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2 years ago

If anyone can help that would be great!

Mathematics

1 answer:

dolphi86 [110]2 years ago

3 0

Answer:

-120/119

Step-by-step explanation:

cos α = -5/13 = adj/hyp

using Pythagoras theorem

hypotenuse ² = opposite² + adjacent ²

13² =opp²+ (-5)²

169 = opp² + 25

169-25 = 144 = opp²

opp = √144 = 12

sinα = opp/hyp = -12/13

sin β = -12/13

tan(α+β) = (tanα + tanβ)/ (1-tanαtanβ)

cos α = -5/13

sinα = 12/13

tanα= sinα/cosα = 12/13 / -5/13 = 12/-5 = -12/5

sin β = -12/13

cos β = 5/13

tan β = sinβ/cosβ = -12/13 / 5/13 = -12/5

tan(α+β) = (tanα + tanβ)/ (1-tanαtanβ)

tanα = -12/5

tanβ= -12/5

tan(α+β) = (tanα + tanβ)/ (1-tanαtanβ) = (-12/5+(-12/5))/(1-(-12/5)(-12/5))

(-12/5+(-12/5)) = -12-12/5 = -24/5

(1-(-12/5)(-12/5)) = 1-(144/25) = (25-144)/25 = 119/25

tan(α+β) = (tanα + tanβ)/ (1-tanαtanβ) = (-12/5+(-12/5))/(1-(-12/5)(-12/5)) =-24/5/119/25 = -24/5 x 25/119 = -24x5/119 = -120/119

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alekssr [168]

For this case we have the following equation:

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We apply distributive property on the left side of the equation:

$\frac {5 * 2} {6} x + \frac {5 * 12} {6} -8 = 4- (x + 1)\\\frac {10} {6} x + \frac {60} {6} -8 = 4- (x + 1)$

We simplify the left side of the equation:

$\frac {5} {3} x + 10-8 = 4- (x + 1)$

Different signs are subtracted and the major sign is placed.

$\frac {5} {3} x + 2 = 4- (x + 1)$

On the right side we must take into account that:

$- * + = -$

So:

$\frac {5} {3} x + 2 = 4-x-1\\\frac {5} {3} x + 2 = 3-x$

We add x to both sides of the equation:

$\frac {5} {3} x + x + 2 = 3\\\frac {5 * 1 + 3 * 1} {3} x + 2 = 3\\\frac {5 + 3} {3} x + 2 = 3\\\frac {8} {3} x + 2 = 3$

We subtract 2 from both sides of the equation:

$\frac {8} {3} x = 3-2\\\frac {8} {3} x = 1$

We multiply by 3 on both sides of the equation:

$8x = 3$

We divide by 8 on both sides of the equation:

$x = \frac {3} {8}$

Thus, the solution of the equation is:

$x = \frac {3} {8}$

Answer:

$x = \frac {3} {8}$

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Hatshy [7]

Answer:

Step-by-step explanation:

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Givens

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Therefore the two triangles are congruent by SAS

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2 years ago

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STALIN [3.7K]

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3 years ago

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max2010maxim [7]

Answer:

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Step-by-step explanation:

we know that

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$A=P(1+\frac{r}{n})^{nt}$

where

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substitute in the formula above

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