Answer:
Step-by-step explanation:
<u>Area formula:</u>
<u>The height is:</u>
- h = (x + 2)sin 45° = √2(x + 2)/2
<u>Substitute the area value an set an equation:</u>
- 4√2 = (2x - 3)√2(x + 2)/2
- (2x - 3)(x + 2) = 8
- 2x² + x - 6 = 8
- 2x² + x - 14 = 0
- D = 1 + 4*2*14 = 113
- x = (-1 + √113)/4 = 2.41 (rounded)
Note. the second root ignored as negative
Answer:
0.79
Step-by-step explanation:
19 / 24 is 0.79166667
So it's 0.79
Answer: Length = 12 units
Width = 6 units
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Since the length of a rectangle is twice its width, thus means that the length will be: = 2x
Perimeter of a rectangle = 2(l + w)
where,
L = length
W = width
Therefore,
Perimeter = 2(l + b)
36 = 2(2x + x)
36 = 2(3x)
36 = 6x
x = 36/6
x = 6
Width = 6 units
Length = 2 × Width = 2 × 6 = 12 units
The two marked angles are complementary angles. This means that the angles are equal.
Hence, X + 1 = 2X - 3.
By rearranging, X = 4.
Answer:
the least common denominator
Step-by-step explanation:
The least common denominator is that number. It is the least common multiple of the denominator values.
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Simply multiplying by the product of the denominators will eliminate fractions, but may require reduction of fractions in the answer. If the "fractions" are rational expressions, extraneous solutions may be introduced.
