Ellipse area = PI * a * b
ellipse area = 3.14 * 8 * 7
ellipse area = 175.84
Answer:
y = ![-\frac{4x-5}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B4x-5%7D%7B2%7D)
Step-by-step explanation:
Step 1: Switch sides
5 - 2y = 4x
Step 2: Subtract 5 from both sides
5 - 2y - 5 = 4x - 5
Step 3: Simplify
-2y = 4x - 5
Step 4: Divide both sides by -2
![\frac{-2y}{-2} = \frac{4x}{-2} - \frac{5}{-2}](https://tex.z-dn.net/?f=%5Cfrac%7B-2y%7D%7B-2%7D%20%3D%20%5Cfrac%7B4x%7D%7B-2%7D%20-%20%5Cfrac%7B5%7D%7B-2%7D)
Step 5: Simplify
y = ![-\frac{4x-5}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B4x-5%7D%7B2%7D)
Answer:
C) 189.5
Step-by-step explanation:
Add all the numbers and divide by 4
Just add 3 zero's to the current number, it's that simple :)
Thus, 4 726 282 000
Answer:
75
Step-by-step explanation:
If the area of ABCD is equal to 45, then the perimeter of EFG is equal to x * 1.5 = 45. 45 / 1.5 = 30, so the perimeter of EFG is equal to 30. This means that each side is equal to 10.
The height of the equilateral triangle EFG creates two 30-60-90 triangles, each with a hypotenuse of 10 and a short side equal to 5. We know that the long side of the 30-60-90 triangle (here the height of EFG) is equal to √3 times the short side, or 5√3.
We then apply the formula for the area of a triangle, which is 1/2 * b * h. We get 1/2 * 10 * 5√3 = 5 * 5√3 = 25√3.
In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.