Convert the degree measure to radian measure as a multiple of pi and as a decimal rounded to three decimal places.

Convert The Degree Measure To Radian Measure As A Multiple Of Pi And As A Decimal Rounded To Three Decimal

Answers

Answer 1

Step-by-step explanation:

remember, 360° (the full circle) = 2pi

a)

60° = 60/360 × 2pi = 2pi/6 = pi/3 = 1/3 × pi =

= 1.047197551... ≈ 1.047

b)

210° = 210/360 × 2pi = 210/180 × pi = 7/6 × pi =

= 3.665191429... ≈ 3.665

c)

225° = 225/360 × 2pi = 225/180 × pi = 45/36 × pi =

= 5/4 × pi = 3.926990817... ≈ 3.927

d)

120° = 120/360 × 2pi = 2pi/3 = 2/3 × pi =

= 2.094395102... ≈ 2.094


Related Questions

change this to an improper fraction 3 1/8

Answers

Answer: 25/8

Step-by-step explanation:

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

Change 3+1/8 to an improper fraction.

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

First, multiply the whole part (3) times the denominator (8):-

[tex]\bold{3\times8=24}[/tex]

Now add the numerator:-

[tex]\bold{25}[/tex]

That's the numerator of the improper fraction, and the denominator stays the same.

[tex]\bigstar[/tex] Therefore, the fraction is

[tex]\bold{\dfrac{25}{24}}[/tex]

Good luck.

[tex]\rule{300}{1}[/tex]

how much greater is 8 x 10 to the 5 power then 8 x 10 to the -1 power

Answers

Answer:

8x10 to the 5 power is 8,000,000 and 8x10 to the -1 power is .8

Step-by-step explanation:

To solve the first problem, you multiply 8 and 10 which gives you 80. Next you move the decimal point 5 spaces to the right which gives you 8,000,000. To solve the second problem, you multiply 8 and 10 which gives you 80. Because you have a negative power you move your decimal point to the left 1 space which gives you .8


What is the number sentence for "1 less than N is the sum of Z and
2"?

Answers

Answer:

N–1=Z+2 should be the solution.

A food truck is serving a special lunch combo meal that includes a drink, a main dish, and a dessert.
Customers can choose from 2 drinks, 4 main dishes, and 3 desserts.
How many different combo meals are possible?
Select from the drop-down menu to correctly complete the statement.
Customers can create Choose... different lunch combo meals.

Answers

Answer:

It's 90 if you go through k12 :]

Step-by-step explanation:

The number of ways to choose a combo meal is 24.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

2 drinks, 4 main dishes, and 3 desserts

Now,

To find the number of different combo meals possible, we can use the fundamental counting principle. This states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.

2 ways to choose a drink

4 ways to choose a main dish

3 ways to choose a dessert

2×4×3=24

Therefore, by algebra the answer will be 24.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

For any number n>1, is
|( 1/2 + 3/4i)^n|

A. Greater than one
B. Less than one
C. Equal to one

Answers

Based on the calculations, for any number n > 1, [tex]|(\frac{1}{2} + \frac{3i}{4} )^n|[/tex] is less than one but not greater than or equal to one.

How to solve the equation?

First of all, we would simplify the equation by using the lowest common multiple (LCM) of the fractions as follows:

[tex]|(\frac{2\;+\;3i}{4} )^n|[/tex]

By applying exponent rule, we have:

[tex](a.b)^n=a^n \times b^n\\\\|(\frac{(2\;+\;3i)^n}{4^n} )|\\\\|(\frac{(2\;+\;3i)^n}{(2^2)^n} )|[/tex]

By applying exponent power rule, we have:

[tex]|(\frac{(2\;+\;3i)^n}{2^{2n}} )|[/tex]

Assuming n = 2, we have:

[tex]|(\frac{(2\;+\;3i)^2}{2^{2\times 2}} )|\\\\|(\frac{(2\;+\;3i)^2}{2^{4}} )|\\\\|(\frac{-5\;+\;12i}{16} )|[/tex]

Therefore, for any number n > 1, [tex]|(\frac{1}{2} + \frac{3i}{4} )^n|[/tex] is less than one but not greater than or equal to one.

Read more on complex equations here: https://brainly.com/question/15007300

#SPJ1

i need help with 7th grade math 30 points and brainleist ASAP

Answers

Answer:

The scale factor is 8. The model is scaled by 8 to get the sculpture.

If they want it in reverse, the answer is 1/8. The model is 1/8th of the sculpture's size.

Sculpture = scale factor * model

[we get this equation because the model must be turned into a sculpture so we want to find how much bigger the model is compared to sculpture]

Let's take the length of the sculpture and model to put in.

x

56 = scale factor * 7

56/7  = scale factor

8 = scale factor

Answer:

1/8

Step-by-step explanation:

Take the scale factor as a ratio between the model and the sculpture.

Take any of the listed dimensions (length, for example) and divide.

7/561/8

helppppppppppppppppppp

Answers

Answer:

√60

Step-by-step explanation:

6² = 36  ⇒  √36 = 6

8² = 64  ⇒  √64 = 8

⇒ 6 < x < 8

⇒ √36 < x < √64

Therefore, we need the square root of a number between 36 and 64.

From the given options, √60 is the only available option as:

√36 < √60 < √64

⇒ 6 < √60 < 8

Therefore, √60 is greater than 6 and less than 8.

√60

Because

Square of rest two numbers

6²=368²=64

As

60 lies in between 36 and 64

So

√60 lies in between 6 and 8.


Each vertex of a quadrilateral is dilated by a scale factor of about the
point P (-7, 4). What will be the effect on the perimeter of the resulting lens
figure?

Answers

Answer:

write an article for publication in the daily graphic on the topic every school must have a library

Find the slope of the line graphed below
picture is attached




Answers

Answer: The answer is D.

Answer:

it is d cause i really need to be nice so i think it is d

For the graph given, select the statement that best represents the given system of equations.6x + 4y = 2 3x + 2y = 1

A. inconsistent
B. consistent and independent
C. not enough information
D. coincident

Answers

Answer:

D. coincident

Step-by-step explanation:

An coincident system of equations means that it has infinite solutions, because one line is on the other one. This happens when their equation are the same, or their "parent" line is the same.

So, given equations are:

6x + 4y = 2 and 3x + 2y = 1

Observe that if we divide the first by 2, we have

[tex]\frac{6x+4y}{2} =\frac{2}{2}[/tex]

[tex]\frac{6x}{2}+\frac{4y}{2} =1[/tex]

[tex]3x+2y=1[/tex]

As you can see, using the first equation, we found that it has the same "parent" equation than the second equation. In other words, they are basically the same. This means that they represent the same line, so, the system is coincident and they have infinite solutions.

The answer is coincident :)

Robert delivers papers every morning. On Sundays he has to deliver 65 papers and on each of the other days he only has to
deliver 38 papers. How many papers does Robert deliver each week?
A. 455
B. 331
C. 255
D. 293

Answers

Answer:

D. 293

Step-by-step explanation:

He delivers 38 papers each day of the week except sunday, so six days a week

38 x 6 = 228

228 + the 65 he delivers on sunday = 293 papers a week

A carton of half & half costs $.98 for 4 cups. What is the cost per cup?

Answers

Answer:

$00.245

Step-by-step explanation:

.98/4=00.245

please mark brainliest

i need help with 7th grade math please 45 points need help ASAP + brainleist

Answers

Answer:

Area = 601.8760801 ft^2

Step-by-step explanation:

Area of Rectangle: Area = Length* Height

Area of a Semi-Circle = π*r^2 /2

Area of Rectangle: Area = 14 * 21 = 294 ft^2

Area of a Semi-Circle = π * 14^2 / 2 = π * 196/2 = π * 98 ft^2

Add the Two Area: 294 ft^2 + 98π ft^2 = 601.8760801 ft^2

Answer:

77.98 ft

Step-by-step explanation:

Perimeter :

2(21) + 14 + 3.14 x 742 + 14 + 21.9856 + 21.9877.98 ft

Pls hurry need done soon no bots Find the area

Answers

Answer:

12

Step-by-step explanation:

Split into 2 shapes, the to find the area of the triangle you multiply base×height divided by 2.

4×3=12

12/2=6

after that find the area of the rectangle

2×3=6

add the area's together

6+6=12

ayuda plis /help please ​

Answers

Answer:

a. 8

b. -12

c. 18

d. -22

e. 14

f. -2

g. -16

creo q seria asi no estoy muysegurappp

A right triangle has a length of 30 and a side with a length of 18. A side with a length of 24 is opposite angle theta. What statement about the angle theta is true?


HELP QUICKLY PLEASE

Answers

Answer:

[tex]\text{A. }\cos \theta = \frac{3}{5}[/tex]

Step-by-step explanation:

See attached file for complete work.

HELPPPPPPPPP MEEEE PLEASEEEEEE

Answers

Answer:

525 ml

Step-by-step explanation:

7 + 4 = 11 ml  

825 ml ÷ 11 ml = 75 units for 1 part ( or A or B ) of drug

75 × 7 ml = 525 ml of part A

and

75 × 4 = 300 ml of part B

find the value of x. Cos(67°) = x/1​

Answers

Answer:

The value of cos 67° is equal to the x- cordinate ( 0.3907 ). therefore, cos 67° = 0.3907

help please i need help​

Answers

a) Line AE, and Line BC are parallel

b) Line ED, and Line CD

c) 3

Step-by-step explanation:

Multiple Choice Question 5 of 14 Is the quadrilateral a parallelogram, rectangle, rhombus, or square? Select all that apply.

A) square 5
B) rhombus
C) parallelogram
D) not enough info or none of these
E) rectangle​

Answers

Answer: B, C

Step-by-step explanation:

All four sides are congruent, so it is both a rhombus and a parallelogram.

It is not a rectangle because we do not know if two of the sides are perpendicular. From this, we also cannot tell if it is a square.



a) I have three times as much money as does my brother. Our combined total is 24. How much does each of us have?

Answers

Answer:

Brother has $6

I have $18

Step-by-step explanation:

To answer - you have to write the equation out. Money I have is (3x) and Brother's money is x. :)

Write an equation that represents the line.
Use exact numbers. please help and i cant get it wrong if ur answer isn’t right pls don’t put it fr

Answers

Answer:

y = (3/4)x-9/2

Step-by-step explanation:

We've got two points, (-2, -6) and (2, -3). That's more than enough info to construct a line. The slope of the line is the ratio between the change in y (Δy) and the change in x (Δx). Here, Δy = -3 - (-6) = -3 +6 = 3, and Δx = 2 - (-2) = 2 + 2 = 4, so the slope is Δy/Δx = 3/4. From here, we can use the point-slope form of a line to get a general equation. With the slope m = 3/4 and choosing the point (2, -3), we have

[tex]y-y_1=m(x-x_1)\\y-(-3)=(3/4)(x-2)\\y+3=(3/4)x-3/2\\y=(3/4)x-3/2-3\\y=(3/4)x-3/2-6/2\\y=(3/4)x-9/2[/tex]

The product of two consecutive positive even numbers is 960. What are the numbers?

Answers

30 x 32 = 960
Consecutive positive even numbers
I found it by finding the square root and using that (30.98) as my midline to try numbers near it.

Rewrite without parentheses and simplify.
(2-5y)²

Answers

Answer:

Your answer is in the Picture.

Step-by-step explanation:

Visit cymath is you want to factor polynomial or simply for you.

Identify the two whole numbers between which the product lies 7x8/10

Answers

Hey there!

7 * 8/10

= 7/1 * 8/10

= 7/1 * 8 ÷ 2 / 10 ÷ 2

= 7/1 * 4/5

= 7(4) / 1(5)

= 28/5

≈ 5.6

= 5 3/5


So, therefore the answer should be:

Anywhere BETWEEN 5 & 6


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Answer:

  5 and 6

Step-by-step explanation:

The product of the whole number and fraction is ...

  7×(8/10) = (7×8)/10 = 56/10 = 5.6

This lies between 5 and 6.

Find the missing side

Answers

Answer:

[tex]\huge\boxed{\sf x = 8.2}[/tex]

Step-by-step explanation:

Since it is a right-angled triangle, we will apply Pythagoras Theorem.

Given are:

Base = 16

Perpendicular = x

Hypotenuse = 18

Pythagoras Theorem:

[tex]\sf (Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]

(18)² = (16)² + (x)²

324 = 256 + x²

Subtract 256 to both sides

324 - 256 = x²

68 = x²

Take sqrt on both sides

8.2 = x

x = 8.2

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

We have,

Perpendicular = 16Hypotenuse = 18Base = x

We know that,

[tex] \large\boxed{\sf (Hypotenuse)^2=(Perpendicular)^2+(Base)^2}[/tex]

[tex]\longmapsto \sf \: (18)^2=(16)^2+x^2[/tex]

[tex]\longmapsto \sf \: (18)^2-(16)^2=x^2[/tex]

[tex]\longmapsto \sf \: x^2=324-256[/tex]

[tex]\longmapsto \sf \: x^2=68[/tex]

[tex]\longmapsto \sf \: x = \sqrt{68}[/tex]

[tex]\longmapsto \sf \: x ≈8.25 [/tex]

What is the equation of the line that is perpendicular to

Answers

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{4}}x+6 ~~ \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

therefore then

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{-3}\implies \cfrac{4}{3}}}[/tex]

so we're really looking for the equation of a line whose slope is 4/3 and passes through (3 , 9)

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{\cfrac{4}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-9=\cfrac{4}{3}x-4\implies y=\cfrac{4}{3}x+5[/tex]

The point {-1,5} is reflected over the y-axis. Where is the location of the new
image?
A (1,-5)
B(1,5)
C(5, 1)
D (-1,-5)

Answers

Answer:

B (1, 5)

Step-by-step explanation:

When a point is reflected over an axis, the coordinate which corresponds to that axis does not change. The other coordinate becomes negative with respect to the current value.

Hence, since the y-axis is mentioned, the y-coordinate does not change and the x-coordinate becomes negative.

New point = (-(-1), 5)New point = (1, 5)Option B

Answer:   The answer i "B"

Step-by-step explanation:   No need for a long explanation im sure of it the answer is surely, B

I really need help with this Helpppp please

Answers

square of 5=25

square of 10=100

cube of (-2) =-8

square of (-3)=9

14. A unfair coin has the probability of heads

3 / 8

and the probability of tails

5 / 8

. What is the probability
of tossing three heads in a row? Of tossing two heads followed by one tail? Of tossing two heads and one
tail in any order?

Answers

Answer :

the probability of tossing three heads in a row

[tex]=\left( \frac{3}{8} \right)^{3} =\frac{27}{512} =0.052734375[/tex]

…………………………………………

the probability of tossing two heads followed by one tail

[tex]=\left( \frac{3}{8} \right)^{2} \times \left( \frac{5}{8} \right) =\frac{45}{512}[/tex]

……………………………

the probability of two heads and one tail in any order

[tex]=3\times \left( \frac{3}{8} \right)^{2} \times \left( \frac{5}{8} \right) =\frac{135}{512}[/tex]

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