Answer:
Undefined
Explanation:
When a line is vertical like that, the slope is undefined. If it was horizontal, then it would be zero. Positive slopes go in an upward right direction. Negative slopes go in a downward left direction.
Nadine bought the ingredients for 24 cupcakes for $5.60. She sold each cupcake for $1.30. She saved 25% of the profits and used
1 answer:
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Answer:
13) The planes ABF and FHG are perpendicular
14) Segments Ab and CD are parallel.
Step-by-step explanation:
13)
Planes ABF and FHG are perpendicular (they intersect along side EF)
14)
In order to find out about the segments AB and CD, let's use the formula for the slope that joins any two points on the plane:
Therefore, given:
A = (-3, 2)
B = (1, 4)
C = (-3, -1)
D = (1, 1)
we have for segment AB the following slope:
and for segment CD the following slope:
Since they show the same slope, these two segments are parallel.
240 inches cut into 2 equal pieces is just taking half of the wire.
Making the two pieces of wire 120 inches.
If you bend one 120 inch wire into a square, that means that each side equals 30 inches. (A square has 4 sides. 120/4 = 30)
An area of a square is length times width, which the length equals 30 and width equal to thirty. 30 * 30 = 900. square inches.
120 wire bent into a triangle makes each side equal to 40. 120/3=40. The area of an equilateral triangle is height times width. The width is just one of the sides (40 inches) but the height needs some geometry. To find the height you need to use either 30 times sin(60) or 30 times cos(30), both are equal. To be clear, I will leave the height as 30sin(60). The area will be equal to
which can be simply written as 1200sin(60).
So the sum of both areas is
Making the two pieces of wire 120 inches.
If you bend one 120 inch wire into a square, that means that each side equals 30 inches. (A square has 4 sides. 120/4 = 30)
An area of a square is length times width, which the length equals 30 and width equal to thirty. 30 * 30 = 900. square inches.
120 wire bent into a triangle makes each side equal to 40. 120/3=40. The area of an equilateral triangle is height times width. The width is just one of the sides (40 inches) but the height needs some geometry. To find the height you need to use either 30 times sin(60) or 30 times cos(30), both are equal. To be clear, I will leave the height as 30sin(60). The area will be equal to
which can be simply written as 1200sin(60).
So the sum of both areas is