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2 years ago

HELP ASAP -5 - k = -12 K=?

Mathematics

2 answers:

alexandr1967 [171]2 years ago

6 0

The answer is K= 7 because
-5-7=-12

pav-90 [236]2 years ago

5 0

-5-k=-12
To solve this start by getting all your numbers separate from K
To do this add 5 to both sides
-k=-7
Then multiply both sides by -1 to make k positive which leaves you with k=7 which is also your answer

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2 years ago

Need help with trigonometry

vovangra [49]

Answer:

$\sf \tan(A) & =\dfrac{9\sqrt{22}}{44}$

Step-by-step explanation:

If angle C is the right angle, then side c is the hypotenuse.

Use Pythagoras' Theorem $a^2+b^2=c^2$ to find the length of side a:

Given:

b = 2√22
c = 13

$\implies a^2+(2 \sqrt{22})^2=13^2$

$\implies a^2+88=169$

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$\implies a=\sqrt{81}$

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Tan Trig Ratio

$\sf \tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle

Given:

$\theta$ = A
O = side opposite angle A = a = 9
A = side adjacent angle A = b = 2√22

$\begin{aligned}\implies \sf \tan(A) & =\dfrac{9}{2\sqrt{22}}\\\\ & =\dfrac{9}{2\sqrt{22}} \times \dfrac{\sqrt{22}}{\sqrt{22}}\\\\ & = \dfrac{9\sqrt{22}}{44} \end{aligned}$