Let's draw a perpendicular GI from the point G on FJ.
So, GI = HJ = 24 ft
And IJ = GH = 24 ft
Let's assume FI = x.
Now we can use right triangle FIG to find the length of x.
By using Pythagorean formula we can set up an equation as following:
x² + 24² = 30²
x² + 576 = 900
x² = 900 - 576 Subtract 576 from each sides.
x² = 324
x = 18
Now FJ = FI + IJ
= 18 + 24
= 42
So, length of line segment FJ is 42 feet.
Hope this helps you!
Answer:
Area
Step-by-step explanation:
Hello!
To solve this, first say x = number of hours grading.
We can set up fractions to represent how much each one of them can grade in one hour. To do this, divide the number of essays by the number of hours it would take for them to grade them. Therefore, the professor would be able to grade 5/2 essays in one hour, and her assistant would be able to grade 7/3 essays in one hour.
Now, set up your equation.
5/2x + 7/3x = 40
Since x = number of hours spent grading, multiply that by the respective fractions we calculated earlier to get the number of essays they would grade in x hours. Set the equation equal to 40 as you are looking for 40 essays done.
Now, solve the equation. First, set a common denominator, add the two fractions together, then simplify.
5/2x + 7/3x = 40
15/6x + 14/6x = 40
29/6x = 40
x = 40/(29/6)
x = 40 * (6/29)
x = 240/29
x = about 8.3
Therefore, your answer is about 8.3 hours, or about 8 - 9 hours.
Hope this helps!
The answer is 48 because when you split it in half you get 48