Jeff goes to the fair and spends a fourth of his money on the ticket and half of his money on food. If he spent a total of $24,
1 answer:
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Answer:
Step-by-step explanation:
to find the surface area we need to find the followng areas:
- area of the square
- area of a triangle and multiply it by 4 (because there are 4 triangles)
And once we have those areas, we add them to find the surface area.
Area of the square:
the formula to find the area of a square is:
where is the length of the side:
thus the area of the square is:
Area of the triangles:
the are of 1 triangle is given by
where is the base of the triangle:
(the base of the triangle is the side of the square)
and is the height of the triangle:
thus, the area of 1 triangle is:
the area of the 4 triangles is (we multiply by 4):
finally we add the area of the square and the area of the 4 triangles to find the total surface area:
9514 1404 393
Answer:
A, M, N, F
Step-by-step explanation:
I find it easier to look at the graph, rather than mess with the coordinate transformations. Each image point is the same distance from the line of reflection that its pre-image point is. The line joining the two points is perpendicular to the line of reflection.
See attached for the reflected points.
__
The red and turquoise dashed lines are the lines y=x and y=-x, respectively. The same-colored arrows show the reflection of the relevant point.
_____
The transformations of interest are ...
(x, y) ⇒ (y, x) . . . . reflection over y = x
(x, y) ⇒ (-x, y) . . . . reflection over y-axis
(x, y) ⇒ (x, -y) . . . . reflection over x-axis
(x, y) ⇒ (-y, -x) . . . . reflection over y = -x
