<h3>
Answer: 14 feet</h3>
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Explanation:
Check out the diagrams below.
We'll start with the left diagram (marked "before") which is a right triangle with the horizontal leg of 25 feet and hypotenuse 65 feet.
Use the pythagorean theorem to find the vertical side x.
a^2 + b^2 = c^2
25^2 + x^2 = 65^2
625 + x^2 = 4225
x^2 = 4225 - 625
x^2 = 3600
x = sqrt(3600)
x = 60
The top of the ladder is 60 feet high when placed against the wall in this configuration.
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If the upper end is moved down 8 feet, then x-8 = 60-8 = 52 feet is the new height of the ladder. Refer to the "after" in the diagram below.
Like earlier, we'll use the pythagorean theorem to find the missing side.
a^2 + b^2 = c^2
y^2 + 52^2 = 65^2
y^2 + 2704 = 4225
y^2 = 4225 - 2704
y^2 = 1521
y = sqrt(1521)
y = 39
The horizontal distance from the ladder base to the wall is now 39 feet.
Earlier it was 25 feet, so it has increased by 39-25 = 14 feet.
30:11
432/30 = 14.4
11 * 14.4 = 158.4
If it holds true for the entire school, 158 kids are home with the flu.
Answer:
8
Step-by-step explanation:
first, 70-79 have 3 students
then 80-89 have 5 students
Answer:
3700 m.
Step-by-step explanation:
3.7km= 3.7* 1000
3.7 km = 3700 m
Answer:
50 degrees
Step-by-step explanation:
You can see that angle ADC is composed of angle ADB and angle BDC
Angle ADB is 38 degrees and angle BDC is 12 degrees
Therefore angle ADC is 50 degrees
Angle ADC is opposite from angle ABC so they are congruent.
So angle ABC is 50 degrees