simplify 9c4

combinations

The six trigonometric functions related to (x, y) = (20, 48): sin θ = 12/13, cos θ = 5/13, tan θ = 12/5, cot θ = 5/12, sec θ = 13/5, csc θ = 13/12.

Given the coordinates in rectangular form, that is, (x, y), where each component belongs to an orthogonal axis of reference. By trigonometry we have six functions to be calculated:

[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex]     (1)

[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex]     (2)

[tex]\tan \theta = \frac{\sin \theta}{\cos \theta}[/tex]     (3)

[tex]\cot \theta = \frac{1}{\tan \theta}[/tex]     (4)

[tex]\sec \theta = \frac{1}{\cos \theta}[/tex]     (5)

[tex]\csc \theta = \frac{1}{\sin \theta}[/tex]     (6)

If we know that x = 20 and y = 48, then the six trigonometric functions are, respectively:

[tex]\sin \theta = \frac{48}{\sqrt{20^{2}+48^{2}}}[/tex]

[tex]\sin \theta = \frac{12}{13}[/tex]

[tex]\cos \theta = \frac{20}{\sqrt{20^{2}+48^{2}}}[/tex]

[tex]\cos \theta = \frac{5}{13}[/tex]

[tex]\tan \theta = \frac{12}{5}[/tex]

[tex]\cot \theta = \frac{5}{12}[/tex]

[tex]\sec \theta = \frac{13}{5}[/tex]

[tex]\csc \theta = \frac{13}{12}[/tex]

The six trigonometric functions related to (x, y) = (20, 48): sin θ = 12/13, cos θ = 5/13, tan θ = 12/5, cot θ = 5/12, sec θ = 13/5, csc θ = 13/12. [tex]\blacksquare[/tex]

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[tex] \frac{1}{7} \div 3[/tex]

[tex] \frac{1}{7} \div \frac{3}{1} [/tex]

[tex] \frac{1 \times 1}{7 \times 3} [/tex]

[tex] = \frac{1}{21} [/tex]

The experimental and theoretical probability for each result are:

                                    Theoretical  Experimental

P(5)                                      1/6              7/40

P( 1 or 6)                               1/3              7/20

P(no more than 4)                2/3             21/40

P(greater than 2)                  2/3                7/10

Probability determines the chances that an event would happen. Experimental probability is the probability of an event happening based on the result of an experiment that has been carried out multiples time.

Theoretical probabilities:

P(5) = number of sides with 5 / total number of sides = 1/6

P( 1 or 6)  = number of sides with 1 / total number of sides + number of sides with 6 / total number of sides  = 1/6 + 1/6 = 1/3                  

P(no more than 4)   = number of sides that is no more than 4 / total number of sides  = 4/6 = 2/3

P(greater than 2) = number of sides greater tha 2 / total number of sides   = 4/6 = 2/3      

Experimental probabilities:

P(5) =  number of times there was a result of 5 / total number of times the die was rolled = 7/40

P( 1 or 6) = (number of times there was a result of 1 / total number of times the die was rolled) + (number of times there was a result of 6 / total number of times the die was rolled )

2/40 + 12/40 = 14/40 = 7/20    

P(no more than 4) = sum of results no more than 4 / total number of times the die was rolled = ( 2 + 10 + 5 + 4) = 21/40

P(greater than 2) = sum of results greater than 2 / total number of times the die was rolled = (7 + 12 +5 + 4) / 40 = 28/40 = 14/20

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Answer:

120

Step-by-step explanation:

Answer:

g(x)

Step-by-step explanation:

y-intersect for h(x) is -11 as shown in the table, where the x value is 0

y-intersect for f(x) you find out by subbing 0 in the place of x and get the y intersect value of 2.99

y-intersect of g(x) is 3 as shown in the drawing

as seen across the three y-intersects, the value of g(x) y-intesect is the greatest

Answer:

- 5/2

Step-by-step explanation:

Arrange this line equation into y = mx + b form   m = slope

 y = 2/5x + 12/5    

  then perpindicular line = - 1/m   = - 1/ (2/5) = - 5/2

Answer:

i think it's c

Step-by-step explanation:

sorry if I'm wrong

The total weight of the 14 packages that Melissa weighed is gotten as; Total weight = 42 pounds

We are given;

Mean weight = 3

Now,formula for mean is;

Mean = total/sample size

We are given;

Sample size = 14

Thus;

3 = total/14

Total = 3 * 14

Total weight = 42 pounds

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Answer:

x+10

Step-by-step explanation:

Answer:

its B , 4 11/20

Step-by-step explanation:

Answer:

The 2nd Answer Choice

Step-by-step explanation:

You make sure that the fractions have the same denominator, and then you subtract them.

perimeter of paralleogram(p) = 2 ( a + b ) = 2 ( 44 + 66) = 2 × 110 = 220 cm = 220 × 10 = 2200 millimeter

Answer:

3

Step-by-step explanation:

find value at  12 =12

find value at 10 =    6

 so it changes   + 6    for a change from 10 to 12

6/2 = 3  

Answer:

3/8

Step-by-step explanation:

HHT,THH, and TTH are the 3 outcomes with 1 head out of 8 total outcomes

Answer:

Step-by-step explanation:

A megaliter is 10,000 times larger than a hectoliter.

The kiloliter is 10^3 times greater than a liter while the hectoliter is 10^4 times greater than the centiliter.

An equation is an expression that shows the relationship between two or more variables.

1 mega liter = 10^6 Liter

1 hectoliter = 10^2 Liter.

Hence, a megaliter is 10,000 (10^6/10^2) times larger than a hectoliter

The kiloliter is 10^3 times greater than a liter while the hectoliter is 10^4 times greater than the centiliter.

Uncle Reynald's age is given by the expression 3(12 + 5) - 4.

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Answer:

the first one is diffrence

2nd one is liter

3rd one 10,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

a)

First I will calculate the equation of the line that goes trough the points

C (0, 0) and (-4, 3).

y= mx + b

y = [(3-0)/ (-4 -0) ] x + 0

y = (-3/4)x  →the slope of tis line is (-3/4)

The slope of line l is the negative reciprocal of (-3/4) the slop of line that goes trough points C (0, 0) and (-4, 3) because the lines are ⊥.  

Slope of line l is 4/3

b)

The equation of l is

y= (4/3)x + b

for point (x= -4, y = 3) that belongs to the line l, we have

3 = (4/3) (-4) + b

3 = (-16/3) + b

3 + (16/3) = b

(9+16)/3 = b

25/3 = b

The equation of the line l in slope intercept form is :

y = (4/3)x + (25/3)

c)

The radius of circle C is the distance between C (0, 0) and (-4, 3).

d² = (x2-x1)² +(y2-y2)²

d = √(-4-0)² +(3-0)²

d = √16+ 9

d = 5 → the radius of the circle C is 5

d)

Line l intersects the y-axis at (25/3) as we previously found out.

The radius is 5.

...therefore the distance between the line l's y-intercept and the circumference of the circle is

(25/3 ) - 5  = (25 - 5·3)/3 = 10/3

Answer:

It's the 2nd one 3y2-43y over 12y2

Step-by-step explanation:

First u do a common denominator u multiply on the first side by 6y on the second side by 4 then u solve it till u get 6y2-86y over 24y2 then simplify by dividing by 2

For the given absolute value function, we have that:

y > 0 in the intervals (-∞, -3) and (-1, ∞)

y < 0 in the interval (-3, -1)

y = 0 for x = -3 and x = -1.

When the function is positive?

The function is positive when the graph is above the horizontal axis.

Here, we can see that the intervals where the graph is above the horizontal axis is are (-∞, -3) and (-1, ∞)

When the function is negative?

The function is negative when the graph is below the horizontal axis. In this case, we can see that the only negative interval is (-3, -1)

When the function is zero?

The function is equal to zero when it intercepts the x-axis, in this case, the function is zero for x = -3 and x = -1

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The dot plots is an illustration of charts and graphs

The average score of period 7 is greater than the average score of period 1

From the dot plots in the complete question, we have the following frequency tables

Period 1                                                          Period 7

Score     Students                                          Score     Students

55           1                                                         65           1

70           1                                                         75           3

75           6                                                         80         5

80           6                                                         85         6

85           2                                                         90         3

90           3                                                         95        2

95           1                                                                

The average is calculated using:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

For period 1, we have:

[tex]\bar x_1 = \frac{55 * 1 + 70 * 1 + 75 * 6 + 80 * 6 + 85 * 2 + 90 * 3 + 95 * 1}{1 + 1 + 6 + 6 + 2 + 3 + 1}[/tex]

Evaluate the sum

[tex]\bar x_1 = \frac{1590}{20}[/tex]

Evaluate the quotient

[tex]\bar x_1 = 79.5[/tex]

For period 7, we have:

[tex]\bar x_7 = \frac{65 * 1 + 75 * 3 + 80 * 5 + 85 * 6 + 90 * 3 + 95 * 2}{1 + 3 + 5 + 6 + 3 + 2}[/tex]

Evaluate the sum

[tex]\bar x_7 = \frac{1660}{20}[/tex]

Evaluate the quotient

[tex]\bar x_7 = 83[/tex]

By comparison, 83 is greater than 79.5

Hence, the average score of period 7 is greater than the average score of period 1

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Answer:

45 miles

Step-by-step explanation:

Giving Information.

From Northville To Newberry is 18 inches.

2 in -> 5 miles

The inches cancel each other out leaving it miles.

[tex]18 inches*\frac{5 miles}{2 inches} = 45 miles[/tex]

Answer: 45 miles.

Step-by-step explanation: 2 in -> 5 miles, 18 inches.

Answer:

d

Step-by-step explanation:

Volume of a tetrahedron with edge s

[tex]\\ \rm\Rrightarrow V=\dfrac{s^3}{6\sqrt{2}}[/tex]

According to question

[tex]\\ \rm\Rrightarrow V=\dfrac{4^3}{6\sqrt{2}}[/tex]

[tex]\\ \rm\Rrightarrow V=\dfrac{64}{6\sqrt{2}}[/tex]

[tex]\\ \rm\Rrightarrow V=\dfrac{32}{3\sqrt{2}}[/tex]

[tex]\\ \rm\Rrightarrow V=\dfrac{32}{4.2426406871192}[/tex]

[tex]\\ \rm\Rrightarrow V\approx 7.5425in^3[/tex]

Answer:

See below ~

Step-by-step explanation:

Volume of a tetrahedon

Solving for V

Graph

Answer:

5/8

Step-by-step explanation:

2/8 + 3/8 is 5/8

Answer:

5/8

Step-by-step explanation:

With like denominators we can operate on just the numerators:

[tex]\frac{2+3}{9}[/tex]

=[tex]\frac{5}{8}[/tex]

0.765 (100) + .06 (.0765 x 100)

76.5  + .06 (76.5)  

76.5 + 4.59 = 81.09    Chris will pay $81.09

A better way ( if you don't care to know the tax just the bottom line of what it will cost) would be to do:

0.765x x 1.06 = 76.5 x 1.06 = $81.09 too.

Why the 1 in front of the .06?  The one includes the price of the coat so you don't have to add the tax on after.

Think about it like this. When you buy something you pay (even with an employee

discount) for all of it (100%) + the tax (in this case, it's 6%)  So you pay 106% of the cost of the item.  106% = 1.06

Answer:

no solution

Step-by-step explanation:

x - 10 = x - 7/3

cancel the terms on both sides

-10 = -7/3

statement is false

no solution

Answer:

a) growth b) decay

Step-by-step explanation:

In the function f (x) = b^x when b > 1, the function represents exponential growth.

In the function f (x) = b^x when 0 < b < 1, the function represents exponential decay.

a)b=2 > 1 this function growth

b)b=0.5 < 1 this function decay

Answer:

yes, contains bias

Step-by-step explanation:

surveyor included their own opinions on chocolate ice cream being delicious and vanilla ice cream being boring.

Answer: 52 %

Step-by-step explanation: 780/1500 × 1100/1

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

780/1500 x 100 = 52%

The percentage of the amount spent on customs is 52%

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total budget = $1500

Amount spend on costumes = $780

The percentage of the amount spend on customs.

= 780/1500 x 100

= 52%

Thus,

The percentage of the amount spent on customs is 52%

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Answer:

i believe its 100*20x

Step-by-step explanation:

please no h8 i tried