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harina [27]
2 years ago
14

Write 2.06 X 1010 in standard form.​

Mathematics
1 answer:
pav-90 [236]2 years ago
4 0

Answer:

20,600,000,000

Step-by-step explanation:

When writing a number in standard notation from scientific notation, counting decimal places is important. In this case, the exponent of 10 is 10. That means the decimal place must be moved 10 places; since it is positive the decimal place should be moved to the right. Finally, fill any empty spaces when moving the decimal point with zeros.

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(cotx+cscx)/(sinx+tanx)
Butoxors [25]

Answer:   \bold{\dfrac{cot(x)}{sin(x)}}

<u>Step-by-step explanation:</u>

Convert everything to "sin" and "cos" and then cancel out the common factors.

\dfrac{cot(x)+csc(x)}{sin(x)+tan(x)}\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)}{1}+\dfrac{sin(x)}{cos(x)}\bigg)\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg[\dfrac{sin(x)}{1}\bigg(\dfrac{cos(x)}{cos(x)}\bigg)+\dfrac{sin(x)}{cos(x)}\bigg]\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)cos(x)}{cos(x)}+\dfrac{sin(x)}{cos(x)}\bigg)

\text{Simplify:}\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)cos(x)+sin(x)}{cos(x)}\bigg)\\\\\\\text{Multiply by the reciprocal (fraction rules)}:\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)cos(x)+sin(x)}\bigg)\\\\\\\text{Factor out the common term on the right side denominator}:\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)(cos(x)+1)}\bigg)

\text{Cross out the common factor of (cos(x) + 1) from the top and bottom}:\\\\\bigg(\dfrac{1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)}\bigg)\\\\\\\bigg(\dfrac{1}{sin(x)}\bigg)\times cot(x)}\qquad \rightarrow \qquad \dfrac{cot(x)}{sin(x)}

6 0
3 years ago
Lester orders a book for $35. He must pay a shipping charge of 12%. Show how to find 12% of $35 by using benchmark percents, the
Elis [28]

Answer:

$4.2

Step-by-step explanation:

1. 12%=0.12

2. 0.12 of $35 = 0.12 × $35

3. = $4.2

8 0
2 years ago
The walking distance that is saved by cutting across the lot is
dezoksy [38]
Using the Pythagorean Theorem, we have x^2+(x+2)^2=51^2, and
x^2+ x^2+4x+4=2x^2+4x+4=51^2. After that, we subtract 51^2 from both sides to get 2x^2+4x-2597. Using the quadratic formula (x=(-b+-sqrt(b^2-4ac))/2a in ax^2+bx+c), we get around 35 for x. We did + instead of minus after b due to that it can't be negative! x+2=37, so you save 35+37-51=around 21 feet
8 0
2 years ago
What fraction of 60 is… Chapter Reference 24
sergij07 [2.7K]
Answer:<span> 3/5</span>

Explanation: <span>60/100</span> = <span>6/10</span> = <span>3<span>/5</span></span>
7 0
3 years ago
Steps to solve a two step equation
Kobotan [32]
I'm not entirely sure about some of these because there could be multiple answers, i think. i'll just leave the ones i can't help you with blank.

1) Begin to (isolate) the (variable) by eliminating the (constant). To eliminate the constant, you want to make it (cancel?) because ___+___=___)
2) (Balance) your equation by doing the exact same thing in the opisite side of the (equal sign). 
3) Finish (isolating) the (variable) by eliminating the (coefficient). To eliminate the coefficient, you want to make it (cancel?) because ___x___=___,
4) (Balance) your equation by doing the exact same thing on the opposite side of the (equal sign). 
5) Check your answer by (plugging) it in or the _____. 

honestly, i find it really amusing that they found a way to break a TWO-step equation into 5 steps ?? but i hope this helps a little!!
7 0
2 years ago
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