Answer:
Part a - 25 pieces
Part b - 4 sheets
Step-by-step explanation:
<u>Part a</u>
Think of this in terms of how many "units" can the total paper be cut into. Easiest way to keep track of units is by their area. In other words, take the total area and see how many unit areas fit into it:
Number of units = total area / unit area
N = (85 x 60) / (20 x 10)
N = 5100 / 200
N = 25.5
Therefore the greatest number of pieces the paper can be cut into is 25 units (the 0.5 doesn't count since it's not a full pieces).
<u>Part b</u>
Again, back to units. This time the "total" is 100, and our unit size is 25.5. So:
Number of units = total gifts / gifts per unit
N = 100 / 25.5
N = 3.9
Therefore 4 sheets of wrapping paper will be needed (you need to round the 3.9 up because wrapping paper sheets only come in whole numbers for the purposes of this question).
Answer:
C. Ф = 4 radians
Step-by-step explanation:
Given,
Radius of the Circle (r) = 3cm
Length of the Arc (S) = 12cm
In any circle of radius r, the arc length S to the circumference equals the ratio of the angle θ subtended by the arc at the centre and the angle in one revolution. Thus, measuring the angles in radians, S=rθ.
Therefore, S = r*Ф
12 = 3*Ф
Hence, Ф = 4 radians
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That is true. 4 and 5 are corresponding angles.
P = 4x + 2y
additional info.
<span>x+2y <u><</u> 10
y <u><</u> 2
x <u>></u> 0
y <u>></u> 0
y can only be 0, 1, and 2.
x + 2(0) <u><</u> 10 = x <u><</u> 10
x + 2(1) <u><</u> 10 = x + 3 <u><</u> 10 = x <u><</u> 10 - 3 = x <u><</u> 7
x + 2(2) <u><</u> 10 = x + 4 <u><</u> 10 = x < 10 - 4 = x <u><</u> 6
x = 10 ; y = 0 : P = 4(10) + 2(0) = 40 + 0 = 40
x = 7 ; y = 1 : P = 4(7) + 2(1) = 28 + 2 = 30
x = 6 ; y = 2 : P = 4(6) + 2(2) = 24 + 4 = 28
The maximum value of P is 40. Where x is 10 and y is 0.</span>
Answer:
How to Find Area and Perimeter: 11 Steps (with Pictures ... To find the perimeter of a shape, measure each of the sides and add them all together. To find the area of a square, rectangle, or other parallelograms, multiply the length by the width. If you need to find the area of a different shape, you will need to know the formula for that shape.
