Answer:
C=2πr
Step-by-step explanation:
The circumference is the total distance around the circle.
C=πd but d = 2r.
:.C=2πr.
It is true. Guptas did figure out the earth was round by observing lunar eclipses.
If my math is right the it’s 21.13
Work:
(17+18+18+19+20+21+21+21+22+22+22+22+
23+25+26)/15
Kim's Loan:
Let A = amount borrowed from bank A.
Let B = amount borrowed from bank B.
The total loan is $55,000.
Therefore
A + B = 55000 (1)
Bank A charges 8% interest. The interest after 1 year is 0.08A.
Bank B charges 11% interest. The interest after 1 year is 0.11B.
Total interest after 1 year is $5,000.
Therefore
0.08A + 0.11B = 5000 (2)
From (1), obtain
B = 55000 - A (3)
Substitute (3) into (2).
0.08A + 0.11(55000 - A) = 5000
0.08A + 6050 - 0.11A = 5000
-0.03A = -1050
A = -1050/-0.03 = 35000
Answer: Kim borrowed $35,000 from bank A.
Jack's Loan.
A = loan from bank A.
B = loan from bank B.
The total loan is $10,000.
Therefore
A + B = 10000 (4)
Bank A charges 5% interest and bank B charges 6% interest.
Total interest after 1 year is $530, therefore
0.05A + 0.06B = 530 (5)
From (4), obtain
B = 10000 - A (6)
Substitute (6) into (5).
0.05A + 0.06(10000 - A) = 530
0.05A + 600 - 0.06A = 530
-0.01A = -70
A = -70/-0.01 = 7000
Answer: Jack borrowed $7,000 from bank A.
Answer:
6.7
Step-by-step explanation:
To solve this problem, we need to calculate the distance between two points in the XY coordinate plane.
The formula to calculate this distance is:
d = sqrt(dx^2 + dy^2)
where dx is the difference between the X coordinate of the points, dy is the difference between the Y coordinate of the points, and d is the distance.
(sqrt is the square root of what is in the parenthesis)
The first point (April's king) has X=4 and Y=2, the second point (the opponent's king) has X=7 and Y=8.
So, we have that dx = 4-7 = -3 and dy = 2-8 = -6
Now, we calculate the distance:
d = sqrt[ (-3)^2 + (-6)^2 ] = sqrt(9+36) = sqrt(45) = 6.7082 = 6.7
