Given that:
CI = ₹408
years = 2 years
Rate of interest = 4%
A = P{1+(R/100)}^
A-P = p{1+(R/100)}^n - P
I = P[1+(R/100)}^n - 1]
408 = P[{1+(4/100)²} - 1]
= P[{1+(1/25)²} - 1]
= P[(26/25)² - 1]
= P[(676/625) - 1]
= P[(676-625)/625]
408 = P(51/625)
P = 408*(625/51)
= 8*625 = 5000
Sum = 5000
Simple Interest (I) = (P*R)/100
= 5000*2*(4/100)
= 50*2*4 = 400
From the given above options, option (a) ₹400 is your correct answer.
Part A
F = 50 N is the force applied along the purple vector
r = 1.5 is the radius (half the diameter 3)
theta = 110 is the angle in which the force vector is applied
Use this formula to plug in the values to find the torque T
T = F*r*sin(theta)
T = 50*1.5*sin(110)
T = 70.4769
<h3>Answer: The torque applied is approximately 70.4769 Newton-meters</h3>
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Part B
Refer back to the formula in part A. If theta is the variable, then T maxes out when theta = 90 degrees, because sin(theta) is maxed out at 1 here. If theta = 90, then T = F*r. The torque is maxed out when the force vector is perpendicular to the original position vector, this way you get the most push leading to the highest twisting or turning force possible.
<h3>Answer: 90 degrees</h3>
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Part C
Use the values from part A, but make theta = 90 so that the torque T is maxed out. So we would get the following
T = F*r*sin(theta)
T = 50*1.5*sin(90)
T = 50*1.5*1
T = 75
<h3>Answer: The max torque possible is 75 Newton-meters</h3>
Answer:
64
Step-by-step explanation:
Find the area of both triangles inside the bigger triangle and add them together.
Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:
a² + b² = c²
8² + b² = 10²
64 + b² = 100
36 = b²
6 = b
Calculate the area of the smaller triangle:
1/2(<em>b</em>x<em>h</em>)
1/2(6 x 8)
1/2(48)
24
Calculate the area of the bigger triangle:
<em>We know that the longer leg is 10 units because we were able to subtract the length of the smaller triangle's leg from 16.</em>
1/2(<em>b</em>x<em>h</em>)
1/2(10 x 8)
1/2(80)
40
Add both areas to find the area of the largest triangle:
40 + 24 = 64
What
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