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Answer:
- sin(θ) = (9√97)/97
- cos(θ) = (-4√97)/97
- csc(θ) = (√97)/9
- sec(θ) = (-√97)/4
- cot(θ) = -4/9
Step-by-step explanation:
The angle is in the 2nd quadrant, where the sine is positive and the cosine is negative.
tan^2(θ) +1 = sec^2(θ) = (-9/4)^2 +1 = 97/16 ⇒ sec = -(1/4)√97
cot(θ) = 1/tan(θ) = -4/9
csc^2(θ) = cot^2(θ) +1 = (-4/9)^2 +1 = 97/81 ⇒ csc = (1/9)√97
sin(θ) = 1/csc(θ) = (9√97)/97
cos(θ) = 1/sec(θ) = (-4√97)/97
Answer: 2
<u>Explanation:</u>
A pond had 60 fish but 10 were added so now the pond has 70 fish.
The probability of choosing a carp is 1/2 so = 35 are now carp.
There were 27 carp and now there are 35 carp so 8 carp were added.
10 fish were added and 8 of them were carp so 2 of them were tench.
Radius of cone is decreasing at the rate of inches
What is rate of change?
Suppose there is a function and there are two quantities. If one quantity of a function changes, the rate at which other quantity of the function changes is called rate of change of a function.
Here rate of change of radius of cone has been calculated
Radius of cone = 18 inches
Height of cone = 11 inches
Volume of cone (V) =
Radius of cone is decreasing at the rate of inches
To learn more about rate of change, refer to the link-
brainly.com/question/24313700
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Answer: Look below
Step-by-step explanation:
10% = $120.90
1% = $12.09
11% = $132.99
$1,209 + $132.99 = $1,341.99
She made a $132.99 profit or $1,341.99
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8% = 96.72
$1,341.99 - $96.72 = $1245.27
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Or if it is $96.72 off the price she bought it then it would be
$1,209 - $96.72 = $1,112.28
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