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Artyom0805 [142]
3 years ago
11

Which equation can be used to find the measurement of ∠C? To the nearest degree, what is the measurement of ∠A? A) 5sin∠C = 2; 2

4° B) 29 sin∠C = 2; 68° C) 5sin∠C = 29 ; 22° Eliminate D) 29 sin∠C = 2; 22°

Mathematics
2 answers:
finlep [7]3 years ago
8 0

Answer:

Option B

\sqrt{29}sin(C)=2  

A=68\°

Step-by-step explanation:

see the attached figure to better understand the problem

Part A) Which equation can be used to find the measurement of ∠C?

we know that

In the right triangle ABC

sin(C)=\frac{2}{\sqrt{29}}

therefore

\sqrt{29}sin(C)=2  

Part B) What is the measurement of ∠A?

In the right triangle ABC

tan(A)=\frac{5}{2}

A=arctan(\frac{5}{2})=68\°

egoroff_w [7]3 years ago
7 0
First guy is incorrect.Answer is actually B

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<h3><u>Solution:</u></h3>

Given that,

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To find: function the represent the balance in the account as a function of time t

Given is simple interest account

The formula for simple interest is given as:

S.I = \frac{ prt}{100}

Where, "p" is the principal and "r" is the rate of interest and "t" is the number of years

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Here in this question, Carmen deposits $1000

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Thus we can frame a function as:

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7 0
3 years ago
Prove :<br>sin²θ + cos²θ = 1<br><br><br>thankyou ~​
Gnom [1K]

Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

\sf\longrightarrow sin^2\theta + cos^2\theta = 1

Imagine a right angled triangle with one of its acute angle as \theta .

  • The side opposite to this angle will be perpendicular .
  • Also we know that ,

\sf\longrightarrow sin\theta =\dfrac{p}{h} \\

\sf\longrightarrow cos\theta =\dfrac{b}{h}

And by Pythagoras theorem ,

\sf\longrightarrow h^2 = p^2+b^2 \dots (i)

Where the symbols have their usual meaning.

Now , taking LHS ,

\sf\longrightarrow sin^2\theta +cos^2\theta

  • Substituting the respective values,

\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\

\sf\longrightarrow \dfrac{p^2}{h^2}+\dfrac{b^2}{h^2}\\

\sf\longrightarrow \dfrac{p^2+b^2}{h^2}

  • From equation (i) ,

\sf\longrightarrow\cancel{ \dfrac{h^2}{h^2}}\\

\sf\longrightarrow \bf 1 = RHS

Since LHS = RHS ,

Hence Proved !

I hope this helps.

5 0
2 years ago
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