The path is the hypotenuse of a right triangle with legs 30 and 120.
30² + 120² = c²
900 + 14400 = c²
15300 = c²
c=√15300 ≈123.7'
instead of walking 30+120=150 feet they save 26.3 feet by taking the shortcut
Answer:
Ignore my answer
Step-by-step explanation:
I think it’s the last one
Answer:
The very first thing we want to do in this equation is to isolate x on one side (preferably the left side).
3/x - 4 = 1/5
We get rid of any constants first, by performing the inverse property;
The inverse property of subtraction is addition, so we add 4 to both sides:
+4 +4
3/x = 4 1/5
3 is being divided by x, so the inverse operation of division is multiplication. So we multiply by 1/3 on both sides.
x1/3 x1/3
X = 1 4/10 which simplifies to 1 2/5.
Answer:
- It has taken Jake about 40 minutes to finish his Spanish homework.
Step-by-step explanation:
<u>We know that:</u>
- Homework = 4 hours = Spanish + Math + Science + History
- Spanish = 4 hours x 1/6
- Math = 4 hours x 1/4
- Science = 4 hours x 1/4
- History = 4 hours x 1/3
<u>Work:</u>
- Spanish = 4 hours x 1/6
- => 2 hours x 1/3
- => 2/3 hour
- => 2/3 x 60 minutes
- => 40 minutes
Hence, it has taken Jake about 40 minutes to finish his Spanish homework.