Suppose a point has polar coordinates (6,5pi/6)with the angle measured in radians.Find two additional polar representations of the point.Write each coordinate in simplest form with the angle in (-2pi, 2pi).

Answer:

2^4   * 9^4

Step-by-step explanation:

(2*9)^4

We can take the power to each term inside the parentheses

2^4   * 9^4

Answer:

18 dimes and 1 nickle

Step-by-step explanation:

This is because 18 time 10 is 180 and one of 5 add it and this is $1.85

Remeber a dollar is 100 cents

The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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Answer:

The estimated standard error is \(s_M = 1.065\).

The t statistic is \(t = 0.845\).

Step-by-step explanation:

The test statistic is:

\(t = \frac{X - \mu}{s_M}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(s_M = \frac{s}{\sqrt{n}}\) is the standard error, s is the standard deviation and n is the size of the sample.

The average duration of labor from the first contraction to the birth of the baby in women over 35 who have not previously given birth and who did not use any pharmaceuticals is 16 hours.

This means that \(\mu = 16\)

Suppose you have a sample of 35 women who exercise daily, and who have an average duration of labor of 16.9 hours and a sample variance of 39.7 hours.

This means that \(n = 35, X = 16.9, s = \sqrt{39.7} = 6.30\)

The estimated standard error is:

\(s_M = \frac{s}{\sqrt{n}} = \frac{6.30}{\sqrt{35}} = 1.065\)

The estimated standard error is \(s_M = 1.065\).

Calculate the t statistic.

\(t = \frac{X - \mu}{s_M}\)

\(t = \frac{16.9 - 16}{1.065}\)

\(t = 0.845\)

The t statistic is \(t = 0.845\)

Answer:

a=b x h 40x30=1200

Step-by-step explanation:

that is answer

The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800

Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.

Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.

The inequality that represents the situation becomes as;

25x + 65y ≤ 800

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Answer:

\(-37\frac{3}{4}\)

Step-by-step explanation:

0.75 is equivalent to three quarters, or (3/4).

3/4 would be the fraction. -37 would be the whole number.

\(-37.75 = \boxed{-37\frac{3}{4}}\)

Hope this helps.

Answer:

- 37 3/4

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

→ First multiply the whole numbers together

2 × -5 = -10

→ Now multiply -10 by -6.5

-6.5 × -10 = 65

was replaced by "(65/10)

1. 65/10 = 13

—

2

Equation at the end of step:

13

((0 - ——) × 2) × -5

2

Answer = 65

Answer:

No

Step-by-step explanation:

to determine if (- 5, 3 ) is a solution substitute the x- coordinate into both equations and if the value of y is equal to the y- coordinate then the point is a solution to the system.

y = x - 6 = - 5 - 6 = - 11 ≠ 3

y = - 2x - 7 = - 2(- 5) - 7 = 10 - 7 = 3

since both equations are not satisfied , then

(- 5, 3 ) is not a solution to the system

From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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Answer:

D. Bimodal

Explanation:

The given histogram has two creast, each crest represent a mode. So, we can say that this is a bimodal graph. Therefore, the answer is

D. Bimodal.

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

you just have to expand the trig. functions into their corresponding values and then finish them off.

The expression for the time of the number of games remaining for shoes will be T = 225 - 2W.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Jacob just bought a new pair of basketball shoes. He expects the shoes to last for two hundred twenty-five games. He plays two games a week.

The expression for the life of the shoes will be written as:-

T = 225 - 2W

Here, T is the time and W is the number of weeks.

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Answer:

Step-by-step explanation:

The correct definition of perpendicular lines is option 1: "Two lines that intersect in a way that forms right angles."

When two lines intersect to form four right angles (90-degree angles), they are said to be perpendicular to each other. The point at which the lines intersect is called the point of intersection.

Therefore, option 1 is the correct definitation of perpendicular lines.

Answer: 1. Two lines that intersect in a way that forms right angles.

Step-by-step explanation:

Hope this helped! :)

Answer:

a

Step-by-step explanation:

Answer:

b. 0.4

Step-by-step explanation:

took text

The expression for seven times the sum of a number and -5 is 7(n - 5).

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Based on the information given, let the number be represented by n.

It should be noted that sum means addition. Therefore, seven times the sum of a number and -5 will be:

= 7 × [n + (-5)]

= 7 × (n - 5)

= 7(n - 5)

In conclusion, the value is 7(n - 5).

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Answer: OPTION 3 10i

Step-by-step explanation:

First of all, you need to know about imaginary number, or i.

i (imaginary number)= √-1

---------------------------------------------------------

√-100=√100 × √-1 ⇔ This splitting up √-100 to make it easier for you to understand.

√-1=i ⇔ As mentioned before of the concept of imaginary number

√100= 10 ⇔ It is a perfect square

√-100=√100 × √-1

√-100=10 × i

√-100=10i

Hope this helps!! :)

Please let me know if you have any question

The system that has linear inequalities has the point (3, -2) in its solution set is y > -3; y ≥ 2/3x - 4.

We know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

In option B, we have

y > -3 ----> inequality A

y ≥ 2/3x - 4 ----> inequality B

In both inequality, change the values of x and y at the point (3, -2) and then compare the outcomes.

Inequality A

y > -3 ----> is true

Inequality B

y ≥ 2/3x - 4 ----> is true

Therefore

The ordered pair is a solution of the system B

As a result, the point (3, -2) in the solution set of the system with linear inequalities is y > -3; y 2/3x - 4.

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To make informed decisions about budget allocation and cost management, the director should consider this relationship between the number of procedures and unit cost.

The director of surgery at a local hospital aims to understand the unit's costs by analyzing data from the past 36 months, including unit cost (labor, supplies, etc.) and the number of procedures performed.

The assistant used a spreadsheet program to analyze this data and obtained an R2 value of 0.253.

This indicates that 25.3% of the variation in unit cost can be explained by the number of procedures performed. The unit plans to perform an average of 17,000 procedures per month in the upcoming year.

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Answer:

Step-by-step explanation:

a) 0.6406; b) 1.000; c) C. The probability from part​ (a) is more relevant because it shows the proportion of male passengers that will not need to bend; d) B. Since men are generally taller than​ women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women.

Answer:

110

Step-by-step explanation:

Hello There!

If you didn't know the rule about angles in a triangle is that they have a sum of 180

So we can find the measure of the missing angle by subtracting the given angles (in this case 30 and 40) from 180

so the missing angle = 180 - 30 - 40

180 - 30 = 150

150 - 40 = 110

so the missing angle = 110

Answer:

25

Step-by-step explanation:

3 x 3 = 9

4 x 4  = 16

9 + 16 = 25

Answer:

10.4 cm

Step-by-step explanation:

Since the area is half of the base multiplied by the height A = 1/2 * b * h, the height can be found from h = 2A/b

h = (2 * 83.72 )/16.1 = 10.4

Answer:26.02

Step-by-step explanation:83.72-(16.1x2)/2=26.02 (sry I know it’s confusing but that’s how I do math lol) brainlyest plz plz I need it for my rank

\(\frac{x}{3x}+\frac{8x}{3x}=\frac{1}{3}+\frac{8}{3}=3\)

Answer:

Step-by-step explanation:

1) 1316÷ 4=329

2) 4 ÷ 1/4 = 16 batches of cookies

3) D

4) 97.46 x 10^2 =9746

5) the answer in decimal is 506.048

By using trigonometric relations we will see that the area is:

\(A = h*tan(60\°)*/2 = tan(60\°)*h^2/2\)

Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.

Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).

h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:

tan(60°) = x/h

x = tan(60°)*h

Then our two catheti are h and tan(60°)*h.

This means that the area will be:

\(A = h*tan(60\°)*/2 = tan(60\°)*h^2/2\)

Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).

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Answer:

the guy on top is correct

Step-by-step explanation:

Answer:

13/12=37

Step-by-step explanation:

Answer:

OC

Step-by-step explanation:

3(b-2)

3(10-2)

3(8)

24