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gizmo_the_mogwai [7]
3 years ago
13

6,870,000,000,000,000 appear in scientific notation on a calculator screen?

Mathematics
2 answers:
vazorg [7]3 years ago
6 0
6.87 times 10 to the power of 15
alina1380 [7]3 years ago
4 0
This answer would be 6.87
You might be interested in
1. Derive the half-angle formulas from the double
lilavasa [31]

1) cos (θ / 2) = √[(1 + cos θ) / 2], sin (θ / 2) = √[(1 - cos θ) / 2], tan (θ / 2) = √[(1 - cos θ) / (1 + cos θ)]

2) (x, y) → (r · cos θ, r · sin θ), where r = √(x² + y²).

3) The point (x, y) = (2, 3) is equivalent to the point (r, θ) = (√13, 56.309°). The point (r, θ) = (4, 30°) is equivalent to the point (x, y) = (2√3, 2).

4) The <em>linear</em> function y = 5 · x - 8 is equivalent to the function r = - 8 / (sin θ - 5 · cos θ).

<h3>How to apply trigonometry on deriving formulas and transforming points</h3>

1) The following <em>trigonometric</em> formulae are used to derive the <em>half-angle</em> formulas:

sin² θ / 2 + cos² θ / 2 = 1                      (1)

cos θ = cos² (θ / 2) - sin² (θ / 2)           (2)

First, we derive the formula for the sine of a <em>half</em> angle:

cos θ = 2 · cos² (θ / 2) - 1

cos² (θ / 2) = (1 + cos θ) / 2

cos (θ / 2) = √[(1 + cos θ) / 2]

Second, we derive the formula for the cosine of a <em>half</em> angle:

cos θ = 1 - 2 · sin² (θ / 2)

2 · sin² (θ / 2) = 1 - cos θ

sin² (θ / 2) = (1 - cos θ) / 2

sin (θ / 2) = √[(1 - cos θ) / 2]

Third, we derive the formula for the tangent of a <em>half</em> angle:

tan (θ / 2) = sin (θ / 2) / cos (θ / 2)

tan (θ / 2) = √[(1 - cos θ) / (1 + cos θ)]

2) The formulae for the conversion of coordinates in <em>rectangular</em> form to <em>polar</em> form are obtained by <em>trigonometric</em> functions:

(x, y) → (r · cos θ, r · sin θ), where r = √(x² + y²).

3) Let be the point (x, y) = (2, 3), the coordinates in <em>polar</em> form are:

r = √(2² + 3²)

r = √13

θ = atan(3 / 2)

θ ≈ 56.309°

The point (x, y) = (2, 3) is equivalent to the point (r, θ) = (√13, 56.309°).

Let be the point (r, θ) = (4, 30°), the coordinates in <em>rectangular</em> form are:

(x, y) = (4 · cos 30°, 4 · sin 30°)

(x, y) = (2√3, 2)

The point (r, θ) = (4, 30°) is equivalent to the point (x, y) = (2√3, 2).

4) Let be the <em>linear</em> function y = 5 · x - 8, we proceed to use the following <em>substitution</em> formulas: x = r · cos θ, y = r · sin θ

r · sin θ = 5 · r · cos θ - 8

r · sin θ - 5 · r · cos θ = - 8

r · (sin θ - 5 · cos θ) = - 8

r = - 8 / (sin θ - 5 · cos θ)

The <em>linear</em> function y = 5 · x - 8 is equivalent to the function r = - 8 / (sin θ - 5 · cos θ).

To learn more on trigonometric expressions: brainly.com/question/14746686

#SPJ1

4 0
2 years ago
Can you please do 2 and 3
Masja [62]

Answers:

<h2>2. 17.5</h2><h2>3a. 6</h2><h2>3b. greater</h2><h2>3c. add 1 to it</h2>

Step-by-step explanation:

When rounding, look at the digit that is ls to the right beside the digit in the place value to round to. If the number is greater than or equal to 5, round the digit in the place value to round to up one. If it is less than 5, do not. Let's look at some examples.

EXAMPLE 1:

23.123 round to the nearest tenth.

23.<u>1</u>23 tenths place is underlined

Digit after tenths is bold. If greater than or equal to 5, round underlined digit up. If less than 5, don't change underlined digit.

The bold number is a 2, which is less than 5, so the underlined number doesn't change.

ANSWER TO EXAMPLE 1: 23.1

EXAMPLE 2:

57.54 round to the nearest whole number

5<u>7</u>.54 Nearest whole place value is underlined

Digit after underlined digit is bold. If greater than or equal to 5, round underlined digit up one. If bold digit is less than 5, don't change the underlined digit.

The bold number is a 5, which equals 5, so the underlined number increases by 1.

ANSWER TO EXAMPLE 2: 58

Now, let's examine yours, now that we know how to round

17.46 round to the nearest tenth

17.<u>4</u>6 tenths place is underlined

Digit after tenths is bold. If greater than or equal to 5, round underlined digit up by one. If bold digit is less than 5, don't change the underlined digit.

The bold number is a 6, which is greater than 5, so the underlined number increases by 1.

ANSWER TO QUESTION: 17.5

Hope this helped :)

<em>PLEASE MARK BRAINLIEST</em>

8 0
3 years ago
Find the distance between the points (4, 3) and (0, 3).
Salsk061 [2.6K]
The correct answer is B.) 4

7 0
3 years ago
HELP HELP HELP PLSSS
FromTheMoon [43]

Answer:

option. c. 720°

.....................

5 0
2 years ago
Read 2 more answers
Arjun can type 40 words per minute.Dalia can type 55 words per minute.If Arjun and Dalia each type for 30 minutes,about how many
Citrus2011 [14]
♥ Solve:
(Arjun) 40*30=1200
(Dalia) 55*30=1650
Now subtract
1650-1200=450.
That means that Dalia will type 450 minutes more. 
Final answer: 450 

8 0
3 years ago
Read 2 more answers
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