4. An airplane is traveling at a speed of 724 km/hr at a direction of 30 degrees. The wind is blowing from the west at 32 km/hr.
1 answer:
Answer:
The true course is 28.8 degrees above the east direction.
Step-by-step explanation:
Given:
Direction = 30 degrees
Speed = 724 km/hr
Let x1, y1 represent the velocities in the east direction at a 30-degree angle
therefore, x1 velocity = 724 cos 30 degrees
y1 velocity = 724 sin 30 degrees
According to the problem, the wind speed enhances the x1 velocity by 32.
Thus, the resultant speed becomes
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Answer:
The constant pay of $25 signifies the intercept
Step-by-step explanation:
To address this query, we first need to comprehend and relate it to the formula for a straight line.
i.e this represents the line's equation
where m= slope
y= dependent variable
x= independent variable
c= intercept
Given
by comparing the two expressions, we can observe that
25 is equivalent to c, which denotes the intercept
Answer:
The correct answer is (A) $304.47.
Step-by-step explanation:
The formula for calculating the future value (FV) of an amount (A), compounded daily at an interest rate of r%, over a period of n years is:
The provided information is:
A = $300
r% = 1.48%
n = 1 year
Calculate the future value as shown:
Thus, the balance at the end of 1 year totals $304.47.
The correct choice is (A).
Answer:
a. Alice
b. Briana
c. 0.51 minutes
Step-by-step explanation:
a. Alice's formula is applicable for any t > 0 minutes, while Briana’s is only applicable when
2t - 1 > 0
2t > 1
t > 1/2 minutes
b. They complete the race when their total distance equals 5 kilometers. For Alice:
t/4 = 5
t = 20 minutes
For Briana:
√(2t - 1) = 5
2t - 1 = 25
2t = 26
t = 13 minutes
c. They reach the same point when they have traveled the same distance, expressed as:
t/4 = √(2t - 1)
(t/4)² = 2t - 1
t²/16 = 2t - 1
t² = 16(2t - 1)
t² = 32t - 16
t² - 32t + 16 = 0
Using the quadratic formula:
Only the second solution fits this scenario because the race concluded before they took 31.49 minutes.