You want to find the time <em>t</em> such that
Divide both sides by $200 :
Take the logarithm of both sides:
Divide both sides by 0.04 and solve for <em>t</em> :
3x + y = 3
7x + 2y = 1
First isolate one of the variables (x or y) in one of the equations.
Isolate "y" in the first equation(because it is the easiest to isolate) and substitute it into the second equation.
3x + y = 3 Subtract 3x on both sides
3x - 3x + y = 3 - 3x
y = 3 - 3x
7x + 2y = 1
7x + 2(3 - 3x) = 1 [since y = 3 - 3x, you can substitute (3-3x) for "y"]
Multiply/distribute 2 into (3 - 3x)
7x + (3(2) - 3x(2)) = 1
7x + 6 - 6x = 1
x + 6 = 1 Subtract 6 on both sides
x = -5
Now that you know "x", substitute it into one of the equations (I will do both)
3x + y = 3
3(-5) + y = 3 [since x = -5, you can plug in -5 for "x"]
-15 + y = 3 Add 15 on both sides
y = 18
7x + 2y = 1
7(-5) + 2y = 1
-35 + 2y = 1 Add 35 on both sides
2y = 36 Divide 2 on both sides
y = 18
x = -5, y = 18 or (-5, 18)
Answer:i guess yes
Step-by-step explanation:
The hypotenuse of the triangle would be the diameter of the semi circle.
Using the Pythagorean theorem you can find that.
8^2 + 6^2 = x^2
64 +36 = x^2
100 = x^2
x = √100
x = 10
The diameter is 10, now find the circumference.
Circumference = diameter x PI = 10 x 3.14 = 31.4
Since it is a semi circle, the circumference would be 1/2 of that.
31.4 / 2 = 15.7
The perimeter would be 8 + 6 + 15.7 = 29.7
