twice. So, graph D has two distinct real roots.
112
suplementry angle add to 180 so 180_68=112
Answer:
D. 153.9 centimes squared
Step-by-step explanation:
7 times 7=49 multiplied by 3.14= 153.9
Answer:
She would pay $2.80 in sales tax.
Step-by-step explanation:
This question can be solved by proportions, using a rule of three.
Megan paid $2.52 in sales tax on an item that cost $36.00 before tax. How much in taxes for $40.00 before taxes?
$2.52 - $36.00
x - $40.00
Applying cross multiplication
She would pay $2.80 in sales tax.
