Answer:
Formula for gravitational force F = G M1 * M2 / R^2 where G is the gravitational constant
F2 / F1 = (R1 / R2)^2 = 1/2 where F2 is the required force
R2 = (2)^1/2 R1 distance for R2 to be 1/2 force at R1
Since force is proportional to the square of the distance of separation, increasing the distance of separation by 2^2 will halve the force
![\qquad\qquad\huge\underline{{\sf Answer}}♨](https://tex.z-dn.net/?f=%5Cqquad%5Cqquad%5Chuge%5Cunderline%7B%7B%5Csf%20Answer%7D%7D%E2%99%A8)
As we know ~
Area of the circle is :
![\qquad \sf \dashrightarrow \:\pi {r}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%5Cpi%20%7Br%7D%5E%7B2%7D%20)
And radius (r) = diameter (d) ÷ 2
[ radius of the circle = half the measure of diameter ]
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<h3>Problem 1</h3>
![\qquad \sf \dashrightarrow \:r = d \div 2](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Ar%20%3D%20d%20%5Cdiv%202)
![\qquad \sf \dashrightarrow \:r = 4.4\div 2](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Ar%20%3D%204.4%5Cdiv%202)
![\qquad \sf \dashrightarrow \:r = 2.2 \: mm](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Ar%20%3D%202.2%20%5C%3A%20mm)
Now find the Area ~
![\qquad \sf \dashrightarrow \: \pi {r}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%5Cpi%20%7Br%7D%5E%7B2%7D%20)
![\qquad \sf \dashrightarrow \:3.14 \times {(2.2)}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A3.14%20%5Ctimes%20%20%7B%282.2%29%7D%5E%7B2%7D%20)
![\qquad \sf \dashrightarrow \:3.14 \times {4.84}^{}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A3.14%20%5Ctimes%20%20%7B4.84%7D%5E%7B%7D%20)
![\qquad \sf \dashrightarrow \:area \approx 15.2 \: \: mm {}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Aarea%20%20%5Capprox%2015.2%20%5C%3A%20%20%5C%3A%20mm%20%7B%7D%5E%7B2%7D%20)
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<h3>problem 2</h3>
![\qquad \sf \dashrightarrow \:r = d \div 2](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Ar%20%3D%20d%20%5Cdiv%202)
![\qquad \sf \dashrightarrow \:r = 3.7 \div 2](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Ar%20%3D%203.7%20%5Cdiv%202)
![\qquad \sf \dashrightarrow \:r = 1.85 \: \: cm](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Ar%20%3D%201.85%20%5C%3A%20%20%5C%3A%20cm)
Bow, calculate the Area ~
![\qquad \sf \dashrightarrow \: \pi {r}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%5Cpi%20%7Br%7D%5E%7B2%7D%20)
![\qquad \sf \dashrightarrow \:3.14 \times (1.85) {}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A3.14%20%5Ctimes%20%281.85%29%20%7B%7D%5E%7B2%7D%20)
![\qquad \sf \dashrightarrow \:3.14 \times 3.4225 {}^{}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A3.14%20%5Ctimes%203.4225%20%7B%7D%5E%7B%7D%20)
![\qquad \sf \dashrightarrow \:area \approx 10.75 \: \: cm {}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Aarea%20%20%5Capprox%2010.75%20%5C%3A%20%20%5C%3A%20cm%20%7B%7D%5E%7B2%7D%20)
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<h3>Problem 3 </h3>
![\qquad \sf \dashrightarrow \:\pi {r}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%5Cpi%20%7Br%7D%5E%7B2%7D%20)
![\qquad \sf \dashrightarrow \:3.14 \times (8.3) {}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A3.14%20%5Ctimes%20%288.3%29%20%7B%7D%5E%7B2%7D%20)
![\qquad \sf \dashrightarrow \:3.14 \times 68.89](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A3.14%20%5Ctimes%2068.89)
![\qquad \sf \dashrightarrow \:area \approx216.31 \: \: cm {}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Aarea%20%5Capprox216.31%20%5C%3A%20%20%5C%3A%20cm%20%7B%7D%5E%7B2%7D%20)
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<h3>Problem 4</h3>
![\qquad \sf \dashrightarrow \:r = d \div 2](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Ar%20%3D%20d%20%5Cdiv%202)
![\qquad \sf \dashrightarrow \:r = 5.8 \div 2](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Ar%20%3D%205.8%20%5Cdiv%202)
![\qquad \sf \dashrightarrow \:r = 2.9 \: \: yd](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Ar%20%3D%202.9%20%5C%3A%20%20%5C%3A%20yd)
now, let's calculate area ~
![\qquad \sf \dashrightarrow \:3.14 \times {(2.9)}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A3.14%20%5Ctimes%20%20%7B%282.9%29%7D%5E%7B2%7D%20)
![\qquad \sf \dashrightarrow \:3.14 \times 8.41](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A3.14%20%5Ctimes%20%208.41%20)
![\qquad \sf \dashrightarrow \:area \approx26.41 \: \: yd {}^{2}](https://tex.z-dn.net/?f=%20%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Aarea%20%20%5Capprox26.41%20%5C%3A%20%20%5C%3A%20yd%20%7B%7D%5E%7B2%7D%20)
・ .━━━━━━━†━━━━━━━━━.・
<h3>problem 5</h3>
![\qquad \sf \dashrightarrow \:r = d \div 2](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Ar%20%3D%20d%20%5Cdiv%202)
![\qquad \sf \dashrightarrow \:r = 1 \div 2](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Ar%20%3D%201%20%5Cdiv%202)
![\qquad \sf \dashrightarrow \:r = 0.5 \: \: yd](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Ar%20%3D%200.5%20%5C%3A%20%20%5C%3A%20yd)
Now, let's calculate area ~
![\qquad \sf \dashrightarrow \:\pi {r}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%5Cpi%20%7Br%7D%5E%7B2%7D%20)
![\qquad \sf \dashrightarrow \:3.14 \times (0.5) {}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A3.14%20%5Ctimes%20%280.5%29%20%7B%7D%5E%7B2%7D%20)
![\qquad \sf \dashrightarrow \:3.14 \times 0.25](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A3.14%20%20%5Ctimes%200.25)
![\qquad \sf \dashrightarrow \:area \approx0.785 \: \: yd {}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Aarea%20%5Capprox0.785%20%5C%3A%20%20%5C%3A%20yd%20%7B%7D%5E%7B2%7D%20)
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<h3>problem 6</h3>
![\qquad \sf \dashrightarrow \:\pi {r}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%5Cpi%20%7Br%7D%5E%7B2%7D%20)
![\qquad \sf \dashrightarrow \:3.14 \times {(8)}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A3.14%20%5Ctimes%20%20%7B%288%29%7D%5E%7B2%7D%20)
![\qquad \sf \dashrightarrow \:3.14 \times 64](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A3.14%20%5Ctimes%2064)
![\qquad \sf \dashrightarrow \:area = 200.96 \: \: yd {}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Aarea%20%3D%20200.96%20%5C%3A%20%20%5C%3A%20yd%20%7B%7D%5E%7B2%7D%20)
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Answer:
a Long-term goals are reached over an extended period of time, so your current income does not affect
them.
Step-by-step explanation:
Financial planning refers to long term goals that are planned and reached over an extended period of time to keep one solvent in cases of emergency without having a direct effect on current income.
Solvency simply means having more assets than liabilities to be able to stay afloat of one's debts.
Answer:
Its Option C
Step-by-step explanation:
The difference is 180 - 135 = $45
So it is 45 * 100 / 135
= 33.33% greater
The answers to the questions are
- The mathematical model is given as s = −16t2 + 1054
- The height after 4.5 seconds is 730 feet
- the time it would take to strike the ground is 8.11 seconds.
<h3>How to solve for the position of the object</h3>
The mathematical model of this problem would be written as
s = −16t2 + v0t + s0
s0 = 1054
then we would have
s = −16t2 + 1054
b. after 4.5 seconds the height is going to be
s = −16t2 + 1054
= −16(4.5)² + 1054
= -16 * 20.25 + 1054
= 730
C. the time that it takes to strike the ground
s = −16t² + 1054
= 16t² = 1054
t² = 1054/16
= 65.88
t = √65.88
t = 8.11
Hence the time it would take to strike the ground is 8.11 seconds.
Read more on velocity here:
brainly.com/question/4931057
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