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2 years ago

Help pls: maths. 15 points for it!

Mathematics

1 answer:

Svetlanka [38]2 years ago

6 0

Answer:

given below.

Step-by-step explanation:

BAC = 80 degree

AZC = 80 degree

BZE = 80 degree

ZCE = 40 degree

CZE = 40 degree

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Find the exact value of tan (arcsin (two fifths)). For full credit, explain your reasoning.

Hitman42 [59]

$\bf sin^{-1}(some\ value)=\theta \impliedby \textit{this simply means}
\\\\\\
sin(\theta )=some\ value\qquad \textit{now, also bear in mind that}
\\\\\\
sin(\theta)=\cfrac{opposite}{hypotenuse}\qquad 
\qquad 
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}\\\\
-------------------------------\\\\$

$\bf sin^{-1}\left( \frac{2}{5} \right)=\theta \impliedby \textit{this simply means that}
\\\\\\
sin(\theta )=\cfrac{2}{5}\cfrac{\leftarrow opposite}{\leftarrow hypotenuse}\qquad \textit{now let's find the adjacent side}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}$

$\bf \pm \sqrt{5^2-2^2}=a\implies \pm\sqrt{21}=a
\\\\\\
\textit{we don't know if it's +/-, so we'll assume is the + one}\quad \sqrt{21}=a\\\\
-------------------------------\\\\
tan(\theta)=\cfrac{opposite}{adjacent}\qquad \qquad tan(\theta)=\cfrac{2}{\sqrt{21}}
\\\\\\
\textit{and now, let's rationalize the denominator}
\\\\\\
\cfrac{2}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies \cfrac{2\sqrt{21}}{(\sqrt{21})^2}\implies \cfrac{2\sqrt{21}}{21}
$

7 0

3 years ago

Please help ASAP thank you

vladimir1956 [14]

Answer:

Triangle.

Step-by-step explanation:

3 0

3 years ago

Help me answer this question i will make u braileist

Serjik [45]

Answer:

Step-by-step explanation:

2x3.75x4=30

7 0

2 years ago

Can you give me the correct answers for the questions unanswered in the picture.

enyata [817]

The second one is 35 and the 3rd is 6:7 ratio

7 0

3 years ago

Read 2 more answers

The total surface area of a cube is 600 sq cm what is the length of one edge of the cube

ololo11 [35]

Answer:

4.64

Step-by-step explanation:

s = 6a^3

600=6a^3

100 = a^3

solve for a which would be 4.64

6 0

3 years ago