Find the exact value of each trigonometric function for the given angle θ.

Answer:

x=10 degrees

Step-by-step explanation:

11x+14=46+(8x-2)

11x+14=46+8x-2

3x+14=44

3x=30

x=10

Answer:

x=10

Step-by-step explanation:

180-(11x+14)=intern angle

166-11x=intern angle

166-11x+8x-2+46=180

-3x+210=180

180-210=-3x

-30=-3x

-30/-3=x

10=x

Answer:

The number of heads observed is 121.14 heads

Step-by-step explanation:

The formula for the z-score of a proportion is given as follows;

[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{pq}{n}}}[/tex]

Where:

[tex]{\hat{p}[/tex] = Sample proportion

p = Population success proportion = 0.5

q = 1 - p = 1 - 0.5 = 0.5

n = Number in of observation = 200

z = 2.99

Hence, we have;

[tex]z=\dfrac{\hat{p}-0.5}{\sqrt{\dfrac{0.5 \times 0.5}{200}}} = 2.99[/tex]

Therefore;

[tex]{\hat{p}-0.5}{} = 2.99 \times \sqrt{\dfrac{0.5 \times 0.5}{200}} = 2.99 \times\dfrac{\sqrt{2} }{40}[/tex]

[tex]{\hat{p}[/tex] = 0.6057

[tex]Whereby \ \hat p = \dfrac{Number \ of \ heads}{Number \ of \ observation} = \dfrac{Number \ of \ heads}{200} = 0.6057[/tex]

∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.

Answer:

Add 0.31 + 0.33 + 0.45;

Step-by-step explanation:

Hope I got it right! If not i'm sorry.

Answer: The last one where it’s 1.09 rope

Step-by-step explanation: cm and m are different measurements so this is the only one that works since 31 would be a decimal  

5). Radius = 6 km. Circumference = 12π km. Area = 36π km²

6). Diameter = 8 mm. Circumference = 8π mm. Area = 16π mm²

Answers:

1. Circumference=12 pi on

Area=36 pi km^2

2. Circumference=8 pi mm

Area=16 pi mm ^2

Please see theattachedpicturefor full solution

Hope it helps

Good luck on your assignment

Answer:

See the explanation.

Step-by-step explanation:

The Pythagorean theorem states that a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse (diagonal, longest side) of the triangle.

We can see that the legs are labeled 15 (blue) and 8 (red). Substitute that into the equation.

(8)^2 + (15) ^2 = c^2

From there, we can simplify and solve for c.

64 + 225 = c^2. Add.

289 = c^2. Take the square root.

c = 17.

I hope this helps!

Answer: 17

Pro tip: 3/4/5, 5/12/13 and 8/15/17 are the first three Pythagorean Triples on the list and teachers like to use them for problems.  The multiples also come up, like 6/8/10.  Learn these and save yourself some calculation down the road.

Let's do it like they want

a² + b² = c²

8² + 15² = c²

64 + 225  = c²

289 = c²

√289 = √c²

17 = c

Answer:

27/36.

Step-by-step explanation:

By definition, the tangent function is defined as the ratio of the side opposite to the angle to the side adjacent to the angle (opp/adj).

From angle C, the opposite side is 27, and the adjacent side is 36. We can say that tan C = 27/36.

Answer:

9.5 feet

Step-by-step explanation:

So let's review the equations we need to know.

Circumference= π x d or π x 2r

Since we are solving for r, let's stick with the 2nd one.

Next, plug in the values.

59.66=3.14 x 2r

simplify.

59.66=6.28r

9.5=r

done!

the radius is 9.5 feet!

Hi! here's your answer!ヾ(￣▽￣)

Step-by-step explanation:

Your answer is 18 ounces of romaine lettuce!

Have a nice day/night~   (｡･∀･)ﾉﾞ

The correct option is 18 ounces. The weight of romaine lettuce in salad mix container is 17.28 ounces.

Given to us:

iceberg = 40%

romaine = 27%

spinach = 15%

arugula = 12%

carrots = 6%

The total weight of salad mix container = 64 ounces

Romaine lettuce the container have is 27% of the total weight of salad mix container Dominic buys. Therefore,

weight of romaine lettuce in salad mix container,

= 27% of the total weight of salad mix container

= 27% of 64 ounces

= [tex]\dfrac{27\times 64}{100}[/tex]

=17.28 ounces

Hence, the weight of romaine lettuce in salad mix container is 17.28 ounces.

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Answer:

Number Four Fours Term Solved By

0 4 - 4 + 4 - 4 johnv

1 (4/4) / (4/4) johnv

2 4/4 + 4/4 pilot

3 (4+4+4) / 4 pilot

4 [ (4/4) ^4 ] * 4 catbells

5 [ 4*4 +4 ] / 4 pilot

6 [ (4+4) /4 ] +4 scruffy

7 4+4 - (4/4) Flora Flatbelly

8 4*4 - 4 - 4 catbells

9 4/4 +4 +4 scruffy

10 4 + √4 + √4 + √4 P Rubie

11 44 / (√4 + √4) christina

12 4 + 4 + √4 + √4 johnv

13 4!/(√4) + 4/4 tackline

14 4+4+4 + √4 D12Bit

15 (44/4)+4 D12Bit

16 4*4*4 / 4 D12Bit

17 4*4 + 4/4 D12Bit

18 4*4 + 4 / √4 D12Bit

19 4! - 4 - 4/4 ?

Solutions to the Second Challenge: 20 to 99

Number Four Fours Term Solved By

20 4 * 4 + √4 + √4

21 4! - 4 + 4/4

22 4! - (4! / 4 - 4)

23 4! - 4^(4-4)

24 4 * ( 4 + 4/√4 )

25 4! + 4^(4-4)

26 4! + (4! / 4 + 4)

27 4! + 4 - 4/4

28 4! + 4 * (4/4)

29 4! + 4 + 4/4

30 (4 + 4/4)! / 4

31 (4! + 4)/4 +4! MicheleR

32 4*4 + 4*4

33 (4 - .4)/.4 + 4! IceMantis

34 4*4 * √4 + √

35 4! + 44/4

36 4*4 * √4 + 4

37 4! + (4! + √4) / √4 christina

38 44 - 4 - √4

[39] 4! + 4! - 4/.4~

40 44 - √4 - √

41 (4*4 + .4) / .4

42 44 - 4/√4

43 44 - 4/4

44 44 + 4 - 4

45 44 + 4/4

46 44 + 4/√4

47 4! + 4! - 4/4

48 44 + √4 + √4

49 4! + 4! + 4/4

50 44 + 4! / 4

51 (4! - 4 + .4) / .4 Mr.B

52 44 + 4 + 4

[53] 44 + 4 / .4~

54 4! + 4! + (4! / 4)

55 [4! - ( 4 / √4 ) ] IceMantis

56 44 + 4! / √4

[57] 4! + 4! + 4/.4~

58 4! + 4! + 4/.4 IceMantis

59 4!/.4 - 4/4 FireMantis

60 44 + 4 * 4

61 4!/.4 + 4/4 FireMantis

62 (4 + 4) ^ √4 - √4

63 (4! + √4) / .4 - √4 FireMantis

64 4 * 4 * √4 * √4

65 (4^4 +4) / 4 Jeremy

66 (4 + 4) ^ [√4] + √4

67 [4! + √4] / .4 + √4 FireMantis

68 (4 + 4) ^ √4 + 4

69 (4!+4-.4)/.4 Partick

70 44 + 4! + √4 FireMantis

71 (4 + 4! + .4) / .4 IceMantis

72 [ (4! / 4) ^ √4 ] * √4

[73] [4! * √4 + √.4~)] / √.4~) capOCC

74 4! + 4! + 4! + √4 FireMantis

75 (4! + √4 + 4) / .4 FireMantis

76 4!*4 - 4! + 4 Jeremy

[77] (4/.4~) ^ √4 - 4 FireMantis

78 √4 / .4~) * [4! + √4] ArBeeJay Ruakura

79 (4/.4~) ^ √4 - √4

80 4! * 4 - 4*4 -

[81] (4/.4~) * (4/.4~) -

82 (4! / .4) + 4! - √4 Partick

[83] (4/.4~) ^ √4 + √4 -

84 4! * 4 - 4! / √4 -

[85] (4/.4~) ^ √4 + 4 -

86 4!*4 - 4/.4 IceMantis

87 4! * 4 - 4/.4~ -

88 4! * 4 - 4 - 4 -

89 4! + [4! + √4]/.4 RyVikOCC

90 4! * 4 - 4! / 4 -

91 4 * 4! - (√4 / .4) IceMantis

92 4! * 4 - √4*4) -

[93] 4 * 4! - [ √4 / √(.4~) ] IceMantis

94 4! * 4 - 4/√4 -

95 4! * 4 - 4/4 -

96 4! * 4 + 4 - 4 -

97 4! * 4 + 4/4 -

98 4! * 4 + 4/√4 -

[99] (4!*√4-4) / .4~ IceMantis

Step-by-step explanation:

Answer:

11042

Step-by-step explanation:

since it says "in all" that means u have to add them up

6,836 + 4,206 = 11,042

Hello!

[tex]\boxed{ \bf The~volume~of~the~figure~is~186.7~km^3.}[/tex]

___________________________________________________

We must use a certain formula to find the volume. The formula is:

V = [tex]\frac{lwh}{3}[/tex]

Substitute the values:

V = (10 × 7 × 8) ÷ 3

V = [tex]\frac{560}{3}[/tex]

V = 186.7

Answer: 112 meters

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Replacing with the values given :

842,411 = π x r ² x 85

Solving for r:

842,411 / (π x 85) = r²

3,154.67 = r²

√3,154.67 = r

56.16 m = r

Finally, we have to multiply the radius by 2 to obtain the diameter:

56.16 x 2 = 112 meters

Feel free to ask for more if needed or if you did not understand something  

Answer:

[tex]9*10^{12}km[/tex]

Step-by-step explanation:

[tex]9,460,730,472,580.8 km[/tex]

First, we can work out 5% of our number, by multiplying it by 0.05

[tex]9,460,730,472,580.8 * 0.05 = 473,036,523,629[/tex]

Now, if we add and subtract our 5% calculated from our original number, we can work out the minimum and maximum value that our final answer can be in the range of.

[tex]9,460,730,472,580.8 + 473,036,523,629 = 9.933767*10^{12}\\9,460,730,472,580.8 - 473,036,523,629 =8.98769395*10^{12}[/tex]

We can see that [tex]9*10^{12}[/tex] is in the range of valid answers, as:

[tex]8.9*10^{12} \leq 9*10^{12} \leq 9.9 * 10^{12}[/tex]

So, our final answer is:

[tex]9*10^{12}km[/tex]

Answer:

8 weeks

Step-by-step explanation:

$2100 - $900 = $1200

$1200/$150 = 8 weeks

Answer:

2,270

Step-by-step explanation:

If you look at the last two numbers, then you can see that the closest ten to 67 is 70.

Answer:

5,270

Step-by-step explanation:

WE CONSIDER 7 TO BE THE NO WHICH WILL BE USED FOR ROUNDING

SO 7 IS MORE THAN 5 SO WE ADD 1 TO THE TENS PLACE

0,1,2,3,4=+0

5,6,7,8,9=+1

First of all, what graph and second, what is "shown below"

The graph will be a line that passes through these points. In this case, the line will have a positive slope of 3 and a y-intercept of 1. None of the options is correct.

The graph of the equation y = 3x + 1 is a straight line.

To graph this equation, we need to plot points that satisfy the equation and then connect those points to create the line.

We can choose any values for x and calculate the corresponding y values using the equation. Let's choose a few x-values to get started:

When x = 0:

y = 3(0) + 1 = 1

So we have the point (0, 1).

When x = 1:

y = 3(1) + 1 = 4

So we have the point (1, 4).

When x = -1:

y = 3(-1) + 1 = -2

So we have the point (-1, -2).

We can continue this process and plot more points to have a clear representation of the line.

Once we have a few points, we can connect them with a straight line.

The resulting graph will be a line that passes through these points. In this case, the line will have a positive slope of 3 and a y-intercept of 1. Since Kesley draws the wrong x-intercept.

None of the given options is correct.

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The question given is incomplete, the complete question is attached in the image below.

Answer:

The value of f(5) is:

-8

Step-by-step explanation:

Lets make  table which represents the function.

Th table has 2 columns, first column contains values for x, second column contains values of y

The table has 4 rows, which means that there are 4 values of x, which corresponds to 4 values of y.

The table is given as:

x          f(x)

-4         -2

-1           5

3           4

5          -8

We need to find the value of f(5).

We can get the value of f(5) if we substitute x = 5 into f(x)

We can see in the table, that if we substitute x=5 in f(x), we get the value of f(5) = -8

Which is the answer

Answer:

F(5)=8

Step-by-step explanation:

Answer:

7.5 squared units

Step-by-step explanation:

[tex]b_1 = 4\: units, \:\: b_2 = 1 unit \:\: h = 3 \: units \\

Area\: of \:Trapezoid = \frac{1}{2} \times (b_1 + b_2) \times h \\ \\ = \frac{1}{2} \times (4 + 1) \times 3 \\ \\ = \frac{1}{2} \times 5 \times 3 \\ \\ = \frac{1}{2} \times \times 15 \\ \\ = 7.5 \: {units}^{2} [/tex]

Answer:

C

Step-by-step explanation:

The angle adjacent to x on XY = 115° ( corresponding angle )

This angle and x are adjacent and supplementary , thus

x = 180 - 115 = 65 → C

Answer:

65⁰

Step-by-step explanation:

x + 115⁰ = 180⁰ (co exterior)

x = 180 - 115 = 65⁰

Answer:

A) 216

Step-by-step explanation:

216 has the greatest value

Answer:

Step-by-step

Let the given number be n>2.

For n even, n2+((n/2)2–1)2=((n/2)2+1)2.

For n odd,  n2+((n2–1)/2)2=((n2+1)/2)2

use the forumla to find u r answer

standard form of a pythagorean triplet is 2m, m²+1, m²-1

let us take 2m as 36. so

2m=36, m=36/2

therefore m=18

m²+1  =18²+1   = 324+1   =325

m²-1   =18²-1    = 324-1    =323

therefore  36,325,323 form a pythagorean triplet.

For checking, 36²+323² should be equal to 325²

Tell me if this was helpful....

Answer:

y = 2/3 x - 3

i hope i helped

Answer:

Sample data - subset of the total population from which estimates about the  population can be made

Point estimate - an estimate that is a single number which is represented as a  point on a line

Interval estimate - a range of values within which a true mean will fall

Hope this is correct :)

Answer:

slope = - [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 9y = - 18 ( subtract 2x from both sides )

9y = - 2x - 18 ( divide all terms by 9 )

y = - [tex]\frac{2}{9}[/tex] x - 2 ← in slope- intercept form

with slope m = - [tex]\frac{2}{9}[/tex]

Answer:

Luis, because his sample is taken from the population of all seventh graders. However, Samanthan has the advantage of having a bigger sample, and that makes it more representative.

Taking the sample of the library as Samantha did, is biased, because most of the students there is checking a book, and the aim of the study is not only the ones that use the library, but in general the seventh grade students.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

80 degrees

Step-by-step explanation:

Co-interior angles

The measure of y is 80 degree.

Option D is correct.

The basic qualities listed below make it simple to identify parallel lines.

As, from the property of parallel line we have

As, DE || XY then

y+ 100 = 180 ( Angles on same side of transversal)

y= 180- 100

y= 80 degree

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Answer:

The first one!

Step-by-step explanation:

1/4*1/4*1/2*= 1/32

Answer:

x<32

Step-by-step explanation:

Answer:

t > 32

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

2x+ x+15 +90 = 180

Combine like terms

3x+ 105 = 180

Subtract 105 from each side

3x+105-105 = 180-105

3x = 75

Divide each side by 3

3x/3 = 75/3

x = 25

The value of X is 25 degree.

please see the attached picture for full solution

Hope it helps..

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