Construct a 2 ×2 Matrix whose elements aij are given by a ij = i+j
1 answer:
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Answer:
Proportional.
Step-by-step explanation:
Find the cross products. If they are same, then they are proportional.
Cross multiply,
1.2 * 4 .5 = 3*1.8
5.40 = 5.4
So, they are proportional.
Or
Multiply the numerator and denominator of 1.2/3 by 1.5
From this we come to know they are proportional
Or
1.2 : 3 :: 1.8 : 4.5
Product of means = 3*1.8 = 5.4
Product of extremes = 1.2*4.5 = 5.4
Product of means = product of extremes. So, they are proportional.
Answer:
Height of the cereal box = 18 in.
Step-by-step explanation:
A cereal box is in the shape of a cuboid.
And volume of a cuboid is represented by the expression,
Volume = Length × Width × Height
It's given that volume of the box = 432 in³
Length of the base = 2 in.
Width of the base = 12 in
By substituting these values in the expression,
432 = 2 × 12 × h
h =
h = 18 in.
Therefore, height of the cereal box is 18 in.
Both of these problems will be solved in a similar way, but with different numbers. First, we set up an equation with the values given. Then, we solve. Lastly, we plug into the original expressions to solve for the angles.
[23] ABD = 42°, DBC = 35°
(4x - 2) + (3x + 2) = 77°
4x+ 3x + 2 - 2 = 77°
4x+ 3x= 77°
7x= 77°
x= 11°
-
ABD = (4x - 2) = (4(11°) - 2) = 44° - 2 = 42°
DBC = (3x + 2) = (3(11°) + 2) = 33° + 2 = 35°
[24] ABD = 62°, DBC = 78°
(4x - 8) + (4x + 8) = 140°
4x + 4x + 8 - 8 = 140°
4x + 4x = 140°
8x = 140°
8x = 140°
x = 17.5°
-
ABD = (4x - 8) = (4(17.5°) - 8) = 70° - 8° = 62°
DBC =(4x + 8) = (4(17.5°) + 8) = 70° + 8° = 78°
