Answer:
smallest amount of sugar = 40 kg
largest amount of sugar = 80 kg
Step-by-step explanation:
2 : 3 : 4
2 + 3 + 4 = 9
180 ÷ 9 = 20
Therefore,
2 : 3 : 4 = (2 x 20) : (3 x 20) : (4 x 20) = 40 : 60 : 80
So the smallest amount of sugar = 40 kg
and the largest amount of sugar = 80 kg
Answer:
The base of the second parallelogram is 51cm.
Step-by-step explanation:
If the parallelograms are similar, it means by applying the same scale factor to all the sides in one gives you the other. The question tells us the height of the first shape is 8cm and the height of the second shape is 34cm. That means the scale factor is:
Apply this same scale factor to the base of the first shape to find the base of the second:
We have the following function:
P (m) = m / 6 + 9
Clearing m we have:
m = 6 * (p-9)
m= 6*p - 6*9
Rewriting:
m (p) = 6p-54
Answer:
The inverse function for this case is given by:
m (p) = 6p-54
option A
Answer:
-b -3/2
Step-by-step explanation:
-1/2(8b+3) + 3B (a negative times a positive equals a negative)
1. Mutiply -1/2 by 8b and then by 3
(-1/2 x 8b -1/2 x 3) + 3b
-4b - 3/2 + 3b
2. Add -4b + 3b = -b
-b - 3/2
The regular hexagon has both reflection symmetry and rotation symmetry.
Reflection symmetry is present when a figure has one or more lines of symmetry. A regular hexagon has 6 lines of symmetry. It has a 6-fold rotation axis.
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Rotation symmetry is present when a figure can be rotated (less than 360°) and still look the same as before it was rotated. The center of rotation is a point a figure is rotated around such that the rotation symmetry holds. A regular hexagon can be rotated 6 times at an angle of 60°
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