Answer:
See explanation
Step-by-step explanation:
The average rainfall when you add all 10 years of rainfall up and divide by 10 is an average of 59.946 inches of rain each year. The equation for the data is y = -0.53x + 64.45, this means that the rainfall is getting less each year at a -0.53 inches of rain each year.
x = year (2004 would be 4, etc)
The answer is [ ∠A ≅ ∠A; A F/AB = AG/AC = 3 ]
Both triangles are the same just different sizes.
The length of A F is 9 units. The length of AB is 3 units.
To find the scale factor, just divide.
9 / 3 = 3
The length of AG is 6 units. The length of AC is 2 units.
To find the scale factor, just divide.
6 / 2 = 3
The only logical answer is B because the ratio's are written to where when you solve them, you get the scale factor 3.
Best of Luck!
The object compresses the spring up to 0.8577m.
<h3>What is Potential Energy?</h3>
Potential Energy is the energy possessed by an object at rest.
The object is falling from the rest and it is assumed that the friction on the ramp is zero and the air resistance is also considered to be zero so only the gravitational force acts and the total potential energy gets converted to Kinetic Energy.
The total amount of potential energy at the top of the ramp is given by
Ep=mgh
Ep=3 * 9.81 *5
Ep=147.15 Joules
This is equal to kinetic energy.
From the formula for elastic potential energy
The distance up to which the spring is compressed is determined
The force constant = 400N/m
147.15 =(1/2)k(x²)
294.3=(400)(x²)
0.73575=x²
x=0.8577 m
So, the object compresses the spring up to 0.8577m.
- When the object compresses the spring, the potential energy of the spring is converted into Kinetic Energy so it will push the object back again.
To know more about Potential Energy
brainly.com/question/24284560
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