Answer:
Here, we will use the formula from trigonometry which defines a radian
we know that an angle is a radian when the length of the radius of the circle is equal to the length of the arc formed
hence, if the radius is r and the arc is r, the angle (in radians) will be 1
if the radius is r and the arc is 2r, the angle in radians will be equal to:
length of arc / radius = 2r/r = 2 radians
I believe this will explain what is actually happening in these type of questions
So, the equation:
Θ(in radians) = s / r (where the length of arc is s and the radius is r)
π/4 = s / 12
s = 3π or 9.42 inches
Answer:
A got 243 tk
Step-by-step explanation:
Supose the amount C got was "x"
12 times B's share is 6 times C's share, that would be:
B = 6x
Also, 8 times A's share is 12 times B's share, that would be:
8A = 12B
8A = 12(6x)
8A = 72x
A = 72x/8
A = 9x
Now, we can say:
A = 9x
B = 6x
C = x
We know total is 432, thus we can write and solve for x first:
A + B + C = 432
9x + 6x + x = 432
16x = 432
x = 432/16
x = 27
A got "9x", so plugging in x = 27, we know:
A got 9*27 = 243 tk
Step-by-step explanation:
Simple interest formula
Compound interest formula
a.
Simple interest is $125
b
. 
Compound interest is $125
c. the result for both a and b are the same
d.
the simple interest is $375
e
. ![A = 5000 (1 + \frac{0.025}{1})^{1*3}] \\A=5000(1.025)^3 \\A=5000(1.077)\\A= 5385](https://tex.z-dn.net/?f=A%20%3D%205000%20%281%20%2B%20%5Cfrac%7B0.025%7D%7B1%7D%29%5E%7B1%2A3%7D%5D%20%5C%5CA%3D5000%281.025%29%5E3%20%5C%5CA%3D5000%281.077%29%5C%5CA%3D%205385)
the compound interest is $385
f. the result compared, compound interest is $10 more than simple interest
g.
the simple interest is $600
h.
![A = 5000 (1 + \frac{0.02}{1})^{1*6}] \\A=5000(1.12)^6 \\A=5000(1.9738) \\A= 9869](https://tex.z-dn.net/?f=A%20%3D%205000%20%281%20%2B%20%5Cfrac%7B0.02%7D%7B1%7D%29%5E%7B1%2A6%7D%5D%20%5C%5CA%3D5000%281.12%29%5E6%20%5C%5CA%3D5000%281.9738%29%20%5C%5CA%3D%209869)
the compound interest is $4869
i. the result from g and h, h is over 8 times bigger than g.
j. interest compound annually is not the same as simple interest, only for the case of a and b seeing that it is for 1 year. but for 2years and above there is difference as seen in c to h
Answer:
I don't know that one sorry
She is 17.9 meters down because it have to stay 10 meters apart then you take where the first girl was at and add 10 meters
