Problem 10
<h3>Answer: approximately 57.39159 km</h3>
Explanation: You'll use the equation cos(28) = d/65 to solve for d to get d = 65*cos(28) = 57.39159 approximately. We use the cosine ratio because it ties together the adjacent and hypotenuse.
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Problem 11
<h3>Answer: approximately 10.46162 meters </h3>
Explanation: This time we use the sine rule. We have the height as the opposite side (which is unknown, call it x) and the hypotenuse is the ladders length (11). So we have sin(72) = x/11 which solves to x = 11*sin(72) = 10.46162
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Problem 12
<h3>Answer: approximately 16.05724 cm</h3>
Explanation: Now we use the tangent rule to connect the opposite and adjacent sides.
tan(37) = 12.1/x
x*tan(37) = 12.1
x = 12.1/tan(37)
x = 16.05724 approximately
Answer:
Usually people don't give step by step explanations but you could explain how you solved it for example
x=5
Step-by-step explanation:
and then show how you solved the equation "2x=10"
Step-by-step explanation:
A(x) = x² + 10x -75
= (x + 15)(x - 5)
Answer:
X= 7 I hope this helped!
<u>Steps for equation/answer :</u>
1.Divide both sides by 3.
4x+9= 111/3
2.Simplify 111/3 to 37.
4x+9=37
3.Subtract 9 from both sides.
4x=37−9
4. Simplify 37-9 to 28.
4x=28
5. Divide both sides by 4.
x = 28/4
6. Simplify 28/4 to 7
x=7
1) Johnson's profit is
... net profit = selling price - costs = $155 - 35.00 - 39.17 - 36.43 = $44.40
His net earnings per hour are then
... earnings/hours = $44.40 / (4.5 h) = $9.87/h
2) net profit = selling price - overhead - cost
... net profit = selling price - 0.45 × selling price - cost . . . . substitute for overhead
... net profit = 0.55 × selling price - cost
Given that overhead = 0.45 × selling price, we can find selling price by dividing by 0.45:
... selling price = overhead/0.45
Using this in the profit equation, we have
... net profit = 0.55×(overhead/0.45) - cost
... = (0.55/0.45) × $65.34 - 49.32 . . . . . . substitute given numbers
... net profit = $30.54