Part A
Her steps were
Kelsey made a mistake on line 3. Note how the 17/6 flips to 6/17. This is not correct. You keep the first fraction the same, but you do flip the second fraction. This only applies when you divide two fractions.
The third step should look like
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Part B
Here's what she should have written
If you want to convert that improper fraction to a mixed number, then you could do something like this
Or you could divide 17 over 8 using long division to get 2 remainder 1. The 2 is the quotient that goes to the left of the 1/8. The remainder of 1 is the numerator of 1/8.
Answer:
1 = 75
2 = 56
3 = 124
4 = 41
Step-by-step explanation:
Use Pythagorean Theorem
c2 = a2 + b2
152 = a2 + 12
a2 = 152 - 122
=225 - 144 = 81
a = 9 ft
Distance from base of antenna = 9ft
Answer: The ladder would reach 8.9 meters up the building
Step-by-step explanation: Please refer to the attached diagram.
The ladder is placed on a wall, which is represented by line AB. It's distance from the base of the building is represented by line CB. To calculate how high up the ladder would reach on the building, we would need to calculate the value of line AC, which has been labelled as b.
What we have as shown in the diagram is a right angled triangle with the Hypotenuse given as 9 and one of the other two sides is given as 1.
We shall apply the Pythagoras theorem which states that
AB² = AC² + CB²
Where AB is the hypotenuse and AC and CB are the two other sides.
9² = b² + 1²
81 = b² + 1
Subtract 1 from both sides of the equation
80 = b²
Add the square root sign to both sides of the equation
√80 = b
8.9443 = b
Approximately, b = 8.9 meters
Therefore the ladder would reach up to 8.9 meters on the building