Why is it reasonable to use the same units to describe circles and measure of angles?

Answers

Answer 1

Answer:

The more familiar unit of measurement is that of degrees. A circle is divided into 360 equal degrees, so that a right angle is 90°.

Explanation:

The unit circle, or trig circle as it's also known, is useful to know because it lets us easily calculate the cosine, sine, and tangent of any angle between 0° and 360° (or 0 and 2π radians)


Related Questions

What is the slope of the red and blue line

Answers

Answer:

red=-1/4 blue= 4/1

Step-by-step explanation:

rise/run

Henri challenges Emile to a walking race. Because Emile's walking rate is faster, Emile gives Henri a 45-meter head start. Emile knows his brother would enjoy winning the race, but he does not want to make the race so short that it is obvious his brother will win. How long should the race be so that Henri will win in a close race?

Answers

Answer:

about 29 seconds and 74 meters

Step-by-step explanation:

Starbucks opened two new locations. Location A costed $800 to open but makes $100 a month. Location B costed $1200 to open but makes $200 a month. Determine how long it will take for the locations to have made the same amount after paying off their costs and how much that amount is. *

Answers

Answer:

I think it is A that will take longer but im not 100 percent sure

Step-by-step explanation:

First write an equation:

Location A-   800+100x

Location B-  1200+200x

Then you need to plug numbers in for x

Tina found $4.75 at the bottom of her purse and added it to her wallet. She later bought milk and eggs for $6,55 and had
$5.43 left in her wallet
Tina wants to know how much money she had in her wallet before adding the amount she found in her purse (%). Choose ALL
equations in which x correctly represents the amount in her wallet before adding the amount she found,
A)
$6,55 - x + $4.75 - $5.43
B)
x + $4.75 - $6,55 - $5.43
C)
$5.43 -
$6.55 - $1.75 -
Eliminate
D)
$4.75 - $6.55 - $5.43 - X
E)
$5,43 - x + $4.75 - $6.55

Answers

Step-by-step explanation:

step 1. x + 4.75 - 6.55 = 5.43

step 2. looks like b is the only answer.

Answer:

i need help wit this

Step-by-step explanation:

Simplify to a single power of 5

Answers

Answer:

7

Step-by-step explanation:

multiplying exponents adds them together... 5+2=7

The answer is simply seven

n is an integer.
Write the values of n such that -15 < 3n <6
I need know please

Answers

Answer:

-5<n≤2

Step-by-step explanation:

Divide 3 by -15 nad 6 since we need to find the "n" we need to divide on all sides, so -15 divided by 3 is -5 so replace -15 with -5 and 6 divided by 3 is 2 so replace 6 with 2

The data set shows the lengths, in minutes, of different musical performances.
36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20
What is the interquartile range (IQR) of the data set?

Answers

Answer: It has to be 22.5

Step-by-step explanation: Since this is a quiz, I won't tell you how to solve it, i'll give you some clues. But with what I know is; you have to  find the (Q1) and (Q3) Then see what the difference is between  the quartiles, and that should be your answer.

The interquartile range (IQR) of the data set is 19.

It is required to find the interquartile range (IQR) of the data set.

What is statistics ?

Statistics are defined as numerical data, and is the field of math that deals with the collection, tabulation and interpretation of numerical data. It is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.

Given:

The date are arranged from ascending order

9,14,15,18,20,22,29,36,36,42,45,51

Now you have one lower half with the numbers 9,14,15,18,20,22 and an upper half with the numbers 36,36,42,45,51.

As you can see in the figure, you have to find the median for these lower and upper halfs, so you have:

[tex]Q_{1} =16\\\\Q_{3} =35\\[/tex]

Now we can find the interquartile range that is:

[tex]IQR=Q_{3} -Q_{1}\\\\IQR=35-16\\\\IQR=19[/tex]

Therefore, the interquartile range (IQR) of the data set is 19.

Learn more about statistics here:

https://brainly.com/question/23091366

#SPJ2

Factor the expression 49t4 - 25 using the polynomial identity (x2 - y2) = (x - y)(x + y)

Answers

Answer:

Step-by-step explanation:

49t^4-25

(7t^2-5)(7t^2+5)

please help with question ​

Answers

Answer:

70

Step-by-step explanation:

180 - (90) - (20)

90 - 20

70

70 because 90-20 so that will equal 70

PLEASE HELP I AM STUCK

Answers

Answer:

Do the pythagor theorem and add 5

It's 65

Beth’s brother is 140% of Beth’s height. If Beth’s brother measures 140cm, how tall is Beth?

Answers

Answer:

100 cm

Step-by-step explanation:

let x be the height of Beth

and y be the height of Beth's Brother

By 1st Condition

y = 140% * x

y = (140/100) * x

y = 1.4 x ..........................(Eq 1)

By 2nd Condition

y = 140

Put the value of y in the equation 1

140 = 1.4 *x

x = 140 / 1.4

x = 100 cm

Dagny Taggart has just purchased a home and taken out a $300,000 mortgage. The mortgage has a 25 year term with monthly payments and has an APR of 6% (monthly compounding). The total amount of interest that Dagny will pay during the first month of her mortgage is closest to:

a.
1923.24

b.
1816.93

c.
1500

d.
1485

Answers

Answer:

c.

1500

Step-by-step explanation:

The computation of the total amount of interest in first month is shown below:

Interest for first month is

= Mortgage amount × interest rate ÷ total number of months in a year

= $300,000 × 6% ÷ 12  

= $1,500

Hence, the interest in the first month is $1,500

Therefore the c option is correct

What is the approximate height of the building? Round to the nearest tenth of a foot. feet

Answers

Answer:

22.5 feet

Step-by-step explanation:

The approximate height of the building is to be considered as the 22.5 feet that should be Round to the nearest tenth.

Calculation of the height:

Since

A 26-foot-long ladder is leaning against a building at a 60 degree angle with the ground.

We know that

sin θ = Perpendicular/Hypotenuse.

So

here we assume p be the Perpendicular

So,

sin60 = p/26.

p = 26*sin60.

p = 22.5

hence, The approximate height of the building is to be considered as the 22.5 feet that should be Round to the nearest tenth.

Learn more about height here; https://brainly.com/question/21005254

–5(–2) also i checked and apparently its not -7

Answers

Answer:

Im pretty sure you need to multiply answer is 10

Step-by-step explanation:

because the -5and -2 are right next to each other and if -7 doesn't work thats the next best thing.

What is 730 divided by 30

Answers

Answer:

24 1/3

Step-by-step explanation:

long division

-5/6+1/4

Simplify if needed
Brainliest

Answers

Answer:

-7/12

Step-by-step explanation:

-5/6 + 1/4 (LCM is 12)

-10/12 + 3/12

-7/12

What 5 divided by 4.25.

Answers

Answer:

Step-by-step explanation:

5 divided by 4.25 =  85 reminder 0

48/96 in its simplest form

Answers

Answer:

1/2

Step-by-step explanation:

just divide it I guess

1/2

48/2

=24/2

=12/2

=6/2

=3

Hope this helps :D

An underground aquifer near Seiling, Oklahoma, sits on an impermeable layer of limestone. West of Seiling the limestone layer is thought to slope downward in a straight line. In order to map the limestone layer, hydrologists started at Seiling heading west and drilled sample wells. Two miles west of Seiling the limestone layer was found at a depth of 220 feet. Three miles west of Seiling the limestone layer was found at a depth of 270 feet
(a) What would you expect to be the depth of the limestone layer 5 miles west of Seiling
(b) You want to drill a well down to the limestone layer as far west from Seiling as you can. Your budget will allow you to drill a well that is 275 feet deep. How far west of Seiling can you go to drill the well? (Round your answer to one decimal place.)

Answers

Answer:

(A) 490ft.

(B) 2.8 miles

Step-by-step explanation:

Important points to note:

- The limestone layer is thought or assumed to slope downward in a straight line.

- 2 miles west of Seiling, the limestone layer was found at a depth of 220ft.

- 3 miles west of Seiling, the limestone layer was found at a depth of 270ft.

(A) What would you expect to be the depth of the limestone layer, 5 miles west of Seiling?

The expected depth of the limestone layer is:

2 miles + 3 miles = 5 miles

220ft + 270ft = 490ft

(B) Your budget will allow you drill a well that is 275ft deep. How far west of Seiling (in miles) can you go, to drill the well?

If 490ft  ~  5 miles

then 275ft  ~  K miles

K = [275 x 5] / 490  = 2.80612245 miles

Rounding to 1 decimal place, the distance is 2.8 miles.

It is important to comparison shop when purchasing a car.
What does comparison shop mean?

-Always buy from a
local dealership
-Take several photos to
use for comparison
-Compare the price &
quality from different
vendors
-Compare the true
market value of every
vehicle

Answers

Answer:

Compare price and quality

Step-by-step explanation:

I did this test

Answer:

option c

Step-by-step explanation:

comparing the price and quality from different vendors is important as we are giving a money we should be sure enough that quality is also as much the money

1. 25% of 300
2. 20% of what number is 50?
3. What percent of 120 is 40?
4. If 20% of 60 is 12. Which represent the percentage?
5. Which represent the base?​

Answers

Answer:

rawrrrrrr

Step-by-step explanation:

rawrrrrrrrrrrrrrrrr

1. 75
2. 250
3. 33.33
4. 20% I think?
5. I’m not sure

help and please explain will give brainliest

Answers

Answer:

2.83

Step-by-step explanation:

36 pi = pi×r×r×h

36=r×r×h

h= 4

36= r×r×4

8=r×r

[tex] \sqrt{8} = x[/tex]

r= 2.83

The ratio of the three angles of a triangle is 2:4:6. What is the measure of the
SMALLEST angle?

Answers

The measures of the angles are 30, 60 and 90 degrees.
Explanation:
I assume the question should read "the measures of the ANGLES of the triangle are in the ratio 2:4:6.
If the angles are in the proportion 2:4:6, the measures of the angles have the same scale factor
x
. And, the sum of the measures of the angles of a triangle is
180
.

2
x
+
4
x
+
6
x
=
180

12
x
=
180

12
x
12
=
180
12

x
=
15

The measures of the angles are:
2
x
=
2
(
15
)
=
30

4
x
=
4
(
15
)
=
60

6
x
=
6
(
15
)
=
90

There is a line who slope is 3 and who’s Y intercept is -10. Right it’s equation in slope intercept form

Answers

Step-by-step explanation:

substitute the given value in the standard form equation. it will give you the slope intercept form

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 391 drivers and find that 319 claim to always buckle up. Construct a 85% confidence interval for the population proportion that claim to always buckle up.

Answers

Answer:

The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

They randomly survey 391 drivers and find that 319 claim to always buckle up.

This means that [tex]n = 391, \pi = \frac{319}{391} = 0.8159[/tex]

85% confidence level

So [tex]\alpha = 0.15[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.15}{2} = 0.925[/tex], so [tex]Z = 1.44[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 - 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.7877[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 + 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.8441[/tex]

The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).

Ms. Rathman has 5 nickels, 3 dimes, and 2 quarter. In how many ways can she make change
for 50¢? Make a systematic list to answer this question

Answers

Answer:

I guess 5

Step-by-step explanation:

2 q 0 n 0 d

1 q 1 n 2 d

1 q 3 n 1 d

1 q 5 n 0 d

0 q 3 d 4 n


[tex]obtain the fourier expansion for sin ax in the interval - | \leqslant \times \leqslant | [/tex]

Answers

I really do not get it . It’s this a question ? If so can you be a little more specific .


[tex]53 \times \frac{8}{6} [/tex]
i dont know how to do it can u show me​

Answers

Answer:

What do you want your answer in? Exact or decimal form?

Exact form: 212/3

Decimal form 70.6

Step-by-step explanation:

Cancel the common factor of 8 and 6 for 53 * 4/3. Multiply 53(4/3), 212/3. This would be the answer for the exact form, decimal form is created by dividing 212 by 3, for 70.66666--.

53x8
____

1x6


Do that and ur answer

Word problem please help thank you

Answers

Answer:

The equation would be           P(t) = 280t + 3310              

The estimated number of moose in 2008 would be 8350 moose.

Step-by-step explanation:

First we will have to find out by how much will the number of moose increase each year. In order to do that we the number by which the population of moose increase, by the difference between 1991 and 1999. And so we get...

[tex]\frac{5830-3590 }{1999 - 1991} = \frac{2240}{8} = 280[/tex]

Now that we know by how much the number of moose increases each year, we can make the following equation...

Let "t" be the number of years from 1990, then...

P(t) = 280t + 3310

(if you are wondering why is it 3310, it is because you have to put in the number of moose that was there in 1990 and you can get that number by substracting 280 from the number of moose in 1991).

Based on the linear relation we figured out, the number of moose in 2008 would be predicted to be...

P(t) = 280t + 3310

P(2008 - 1990) = 280(2008 - 1990) + 3310

P (18) = 280(18) + 3310

P(18) = 8350

2. Izza walked 5 steps forward, 8 steps backward, 9 steps forward and 3 steps backward. How
many steps is Izza from where she started?
3. Samuel was at the ground floor when he decided to go to the fourth floor. He then went down 2
or and went up 7 more floors. Where is he now?
On a winter night the temperature dropped f.rom -6°C to -15°C. How many degrees did the
Tamperature drop?​

Answers

Answer:

Izza walked 3 steps forward

samuel is on the 9th floor

-9 degrees

Step-by-step explanation:

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