X equaks 105 becaus complementary= 180.
180-63=12+x
117-12=x
105=x
Get the distance between two acres.
2.5 - 2.4 = 0.1
Divide the diffence by 2
0.1 / 2 = 0.05 - Halfway between them.
Therefore, 0.05 must be taken from 2.5 acres. it must be added to 2.4 acres to get the exact area of the park.
2.5 - 0.05 = 2.45
2.4 + 0.04 = 2.45 acres
OR
Simply get the average of the two to get the area since it is exactly halfway between the two acres of land.
2.5 + 2.4 = 2.9 / 2 = 2.45 acres
The linear velocity of the Ferris wheel in inches per second is 18.9 inches/second.
<h3>What is the speed of an object?</h3>
The speed of an object is the ratio of the total distance covered by the object and the total time taken by the object to complete that distance.
Here, the radius of the Ferris wheel is (r) = 30 feet.
The circumference of the wheel is
C= 2πr
C= 2 × π × 30 feet
C= 60π feet
Here, the Ferris wheel completes 7 revolutions.
Therefore, it covers the linear distance of
D= 7 × circumference of the wheel
D= 7 × 60π feet
D= 420π feet
Now, the Ferris wheel took 14 minutes to complete 420π feet.
Therefore, the speed of the wheel is
S= (420π/14) feet/minute
S= 30π feet/minute
S= (30π × 12)/60 inches/second
S= 6π inches/second
S= 18.9 inches/second
Therefore the linear velocity of the object will be 18.9 inches/second
Learn more about the speed of an object here: brainly.com/question/16123156
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Answer:
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Step-by-step explanation:
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1. The solution for the equation is -16t² + 64t > 0
2. The interval notation for the equation is (0, 4)
Given,
The height of the building = 400 feet
A ball is thrown straight up from the top of the building.
The initial velocity of the ball = 64 feet/second
The height of the object is modeled by, s(t) = -16t² + 64t + 400
1. Solution for the equation:
s(t) > 400
So,
-16t² + 64t + 400 > 400
Add -400 to both sides
ie, -16t² + 64t + 400 - 400 > 400 - 400
We get,
-16t² + 64t > 0
2. Now find the interval notation for the equation:
-16t² + 64t > 0
Here, 64/16 = 4
So,
-16t (t - 4) > 0
Now,
t = 0 and t - 4 = 0
The interval notation for the equation is (0, 4)
Learn more about interval notation here:
brainly.com/question/28743524
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