Answer:
A = -4
B = 5
C = -3
Step-by-step explanation:
Standard form of a quadratic equation is y = Ax² + Bx + C
In the quadratic y = -4x² + 5x - 3, we can use this standard form to find A, B, and C.
Since -4 is the coefficient to x², A is -4.
Since 5 is the coefficient to x, B is 5.
Lastly, since -3 is the last term, C is -3.
So, the answer is:
A = -4
B = 5
C = -3
Answer:
502 Square Meters
Step-by-step explanation:
Surface Area is the sum of the areas of all the surfaces. There are 5 surfaces in total, so we find each surface area and find total Surface Area.
Shown Below:
Bottom Surface is a rectangle, so area is length * width = 10 * 16 = 160
Back Surface is a rectangle, so area is 6 * 16 = 96
Top (front) surface is a rectangle so area is 11.6 * 16 = 185.6
Left and right sides are 2 triangles, so are would be 0.5(base * height) for each. So,
Left triangle = 0.5 * 10 * 6 = 30
Right triangle = 30
Sum of all the surfaces = 160 + 96 + 185.6 + 30 + 30 = 501.6
Rounded to nearest whole number, that is 502
The surface area = 502 m^2
Answer: It will take him 1.68 years to recover his initial investment.
First, find the amount of extra money that he will make.
34,000 - 13,000 = 21,000
He will be making an extra 21,000 per year.
Now, divide the cost of his training by the amount of his increase.
35200 / 21000 = 1.68
That gives you the amount of years it will take him to pay off his investment.
Answer:
Perimeter of the other polygon is 88 feet.
Step-by-step explanation:
We are given that, 'Two polygons are similar'.
Also, the perimeter of the smaller polygon is 66 feet and the ratio of the corresponding side lengths is 
.
As, we know,
'If two polygons are similar, the ratio of their perimeters is equal to the ratio of their side lengths'.
Thus, we have,
Let, the perimeter of the other polygon = x feet.
i.e. 
i.e. 
i.e. x= 88 feet
Thus, the perimeter of the other polygon is 88 feet.
