The speed of the plane after it encounters the wind is C.285mph
<h3>How to calculate the speed of the plane when it encounters the wind?</h3>
Since the plane takes off from an airport on a bearing of 270° and travels at a speed of 320 mph it's velocity is v = (320cos270°)i + (320sin270°)j
= (320 × 0)i + (320 × -1)j
= 0i - 320j
= - 320j mph
Also, the plane encounters a 35 mph wind blowing directly north. The velocity of the wind is v' = 35j mph
So, the velocity of the plane after it encounters the wind is the resultant velocity, V = v + v'
= -320j mph + 35j mph
= -285j mph
So, the speed of the plane after it encounters the wind is the magnitude of V = |-285j| mph
= 285 mph
So, the speed of the plane after it encounters the wind is C.285mph
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The probability that she makes an A in neither is 0.10
Answer:
8.090169944 or rounded 8.1
Step-by-step explanation:
Use SOH CAH TOA
Look at x and where it is and what you have.
First thing is to get an angle to use, 36, then to set up your equation.
___(36)=___
Figure out what you have.
You have the hypotonouse, 10, and need the adjacent,x, so you use the equation that involves H for hypotonouse and A for adjacent.
You set up your equation using COS, as you are using CAH.
Cos(36)=x/10
X is over ten sure to CAH C-cos A-adjacent and H-hypotonouse
Switch it around to make it equal to x
10*Cos(36)=x
You input it into your calculator. [10] [COS] [36] [ENTER] and you get the answer.
Round however is needed.
Hope this helps solve your question
Hello and Good Morning/Afternoon:
<u>Let's take this problem step-by-step</u>:
<u>Let's consider the information given</u>:
- rental price: $30 + $0.30/mile
- total bill for Ken: $55.20
<u>Let's setup an equation for the cost</u>
- set 'x' as number of miles traveled
- set that equal to the total cost or bill and solve
Ken must have traveled 84 miles
<u>Answer: 84 miles</u>
<u></u>
Hope that helps!
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