Question 1:
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Total points = 100
Total question = 40
Type of questions : 2-points question and 4-points questions
Assumed all 40 questions are 2-points questions.
Total points = 40 x 2 = 80
Difference in points = 100 - 80 = 20 points
Difference in the 2 type of questions = 4 - 2 = 2
Number of 4 marks questions = 20 ÷ 2 = 10
Number of 2 marks questions = 40 - 10 = 30
Answer: There are 10 4-marks questions and 30 2-marks questions.
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Question 2:
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Let x be the number of offices you need to clean.
Total cost = 315 + 4x
Total revenue = 25x
To break even,
315 + 4x = 25x
21x = 315
x = 15
Answer: You need to clean 15 offices to break even.
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Question 3:
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Total distance (including return trip) = 255 + 255 = 510 miles
Total time taken = 1.7 + 1.5 = 3.2 hours
Speed = Distance ÷ time
Speed = 510 ÷ 3.2 = 159.38 miles/hour
Answer: The average speed is 159.38 miles/hour
The difference in distance between Aero plane A and B is; 34.67 km
<h3>How to calculate bearing?</h3>
To get the bearing;
∠H = (115 - 90) + (270 - 203)
∠H = 92°
Then, we will use cosine rule to get the distance between both Planes A and B.
d_ab = √(18² + 29² - 2(18 * 29) * cos 92)
d_ab = √(324 + 841 + 36.435)
d_ab = 34.67 km
Read more about bearing at; brainly.com/question/22518031
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Answer:
640 yard²
Step-by-step explanation:
From the question,
The surface are of a triangular prism is given as
A = bh+2ls+lb.................. Equation 1
Where A = Surface area of the triangular prism, b = base of of the triangular face, h = height of the triangular face, l = length of the triangular prism, s = length of one of the other sides of the triangle
Given: l = 17 yards, b = 12 yards, h = 8 yards, s = 10 yards.
Substitute these values into equation 1
A = [(12×8)+(2×17×10)+(17×12)]
A = 96+340+204
A = 640 Yard²
Answer:
I believe its B, sorry if im wrong
Step-by-step explanation:
By exterior angle of triangle:
17x+4+8x+1=80
x=3
