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jekas [21]
3 years ago
14

To calculate 4 1/5% tax on $63.78, multiply 4.2 times 63.78. True or False.

Mathematics
2 answers:
nikdorinn [45]3 years ago
6 0

The answer is false


Marina86 [1]3 years ago
4 0
\bf {{ a}}\%\ of\ b \implies  \cfrac{{{ a}}}{100}\cdot b\implies {{ a}}\div 100\cdot b\qquad thus\\\\
-----------------------------\\\\
{{ 4\frac{1}{5}}}\%\ of\ 63.78 \implies  \cfrac{{{ 4\frac{1}{5}}}}{100}\cdot 63.78\implies {{ 4\frac{1}{5}}}\div 100\cdot 63.78

you tell us, what would you end up multiplying 63.78 there, to get the 4 1/5% of it?
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Calculate pt3 such that a line from pt1 to pt3 is perpendicular to the line from pt1 to pt2, and the distance between pt1 and pt
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Let the point_1 = p₁ = (1,4)
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m₁ = Δy/Δx = (1-4)/(-2-1) = 1
m₂ = Δy/Δx = (y-4)/(x-1)
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(y-4) = (1-x) ⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ equation (1)

The distance from point_1 to point_2 is d₁
The distance from point_1 to point_3 is d₂
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d₁ = \sqrt{(-2-1)^2+(1-4)^2}
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d₁ = d₂
∴ \sqrt{(-2-1)^2+(1-4)^2} = \sqrt{(x-1)^2+(y-4)^2} ⇒⇒ eliminating the root
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from equatoin (1)  y-4 = 1-x
∴(x-1)²+(1-x)² = 18            ⇒⇒⇒⇒⇒ note: (1-x)² = (x-1)²
2 (x-1)² = 18
(x-1)² = 9
x-1 = \pm \sqrt{9} = \pm 3
∴ x = 4 or x = -2
∴ y = 1 or y = 7

Point_3 = (4,1)  or  (-2,7)












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