x + y = 24 where x and y are the 2 parts of diagonal Other diagonal wil be smaller that 24.
x^2 + z^2 = 13^2
y^2 + z^2 = 20^2 where z = 0.5 * length of smaller diagonal)
form last 2 equations
y^2 - x^2 = 20^2 - 13^2 = 231
now y = 24-x so we have
(24 - x)^2 - x^2 = 231
576 - 48x = 231
48x = 345
x = 7.1875
z^2 = 13^2 - 7.1875^2 = 117.34
z = 1.83
so smaller diagonal = 21.66 cm
looks like its the third choice.
The common ratio is the fifth term divided by the fourth term: -40/-8 = 5.
The seventh term is :
The answer is 6 cap use photo math
Answer:
x = 2.1
Step-by-step explanation:
Solve for x:
0.4 (2 x + 0.3) = (6 x - 7.2)/3
Multiply both sides by 3:
3×0.4 (2 x + 0.3) = (3 (6 x - 7.2))/3
(3 (6 x - 7.2))/3 = 3/3×(6 x - 7.2) = 6 x - 7.2:
3×0.4 (2 x + 0.3) = 6 x - 7.2
3×0.4 = 1.2:
1.2 (2 x + 0.3) = 6 x - 7.2
Expand out terms of the left hand side:
2.4 x + 0.36 = 6 x - 7.2
Subtract 6 x from both sides:
(2.4 x - 6 x) + 0.36 = (6 x - 6 x) - 7.2
2.4 x - 6 x = -3.6 x:
-3.6 x + 0.36 = (6 x - 6 x) - 7.2
6 x - 6 x = 0:
0.36 - 3.6 x = -7.2
Subtract 0.36000000000000004` from both sides:
(0.36 - 0.36) - 3.6 x = -0.36 - 7.2
0.36 - 0.36 = 0:
-3.6 x = -0.36 - 7.2
-0.36 - 7.2 = -7.56:
-3.6 x = -7.56
Divide both sides of -3.6 x = -7.56 by -3.6:
(-3.6 x)/(-3.6) = (-7.56)/(-3.6)
(-3.6)/(-3.6) = 1:
x = (-7.56)/(-3.6)
(-7.56)/(-3.6) = 2.1:
Answer: x = 2.1
