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2 years ago

TanA+tanB+tanAtanB=1 If A+B=45 degree

Mathematics

1 answer:

djyliett [7]2 years ago

8 0

Answer:

See below

Step-by-step explanation:

$\tan A+\tan B + \tan A.\tan B = 1\\\\ \implies \: \tan A + \tan B = 1 - \tan A.\tan B \\ \\ \implies \: \frac{\tan A + \tan B}{ 1 - \tan A.\tan B } = 1\\ \\ \implies \: \tan (A + B) = 1 \\ \\ \implies \: \tan (A + B) =\tan 45 \degree \\ \\ \implies \: A + B = 45 \degree \\ \\ thus \: proved$

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Find the percent of discountOriginal price Sale Price<br> $60 <br> % $45

qwelly [4]

Answer:

25% Discount

Step-by-step explanation:

find the percent of discountOriginal price Sale Price

$60

% $45 =

$60 was the SP

$45 is the MP

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2 years ago

What is the best method

Ksenya-84 [330]

Answer:

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Step-by-step explanation:

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2 years ago

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What is the area of the 50ft by 100ft yard?

mario62 [17]

Answer: 4410 $ft^2$

Step-by-step explanation:

To find the area of a square or rectangle, all you need to do is multiply the length times the width:

L × W = A

The lengh is 100, and the width is 50

100 × 50 = 5000

However, in this problem, we also have other shapes in the rectangle. To find the area of JUST the green, we need to subtract the areas of the two circles and small blue rectangle.

First, let's get the two circles over with. To find the area of a circle, use this formula:

A = π $r^2$ r is the radius, which in this case, is 6

A = π $6^2$

A = 113 This isn't the exact answer, the exact answer would be 113.0973...

Now let's multiply the area of one of those circles by 2, since we have 2 circles:

113 × 2 = 226

Finally, we have to find the area of the blue rectangle. This is simple, just use the formula from the very beginning:

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The last thing to do is to subtract the areas of the two circles and blue rectangle from the area of the entire thing:

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3 years ago

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Please answer i need help quick

Serjik [45]

Answer:

(-2, 6)

Step-by-step explanation:

Since you want a 1 to 7 ratio, you want to divide the line into 2 parts, where one part has a length of 1 and the other has a length of 7. So the total length of the line is 8.

Start by looking at the difference in the X and Y coordinates.

X = | -4 - 12 | = | -16 | = 16

Y = | 7 - -1 | = | 8 | = 8

You could calculate the length of the line using pythagorian's theorem, but that's not needed. Simply use similar triangles. We have a right triangle with legs of length 16 and length 8. We want a similar triangle that is 1/8th as large (to get the desired 1 to 7 ratio). So divide both legs by 8, getting lengths of 16/8 = 2, and 8/8 = 1.

Now add those calculated offsets to point A.

A has an X coordinate of -4 and B has an X coordinate of 12 and the X coordinate for C must be between those limits. So calculate -4 + 2 = -2 to get the X coordinate for C.

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3 years ago

4. Don designed a triangular-shaped garden. Use the diagram to answer each question.

mote1985 [20]

This is a 45-45-90 triangle or a right triangle created by the sides.

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2 years ago

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TanA+tanB+tanAtanB=1 If A+B=45 degree​

TanA+tanB+tanAtanB=1 If A+B=45 degree