Answer: Choice A) 4/5
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Work Shown:
cos^2(theta) + sin^2(theta) = 1
(-3/5)^2 + sin^2(theta) = 1
9/25 + sin^2(theta) = 1
9/25 + sin^2(theta) - 9/25 = 1 - 9/25
sin^2(theta) = 1 - 9/25
sin^2(theta) = 25/25 - 9/25
sin^2(theta) = (25 - 9)/25
sin^2(theta) = 16/25
sqrt[sin^2(theta)] = sqrt[16/25]
sin(theta) = 4/5
The fact that sine is positive in quadrant 2 means that the result is positive.
Answer:
Kristi
Step-by-step explanation:
The formula for Simple Interest =
Principal × Rate × Time
For Kristi
Kristi invests $3,000 at a 7.25% annual simple interest rate,
Principal = $3000
Rate = 7.25% = 0.0725
Time = 1
Simple interest = $3000 × 0.0725 × 1
= $217.5
For Kari
Her sister Kari invests $3,200 at a 6.25% annual simple interest rate.
Principal = $3200
Rate = 6.25% = 0.0625
Time = 1
Simple interest = $3200 × 0.0625 × 1
= $200
From the above calculation, we can see that: Kristi will earn the greater amount of interest after one year
Answer:
Step-by-step explanation:
Answer:
Scully will catch up with Mulder by 7:30 PM.
Step-by-step explanation:
Consider the provided information.
Mulder leaves the office at 9:30a.m. averaging 57mph.
Scully leaves at 10:00a.m., following the same path and averaging 60 mph.
Distance covered by Mulder between 9:30 AM and 10:00 AM:
miles
Let t is the time taken by Scully to catch up with Mulder.
After leaving office Scully needs to cover extra distance of 28.5 miles because Mulder leaves the office earlier.
Therefore total distance cover by them is:
Hence, it would take 9 hours 30 minutes to catch up Mulder.
10 am + 9 hours 30 minutes = 7:30 pm
Therefore, Scully will catch up with Mulder by 7:30 PM.
