Mathema
1 answer:
9514 1404 393
Answer:
(3) 12
Step-by-step explanation:
Let x represent the length of leg XY. Then the length of YZ is x/2 and the area of the right triangle is ...
A = 1/2bh
A = 1/2(x)(x/2) = x²/4
36 = x²/4 . . . . . use the given value for area
144 = x² . . . . . . multiply by 4
√144 = 12 = x . . . . . take the square root
The length of leg XY is 12 cm.
You might be interested in
Answer:
- <u>Hannah was not speeding because her speed was about 61 mph, which is below the speed limit.</u>
Explanation:
Just to correct some typos, this is the complete question:
<em />
<em>The equation d=0.05v² + 1.1v models the distance, d, that it takes a car traveling at a speed of v miles per hour to come to a complete stop. If Hannah’s car stopped after travelling 250 feet on a highway with a speed limit of 65 mph, was Hannah speeding? Explain using math whether she was speeding and how you know.</em>
<em />
<h2>Solution</h2><em />
To find whether Hannah was speeding, you must find the velocity that is solution for the equation:
- 250=0.05v² + 1.1v
<em />
Write it in standard form:
- 0.05v² + 1.1v - 250 = 0
Use the quadratic formula:
The speed can only be positive; thus, it is about 61 miles per hour, which is below the speed limit of 65mph.
In conclusion, she was not speeding.