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2 years ago

What is -4/5 ÷ (-7/6) in simplest form ??

Mathematics

1 answer:

Orlov [11]2 years ago

3 0

Answer:

$\frac{24}{35}$

Step-by-step explanation:

1) Remove parentheses.

$- \frac{4}{5} \div - \frac{7}{6}$

2) Use this rule: a ÷ b/c = a × c/b.

$- \frac{4}{5} \times \frac{6}{ - 7}$

3) Use this rule: a/b × c/d = ac/bd.

$- \frac{4 \times 6}{5 \times - 7}$

4) Simplify 4 × 6 to 24.

$- \frac{24}{5 \times - 7}$

5) Simplify 5 × -7 to -35.

$- \frac{24}{ - 35}$

6) Move the negative sing to the left.

$- ( - \frac{24}{35} )$

7) Remove parentheses.

$\frac{24}{35}$

Therefor, the answer is 24/35.

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Calculate the value of k=xy

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Answer:

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3 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

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

$\implies a^2+88=169$

$\implies a^2=81$

$\implies a=\sqrt{81}$

$\implies a=9$

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

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