How long is the arc intersected by a central angle of startfraction pi over 2 endfraction radians in a circle with a radius of 4.5 cm? round your answer to the nearest tenth. use 3.14 for pi. 0.3 cm 0.7 cm 2.9 cm 7.1 cm

Answers

Answer 1

The arc length of the sector is 7.065 approximately 7.1 cm. Then the correct option is D.

What is a circle?

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The central angle of π/2 radians in a circle with a radius of 4.5 cm.

Then the arc length will be

[tex]\rm Arc \ length = \dfrac{\pi /2}{2 \pi} * 2*\pi * 4.5\\\\\\Arc \ length = \dfrac{1}{2} * 3.14*4.5\\\\\\Arc \ length = 7.065[/tex]

Then the arc length is 7.065 approximately 7.1 cm. Then the correct option is D.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer 2

Answer:

D is the answer

Step-by-step explanation:

No Reason just try it out


Related Questions

The 150 Grade 7 students participated in school's Math Olympics. 64 students registered in Math Trail , 78 students registered in Amazing Race and 28 students registered in both Math Trail and Amazing Race. How many students registered in Math Trail only and in Amazing Race only? Are there students who did not registered in both events, how many?​

Answers

Answer:

Number of students registered in Math trail only and in Amazing Race only is 86.

Number of students who did not registered in both events = 36

Step-by-step explanation:

There are 150 students totally.

64 students registered in Math trail.

78 registered in Amazing race.

28 registered in both Math trail and Amazing Race.

We can make Venn diagram for this and answer the question.

I've attached the Venn diagram.

Using the diagram,

Number of students registered in Math trial only and in Amazing race only is 36+50= 86.

Number of students who did not registered in both events = (150-(36+28+50))=36

What are the 4 major types of special Angle Pairs formed by Parallel Lines and Transversals? 20 points Vertical Angles, Angle Bisectors, Linear Pairs, Perpendicular Bisectors Alternate Interior, Corresponding, Consecutive Interior, Alternate Exterior Straight, Acute, Obtuse, Right Adjacent Angles, Supplementary Angles, Complementary Angles, Opposite Angles

Answers

Answer:

Alternate Interior, Corresponding, Consecutive Interior, Alternate Exterior

Step-by-step explanation:

When a transversal cuts across two parallel lines, there are 4 major types of special angles that are formed as shown in the attachment below. They are:

1. Alternate interior angle pairs are angles that are positioned inside the two parallel lines but lie on opposite sides of the transversal that cuts across the two parallel lines.

In the figure attached below, the alternate exterior angle pairs are labelled:

<3 and <6;

<4 and 5

2. Corresponding angles: these are angle pairs that are lie in the same position of the transversal, one interior, and the other exterior to a parallel lines respectively.

In the figure attached below: the following are corresponding angles pairs:

<1 and <5;

<2 and 6;

<3 and <7;

<4 and <8

3. Consecutive Interior angle pairs: these are angles that lie in the same side of the transversal and also found opposite each other within the parallel lines.

They are labelled:

<3 and <5;

<4 and <6

4. Alternate exterior angle pairs are angles that are positioned outside of the two parallel lines but lie on opposite sides of the transversal that cuts across the two parallel lines.

They are labelled:

<1 and <8;

<2 and <7;

find the gradient of the line segment between the points (0,3) and (1,8)

Answers

The gradient of the line segment between the points (0,3) and (1,8) is : 5

What is gradient?

Gradient is the ratio of the increase or decrease in the y-coordinates to the increase ore decrease in the x-coordinates of points that form a line segment.

Analysis:

x1 = 0, x2 = 1, y1 = 3, y2 = 8,

Gradient(M) = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

                        = [tex]\frac{8 - 3}{1 - 0}[/tex] = 5/1 = 5

In conclusion, the gradient of the given points (0,3) and (1,8) is : 5

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Answer:

Step-by-step explanation:

difference in x = 1

difference in y= 5

5 divided by 1 = 5

gradient= 5

Tell whether the table represents a proportional relationship. If it does, identify the constant of proportionality.

Answers

Answer:

well we cant tell you the specifics to the graph you need help with because we cant see it but we can help you understand where to look

Step-by-step explanation:

So its proportional if the line lies on a straight path going through the (0,0)

and to find the constant of proportionality you divided by the first number on the Y-axis my the first number on the X-axis

Lines a and b are perpendicular. The slope of the line is given. What is the slope of line b?
3/4

Answers

Answer:

-4/3

Step-by-step explanation:

If the slope of line a is 3/4, then the slope of line b will be -4/3.

which expression has a value of 4​

Answers

Answer:

7x=28

Step-by-step explanation:

1+3
2x2
4x1
8-4
10-6
16➗4

Triangle PQR has vertices P(0, 0), Q(3, 4), and R(3, 0). If triangle PQR is rotated 180° about the origin, what is the length of side P'Q'?

Answers

Answer:

The length of P'Q' is 4 units

The length of P'R' is 3 units

Step-by-step explanation:

If you rotate the figure 180° then the vertex would be R, and from P to Q is 3 units left and 4 units down

Find the percentages: 33 1/3 % of 75

Answers

The answer is 25 because you divide 33.33 by 100 the times it by 75

The value of percent for 33 1/3% of 75 is 25.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The expression is,

⇒ 33 1/3% of 75

Solve for value as;

⇒ 100/3% × 75

⇒ 100/(3×100)  × 75

⇒ 75/3

⇒ 25

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Solve for a:
35= -7a+14

Answers

-7a + 14 = 35
-7a + 14 - 14 = 35 - 14
-7a = 21
—- —-
-7 -7
a = -3

hope this helps!! :)

After comparing the Legend and the Supreme,Victor saw an advertisement for a third vehicle,the Lunar.The manager said that the Lunar can travel about 289 miles on a tank of gas.If the gas tank can hold 17 gallons of gas,is the Lunar Victor's best option

Answers

Given :

Lunar can travel about 289 miles on a tank of gas.If the gas tank can hold 17 gallons of gas.

To Find :

Is the Lunar Victor's best option.

Solution :

Number of miles Lunar travel per gallon is :

[tex]N = \dfrac{289\ miles}{17 \ gallon}\\\\N=17 \ miles/gallon[/tex]

We know, miles travelled per gallon is given by 18 miles/gallon.

Therefore, The Legend is still the best option.

How many solutions does 1=1 have

Answers

Answer:

infinite

Step-by-step explanation:

because this 1=1 is true, there are infinite solutions

Answer:

Since both sides are equal,there are infinitely many solutions.

Step-by-step explanation:

Please answer as soon as possible. Please make sure to explain your answer.
Thank you.

What is the slope of the line shown?

Answers

Answer:

The slope is y=-x

Step-by-step explanation:

Rise over run. Pick 2 points, then count the distance that is rose(can be neg) then the distance that it went horizontally. Put into a fraction form.

Solve -1/6 (3x – 9) – 9= 3.

The solution is x=

Please explain

Answers

Answer:

x=23

Step-by-step explanation:

1/6 as a decimal is 0.16666667 but i rounded it to 0.2

so the equation is the 0.2(3x-9)-9=3

then i did 0.2 times 3x =0.6x

then 0.2 times -9= -1.8

so the equation now looks like this:

0.6x-1.8x-9=3

so i add 1.8 and 9 to 3 which gives you 13.8

then the equation looks like this:

0.6x=13.8

then you do 13.8 divided by 0.6 which equals 23.

hope this helps

tell me if i got it right or wrong

A recipe for brownies calls for 3/4 cups of sugar Skyler has a bag that contains 9 1/2 cups of sugar exactly how many batches of Brownies can Schuyler make with one bag of sugar express your answer as a mixed number.

Answers

Answer:

okkk

Step-by-step explanation:

please pass this on... ( #helpsavelives )

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful no matter ur shape, size, color, gender.. anything

don't give up i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Answer: She can make 12 batches of brownies. There is a slight remainder, but think about it like this, if you only had a spoon full of sugar left, do you think you could make an entire batch of brownies? No. So if you see problems like this, the whole number should be the answer (unless asked otherwise).

Step-by-step explanation:  Since 3/4 is like 75 out of 100, the decimal form is .75 and we all know (or should know) that 1/2 can be put as .5. Whenever there's a whole number before the fraction, and you want to convert the fraction into a decimal, the whole number will go before the decimal. So after converting the fractions to decimals, the problem is 9.5 divided by .75 which is 12.6. Like I said before, that remainder .6 can't make an entire batch of brownies, so we just go with the whole number 12.

2^n-5×5^n-4=5

Please help me
I will mark as brainist
please do the sum in a paper and post...​

Answers

[tex]\huge{\fbox{\sf{n=5 }}}[/tex]

Step 1:

[tex]⇒ {2}^{n - 5} \times {5}^{n - 4} = 5[/tex]

Step 2:

[tex] ⇒{2}^{n - 5} \times {5}^{n - 4} = {5}^{1} \times {2}^{0} [/tex]

On comparing values we get:

Taking:

[tex] {2}^{n - 5} = {2}^{0} [/tex]

n-5=0

n=5

or

Taking:

[tex] {5}^{n - 4} = {5}^{1} [/tex]

n-4=1

n=5

Last years phone model had a
battery that lasted 15 hours. This year
the battery only last for 7.5 hours.
What was the percent the battery life
decreased?

Answers

It decreased by 1/2 which is a half

Answer:

probably It decreased by 1/2 which is a half

Step-by-step explanation:

How many 3/6 are there in 1 whole


Don’t give me glibberish answers or I will report u

Answers

Answer:2

Step-by-step explanation:because

x=1x6/3

X=2

Its not gibberish so gimme brainliest

Answer:

It would be 2.

Step-by-step explanation:

3/6 is half of a whole. Which means, there is a half missing. So multiply 3/6 by 2, to make it a whole.

To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets to bytes of information is given by b = 1,500p where p represents the number of packets and b represents the number of bytes of information. Each byte contains 8 bits of information. Write an equation to represent the relationship between the number of packets and the number of bits. (X = form)

Answers

Answer: [tex]x= 187.5p[/tex]

Step-by-step explanation:

Given : An equation relating packets to bytes of information : [tex]b = 1,500p[/tex] where p represents the number of packets and b represents the number of bytes of information.

1 byte = 8 bits

Let x= Number of bits such that 1 b = 8x

Put b = 8x in given equation , we get

[tex]8x=1500p[/tex]

Divide both sides by 8 , we get

[tex]x= 187.5p[/tex]

Hence, the equation represent the relationship between the number of packets and the number of bits : [tex]x= 187.5p[/tex]

Answer:

x=12000p

Step-by-step explanation:

It is Right

I Fink

Which number is equivalent to (1/3)-4

Answers

Answer:

-3.6 repeated.

Step-by-step explanation:

( 1 / 3 ) - 4 = -3.6666666666666 (6 repeated)

The equivalent number is -3.6667

What is expression?

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.  A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Expression Definition in Math

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.Variable: A variable is a symbol that doesn't have a fixed value.Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given:

(1/3)-4

Take LCM

1/3 - 4*3/1*3

=1/3 - 12-3

=-11/3

=-3.6666

Learn more about expression here:

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Please help me!! If f (x) = sinx/e^x, then f’ (x) =

Answers

Answer:

option B is the answer

Step-by-step explanation:

If you need explanation plz ask in the comments

If $7,300 is invested in an account that offers 7% interest compounded semi-annually, how much money is in the account after 3 years?

Answers

Answer:

The answer to your question is $8973.56

Step-by-step explanation:

Which of these values could be the slope of the line? Select 2 options.
-2
-8/5
0
7/4
3

Answers

Answer:

7/4 and 3

Step-by-step explanation:

correct on edge 2020

Answer: 7/4 & 3

Step-by-step explanation:

(Question 1) Which mathematical property is shown by the statement?

If 43 = y, then y = 43.


A) transitive property


B) symmetric property


C) reflexive property


D) associative property of addition


(Question 2) Which mathematical property is shown by the statement?

(4y⋅9)⋅7=4y⋅(9⋅7)

associative property of addition


associative property of multiplication


commutative property of addition


commutative property of multiplication


(Question 3) Which statement is true for the set of natural numbers?


The set is closed under addition and closed under subtraction.


The set is not closed under addition and closed under subtraction.


The set is closed under addition and not closed under subtraction.


The set is not closed under addition and not closed under subtraction.

Answers

Answer:

1. symmetric property

2. associative property of multiplication

3. The set is closed under addition and not closed under subtraction

Step-by-step explanation:

Help I will name u a brainlist

Answers

It’s the first one because of you put both angles side to side it makes a 180° degree angle

The first one is the the correct answer because the angles have a sum of 180 degrees.

Hope that helps you!!

Alicia is solving the equation 2.3 x minus 1.6 = 8.8 minus 2.9 x. Which equations represent possible ways to begin solving for x? Check all that apply.

Answers

Answer:

what are the options

Step-by-step explanation:

Answer: 1, 2, 5

Step-by-step explanation: I am doing the quiz, i know the answer choices

POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER

Answers

Answer:

p is True

q is False

p and q: False

p V q: True

~p and q: False

p and ~q: True

~p V ~q: True

These are statements about factors and prime and composite numbers. Which statements are true? Check all that apply. The numbers 4, 9, 25, and 49 are composite numbers. The number 1 is a prime number. The first prime number is 2. A composite number can be written as the product of prime numbers.

Answers

Answer:

The numbers 4, 9, 25, and 49 are composite numbers.

The number 1 is a prime number.

Step-by-step explanation:

A prime number can be defined as a number that is divisible by 1 and itself only. Examples are: 1, 3, 5, 7, 11 e.t.c

A composite number can be defined as a positive number that can be formed by multiplying two smaller positive numbers together. These two positive integers may or may not be prime number.

It is a positive integer that has at least one divisor other than 1 and itself.

Examples are: 4, 6, 8, 9, 12, 25, 49, e.t.c

Therefore, the true statements in the questions above =

The numbers 4, 9, 25, and 49 are composite numbers.

The number 1 is a prime number.

Answer: A,C,D!!! These are correct!!!

find the missing number 87(M)
= 28.71

Answers

The missing number for M is 0.33

Ok help me?? Uhhhhhhhhhhhh

Answers

Answer:with?

Step-by-step explanation:

Solve for s:
14=-2s-8

Answers

Answer: 11

Step-by-step explanation:

2 times 11 is 22. 22-8=14

Answer:

14= -2s - 8

22= -2s

-11=s

Step-by-step explanation:

Add 8 to both sides, on one sided the number will be undo but on the other it won't

Then divide both sides by -, wich leaves the unknown variable alone

Finally you have your answer!

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