I need help figuring this trig identity problem out because the answer choices in each drop down aren’t making sense to me.

Answer:

[tex]\displaystyle \frac{-4 + i\sqrt{5}}{12}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{-8 + \sqrt{-20}}{24}[/tex]

Step 2: Simplify

If three independent events happen one after the other, a list of the sample space tools cannot be used.

correct option: A list

If the likelihood of the occurrence of one event has no bearing on the likelihood of the other, then the two occurrences are independent. The likelihood that both events A and B will occur is defined mathematically as being equal to the product of the probabilities of A and B. This is how independent occurrences A and B are expressed mathematically.

Thus, if three independent events happen one after the other, a list of the sample space tools cannot be used.

correct option: A list

To know more about independent events refer to:

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#SPJ1

Answer:

The store marks up the fountain by adding $ 36.58 to its original cost, bringing its retail price to $ 402.42.

Step-by-step explanation:

Given that a store pays $ 365.84 for a fountain, and then the store marks up the price by 10%, to determine the amount of the mark-up the following calculation must be performed:

365.84 x 10/100 = X

3,658.4 / 100 = X

36,584 = X

36.584 + 365.84 = 402.424

Thus, the store marks up the fountain by adding $ 36.58 to its original cost, bringing its retail price to $ 402.42.

Answer:

i think its approximately 5 gallons because if you do 4 gallons it would be 15.14 liters and if u do 5 gallons it would be 18.925 liters its the one that is a little more close i think

Answer:

5 liters

Step-by-step explanation:

Answer:

A = 260 cm^2

Step-by-step explanation:

[tex]a = b \times h \\ a = 20 \times 13 \\ a = 260 \: {cm}^{2} [/tex]

Answer:

it would be 4

Given:

The cost of a laptop increased by 25% between 2015 and 2019.

In 2019, the laptop cost £1000.

To find:

The cost of the laptop in 2015.

Solution:

Let x be the cost of the laptop in 2015.

The cost of a laptop increased by 25% between 2015 and 2019. So, the cost of the laptop in 2019 is

Cost of laptop in 2019 = [tex]x+\dfrac{25}{100}x[/tex]

                                     = [tex]x+0.25x[/tex]

                                     = [tex]1.25x[/tex]

In 2019, the laptop cost £1000.

[tex]1.25x=1000[/tex]

[tex]x=\dfrac{1000}{1.25}[/tex]

[tex]x=800[/tex]

Therefore, the cost of the laptop in 2015 is £800.

Answer:

2/3

Step-by-step explanation:

slope=3-(-1)/4-(-2)=4/6=2/3

Answer:

36

Step-by-step explanation:

45\100×80=36

Answer:

37/39

Step-by-step explanation:

We know that formula for n terms of an AP is written as;

(n/2)(2a + (n - 1)d)

Let the sum of the first AP be;

(n/2)(2a + (n - 1)d)

Let the sum of the second AP be (n/2)(2A + (n - 1)D)

We are told that they have a ratio of (2n-1):(2n+1)

Thus;

(2n-1)/(2n+1) = [(n/2)(2a + (n - 1)d)]/[ (n/2)(2A + (n - 1)D)]

On RHS, n/2 will cancel out to give;

(2n-1)/(2n+1) = [(2a + (n - 1)d)]/[(2A + (n - 1)D)]

Rewriting this we have;

(2n - 1)/(2n + 1) = [(a + ½(n - 1)d)]/[A + ½(n - 1)D)]

But we want tod find;

(a + (n - 1)d)/(A + (n - 1)D)

Thus,at n = 10, we have;

(a + 9d)/(A + 9D)

Comparing with [(a + ½(n - 1)d)]/[A + ½(n - 1)D)], we can say that;

½(n - 1) = 9

n = 18 + 1

n = 19

Thus;

(a + 9d)/(A + 9D) = (2n-1)/(2n+1)

Putting n = 19 gives;

(a + 9d)/(A + 9D) = (2(19) - 1)/(2(19) + 1)

(a + 9d)/(A + 9D) = 37/39

Answer:

Your welcome

Step-by-step explanation:

Answer:

$360

Step-by-step explanation:

The intial ratio of the sum shared between Khairul, Michael and Ethan is 6 : 4 : 5.

This would be 6x : 4x : 5x

Khairul gives $30 to Michael and $15.

The ratio is. Now;

(6x - 45) : (4x + 30) : (5x + 15)

We are told this is equal to the ratio 7:6:7

Thus;

((6x - 45) + (4x + 30))/(5x + 15) = (7 + 6)/7

(10x - 15)/(5x + 15) = 13/7

Factorize the left hand side;

5(2x - 3)/5(x + 3) = 13/7

5 will cancel out to get;

(2x - 3)/(x + 3) = 13/7

Cross multiply to get;

7(2x - 3) = 13(x + 3)

14x - 21 = 13x + 39

14x - 13x = 39 + 21

x = 60

Amount Khairul had initially was denoted as 6x.

Thus,6x = 5 × 60 = $360

Answer:

$9.52

Step-by-step explanation:

1.09 x 3 = 3.27

2.68 x 2 = 5.36

3.27+5.36+.89=9.52

Answer:

421/33

Step-by-step explanation:

Answer:

[tex]Suppose,~a~line~segment~has~midpoints~(x_1,y_1)~and~(x_2,y_2). Then,\\Midpoint~of~the~line = (\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})\\Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\According~ to~ the ~question,\\(x_1,y_1) = A(2,3)\\(x_2,y_2) = B(5,7)\\Midpoint~of~AB = (\frac{2+5}{2},\frac{3+7}{2}) = (\frac{7}{2},5)\\AB = \sqrt{(5-2)^2+(7-3)^2} = \sqrt{3^2+4^2} = 5units[/tex]

Answer:

$2.79

Step-by-step explanation:

$11.78

- $8.99

=$2.79

Answer:  7

Step-by-step explanation:

It's a 1 : 3 ratio so the answer should be 7

Answer:

its 2nd one

Step-by-step explanation:

Answer:

8 cm

Step-by-step explanation:

Use pythagorean theorem to find the height (a and b are equal):

[tex]a^2+b^2=16\sqrt{2}^2\\a^2+a^2=16\sqrt{2}^2\\2a^2=16\sqrt{2}^2\\2a^2=16(2)\\a^2=16\\a=\sqrt{16}\\a=4[/tex]

Area is half of the base times height. Base and height are equal for this triangle.

[tex]\frac{1}{2}(4)(4)\\\frac{1}{2}(16)\\8[/tex]

Answer:

me gusta las mujeres :)

Step-by-step explanation:

Answer:

$312.50

Step-by-step explanation:

240 + 25% = 300

300 + 12.50 =

312.50

Answer:

X = 5

Step-by-step explanation:

Answer:

37.38

Step-by-step explanation:

Remark

The ratio tells you how they are divided between night and day.

In other words night/ day = 19/32

That's not what you want.

What you want is night over total.

Total

Total = night + day = 19.1 + 32 = 51.1

Night Percent

Night% = Night * 100 / Total

Night% = 19.1 * 100 / 32

Night% = 37.38 %

Here, we are required to express ratio as a percentage

The percentage of pharmacy technician during the night is 37.25%

pharmacy technician during the day = 32

pharmacy technician during the night = 19

Total ratio = 32 + 19

= 51

percentage of pharmacy technician during the night = pharmacy technician during the night / Total ratio × 100

= [tex] \frac{19}{51} \times 100[/tex]

= 0.3725490196078 × 100

= 37.254901960784%

Approximately

37.25% to two decimal place

This means 37.25% of pharmacy technician work during the night

https://brainly.in/question/40112466

Answer:

D

Step-by-step explanation:

2000=1 ton so 4000=2tons

Answer:

D 4000 pounds=2 tons

Step-by-step explanation:

2 tons is equal to 2000 pounds so 2 tons equal to 4000 pounds.

Answer:

Friday

Step-by-step explanation:

Answer:

are there options? if so can you add them?

Step-by-step explanation: