Answer:
it's either a or b, but I would go with A
Answer:
19.1 miles
Step-by-step explanation:
The situation given represents a right triangle.
Thus, we would use trigonometric function to find how far north the boat travelled.
Let's represent how far the boat travelled north with "x".
Thus:
Reference angle = 23°
Opposite = x
Adjacent = 45 miles
Apply TOA:
Tan 23° = Opp/Adj
Tan 23° = x/45
Multiply both sides by 45
45 × Tan 23° = x
x = 45 × Tan 23°
x = 19.1013667
x = 19.1 miles (nearest tenth of a mile)
Answer:
1.92%
Step-by-step explanation:
The probability for first case, picking a queen out of deck, will be:
as there will be 4 queens in a deck, one of each suit.
For the second pick, the probability of picking a diamond card, will be:
here the total will remain 52 as he has replaced the first card and not kept it aside and there will be 13 cards in diamond suit (including the three face cards).
Thus the net probability for both cases will be:
Thus total probability for the combined two cases will be 1.92%
Answer:
After 7.5 years we will have enough money in the account to purchase the car.
Step-by-step explanation:
Amount needed to be saved = $10000
Principal = $6500
So, Simple Interest = $3500
Rate of Interest = 7.5%
= 0.075
Now, Simple Interest = Principal × Rate × Time
⇒ 3500 = 6500 × 0.075 × Time
⇒ 3500 = 487.5 × Time
⇒ Time = 7.18 years ≈ 7.5 years
Hence, after 7.5 years we will have enough money in the account to purchase the car.
Step-by-step explanation:
