Answer:
Explanation:
<u>1. Calculate the average speed of train B</u>
- 60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph
<u>2. Build a table</u>
When the two trains meet:
Train Average speed Distance time (distance/average speed)
mph
A 60 x x/60
B 80 240 - x (240 - x) / 80
<u>3. Write the equation</u>
The time, when the two trains meet, is the same for both trains:
<u>4. Calculate the time:</u>
- x/60 = 102.86 / 60 = 1.7 hours
The two trains will meet after 1.7 hours
Answer: 23 degrees
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Explanation:
Using the inscribed angle theorem we can connect the central angle ABC and the inscribed angle ADC. The reason why is because they both cut off the minor arc AC
Angle ABC is given to be 46 degrees, the formula we use is shown below
central angle = 2*(inscribed angle)
angle ABC = 2*(angle ADC)
46 = 2*(angle ADC)
46/2 = 2*(angle ADC)/2 ... divide both sides by 2
23 = angle ADC
angle ADC = 23 degrees
Answer:
Step-by-step explanation:
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Answer:
25 students.
Step-by-step explanation:
A line plot is a simple graph that shows relationship among the values in a data using a number line.
From the line plot, each dot represents a student. While the number on the line shows the number of blocks walk each day by each student.
It can be deduced from the line plot that;
Only 1 student walks through 7 blocks, 2 walk through 5 blocks, 8 walk 4 blocks, 5 walk 3 blocks, 5 walk 2 blocks and 4 walk through 1 block to school each day.
So that;
1 + 2 + 8 + 5 + 5 + 4 = 25
Therefore, the number of students who took part in the survey is 25.
Here is your answer: Combine like terms: 4a+2a=6a and 8b-6b=2b Your answer is 6a+2b
