Answer:
x = 60°
Step-by-step explanation:
The circle is 360°, thus
2y + y = 360
3y = 360 ( divide both sides by 3 )
y = 120°
The tangent- secant angle ABT is one half the measure of the intercepted arc AB, thus
x = 0.5 × 120° = 60°
Answer: it would be worth $11925 when it matures after 7 years.
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount invested in the CD.
R represents interest rate on the amount invested in the CD.
T represents the duration of the investment in years.
From the information given,
P = $10,000
R = 2.75%
T = 7 years
I = (10000 × 2.75 × 7)/100
I = $1925
Therefore, the worth of the CD in total at the end of 7 years when the CD matures is
10000 + 1925 = $11925
Answer: Use the distributive property to multiply 3 by y−4.
3y−12−2(y−4)
Use the distributive property to multiply −2 by y−4.
3y−12−2y+8
Combine 3y and −2y to get y.
y−12+8
Add −12 and 8 to get −4.
Anwser:
y−4
Step-by-step explanation:
Hope this helps!
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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Gary swam the fewest laps.
Hope this helps!
