I'll do the first three questions to get you started.
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Question 1
x = horizontal component of the triangle
cos(angle) = adjacent/hypotenuse
cos(theta) = horizontal/hypotenuse
cos(40) = x/30
x = 30*cos(40)
x = 22.98133329 approximately
This is the horizontal force applies to the suitcase.
Work = force*displacement
Work = 22.98133329*120
Work = 2,757.7599948
Work = 2,758
<h3>Answer:
2,758 Nm (choice B)</h3>
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Question 2
Add the drone's relative air velocity and the wind velocity vectors.
v+w = (13i + 3j) + (-7i - 2j)
v+w = (13i-7i) + (3j-2j)
v+w = 6i + j
<h3>Answer: 6i + j (choice B)</h3>
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Question 3
Check out the diagram below. Focus on the smaller triangle. Notice the placement of angle theta.
sin(theta) = opposite/hypotenuse
sin(40) = x/200
x = 200*sin(40)
x = 128.557521937308
x = 128.558
<h3>Answer: 128.558 pounds (choice A)</h3>
So here, we are starting with two numbers: the original price, and the price after the percent increase.
First, we need to find the differences between the prices to figure out how much of a difference the percent made. $181.09 - $102.30 = $78.79
$78.79 is how much money the original price was increased by. We can find the percent change using this, since this number is what percent of the original price went up.
So now: $78.78 / $102.30 = .77018
And now, we convert that to percent: 77%
The markup was 77%.
Answer:
Yes
Step-by-step explanation:
13 + 5 > 16
16 - 3 < 5
Yes :D
So we need to isolate the variable. In order to do that, we need to multiply both sides by 5/4.
Why? That's so that 4/5z will be canceled out when multiplied by 5/4 to get just z.
And so, we would get 20 as our answer.