MATHEMATICS HIGH SCHOOL

Find an exact value cos(19pi/12)

Answers

Answer 1

Answer:

$cos\left ( (9\pi)/(12)\right )=\frac{\sqrt{2-√(3)}}{2}$

Step-by-step explanation:

We know that

cos 2x = 2cos²x - 1

So we have

$cosx=\sqrt{(1+cos2x)/(2)}$

Substituting $x=(19\pi)/(12)$

$cos\left ( (19\pi)/(12)\right )=\sqrt{(1+cos2\left ( (19\pi)/(12)\right ))/(2)}\n\ncos\left ( (19\pi)/(12)\right )=\sqrt{(1+cos\left ( (19\pi)/(6)\right ))/(2)}\n\ncos\left ( (9\pi)/(12)\right )=\sqrt{(1+cos570)/(2)}\n\ncos\left ( (9\pi)/(12)\right )=\sqrt{(1-(√(3))/(2))/(2)}\n\ncos\left ( (9\pi)/(12)\right )=\sqrt{(2-√(3))/(4)}\n\ncos\left ( (9\pi)/(12)\right )=\frac{\sqrt{2-√(3)}}{2}$

$cos\left ( (9\pi)/(12)\right )=\frac{\sqrt{2-√(3)}}{2}$

Answer 2

Answer: 19 π / 12 = 19 * 180° / 12 = 285 °
cos ( 19 π / 12 ) = cos 285° = cos ( - 75° ) = cos 75°
cos 75° = cos ( 45° + 30° ) = cos 45° cos 30° - sin 45° sin 30° =
= ( √2 / 2 · √3/2 ) - ( √2 / 2 · 1/2 ) = √6/4 - √2/4 =
= ( √6 - √2 )/ 4

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a boat cost 12,050 and decreases in value by 12% per year. How much will the boat be worth after 9 years

Answers

Given:
Cost = 12,050
depreciation rate = 12%

year beginning value dep.rate depreciation ending value
1   12,050.00 12% 1,446.00    10,604.00
2   10,604.00 12% 1,272.48      9,331.52
3   9,331.52   12% 1,119.78      8,211.74
4   8,211.74   12%   985.41      7,226.33
5   7,226.33   12%   867.16      6,359.17
6   6,359.17   12%   763.10      5,596.07
7   5,596.07   12% 671.53      4,924.54
8   4,924.54   12%   590.94      4,333.60
9   4,333.60   12%   520.03      3,813.56

The boat will be worth $3,813.56 after 9 years.

Depreciation = beginning cost x depreciation rate
Ending cost = beginning cost - depreciation

Depreciation is the wear and tear of an object that decreases its value.

Select the term that best describes the statement.All lines are straight or a triangle has four sides.

A.) conjunction
B.) disjunction
C.) negation
D.) conditional

Answers

Answer:

Option B is correct.

Step-by-step explanation:

Given the statement

All lines are straight or a triangle has four sides.

we have to choose the correct word for the above statement.

Conjunction statement is a compound statement formed by joining two statement with connector AND and Disjunction statement with connector OR.

Negation statement is the opposite of given statement.

Conditional statement is if-then statement.

The given statement is the compound statement formed by joining two statements with connector OR

⇒ The given statement is disjunction

Option B is correct.

the answer I would go with is A.

Which is bigger three quarters or eleven sixteenths

Answers

3/4 is .75
and
11/16 is .6875
so
The first one is greater
:)

$(3)/(4)=(3 * 4)/(4 * 4)=(12)/(16) \n \n(11)/(16) \n \n12>11 \Rightarrow (12)/(16) > (11)/(16) \Rightarrow (3)/(4)> (11)/(16)$

3/4 is bigger.

Bob buys a t-shirt for $7.45 he pays with a 20 bill. how much change will he get?im in 5 grade im 10 years old can you solve this for me please

Answers

Answer:

$12.55

Step-by-step explanation:

Subtract! 20 - 7.45

The table below shows the number of grams of carbohydrates, x, andthe number of Calories, y, of six different foods.
Carbohydrates (x) Calories (y)
8 120
9.5 138
10 147
6 88
7 108
4 62
Which equation best represents the line of best fit for this set of data?
(1) y = 15x (3) y = 0.1x - 0.4
(2) y = 0.07x (4) y = 14.1x + 5.8

Answers

Final answer:

The equation that best represents the line of best fit for the given data set is likely equation (1) y = 15x, as it renders values of y that closely match those in the original table when corresponding x values are substituted.

Explanation:

To determine which equation best represents the line of best fit for the given set of data, we need to find an equation that fits the relationship between the number of grams of carbohydrates (x) and the number of Calories (y).

Looking at the data, it appears that y increases as x increases, indicating a positive linear relationship. In other words, as the number of carbohydrates increase, the number of calories also increase. We can examine this by calculating the ratio of y to x for each pair and check for consistency.

The line of best fit represents this relationship most accurately when the equation provides values that are closest to the actual y values in the table when the corresponding x values are substituted into the equation.

By this criterion, if you substitute the values of x in the equation (1) y = 15x, you'll notice that the values of y you get are very close to those given in the table, making it a strong contender for the line of best fit in this scenario.

Learn more about Line of Best Fit here:

brainly.com/question/29250235

#SPJ12

The equation that represents the line of best fit is y = 14.1x + 5.8

Finding the equation that represents the line of best fit

From the question, we have the following parameters that can be used in our computation:

The table of values

Using a graphing tool, we have the following summary

Sum of X = 44.5
Sum of Y = 663
Mean X = 7.4167
Mean Y = 110.5
Sum of squares (SSX) = 25.2083
Sum of products (SP) = 355.75

The regression equation is represented as

y = bx + a

Where

b = SP/SSX = 355.75/25.21 = 14.1

a = MY - bMX = 110.5 - (14.11*7.42) = 5.8

So, we have

y = 14.1x + 5.8

Hence, the equation is y = 14.1x + 5.8

Answers

Answer:

y = -x + 4

Step-by-step explanation:

x + y = 6 => y = -x + 6

The line that parallel to y = -x + 6 has same slope so m = -1

Using coordinates (-4,8)

y = mx + b

8 = (-1)(-4) + b

8 = 4 + b

b = 4

then y = -x + 4

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