What is the surface area of a sphere with radius r of 6 cm?

The values of the variables in number 3, in simplest radical form, are:

f = 6;  o = 3.

The simplest radical form, also known as simplified radical form or simplified surd, refers to expressing a square root (√) or other roots in the simplest possible way without any perfect square factors in the root. In other words, it involves reducing the radical expression to its simplest form.

Solving problem 3, we would apply the necessary Trigonometric ratios to find the variables:

sin 60 = opp/hyp

sin 60 = 9√3 / f

f = 9√3 / sin 60

f = 9√3 / √3/2 [sin 60 = √3/2]

f = 9√3 * 2/√3

f = 18/3

f = 6

tan 60 = opp/adj

tan 60 = 9√3 / o

o = 9√3 / tan 60

o = 9√3 / √3 [sin 60 = √3]

o = 9√3 * 1 / √3

o = 9/3

o = 3

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Answer:

o = 9

f = 18

Step-by-step explanation:

Triangle #3 is a right triangle with two of its interior angles measuring 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, this triangle is a special 30-60-90 triangle.

The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.

In triangle #3, the longest leg is 9√3 units.

As "a√3" is the shortest leg, the scale factor "a" is 9.

The side labelled "o" is the shortest leg opposite the 30° angle. Therefore:

\(o = a=9\)

The side labelled "f" is the hypotenuse of the triangle. Therefore:

\(f= 2a = 2 \cdot 9=18\)

Therefore:

Answer:

"ob" is the answer of this long question

Answer:

D

Step-by-step explanation:

reason:

not A cuz the customer has to wait for a long time, and she feel waste of time

not B cus it's the store's responsiblity, not customer. if she said that, the customer would feel be disrespected. and i swear she never comes back that store.

C if she said that, customer also feel waste of time when she has to talk with Aliana who cant solve her problem

and the boss will think Ali couldnt have no problem-solving skills

Answer:

D 0.89275

Step-by-step explanation:

Answer:

Length of the arc = 10. 26

Step-by-step explanation:

14 × 11 / 15

= 154 / 15

= 10.26

Length of the arc = 10. 26

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

third option

Step-by-step explanation:

| - 2x | = 4

the absolute value function always gives a positive value, however, the expression inside can be positive or negative , that is

- 2x = 4 ( divide both sides by - 2 )

x = - 2

or

- (- 2x) = 4

2x = 4 ( divide both sides by 2 )

x = 2

solutions are x = - 2 , x = 2

these are illustrated on the number line by solid circles at - 2 and 2

this is indicated on the third number line

Number line represents the solutions to |–2x| = 4 is third number line (x1 = -2, x2= 2).

Solving steps :

1. Calculate

Calculate the absolute value.

|-2x| = 4

Use |ab| = |a| * |b| to transform the expression.

|-2x|

|-2| * |x|

The absolute value of any number is always positive.

2 * |x|

We did it!

|-2x| = 4

2 * |x| = 4

2. Divide both sides

Divide both sides of the equation by 2.

2 * |x| = 4

2 * |x| ÷ 2 = 4 ÷ 2

Any expression divided by itself equals 1.

|x| = 4 ÷ 2

Calculate the quotient.

|x| = 2

3. Separate into possible cases

Use the absolute value definition to rewrite the absolute value equation as two separate equations.

|x| = 2

x = 2

x = -2

4. The equation has 2 solutions.

x1 = -2, x2= 2

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Without additional details, we cannot determine the number of two-dozen tulip arrangements the florist should expect to sell with the anticipated 4,600 more customers.

To determine the number of two-dozen tulip arrangements the florist should expect to sell if they anticipate 4,600 more customers, we need to examine the given results and make a reasonable assumption based on the available information.

Unfortunately, the given results or information regarding the number of tulip arrangements sold or the relationship between customers and sales are not provided. Without this data, it is not possible to accurately estimate the number of arrangements that will be sold with an additional 4,600 customers.

To make an accurate prediction, we would need more information such as the average number of tulip arrangements sold per customer or any patterns or trends observed in the sales data.

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Answer:

24

Step-by-step explanation:

the two times the cut into one

Answer:  Number 1: = and Number 2: is C

Step-by-step explanation:

Answer:

6. >

7. 5/6, 2/3, 8/15

Step-by-step explanation:

For 6, you need to make the denominators equal, so you need to multiply 6/3*5 making it 30/15. Now which is greater 30/15 or 10/15 and you can see it's 30/15 so it would be >. For 7 you need to do the same thing but make all three denominators the same. 2/3 becomes 20/30 by multiplying by 10. 5/6 becomes 25/30 by multiplying by 5. Lastly, 8/15 becomes 16/30 by multiplying by 2. Now all their denominators are the same, so now all you have to do is order them. 25/30, 20/30, and 16/30. This is equal to 5/6, 2/3, 8/15.

Given:

In triangle WXY, \(m\angle W=90^\circ, WX=8, XY=17, WY=15\).

To find:

The Cotangent of \(\angle X\).

Solution:

In a right angle triangle,

\(\cot \theta=\dfrac{Base}{Perpendicular}\)

It can be written as:

\(\cot \theta=\dfrac{Adjacent}{Opposite}\)

For triangle WXY,

\(\cot (\angle X)=\dfrac{WX}{WY}\)

\(\cot (\angle X)=\dfrac{8}{15}\)

Therefore, the Cotangent of \(\angle X\) is \(\dfrac{8}{15}\).

Answer:

75 + m ≥ 495

m ≥ 420

Step-by-step explanation:

Answer:

9.7

Step-by-step explanation:

The mean is the same as the average value of a data set and is found using a calculation.

Add up all of the numbers and divide by the number of numbers in the data set.

Hope this helps! :)

Answer: 9.7

Step-by-step explanation:

Mean means to add up the values and divide it by how many numbers there are, so 10 + 8 + 12 + 10 + 7 + 11 + 13 + 6 + 15 + 5 = 97, then 97 / 10 = 9.7

The amount after 5 years on $100 using the compound interest is $122.

According to the question,

We have the following information:

Principal = $100

Interest Rate = 4%

Time= 5 years

We know that the following formula is used to find the total amount if there is compound interest:

Compound amount = \(P(1+\frac{r}{100})^{t}\) where P is the principal, r is interest rate and t is the time in years

(Note that there are different formulas for compound interest depending on how it is calculated.)

A = \(100(1+\frac{4}{100})^{5}\)

A = \(100(\frac{104}{100})^{5}\\100(1.04})^{5}\)

A = 100*1.22

A = $122

Hence, the amount after 5 years on $100 using the compound interest is $122.

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Answer:

$125.2-discount

$500.8-sale price

Step-by-step explanation:

hope it helps

Answer:

$15.48

Explanation:

100 ÷ 6.46 = 15.479876

Answer:

Um, hi...do you have a question at all??

Step-by-step explanation:

Answer:

This distribution should be expected to be right skewed.

Step-by-step explanation:

Pearson skewness:

The skewness of a data set is given by the subtraction of the mean by the mode, divided by the standard deviation.

If the coefficient is positive, the distribution is right skewed.

If the coefficient is negative, the distribution is left skewed.

If the coefficient is sufficiently close to 0(+/- 0.05), the distribution is bell shaped.

In this question:

Mean 7.4, mode 4, standard deviation 11

(7.4-4)/11 = 3.4/11 = 0.31

Positive coefficient, so right skewed.

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

yes.......................

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope, m=(y2-y1)/(x2-x1) in this case

m=(15-9)/(0- -3)

m=6/3

(m=2)

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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Answer:

c. 18%

e. 46%

Step-by-step explanation:

c. Since the time given is 5.9, it is easiest to just calculate for every 0.1 second. So, there are 50 0.1 seconds in 5 seconds. If you divide 100/50 you get 2. So that is your percentage for each 0.1 seconds. It says less than 5.9 so theres 10 0.1 seconds. If you multiply 9x2 you get 18%.

e. based on 2% for every 0.1 seconds, there are 5 0.1 seconds between 5 and 5.5 and 18 0.1 seconds between 7.2 ad 10. 23x2= 46%

I would like to note that this question is incorrectly asked as it says less than which means the time given wouldnt count. It would have made much more sense to say 5.9 minutes or less.

Im pretty sure this is the right answer but it could be c. 20% and e. 50%

Hope this helps!

Suppose the time it takes Lizzie to eat an apple is uniformly distributed:

a. The distribution of X is Uniform, denoted as X ~ U(5, 10).

b. To find the probability that it takes Lizzie more than 11 minutes to finish the next apple, find the area of the distribution curve to the right of 11. Since the distribution is uniform, the probability is the ratio of the length of the interval [11, 10] to the total length of the interval [5, 10].

Probability (X > 11) = (10 - 11) / (10 - 5) = -1 / 5 = 0 (rounded to 4 decimal places)

c. Probability (X < 5.9) = (5.9 - 5) / (10 - 5) = 0.18

d. Probability (5.5 < X < 7.2) = (7.2 - 5.5) / (10 - 5) = 0.34

e. To find the probability that it takes Lizzie fewer than 5.5 minutes or more than 7.2 minutes to finish the next apple, find the sum of the probabilities of these two disjoint events:

Probability (X < 5.5 or X > 7.2) = Probability (X < 5.5) + Probability (X > 7.2)

= (5.5 - 5) / (10 - 5) + (10 - 7.2) / (10 - 5)

= 0.1 + 0.36

= 0.46

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Answer:

Trapezoid

Step-by-step explanation:

It's a quadrilateral and it only has one pair of parallel sides.

Answer:

Personality impacts how we prefer to communicate with people, as well as how we ourselves respond to information. The more we understand our own communication styles and those of the people we work with, the more effective we can be as leaders, teams, and colleagues

Step-by-step explanation:

The journal entry for the sale of the bonds on June 1, 2022 would be:

Date           Account title and explanation                 Debit              Credit

June 1        Cash                                                     $ 343, 200

                 Premium on bonds payable                                          $ 13, 200  

                 Bonds payable                                                           $ 330, 000

When a company issues bonds, it needs to record the issuance in its accounting records. Determine the terms of the bond issuance, including the face value of the bonds, the interest rate, the maturity date, and any other terms that may apply.

Cash should be debited by the amount acquired from the sale of the bond which is :

= 330, 000 x 104 / 100

= $ 343, 200

If there is a premium, which means bond selling price is greater than par value, take this to the Premium on Bonds Payable account . The premium where is:

= 343, 200 - 330, 000

$ 13, 200

The rest should be credited to Bond Payable.

There is no given question in the first picture so please repost.

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The false statement from the stem-and-leaf plot is given as follows:

b. The data for Paul’s group has two modes.

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

The mode of a data-set is the data-set that appears the most times in a data-set.

Hence, for Paul's group, the mode is given as follows:

44.

As it is the only observation that appears the times, hence the data has one mode, and option b gives the false statement.

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The correct statements regarding the transformations are given as follows:

Examples of transformations are given as follows:

Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.

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