Area A Output: 2, 4, 6, 8
Perimeter P Output: 6, 8, 10, 12
Explanation: Just replace the x with the inputs and then solve.
Answer:
The length of the sides of the triangle are as follow: Two sides are 14.4 inches long and the shortest is 7.2 inches.
Step-by-step explanation:
P = 36in // perimeter of triangle
P = A + B + C //equation for perimeter of a triangle
A = B or B = A //Showing that two sides are equal in length
A = 2C and B = 2C //Showing that the two equal sides are each doubled of the shortest side
C = A/2 and C = B/2 //Showing the same thing as the top, but in terms of the shortest side
Solve for C //First we solve for the shortest side as it's easiest
36 = A + B + C
36 = 2C + 2C + C //Use substitution for A and B
36 = 5C
C = 7.2in
Solve for A
A = 2C
A = 2(7.2) //Use what we solved for C
A = 14.4in
Solve for B
B = A
B = 14.4in //Same as A
Check Work
P = A + B + C
P = 14.4 + 14.4 + 7.2
P = 36
Answer:
tan theta = 2 sqrt(5) /15
Step-by-step explanation:
sin theta = opp / hypotenuse
sin theta = 2/7
We can use the Pythagorean theorem to find the length of the adjacent side
a^2 + b^2 = c^2
2^2 +adj^2 = 7^2
4 + adj^2 = 49
adj ^2 = 49-4
adj^2 = 45
Taking the square root of each side
adj = sqrt(45) = sqrt(9*5) =sqrt(9) sqrt(5) = 3 sqrt(5)
The tan theta = opp/ adj
tan theta = 2 / 3 sqrt(5)
Multiply by sqrt(5) / sqrt(5)
= 2 sqrt(5) / 3 *5
= 2 sqrt(5) /15
Answer: x = 7
Step-by-step explanation:
-5x + 3(x + 5) = 1
-5x + 3x + 15 = 1
-2x + 15 = 1
-2x = -14
x = 
x = 7
