10 (2x + 3) = 15 x 9
20x + 30 = 135
20x = 135-30 = 105
x = 105 / 20 = 5.25
answer: x = 5.25
Answer:
Step-by-step explanation:
The number of grains of wheat on the n(th) square is 2^(n-1), or 2 to
the power of n-1. This is because the first square has 2^0 = 1 grain,
the second has 2^1 = 2, and the n(th) square has twice as many as the
previous. Thus the total number of grains of wheat is
S = 1 + 2 + 4 + 8 + ... + 2^63.
Since this is a geometric sequence with common ratio 2, the sum is
2^64 - 1
S = -------- = 2^64 - 1 = 18446744073709551615.
2 - 1
Answer:
3
Step-by-step explanation:
Distribute 3/8 to m and 1 so now the equation should be 1/4m + 3/4m - 3/8m + 3/8
then add 1/4m 3/4 to get m. the equation should now look like m - 3/8m + 3/8
m is 1m but the one is invisible so subtract 3/8 from 1 now the equation should look like 5/8m + 3/8
final answer: 5/8 + 3/8
Answer:
24/25
20/29
Step-by-step explanation:
Trigonometry ratios:
where O is the side opposite to the angle, A is the side adjacent to the angle and H is the hypotenuse (longest side)
As angles A and C are complementary, this implies that side b is the hypotenuse and sides a and c are the legs of a right triangle.
Referring to the attached diagram:
sin(A) = O/H = a/b
cos(C) = A/H = a/b
Therefore, sin(A) ≡ cos(C)
If sin(A) = 24/25 , the value of cos(C) = 24/25
If cos(A) = 20/29, the value of sin(C) = 20/29
