Answer:
- <u>Surface Area = 188.4 square yards</u>
- <u>Volume = 216 cubic yards</u>
Step-by-step explanation:
Finding the hypotenuse of the triangular side :
- Applying Pythagorean theorem
- √6² + 6²
- √2 x 6²
- 6√2
Finding Surface Area :
- Area (2 triangles) + Area (2 smaller rectangles) + Area (larger rectangle)
- 2 x 1/2 x 6 x 6 + 2 x 12 x 6 + 12 x 6√2
- 36 + 144 + 6√2
- 180 + 6√2
- 6 (30 + √2)
- 6 (30 + 1.4)
- 6 (31.4)
- <u>188.4 square yards</u>
<u></u>
Finding Volume :
- 1/2LWH
- 1/2 x 12 x 6 x 6
- 6³
- <u>216 cubic yards</u>
Answer:
f(x) = -5x +48
Step-by-step explanation:
A fairly easy way to write the equation of the perpendicular line is to swap the x- and y-coefficients, negating one of them. Then choose the constant in the equation to make it true at the given point.
<h3>Swapped coefficients</h3>
In this instance, we find it convenient to leave the coefficient of y as positive.
5y = x -10 . . . . . . original equation
y = -5x +c . . . . . . with coefficients swapped, x-coefficient negated
<h3>New constant</h3>
At the given point, the equation becomes ...
8 = -5(8) +c
48 = c . . . . . . . add 40
<h3>Equation of the perpendicular line</h3>
The equation of the line is then ...
y = -5x +48
f(x) = -5x +48 . . . . . . in functional notation
Answer:
The graph of g(x) is f(x) translated 3 units up.
Step-by-step explanation:
3x+10°=70
or,3x=70-10
or,3x=60
or,x=60÷3
or,x=20
13x-5=-2x+7
15x-5=7
15x=12
x=12/15=4/5