Answer:
72
Step-by-step explanation:
The pythagorean theorem states that in a right triangle A^2 + B^2 = C^2 where A and B are the two smaller sides and C is the hypotenuse.
Because of this, in this triangle 30^2 + B^2 = 78^2
Which means B^2 = 5184
And B = 72
Thank you for the free points!!!
Answer:
x = -2, y = -4, or (-2, -4).
Step-by-step explanation:
5x + y = -14
5x - 3y = 2
If we look at the first equation, we can see that y can be easily isolated.
5x + y = -14
Subtract 5x from both sides.
y = -5x - 14
Now we have a variable that we can plug into the second equation.
5x - 3y = 2
5x - 3(-5x - 14) = 2
Distribute the -3 across each term in the parentheses.
5x + 15x + 42 = 2
Combine like terms.
20x + 42 = 2
Subtract 42 from both sides.
20x = -40
Divide both sides by 20 to isolate x.
x = -2
Plug in x = -2 back into one of the equations to find y.
y = -5x - 14
y = -5(-2) - 14
Multiply.
y = 10 - 14
Subtract.
y = -4
Our solution is x = -2, y = -4, or (-2, -4).
Check your answer by plugging both values into one of the equations.
5x - 3y = 2
5(-2) - 3(-4) = 2
-10 + 12 = 2
2 = 2
Your answer is correct.
Hope this helps!
Answer:
The circumference is 155.49 unit
Step-by-step explanation:
First we need to know the formulas of the area and the perimeter
π = 3.14
a = 1926.5 u²
a = π * r²
p = 2 π * r
First we have to clear the r
a = π * r²
r = √(a * π)
r = √(1926.5 / 3.14)
r = √613.535
r = 24.76
Now that we got r we can calculated the perimeter
p = 2 π * r
p = 2 * 3.14 * 24.76
p = 155.49
