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kolezko [41]
3 years ago
7

Write an equation that is perpendicular to x-3y=2 and contains the point (2,4)

Mathematics
1 answer:
Kisachek [45]3 years ago
6 0

perp to x-3y=2 thru (2,4)

For perpendicular we swap the coefficients on x and y, negating one

3x + y = some constant

We get the constant in the obvious way from the point

3x + y = 3(2) + 4 = 6 + 4 = 10

Answer: 3x + y = 10

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Step-by-step explanation:

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divide 41000 into two parts such that their amounts at 50% compound interest compounded annually in 2 and 3 years are equal​
Gnesinka [82]

Answer:24600 , 16400

Step-by-step explanation:

Let the first part be x

So, second part will be 41000 - x

For amount x

SI = prt / 100

SI = x * 0.50 * 2

SI = 1x

For amount 41000 - x

SI = (41000-x) * 0.50 * 3

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2.5x = 61500

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5 0
3 years ago
Express sin A, cos A, and tan A as ratios ​
vlabodo [156]
<h3>Answer: Choice B</h3><h3>sqrt(3)/2,    1/2,   sqrt(3)</h3>

================================================

Explanation:

Sine of an angle is the ratio of the opposite side over the hypotenuse. For reference angle A, the opposite side is BC = 6sqrt(3). The hypotenuse is the longest side AB = 12

Sin(angle) = opposite/hypotenuse

sin(A) = BC/AB

sin(A) = 6sqrt(3)/12

sin(A) = sqrt(3)/2

---------------

Cosine is the ratio of the adjacent and hypotenuse

cos(angle) = adjacent/hypotenuse

cos(A) = AC/AB

cos(A) = 6/12

cos(A) = 1/2

---------------

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tan(angle) = opposite/adjacent

tan(A) = BC/AC

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A restaurant charges large parties an amount that depends on the number of people
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Step-by-step explanation:

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