Select all of the equations that represent proportional realtionships. A. C = 2p + 6 B. T = 2.5d C. F = 9/5 C + 32 D. C = 2.54n
1 answer:
Answer:
Options (B), (D), (E), (F) and (G)
Step-by-step explanation:
Any equation in the form of 'y = mx' shows the proportional relationship.
Or functions passing through origin show the proportional relationship.
Where 'm' = Proportionality constant
Now by analyzing the given options,
Option A
C = 2p + 6
Not proportional.
Option B
T = 2.5 D
Proportional.
(Proportionality constant = 2.5)
Option C
F =
Not proportional
Option D
C = 2.54n
Proportional.
Option E
E = 2s
Proportional
Option F
S.A. = 6s²
Proportional.
Option G
Volume (V) = s³
Not Proportional.
Options (B), (D), (E), (F) and (G) are the correct options.
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Answer:
6 (assuming the units is in centimetres)
Step-by-step explanation:
Hi, hope this helps!
Method 1:
Calculate this shape as a trapezium. This is a trapezium because it has one pair of parallel sides. The way to calculate the area of a trapezium is this:
- Half the sum of the parallel sides
- Multiply the perpendicular height between them
In this case, 4 and 2 are parallel, so we add them together (4 + 2 = 6) then we divide by two (6 ÷ 2 = 3). Then we multiply our answer by the perpendicular length between the two parallel sides (assuming the side on the left is at a right-angle, 3 x 2 = 6).
Method 2:
Calculate this shape as a rectangle + a triangle. If you split the shape so the pointy bit on the right becomes a triangle and the left becomes a square, you can calculate the area without knowing the formula for calculating a trapezium (see above ^).
- Area of the square / rectangle = length x width = 2 x 2 = 4
- Area of the triangle = 1/2 x length x width = 2 x 2 x 1/2 = 4 x 1/2 = 4 ÷ 2 = 2
Then we add the two areas together (4 + 2 = 6).
I hope this helped and I wasn't waffling on :)
Bluey