What’s the correct answer for this?

Mathematics

1 answer:

Alekssandra [29.7K]4 years ago

6 0

Answer:

CO = 15

Step-by-step explanation:

Since it's a right Angled Triangle (because of the tangent) so using Pythagoras theorem

OC² = CW²+OW²

CO²=(9)²+(12)²

CO²=81+144

CO²=225

Taking square root on both sides

CO = 15

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Verify the identity. <br><br> tan x plus pi divided by two = -cot x

kogti [31]

Recall that sin(π/2) = 1, and cos(π/2) = 0,

$\bf \textit{Sum and Difference Identities}
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sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta)
\\\\
sin(\alpha - \beta)=sin(\alpha)cos(\beta)- cos(\alpha)sin(\beta)
\\\\
cos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta)
\\\\
cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta)\\\\
-------------------------------\\\\
$

$\bf tan\left(x+\frac{\pi }{2} \right)=-cot(x)\\\\
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tan\left(x+\frac{\pi }{2} \right)\implies \cfrac{sin\left(x+\frac{\pi }{2} \right)}{cos\left(x+\frac{\pi }{2} \right)}
\\\\\\
\cfrac{sin(x)cos\left(\frac{\pi }{2} \right)+cos(x)sin\left(\frac{\pi }{2} \right)}{cos(x)cos\left(\frac{\pi }{2} \right)-sin(x)sin\left(\frac{\pi }{2} \right)}\implies \cfrac{sin(x)\cdot 0~~+~~cos(x)\cdot 1}{cos(x)\cdot 0~~-~~sin(x)\cdot 1}
\\\\\\
\cfrac{cos(x)}{-sin(x)}\implies -cot(x)$

7 0

3 years ago

Tyrell katy and lucy were eating grapes. Tyrell ate twice as many grape as katy, and lucy ate half as many grapes as katy. If ka

Vesnalui [34]

Answer:

21 grapes.

Step-by-step explanation:

We have been given that Tyrell ate twice as many grape as Katy. Lucy ate half as many grapes as Katy. Katy ate 6 grapes. We are asked to find the total number of grapes that all of them eat in all.

First of all, we will find twice of 6 grapes to find number of grapes eaten by Tyrell.

$\text{Grapes eaten by Tyrell}=2\times 6$