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4 years ago

What is the simplified value of the expression below?

Mathematics

2 answers:

Iteru [2.4K]4 years ago

7 0

Use PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). Solve the problem in that order.

In this case, you would first solve the parentheses (6.3-4) to get 2.3. The problem is now 8.2+4.1(2.3). Next, multiply 4.1*2.3 to get 9.43. The problem is now 8.2+9.43. After adding, the only thing that remains is 17.63.

So, the answer is B 17.63.

Hope this helps! :)

Vsevolod [243]4 years ago

5 0

The answer is B. "17.63."

Following the steps of pemdas, you would solve what's in the parentheses first.

8.2+4.1(6.3-4)

After that, multiply.

8.2+4.1(2.3)

Then complete the addition.

8.2+9.43

17.63

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Answer:

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$tan\Theta =\frac{3}{4}$

Step-by-step explanation:

Given : sin θ = 3/5

To Find : value of cos θ and tan θ

Solution :

use the identity:

$sin^{2}\Theta +cos^{2}\Theta =1$

putting value of sin θ

⇒ $(\frac{3}{5})^{2} + cos^{2}\Theta =1$

⇒ $\frac{9}{25} +cos^{2}\Theta =1$

⇒ $cos^{2}\Theta = 1-\frac{9}{25}$

⇒ $cos^{2}\Theta = \frac{16}{25}$

⇒ $cos\Theta = \sqrt{\frac{16}{25}}$

⇒ $cos\Theta =\frac{4}{5}$

Thus , $cos\Theta =\frac{4}{5}$

Now to find value of tan θ

Since we know that

⇒ $tan\Theta =\frac{sin\Theta }{cos\Theta }$ (identity)

⇒ $tan\Theta =\frac{\frac{3}{5} }{\frac{4}{5} }$

⇒ $tan\Theta =\frac{3}{5}\div \frac{4}{5}$

⇒ $tan\Theta =\frac{3}{5}\times \frac{5}{4}$

⇒ $tan\Theta =\frac{3}{4}$

Thus , the value of

$tan\Theta =\frac{3}{4}$

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