Answer:
A
Step-by-step explanation:
A shows a counterclockwise 90° rotation, so it is the correct answer.
B shows a reflection.
C shows a translation.
Step-by-step explanation:
the formula to calculate number of terms in GP is : TN=a×r^n-1
Answer:
x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I
Step-by-step explanation:
1−2sin2 x≤−sin x ⇒ (2sin x+1)(sin x−1)≥0
sin x≤−1/2 or sin x≥1
−5π/6+2nπ≤x≤−π/6+2nπ or , n ϵ I x=(4n+1)π/2, n ϵ I⇒ -5π6+2nπ≤x≤-π6+2nπ or , n ϵ I x=4n+1π2, n ϵ I (as sin x = 1 is valid only)
In general⇒ In general x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I
Answer:
probability that she'll go with a striped jersey and green shorts = ¹/₉
Step-by-step explanation:
Probability = desired outcome ÷ total outcome
probability that she'll go with a striped jersey and green shorts = ¹/₃ x ¹/₃ = ¹/₉
Answer:
So, total gallons were made in all =9.31 gallons
Step-by-step explanation:
We are given
A scientist repeated an experiment three times, making 1.42, 3.81, and 4.08 gallons of a new product
so,
first experiment =1.42 gallons
Second experiment =3.81 gallons
Third experiment =4.08 gallons
now, we can find total gallons
total gallons = first experiment + second experiment + third experiment
total gallons =1.42 gallons + 3.81 gallons +4.08 gallons
total gallons =9.31 gallons