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3 years ago

Which mixed number is equivalent to this decimal? 8.00027

1 answer:

3 0

Rewrite the decimal number as a fraction with 1 in the denominator8.00027=8.0002718.00027=8.000271Multiplying by 1 to eliminate 5 decimal places, we multiply top and bottom by 105 = 1000008.000271×100000100000=8000271000008.000271×100000100000=800027100000Simplifying the improper fraction,=827100000=827100000In conclusion,8.00027=827100000

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Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi

Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

$cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}$

Now, we know the following identities:

$sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}$

Now, the values are:

$sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}$

Sine value is positive and cos, tan values are negative.

It can be clearly observed that $\theta$ is in 2nd quadrant.

2nd quadrant means, the value of $x$ will be negative and $y$ will be positive.

Let us have a look at the value of $tan\theta$ :

$tan\theta = \dfrac{Perpendicular}{Base}\\OR\\tan\theta = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5$

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

8 0

3 years ago

Which linear inequality is represented by the graph?

bezimeni [28]

The answer is the first one

5 0

3 years ago

Read 2 more answers

What is the value of 2×[34−5×(3+1)] ?

spayn [35]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{28}}}}}$

Step-by-step explanation:

Use BODMAS rule :

Bracket , Of , Division , Multiplication , Addition , Subtraction

$\sf{2 \times [ 34 - 5 \times (3 + 1) ] }$

Add the numbers : 3 and 1

$\dashrightarrow{ \sf{2 \times [ 34 - 5 \times 4 ] }}$

Multiply the numbers : 5 and 4

$\dashrightarrow{ \sf{2 \times [ 34 - 20 \: ] }}$

Subtract 20 from 34

$\dashrightarrow{ \sf{2 \times 14}}$

Multiply the numbers : 2 and 14

$\dashrightarrow{ \sf{28}}$

Hope I helped!

Best regards! :D

4 0

3 years ago

. Solve the given equation 3m+7 ____=13/6 5m-4

oee [108]

Answer is X=2
Merry Christmas

5 0

3 years ago

Read 2 more answers

Consider M, N, and P. collinear points on MP.

Kobotan [32]

Answer:

See explanation

Step-by-step explanation:

There are three possible cases:

1. Point N lies between M and P, then MN + NP = MP. Consider needed difference:

$\dfrac{MN}{NP}-\dfrac{MN}{MP}=\dfrac{MN}{NP}-\dfrac{MN}{MN+NP}=\dfrac{MN(MN+NP)-MN\cdot NP}{NP(MN+NP)}=\\ \\=\dfrac{MN^2+MN\cdot NP-MN\cdot NP}{NP(MN+NP)}=\dfrac{MN^2}{NP(MN+NP)}$

2. Point N lies to the right from point P, then MP + PN = MN. Consider needed difference:

$\dfrac{MN}{NP}-\dfrac{MN}{MP}=\dfrac{MP+PN}{NP}-\dfrac{MP+PN}{MP}=\dfrac{MP}{NP}+1-1-\dfrac{NP}{MP}=\dfrac{MP^2-NP^2}{NP\cdot MP}$

3. Point N lies to the left from point M, then NM + MP = NP. Consider needed difference:

$\dfrac{MN}{NP}-\dfrac{MN}{MP}=\dfrac{MN}{MN+MP}-\dfrac{MN}{MP}=\dfrac{MN\cdot MP-MN(MN+MP)}{MP(MN+MP)}=\\ \\=\dfrac{MN\cdot MP-MN^2-MN\cdot MP}{MP(MN+MP)}=\dfrac{-MN^2}{MP(MN+MP)}$

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3 years ago