The radius of a circle is 6 inches. What is the length of a 135-degree arc?

Answers

Answer 1
14.14 inches

Convert 135° into radians. 135*2pi/360=3pi/4.
6*3pi/4=18pi/4=9pi/2=14.14

Another viable method is to do 2pi*6*135/360=14.14

Related Questions

Which line plot (s) represents 2/4?

Answers

Answer:

Number 1= 5th vertical line

number 2= 2nd vertical line

number 3= halfway between 2nd and 3rd vertical line

Step-by-step explanation:

In order to make a specific shade of green paint, a painter mixes 1/2
of a gallon of blue paint with 4/5
of a gallon of yellow paint.

How many gallons of each color are needed to make 26 total gallons of this color?

Answers

10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.

Let x represent the total amount of paint.

(1/2)x + (4/5)x = 26

1.3x = 26

x = 20

Therefore:

Amount of blue paint = (1/2)x = (1/2)*20 = 10 gallons

Amount of yellow paint = (4/5)x = (4/5)*20 = 16 gallons

10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.

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Use the linear combination method to solve the system of equations. â€""3x 8y = 16 3x 4y = 8 What is the value of x? â€""1 0 1 2.

Answers

The value of x from the system of equation is 0

Given the systems of equation

–3x + 8y = 16

3x + 4y = 8

Using the elimination method.

Add both equations

-3x + 3x + 8y + 4y = 16 + 8

12y = 24

y = 24/12

y = 2

Substitute y = 2 into equation 2:

3x + 4y = 8

3x + 4(2) = 8

3x = 8 - 8

3x = 0

x = 0

Hence the value of x from the system of equation is 0.

Learn more on simultaneous equations here:https://brainly.com/question/185757

Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. Which of the following conclusions can you make about Chuy's plan? a. Chuy has a good plan and will have exactly $1,350 saved at the end of 27 weeks. b. Chuy must increase the amount he saves each week in order to meet his goal at the end of 27 weeks. c. Chuy will save more than he needs and will meet his goal in less than 27 weeks. d. There is not enough information given to make a conclusion about Chuy's plan. Please select the best answer from the choices provided A B C D

Answers

Answer: C: Chuy will save more than he needs and will meet his goal at the end of 27 weeks.

Step-by-step explanation: Divide the amount of money saved, $440, by the number of weeks, 8.

440/8 = $55.

This means $55 is the amount of money Chuy saves every week.

Multiply $55 by the number of weeks Chuy plans to save money, 27.

55 x 27 = 1,485.

Since the television costs $1,350 dollars, Chuy will save more than he needs and will meet his goal in less than 27 weeks.

What is the value of x?

Answers

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

option d is correct

[tex]\large\huge\green{\sf{Explanation:-}}[/tex]

The sum of all three angle of triangle is180°

[tex](8x + 5) + (5x - 1) + (4x + 6) = 180 {}^{o} \\8x + 5 + 5x - 1 + 4x + 6 = 180 {}^{o} \\ 8x + 5x + 4x + 5 - 1 + 6 = 180 {}^{o} \\ 17x + 10 = 180 {}^{ {}^{o} } \\ 17x = 180 - 10 \\ 17x = 170 \\ x = \frac{170}{10} = 17 \\ x = 17[/tex]

Find the area of each figure

Answers

30yd^2
Explanation-
B•h/2
10•6=60
60/2=30
:)

When the swimming pool is 25% full, it takes 2250 cubic meters (m3) to fill it up from that point. When it is full, it can be emptied at a rate of 120 m3/h. How many hours does it take to empty an 80% full pool?

Answers

Answer:

  20 hours

Step-by-step explanation:

The volume of water when the pool is 80% full can be found using the proportion ...

  2250/75% = v/80%

  v = (80/75)(2250) = 2400 . . . cubic meters

Emptying at the rate of 120 m³/h will take ...

  time = volume/rate

  time = (2400 m³)/(120 m³/h) = 20 h

It will take 20 hours to empty the pool from 80% full.

Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The table shows the function relating the number of pounds of apples, x, and the number of pounds of oranges, y, Lilly could purchase.

Apples (lb) Peaches (lb)
x y
0 10
1 8.75
2 7.5
4 5
6 2.5
8 0

Answers

Answer:

Different ways to answer this question

Step-by-step explanation:

You can do a ratio  of 1:4 apples and 1:5 oranges

what is the solution
3x-1/4 = -5/11
(3x-1)11 = -5(4)
33x-11 = -20
+11 = +11
33x = - 9
33x/33 = -9/33
x = -3/11

Answers

Answer:

3x-1/4=-5/1111 (3x-1)=4 (5)33x-11=2033x=20+1133x=31x=31/33x=?

I have a system of equations I don’t remember how to do :|

I forgot how to solve this, and I forgot how to find the slope…

Answers

Answer:

  x + y = 3 (infinite solutions)

Step-by-step explanation:

You observe that all of the numbers in the second equation are multiples of 3. When you divide the second equation by 3, it becomes identical to the first equation. The equations are said to be "dependent."

That means both equations graph as the same line, so will intersect at every point on the line. The system of equations has an infinite number of solutions.

_____

Additional comments

There are a number of ways to solve a system of equations. Two methods commonly taught are "substitution" and "elimination". Either one works here.

We can solve the first equation for y by subtracting x from both sides:

  x +y -x = 3 -x

  y = -x +3 . . . . . . simplify

In this form, the slope is the coefficient of x. Here, it is -1.

This expression for y can be substituted into the other equation:

  3x +3(-x +3) = 9

  3x -3x +9 = 9 . . . . . eliminate parentheses

  9 = 9 . . . . . . . . . . . simplify

This is true for all values of x or y. There are an infinite number of solutions.

Answer:

There are infinite numbers of solution.

Step-by-step explanation:

Question :

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\small\begin{cases}\sf{x + y= \bf{3}} \\ \\ \sf{3x + 3y= \bf{9}}\end{cases} \end{gathered}\end{gathered}\end{gathered}[/tex]

Solution :

Solving the question and finding the final answer.

Here,

x + y = 3 . . . (i)3x + 3y = 9 . . . (ii)━━━━━━━━━

Now, from equation (i),

[tex]\twoheadrightarrow{\sf{x + y = 3}} [/tex]

[tex]\twoheadrightarrow{\sf{x = 3 - y}} [/tex]

━━━━━━━━━

Now, putting the value of x in equation (ii)

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{3x + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{3(3 - y) + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 3y + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\red{9 = 9}}}}}}\end{gathered}[/tex]

This statement is true for all values of x and y.

So, there are infinite numbers of solution.

[tex]\underline{\rule{220pt}{3pt}}[/tex]

2/7x9 in simplest form

Answers

Answer:

2/63

Step-by-step explanation:

I'm going to assume that the x is a multiplication symbol.

7 x 9 = 63

Therefore, the simplest form would be 2/63

-4x+ lly = 15

pls help me

x=2y​

Answers

Answer:

y = 5

Step-by-step explanation:

-4(2y) +11y = 15

-8y + 11y = 15

3y = 15

y = 5

The perimeter of a rectangle is 80 feet.

Find the dimensions if the length is 5 feet longer than four times the width.

Then find the area of the rectangle.

Answers

Answer:

l=33 feet

w=7 feet

Area= 231 feet

Step-by-step explanation:

A racing track is shaped like an oval. Each time around
the track is 1.2 miles. The total distance for the
race is 480 miles.
What percentage is one lap around the track of
the total race?
(b) How many laps will it take to complete 75% of the
race?

Answers

Answer:

Percentage of one lap around the track of

the total race = 0.25%

It will take 300 laps to complete 75% of the race.

Step-by-step explanation:

1.2/480=0.0025

0.0025*100=0.25

480/100*75= 360

360/1.2=300

Question 3 of 5
764 =
O A. 16
OB. 4
O c. 2
O D. 8

Answers

Answer:

b. 4

Step-by-step explanation:

I hope this helps!!

The answer is B equal to four

Which of these is a correct statement regarding payday loans

Answers

Step-by-step explanation:

I think your question is not complete

resend it if you don't mind

They're easier to get than both mortgages and car loans

Plz help with this question.If can't do it don't answer.

Answers

Answer:

the total surface area of this triangular prism is 976cm2

Answer:

i think TSA = 976 cm²

Step-by-step explanation:

TSA = 2(1/2×14×24) + (14+25+25)×10

TSA = 2(7×24)+(64×10)

TSA = 336+640

TSA = 976 cm²

Given g(r) = 3 – 8r, find g (–3).

Answers

Answer: R = 3/5

Step-by-step explanation:

i think

Select all the intervals where f is increasing.

A. −3 < x < −2
B. -1.5 < x < 0
C. 3.5 < x < 4.5
D. None of the above

Answers

Step-by-step explanation:

since f(x) is overall increasing for the interval -3 < x < 0,

A and B both fit in there and are correct answers.

Answer:

C. 3.5 < x < 4.5

Step-by-step explanation:

Anything that is above 1 (4, 9, etc)  is increasing and anything that is below 1 (0.4, -3, etc) is decreasing. A and B are wrong because they are negative or below 1 and it isn't D because C is increasing.

read what on the image and it is so easy

Answers

F - 1.47

The largest box represents 100 small cubes or 1. The four pillars represent 10 and there is four of them so it is 40. Then, the individual cubes are 7. So, 1.47.

What is the equation for the line perpendicular to y=3/2x + 2 that contains (3, -5)?

Answers

Answer:

B?

COREEC IF WRONG

Answer:

y=-2/3x-3

Step-by-step explanation:

let the slope of the given line =m1

let the slope of the perpendicular line,=m2

m2=-1/m1

m2=-1/3/2

m2=-2/3

Now the equation of the perpendicular line

y--5=-2/3(x-3)

y+5=-2/3(x-3)

3y+15=-2x+6

3y=-2x+6-15

3y=-2x-9

y=-2/3x-3

True or False. If true, give a convincing argument. If false, explain why it is false. Be sure to use mathematical language in your explanation.

As an airplane flies toward you, its angle of elevation increases.

Answers

Answer:

True.

Step-by-step explanation:

We assume that the plane is flying at a constant height above the ground.

The angle of elevation is the angle made between the plane, you and the point on  the ground directly below the plane. As the plane approaches you the distance between you and the point on the ground decreases and therefore the angle of elevation increases.

PLS HELP ME I WILL GIVE BRAINLESS] Solve the problems. AA + 5 JoJo Seaweed walks at a constant rate d. able shows the relationship of feet to seconds. What is the constant of proportioiyality for the relationship of feet to minutes? Record your answer on the grd. Then fill in the bubbles. Feet 8 80 160 Seconds 2. 20 40 |​

Answers

Answer:

I think that if u times it i will be 80 s and 320 f

Step-by-step explanation:

The water level in a tank measures 15 inches and is decreasing 0.5 inches every
minute.
How many minutes, x, will it take for the water level to measure 9 inches deep?

Answers

Answer:

The answer is 12 minutes

Step-by-step explanation:

This is because if you're seeing how long it takes to get from 15 inches to 9 inches, that is a difference of 6 inches.

6 / 0.5 inches per minute = 12 minutes

The tank would take time of 12 minutes for the water level to measure 9 inches deep.

What is the two-step problem?

A two-step problem is a word problem that must be addressed in two steps. While many of these questions have only one step, a two-step word problem requires the solution of two separate equations.

Two separate operations (like multiplication and addition) or two of the same operation may be utilized in the two-step word problem (like subtraction and subtraction).

Given a tank measurement of 15 inches, it shrinks by 0.5 inches per minute.

We must calculate the minute when the water level reaches 9 inches deep.

The difference in inches is 6 inches.

15 inches - 6 inches = 9 inches

Calculating for minutes,

⇒ 6 / 0.5

⇒ 12 minute

Therefore, the tank would take time of 12 minutes for the water level to measure 9 inches deep.

To learn more about the two-step problem click here :

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#SPJ5

what is the modulus of the complex number -4+3i

Answers

The modulus of the complex number -4+3i is 5.

Complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit,

A complex number is a number of the form a + bi, where a and b are real numbers.

The modulus (z) of a complex number x + iy is given by:

z = √(x² + y²)

The modulus of the complex number -4+3i is:

[tex]z=\sqrt{(-4)^2+3^2} =\sqrt{25}=5[/tex]

Find out more on complex number at: https://brainly.com/question/2218826

PLEASE SHOW ALL WORK AND DO CORRECTLY

For #8 , fill in the missing information for the following trapezoids. SHOW YOUR WORK to solve for the missing value.

8.
height = 19.8 cm
b1 = ________
b2 = 14.4 cm
area = 401.94 cm2

Answers

Answer:

26.2 cm

Step-by-step explanation:

Area = (b1 + b2)/2 * h

401.92 = (x + 14.4)/2 * 19.8

Divide each side by 19.8

20.2989 = (x + 14.4)/2

Multiply each side by 2

40.6 = x + 14.4

Subtract 14.4 from each side

x = 26.2

Answer:

116.82

Step-by-step explanation:

Since your trying to find a missing base

19.8 x 14.4= 285.12

   401.94-285.12=116.82

Hopes This Helps

Please help me with this problem!

Answers

Answer:

57 degrees

Step-by-step explanation:

It is an isosceles triangle because QP has the same length as OP. So the base angles will be the same.

Determine the intercepts of the line.

Answers

Answer:

y-intercept: (0,5)

x-intercept: (5/2,0)

Step-by-step explanation:

[tex]-4x+7=2y-3[/tex]

[tex]-4(0)+7=2y-3[/tex]

[tex]0+7=2y-3[/tex]

[tex]7=2y-3[/tex]

[tex]10=2y[/tex]

[tex]5=y[/tex] <-- y-intercept: (0,5)

[tex]-4x+7=2y-3[/tex]

[tex]-4x+7=2(0)-3[/tex]

[tex]-4x+7=-3[/tex]

[tex]-4x=-10[/tex]

[tex]x=\frac{5}{2}[/tex] <-- x-intercept: (5/2,0)

HELP ASAPPPPPPP!!!!!

Answers

you will do 7x2x2x3 then after u find the answer you will write it in a fraction form like for example if you get 64 which is the answer and u will write 6 over 4 and that is the answer.


Order the angles in the triangle above from largest to smallest.
Largest
1.B
2.D
3.С
Smallest

Answers

The order is C, B, then D.
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