If cos θ= 12 /13 and θ is located in the Quadrant I, find sin (2 θ ), cos(2 θ ), tan(2 θ )

The lowest common denominator of the set of fractions 1/6, 13/27, 4/5, 3/10, 2/5 is 270.

The lowest common denominator of LCD is least common multiple of denominators of the fractions.

given fractions:

1/6, 13/27, 4/5, 3/10, 2/5

taking the Prime factorization of denominator of the fractions

6 = 2x3x1

27 = 3x3x3x1

5 = 5x1

10 = 2x5x1

5 = 5x1

Therefore, lcm is 2x3x3x3x5 = 270

so, LCD is 270

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Answer:

3

Step-by-step explanation:

Put both expressions equal to each other.

2x+4=3x+1

Solve:

2x+4=3x+1

4-1=3x-2x

3=1x

x=3

Step-by-step explanation:

the area of a triangle

baseline × height / 2

in our case

baseline × height / 2 = 60 in²

height = 6×baseline - 16

baseline × (6×baseline - 16) / 2 = 60

baseline × (3×baseline - 8) = 60

3×baseline² - 8×baseline = 60

baseline = x

3x² - 8x - 60 = 0

general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 3

b = -8

c = -60

x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =

= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =

= (8 ± 28)/6

x1 = (8 + 28)/6 = 36/6 = 6

x2 = (8 - 28)/6 = -20/6 = -10/3

x2 as a negative number is not a valid solution for a length in a geometric shape.

so, x = 6 in is our solution for the baseline.

height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in

base = 6 in

Answer:

angle 700 < angle 1120 pounds

The set that represents the same relation as the graph given is: B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).

A relation is defined as a relationship between the input and output, which can be displayed on a graph on a coordinate plane.

From the graph as shown in the image attached below,

The set that has the same coordinate points as indicated on the graph is:

B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).

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Answer:

15/56

Step-by-step explanation:

15 and 56 have a GCF of 1.

The total price of new pair of pants including tax will be $ 51.94.

Everything is stated as if it was a fraction of a hundred in quantity.

Tyshawn went shopping for a new pair of pants.

Sales tax where he lives is 6%.

The price of the pair of pants is $49.

Then the total price of new pair of pants including tax will be

Total cost = 49 x (1 + 0.06)

Total cost = 49 x 1.06

Total cost = $ 51.94

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The expression that cannot be used to find the distance between them on the number line is |p + q|.

p and q are rational numbers. Which of the following expressions cannot be used to find the distance between them on the number line.

A. |p - q|

B. |p + q|

C. |q + (-p)|

D. |q - p|

Rational number is a number that can be represented as the quotient p/q of two integers such that q ≠ 0.

Here, the expression that cannot be used to find the distance between them on the number line is |p + q|.

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Answer:

142.86 miles

Step-by-step explanation:

150 + .35m < 200

150 + .35m -150 < 200-150

.35m < 50

.35m/35 < 50/.35

m < 142.86

The maximum distance I can drive the rv in a day if my budget $200 is, approx. 142 miles

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given that,

The cost to rent an rv is $150 per day +  $0.35 per mile

The maximum distance in a day = ?

Budget is $200

So,

The maximum distance in a day ≤ 200

The maximum distance in a day = 150 + 0.35x

Now,

⇒  150 + 0.35x  ≤ 200

⇒   0.35x  ≤ 200 - 150

⇒      x ≤ 142.85

Hence, maximum distance in a day is approx. 142 miles

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If 5x + 15 ≥ 0, then |5x + 15| = 5x + 15. The equation reduces to

5x + 15 = 10x

15 = 5x

x = 3

If instead 5x + 15 < 0, then |5x + 15| = -(5x + 15), and the equation becomes

-5x - 15 = 10x

-15 = 15x

x = -1

If x = 3, then |5x + 15| = 30 and 10x = 30, so x = 3 is a valid solution.

If x = -1, then |5x + 15| = 10 while 10x = -10, so x = -1 is the extraneous solution.

The height of the building to the nearest tenth of a meter is; 13 m

The slant line from the top of Trevor's head to the base of the building is gotten from Pythagoras theorem;

15/x = sin 36°

x = 15/sin 36

x = 25.52 m

Angle between that slant line and base of building is;

90 - tan⁻¹(1.5/14) = θ

θ = 83.88°

Remaining angle of the bigger triangle is;

180 - (36 + 83.88) = 60.12°

Thus, if the height of the building is h, then;

h/sin 36 = 25.52/sin 60.12

h = 13 m

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The phrase "in spite of" refers to a scenario where regardless of what happened, there is always a yearning desire and ability to remain positive.

The meaning of the phrase "in spite of" mean notwithstanding or whatever the circumstances, there is no room for complaining and thinking negatively.

This phrase is used to rejuvenate the positive and optimism of a man's thoughts and desires during dark moments. Hence, "in spite of" what happened, there is always an ability to remain positive.

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Answer:

Ans = A: 57

Step-by-step explanation:

Because

sum of the angke of opposite side of quardilateral triangle is 180°

x°+30°+93°=180°

x°+123°=180°

x°=180°-123°

x°=57°

Hence proved.

The value of x is option A. 57.

A cyclic quadrilateral is a polygon with four sides where all of it's four vertices lie on a circle.

The circle thus formed is called circumcircle or circumscribed circle.

We have a property for the cyclic quadrilateral that the opposite angles formed on the quadrilateral is supplementary.

That is, sum of the opposite angles is 180°.

Here B and D are opposite angles.

So,

∠B + ∠D = 180

9x + x + 30 = 180

Solving,

x = 57

Hence the value of x is 57.

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Given the radius of the discus used in the track field competition, the circumference of the discus is 69.08cm.

Note that; a circumference is the perimeter of a circle or ellipse.

It is expressed as C = 2πr

Where r is the radius and π is the constant pi ( π = 3.14 )

Given that;

C = 2πr

C = 2 × 3.14 × 11cm

C = 69.08cm

Therefore, given the radius of the discus used in the track field competition, the circumference of the discus is 69.08cm.

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Answer:

363=90bags

then you look into it and say

440=200bags

Answer:

9.39

Step-by-step explanation:

[tex]\frac{C}{2\pi } =R[/tex]

[tex]\frac{59}{6.28}[/tex]= 9.39

Answer:

he used one 1/12 more of salt.

Step-by-step explanation:

2/3 I know equals 8/12

And

7/12 = 7/12 so

You just do

8/12 - 7/12 = 1/12

The probabilities that correctly complete this probability distribution for 50 packages of nuts will be 0.24, 0.2, 0.12, 0.28, and 0.16.

From the information given, we have to find the probability for each fruit. This will be:

Almond = 12/50 = 0.24

Cashew = 10/50 = 0.2

Mixed = 6/50 = 0.12

Peanut = 14/50 = 0.28

Pecan = 8/50 = 0.16

Therefore, the probabilities that correctly complete this probability distribution for 50 packages of nuts will be 0.24, 0.2, 0.12, 0.28, and 0.16.

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Answer:

B. 97%

Step-by-step explanation:

20 students is -2 standard deviations away from the mean

35 is +3 standard deviations away from the mean

100 - 2.4 = 97.6

(2.4 is amount of data we are not using)

please refer to the standard deviation graph attached :)

Answer:

The first part put 6

second, put 2

third put 1

Step-by-step explanation:

it was just asking for the number, not anything else, so you would just add like terms.

and could u pls put me as the brainliest

Answer:

35 ×x =7

100

35x=7

100

35x=700

35 35

x = 20.

Answer:

  ay = 39 -6(n -1)

Step-by-step explanation:

The explicit formula for an arithmetic sequence can be written by using the first-term value and the common difference in the generic formula.

__

The generic formula for the n-th term of an arithmetic sequence is ...

  [tex]a_n=a_1+d(n-1)[/tex]

where a₁ is the first term of the sequence (39), and d is the difference between sequential terms (33-39 = -6).

Using the values for this sequence in the generic formula, we have ...

  ay = 39 -6(n -1)

Using it's concept, it is found that there is a 0.3043 = 30.43% probability of at least one O-ring failing.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, of the 23 flights, 7 had at least one failure, hence the probability is given by:

p = 7/23 = 0.3043.

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D) Caitlin should take the position in her preferred location because the annual salary is $45,400 after rent and utilities.

To calculate your annual salary, multiply your gross income (before taxes) by the number of pay periods in a year. If an employee earns $1,500 each week, his or her annual income is $1,500 x 52 = $78,000.

Job 1 and Job 2 both generate the same or similar amount of income of $45,400 per year after additional expenses.

This means that Caitilin should choose her career based on the preferences of her neighboring neighborhood so that she can travel easily.

This is because moving to a more distant job location would result in no increase in her income, making it nonsensical to do so.

So, the correct answer is option D.

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Answer: D. edge 2023

The jobs have equal annual incomes of $45,400 after rent and utilities so Caitlin should take the job in her favorite locale.

Answer:

I think it could be A

Step-by-step explanation:

Not 100% sure tho

3) [tex]\angle B \cong \angle Y[/tex]

4) [tex]\triangle ABC \sim \triangle ZYX[/tex] by the SAS similarity theorem

ΔABC is similar ΔZYX by the SAS similarity theorem. Therefore, option B is the correct answer.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

1. AB/ZY = BC/YX = 2

2. ∠B and ∠Y are right angles

3. ∠B=∠Y

4. ΔABC is similar ΔZYX by the SAS similarity theorem.

Therefore, option B is the correct answer.

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Answer:

3 × 10^10

Step-by-step explanation:

43,600,000,000 × 75% = 0.75 × 43,600,000,000 = 32,700,000,000 =

= 3.27 × 10^10

Answer: 3 × 10^10