Hello!
When multiply binomials together, we should use the FOIL method.
The FOIL method is an acronym for First, Outer, Inner, and Last.
First, let's set up the expression.
(7x - 1)(3x - 2)
Now, we can multiply in accordance with the FOIL method.
First: 7x · 3x = 21x²
Outer: 7x · -2 = -14x
Inner: -1 · 3x = -3x
Last: -1 · -2 = 2
Now, we simplify the inner terms.
21x² - 14x - 3x + 2
21x² - 17x + 2
Therefore, the area of the rectangle is 21x² - 17x + 2.
We know that tanθ = sinθ/cosθ
For a number to be undefined, the denominator must equal to 0. At π/2, the cosθ value is 0 and sinθ is 1. Hence, tan(π/2) is undefined.
Hope I helped :)
Xy
-5.510
-4.58
-3.56
-2.54
-1.52
Answer:
(16 + 8√3) in²
Step-by-step explanation:
The ratio of side dimensions for a 30°-60°-90° triangle are 1 : √3 : 2. If we call the horizontal dimension of the triangle its base, then its height (vertical dimension) will be √3×4 in. Of course the area of the triangle is ...
... A = (1/2)bh = (1/2)(4 in)(4√3 in) = 8√3 in²
The total sod area is the sum of the square area (16 in²) and the triangle area, so is ...
... area to cover = (16 +8√3) in²
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<em>Comment on problem dimensions</em>
The area involved here is not much larger than the size of your hand. It would make more sense for the dimensions to be in feet or yards or meters, rather than inches.
