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disa [49]
3 years ago
6

What is 217.33 rounded to the nearest tenth

Mathematics
2 answers:
jeka943 years ago
6 0
217.30 is your answer
DENIUS [597]3 years ago
4 0
217.3  hope its helpful for you
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HELP! Find the value of sin 0 if tan 0 = 4; 180 < 0< 270
BabaBlast [244]

Hi there! Use the following identities below to help with your problem.

\large \boxed{sin \theta = tan \theta cos \theta} \\  \large \boxed{tan^{2}  \theta + 1 =  {sec}^{2} \theta}

What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.

\large{ {4}^{2}  + 1 =  {sec}^{2} \theta } \\  \large{16 + 1 =  {sec}^{2} \theta } \\  \large{ {sec}^{2}  \theta = 17}

As we know, sec²θ = 1/cos²θ.

\large \boxed{sec \theta =   \frac{1}{cos \theta} } \\  \large \boxed{ {sec}^{2}  \theta =  \frac{1}{ {cos}^{2}  \theta} }

And thus,

\large{  {cos}^{2}  \theta =  \frac{1}{17}}   \\ \large{cos \theta =  \frac{ \sqrt{1} }{ \sqrt{17} } } \\  \large{cos \theta =  \frac{1}{ \sqrt{17} }  \longrightarrow  \frac{ \sqrt{17} }{17} }

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

\large{cos \theta =   \cancel\frac{ \sqrt{17} }{17} \longrightarrow cos \theta =  -  \frac{ \sqrt{17} }{17}}

Then use the Identity of sinθ = tanθcosθ to find the sinθ.

\large{sin \theta = 4 \times ( -  \frac{ \sqrt{17} }{17}) } \\  \large{sin \theta =  -  \frac{4 \sqrt{17} }{17} }

Answer

  • sinθ = -4sqrt(17)/17 or A choice.
4 0
3 years ago
Which property is demonstrated by the equation (5 + a) + 3 = (a + 5) + 3?
sineoko [7]

Answer:

Communitive Property

Step-by-step explanation:

Commutative property = 2 + 3 = 3 + 2 or 2(3) = 3(2)

Associative Property = (2 x 3) 5 = 2 (3 x 5) or (2 + 3) + 5 = 2 + (3 + 5)

Inverse Property = 2 + (-2) = 0 or (2/1)(½) = 1

Basic Definitions:

<u><em>Commutative Property</em></u> - Gives you the ability to switch the order of the numbers in an expression.

<u><em>Associative Property</em></u> - Let's you move the parenthesis in an expression but not the numbers.

<u><em>Inverse</em></u> - Uses numbers like 0 and 1.

Using these basic definitions and examples, we can summarize that the best answer would be <u>Communitive Property</u>

<u></u>

4 0
3 years ago
Write the number, 81.402 in expanded form using powers of ten.
stich3 [128]

Answer:

the answer is 81.402 in expanded form using the powers of ten = (8 x 10^1) + (1 x 10^0) + (4/10^1) + (0/10^2) + (2/10^3)

Step-by-step explanation:

5 0
3 years ago
Helpppppppppppppppppppppppppppppppppppppppp
Anit [1.1K]

When we have exponents like such (x^-6)^-2 , the numbers are multiplying, so we have x^12, then we take that value and, because it is dividing with the same base, we substract the numbers, so x^12-(-4) = x^16.

5 0
4 years ago
Calculus question finding y=mx+b. [File attached] 85 points for the first correct answer.
Zolol [24]
The file attached is blank dear!
4 0
3 years ago
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