A bridge connecting two cities separated by a lake has a length of 5927.261 yd. use the table of facts to find the length of the bridge in miles. Round your answer to the nearest tenth.

Answer:

(4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)

Step-by-step explanation:

Given the rectangular coordinate

(2√3,-2)

x = 2√3

y = 2

For polar coordinate;

x =r cos theta

y = rsin theta

r = √x²+y²

r = √(2√3)²+(-2)²

r = √4(3) + 4

r = √12+4

r = 4

theta = arctan(y/x)

theta = arctan(-2/2√3)

theta = arctan(-1/√3)

theta = -30

theta = 180 - 30

theta = 150degrees

x = 4cos 150

y = 4sin150

The polar coordinate is (4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)

The polar coordinates of the point are

9514 1404 393

Answer:

  B.  21%

Step-by-step explanation:

The number of students in grade 11-12 is given in the total column: 120.

The number of those who like rock music is given in the second column: 25.

Then the percentage in 11-12 grade who like rock music is ...

  25/120 × 100% ≈ 20.833% ≈ 21%

Cos x = 5 / 9 ==》 Cos x = 0.55

==》 x = 56 degrees

Answer:

22/55 and 20/55

Step-by-step explanation:

multiply 2 and 5 by 11 to get 22/55, and multiply 4 and 11 by 5 to get 20/55

Answer:

The pvalue of the test is 0.0537 > 0.02, which means that there is not sufficient evidence to support the power company's claim at the 0.02 level of significance.

Step-by-step explanation:

The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,941 kilowatt hours (kWh) of electricity this year.

This means that the null hypothesis is:

[tex]H_0: \mu = 10941[/tex]

A local power company believes that residents in their area use more electricity on average than EIA's reported average.

This means that the alternate hypothesis is:

[tex]H_a: \mu > 10941[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

10941 is tested at the null hypothesis:

This means that [tex]\mu = 10941[/tex]

To test their claim, the company chooses a random sample of 115 of their customers and calculates that these customers used an average of 11,425kWh of electricity last year. The population standard deviation is of 3217kWh:

This means that [tex]n = 115, X = 11425, \sigma = 3217[/tex]

Value of the z-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{11425 - 10941}{\frac{3217}{\sqrt{115}}}[/tex]

[tex]z = 1.61[/tex]

Pvalue of the test:

Probability of finding a mean above 11425, which is 1 subtracted by the pvalue of z = 1.61.

Looking at the z-table, z = 1.61 has a pvalue of 0.9463.

1 - 0.9463 = 0.0537

The pvalue of the test is 0.0537 > 0.02, which means that there is not sufficient evidence to support the power company's claim at the 0.02 level of significance.

Answer:

c

Step-by-step explanation:

Here are the options

A 36 students and 2 chaperones B. 54 students and 3 chaperones O C 90 students and 4 chaperones D 108 students and 6 chaperones

We have to simply the ratio of students to chaperones to its lowest form .

126 : 7 = dividing number of students and chaperones by 7 gives :  18:1

36 : 2 = dividing number of students and chaperones by 2 gives : 18:1

54 : 3 = dividing number of students and chaperones by 3 gives : 18:1

90 : 4 = dividing number of students and chaperones by 4 gives : 22.5 : 1

108 : 6 = dividing number of students and chaperones by 6 gives : 18:1

It can be seen that it is only 90:4 that does not have the same ratio as that given in the question

Answer:

x = 6, x = -4

Step-by-step explanation:

Step-by-step explanation:

1. yes 4+16 = 20

2. yes 32 - 4 = 28

3. yes 4(10) = 40

4. no 24/6 = 4

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

1.yes

2.yes

3.yes

4.no

Answer:

A

Step-by-step explanation:

The statement 'the bike distance is greater than the run distance.' must be true.

The correct answer is option D.

"It is the length of the line joining the two points."

In any triangle,

For given example,

We have given two angles of triangle.

65° and 57°

We know, the sum of all angles of triangle is 180°.

Let 'x' be the remaining angle.

⇒ x + 65° + 57 = 180°

⇒ x +122° = 180°

⇒ x = 58°

We know,

In any triangle,

- the smallest side and smallest angle are opposite one another.

- the mid-sized side and mid-sized angle are opposite one another.

- the largest side and largest angle are opposite one another.

Here,

57° < 58° < 65°

⇒ Run < Bike < Swim

This means, the statement 'the bike distance is greater than the run distance.' is correct.

The correct answer is option D.

Learn more about angle here:

https://brainly.com/question/8729556

#SPJ2

Answer:

80 cents

Step-by-step explanation:

Answer:

80 cents

Step-by-step explanation:

if you multiply 5 by 20 cents, you will get 100, now, if you know where I'm going, every time she buys 5 pencils she pays 20 cents, so if she buys 20 pencils, it will cost her 80 cents, Hope this helped! mark me brainiest if you can!

Answer:

64° and 116°

Step-by-step explanation:

2x + 52° = 180°

2x = 128°

x = 64°

Answer:

SAS ~

Step-by-step explanation:

Answer:

my head hurts also

Step-by-step explanation:

Answer:

1. C: three | V: y

2. C: 7 | V: p

3. C: four | V: x

4. C: sixteen, ten | V: k

5. C: two, twenty | V: g (I believe that's a "g" and not a "9" due to OCR scanning! and even logically that should be a letter to represent the variable so that the expression is correct)

6. C: six, twelve | V: p

7. C: twenty, eight | V: h

8. C: four, five | V: x

9. C: fifteen | V: f

10. C: two, forty | V: d

Is there a question to answer?

Answer:

i dont know

Step-by-step explanation:

Answer:

151.4496

Step-by-step explanation:

it has not been rounded or anything that is the exact answer

Answer: 151.45 (151.4496)

Step-by-step explanation:

Formula: A = (a+b)/2 * h

Base = 22.2

Base = 8.52

Height = 9.86

Do the following:

(22.2+8.52)/2 * 9.86 = 151.4496

Answer:

Hello your question is incomplete attached below is the complete question

answer : 192.15 pounds

Step-by-step explanation:

Given :

weight =  - 99.41 + 3.94*Height

R^2 = 0.81

SER = 10.2

Determine the regression weight prediction

Height of man = 74 inches

Hence : weight = - 99.41 + 3.94 * 74 = 192.15

therefore the regression weight prediction = 192.15 pounds

Answer:

25 families living near the school

Step-by-step explanation:

Answer:

25 families living near the school :D

Step-by-step explanation:

Answer:

least common denominator = 7y

Step-by-step explanation:

3/y = 21/7y

1/7y and 21/7y have a least common denominator of 7y.

Answer:

report

Step-by-step explanation:

Answer:

Step-by-step explanation:

Report???? What

Answer:

[tex]20[/tex]

Step-by-step-Explanation:

Remember, the Pythagorean Theorem.

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]21^{2} + b^{2}=29^{2}[/tex]

[tex]29^{2} -21^{2} =400[/tex]

sq rt of [tex]400=20[/tex]

Answer:

He wrote the word "ease"

Answer:Each baseball cost $2.79.Each baseball cost $25.11.The value of c can be found using the formula  .The value of c can be foun

Step-by-step explanation:

Answer:

7.7

Step-by-step explanation:

Answer:

77 divide by 10 answer is 7.7