The critical points of a function are the values of x, for which the function is equal to zero.
Given the inequality
A rational function is said to be equal to zero when the numerator is equal to zero.
Thus
Therefore, the critical point of the inequality is x = -2 and x = 2.
Answer:
- 5.8206 cm
- 10.528 cm
- 23.056 cm^2
Step-by-step explanation:
(a) The Law of Sines can be used to find BD.
BD/sin(48°) = BD/sin(50°)
BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm
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(b) We can use the Law of Cosines to find AD.
AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°
AD^2 ≈ 110.841
AD ≈ √110.841 ≈ 10.5281 . . . cm
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(c) The area of ∆ABD can be found using the formula ...
A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°
A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2
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Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
Total area of square inches = 400
The area of the large circle = 314
Now, we need to find the probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square,
Let E be the event the Trisha will get points .
so,
As we know that
So, Probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square = 0.22
So, First option is correct.
Answer: i'd rather stay single. none of yall loyal like you say. i only chase the bag.
Step-by-step explanation:
To calculate the remaining number of teams, use the sequence formula:
a(n) = a(1)Rⁿ-¹
Where a(n) and a(1) are the nth and first terms. R is the factor. Therefore, 24 teams is valid value.
After 5 rounds :
a(5) = 128*(½)⁴
a(5) = 128/16 = 8
8 teams are remained.