Consider circle Y with radius 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter. meters

Answers

Answer 1

Use formula for the length of the arc:

[tex] \text{Arc Length} = (\theta\cdot \dfrac{\pi}{180^{\circ}}) \cdot r [/tex], where [tex] \theta [/tex] is central angle.

Substitute [tex] \theta [/tex] and r=3 into formula:

[tex] \text{Arc Length} = (\theta\cdot \dfrac{\pi}{180^{\circ}}) \cdot r=(70^{\circ}\cdot \dfrac{\pi}{180^{\circ}})\cdot 3=\dfrac{7}{6}\pi [/tex].

Answer: [tex] \text{Arc Length} =\dfrac{7}{6}\pi [/tex].

Answer 2

Answer:

its 3.7

Step-by-step explanation:


Related Questions

Kendrick’s math quiz grades are 90, 100, 48, 88, 100, and 96. Find the MEAN of Kendrick’s scores. A) 48 B) 52 C) 87 D) 93

Answers

mean is also another way of saying average.
so first you need to add all the numbers together. then divide by 6 because you added 6 different numbers together. then you should get 87

90+100+48+88+100+96=522
522÷6=87
To find the mean(aka average) you add all the numbers together and divide by how many numbers there are. (90+100+48+88+100+96)/6=87.
Therefore, the answer is C

During a sale, a store manager reduces a sweater's price by 30%. After the sale, the manager increases the price by 30%. Are the prices before and after the sale equal?

Answers

give the sweater any initial price to show whether they are equal
sweater initially = $10
decrease by 30% = $7
increase $7 by 30% = $9.10
No, they are not equal.
example:
sweater cost $20.00 - 30% = $14.00
$14.00 + 30% =  $4.2 total of 18.20
no cause the sale price was lower when adding on 30%

8x-5y=11 4x-3y=5 solve using elimination method

Answers

Answer:

8x - 5y = 11---->8x - 5y = 11

4x - 3y = 5---->-8x + 6y = -10

-------------------

y = 1, x = 2

{(2, 1)}

Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song. King Music sells a player for $23.00 and charges $2.00 per song. For how many songs will the cost be the same?

Answers

Answer:

Four songs

Step-by-step explanation:

1. Change into y-intercept form.

y = 3.25/1x + 18

y = 2.00/1x + 23

2. Graph them!!

the outcome is ( 4, 31 )

So 4 songs for $31.00

Which of the following is a rational number?

Square root of 22
Square root of 23
Square root of 24
Square root of 25

Answers

Answer:

  √25

Step-by-step explanation:

  √25 = √(5²) = 5 . . . . a rational number

The other roots are not the roots of perfect squares, so are irrational.

What plus what equals 24

Answers

Final answer:

Different pairs of numbers can add up to 24.

Explanation:

The sum of two numbers that equals 24 depends on the specific values of the two numbers. However, here are a few examples:

12 + 12 = 24

20 + 4 = 24

15 + 9 = 24

These examples show that different pairs of numbers can add up to 24. The sum can be found by adding the two numbers together.

Laticia randomly selected 25% of the seventh grade students in her school and asked them their favorite season. Of the students surveyed, 51 chose summer as their favorite season. Based on the data, what is the most reasonable prediction of the number of seventh grade students in her school who would choose summer as their favorite season?
A) 15
B) 75
C) 150
D) 200

Answers

The most reasonable prediction of the number of seventh grade students in her school who would choose summer as their favorite season is 75.

To predict the number of seventh-grade students in Laticia's school who would choose summer as their favorite season, we can use the fact that she surveyed 25% of the seventh-grade students and found that 51 of them chose summer.

First, we need to find out how many seventh-grade students there are in total. Since Laticia surveyed 25%, we can set up a proportion:

[tex]\[\frac{51}{25\%} = \frac{x}{100\%}\][/tex]

Solving for x, the total number of seventh-grade students, we get:

[tex]\[x = \frac{51 \times 100\%}{25\%} = 204\][/tex]

Now, since 51 students chose summer as their favorite season out of 204 seventh-grade students, to find out how many students might choose summer if all seventh-grade students were surveyed, we can set up another proportion:

[tex]\[\frac{51}{204} = \frac{y}{100\%}\][/tex]

Solving for y, the number of students who might choose summer if all seventh-grade students were surveyed:

[tex]\[y = \frac{51 \times 100\%}{204} = 25\%\][/tex]

This comes out to (y = 51), which means if all seventh-grade students were surveyed, we could reasonably predict that 51 of them would choose summer as their favorite season. Therefore, option B) 75 is the most reasonable prediction.

Sarah spends 1/6 hour vacuuming her mom's car. She spends 4 times as long washing the car. Then she spends twice as long waxing the car as she does washing the car. What is the total amount of time Sarah spends vacuuming, washing, and waxing her mom's car?

Answers

your answer will be 2 hours and 10 minutes

mark brainliest




Answer:

2 10

Step-by-step explanation:

210

You've randomly surveyed some students in your science class to find the number of hours per week they study. What is the mean, based on your sample? A) 4.75 Hours B) 5.05 Hours C) 5.25 Hours D) 5.45 Hours
STUDENT HOURS
KATY 5.5
MIKE 4.25
SAM 7.75
HOLLY 3.5
JAKE 6.25

Answers

5.5 + 4.25 + 7.75 + 3.5 + 6.25 = 27.25
27.25 divided by 5 = 5.45
Answer is D = 5.45 hours

You've randomly surveyed some students in your science class to find the number of hours per week they study. What is the mean, based on your sample?

STUDENT HOURS

KATY 5.5

MIKE 4.25

SAM 7.75

HOLLY 3.5

JAKE 6.25

Mean=[tex] \frac{Sum Of Hours}{Number of Students} [/tex]

Sum Of Hours=5.5+4.25+7.75+3.5+6.25=27.25

Number of Students=5

mean=[tex] \frac{27.25}{5} [/tex]

On dividing, 27.25 by 5, we get, 5.45

So, Mean=5.45

Answer: Option (d) : Mean=5..45hours

Does anyone know the Answer

Answers

you shaded right. Decimal is 0.52
Its 1.52 because you'd have to divide the numerator by the denominator and then add (1) as a whole number. 

after 1 year on the job, Grady got a raise from $10.50 per hour to $11.34 per hour. what was the percent increase in his hourly wage

Answers

Increase = 11.34 - 10.50 = $0.84

Percentage increase = 0.84/10.5 x 100 = 8%

Grady's payements or wages for hourly is increased by 8 percent.

What is percent?

A Percentage or percent, a relative value indicating hundredth parts of any quantity.

How to caluclate increase in percent?

To calcualte the increase in percentage first we subtract the original value from the new value, then divide the result by the original value. Multiply the result by 100.

According to the given question.

The intial payment for one hour was $10.50

And, after one hour the payment is $11.34

⇒ The increment in the payment  = $11.34 - $10.50 = $0.84

Therefore,

the percent increase in Grady's hourly wage  

[tex]= \frac{increment \ in \ the \ payement}{origibal \ paynent\ } \times 100[/tex]

[tex]= \frac{0.84}{10.50} \times 100[/tex]

[tex]= 0.08 \times 100[/tex]

[tex]= 8\%[/tex]

Hence, Grady's payements or wages for hourly is increased by 8 percent.

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Give two sets of potential sides for a triangle. One set of side lengths should be able to be used for a right triangle and the other set of side lengths should not be able to form a right triangle.

Suppose you’re making a triangle where you know the measures of two angles and the length of the side between those two angles. Write to angle measures and the length of the side between them for your triangle. You can use any measurements you want as long as they could really be used to form a triangle.

Answers

Problem 1:

Set one: 5, 12, 13

Set two: 4, 9, 12

Notice that the first triangle satisfies Pythagorean theorem:

     5^2 + 12^2 = 13^2

     25 + 144 = 169

     169 = 169, so it is a right triangle.

The second triangle does not follow Pythagorean theorem so it is not a right triangle.

Problem 2:

angle 1: 30°
angle 2: 60°
length of the side between the two angles: 25


Notice that the other sides are determined.

When you draw a segment with length 25, and then add two lines, one from each end of the given segment, one of the lines with angle 30° and the other one with angle 60°, the two lines will intersect each other forming a triangle.

The tirangle given is unique and you can check wheter it is rigth or not.

The table shows the area of a square with the given side length.


A. Write an equation that could represent the function table.

Answers

Y=x squared

Every x squared equals y

0 is greater than or equal to 7n

Answers

Final answer:

To solve the inequality 0 is greater than or equal to 7n, divide both sides by 7 to get n ≤ 0. This implies n can be any number less than or equal to zero.

Explanation:

The question asks us to solve the inequality 0 is greater than or equal to 7n. This involves understanding inequalities and basic algebraic manipulation. To solve for n, we divide both sides of the inequality by 7, keeping in mind the rules regarding dividing by a positive or negative number. Since 7 is positive, the direction of the inequality remains the same. Thus, we get n ≤ 0.

This means that n can be any number less than or equal to zero for the inequality to be true. It's an important fundamental of algebra that assists in understanding how to work with inequalities and solve them correctly.

Combine like terms to simplify.

2. 3v + w +8 - 2n

Answers

3v + w +8 - 2n 

Simplifying 3v + w + 8 + -2n

Reorder the terms: 8 + -2n + 3v + w
 
Hopes it helped!

HELP ME :) please .....

Answers

2a^2b^5 is the answer ....
They all have a common factor of 2 a^2 and b^5, so the answer is:
2 a^2 b^5

A prism is completely filled with 576 cubes that have edge length of ¼ in.

What is the volume of the prism?

Enter your answer in the box.

Answers

The answer is ( the volume of the prism is 9 in^3) hope it helps and have a great day!

Answer:9

Step-by-step explanation:


The sum of 1 and x less less than 5.

Answers

Comment has been deleted

By what factor is the volume of a right square pyramid multiplied if its height is multiplied by 8 but the dimensions of its base are unchanged?
A. 1/16
B. 1/8
C. 4
D. 8

Answers

we have that 
the volume of a right square pyramid ---------- > (1/3)b²h

Let
V1------------ > initial volume
V1=(1/3)b²h

if its height is multiplied by 8

V2=(1/3)b²(8h)-------------- > V2=V1*8

 therefore

the answer is the option D

the factor is is 8
 The Answer is: D 8    

Find 3mt(2m^2-3mt+r^2)

Answers

the answer is 6m^3-9m^2t^2+3mtr^2

What is the equation of the translated function?
A. f(x) = (x – 1)2 – 5
B. f(x) = (x + 1)2 + 5
C. f(x) = (x – 5)2 – 1
D. f(x) = (x + 5)2 + 1

Answers

Yes the answer is B

The translated function is f(x) = (x - 1)² + 5.

What is translation?

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

The vertex of the original function = (0, 0)

The vertex of the translated function = (-1, 5)

Now,

f(x) → f(x + a) represents a horizontal translation of f(x)

If a > 0 then a shift to the right of a units

If a < 0 then a shift to the left of a units

Vertex = (-1, 5)

This means the translated graph has been shifted to 1 unit left.

So,

f(x) = (x - 1)²

Now,

f(x) → f(x) + c represents a vertical translation of f(x)

If c > 0 then a shift up of c units

If c < 0 then a shift down of c units

Vertex = (-1, 5)

This means,

The translated graph has been shifted 5 units up.

So,

f(x) = (x - 1)² + 5

Thus,

The translated function is

f(x) = (x - 1)² + 5

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The equation below shows the total volume (V), in cubic units, of 5 identical boxes with each side equal to s units: V = 5s3 If s = 1.4 units, what is the value of V? 13.72 cubic units
19.21 cubic units
21 cubic units
25 cubic units

Answers

Answer:

Step-by-step explanation:

The answer is 13.72 because 1.4^3=2.744

and 2.744*5=13.72

The total volume when each side is 1.4 units is 13.72 cubic units, option A is correct.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The equation V = 5s³ represents the total volume of  5 identical boxes

s represents the each side  length

We have to find the total volume

The value of s is given as 1.4

Plug in s value in V formula

V=5(1.4)³

V=5×1.4×1.4×1.4

V=13.72 cubic units

Hence, the total volume when each side is 1.4 units is 13.72 cubic units, option A is correct.

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Toni and makayla are working on a craft project.Makayla has 3 yards of ribbon and Toni has 4yards of ribben.They cut all the ribbon into pieces that are 1/4 yard long.How many pieces of ribbon do they have?

Answers

They have 28 pieces
If Makayla cuts her 3 yards of ribbon into pieces that are 1/4 yard long, she has 12 pieces. If Toni cuts his 4 yards of ribbon into pieces that are 1/4 yard long, he has 16 pieces.If you add them all together, you have 28 pieces of ribbon that is 1/4 of a yard long.

Brett took a test in which 2 points were earned for each correct response and -1/2 point was earned for each incorrect response. He answered 35 questions correctly and 15 questions incorrectly, so his total number of points was 35(2) + [-1/2(15)]. Which is another way to write Brett’s total number of points on the test?

Answers

Answer:

35(2) - 1/2(15)

Step-by-step explanation:

35(2) + [-1/2(15)] -----> 35(2) - 1/2(15)

take away the unnecessary extra brackets and replace the plus with a minus sign

hope this helps :)

Another way to write Brett’s total number of points on the test is 35(2) - 1/2(15).

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Brett took a test in which 2 points were earned for each correct response and -1/2 point was earned for each incorrect response.

From the data given in the question:

= 35(2) - 1/2(15)

= 35(2) + [-1/2(15)]

Another way to write Brett’s total number of points on the test:

= 35(2) - 1/2(15)

Thus, another way to write Brett’s total number of points on the test is 35(2) - 1/2(15).

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Please help! Im bad at math!!!!

Answers

It's perfectly all right to let your calculator do the heavy lifting.

_____
Of course, you do need to know how to set your calculator to the proper mode for scientific notation display.

The 1st selection is appropriate.

Can someone help me please answer this question

Answers

I’m pretty sure the answer would be Y=42°
y=180-90-48=42; x=(180-48)0.5=66; z=180-y-(48+x)=24

(x -1) = 26 = -4x
A. -7 5/7
B. 8
C. -7
D. -5

Answers

Based on the answer choices, we suspect you intend
.. (x -1) +26 = -4x

This simplifies to
.. x +25 = -4x
.. 25 = -5x . . . . . subtract x
.. -5 = x . . . . . . . divide by the coefficient of x

Selection D appears to be appropriate for the question we think you asked.

A Park has a pond shaped like a quadrilateral with all sides 18 feet long and at least one right angle. What geometric shape best describes the shape of the pond?

Answers

Final answer:

The pond is best described as a rectangle.

Explanation:

The geometric shape that best describes the pond is a rectangle. A rectangle is a quadrilateral with four right angles. Since the pond has all sides of equal length and at least one right angle, it meets the criteria to be a rectangle.

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The geometric shape that best describes the shape of the pond is a square or a rectangle.

Given that the pond is shaped like a quadrilateral with all sides 18 feet long, we can immediately rule out shapes that do not have four equal sides, such as parallelograms, trapezoids, and kites. The fact that the pond has at least one right angle further narrows down the possibilities to shapes that have at least one 90-degree angle.

Since all sides are equal in length, and there is at least one right angle, the pond could either be a square (which has four right angles) or a rectangle (which has four right angles but does not necessarily have all sides equal). However, since it is specified that all sides are 18 feet long, the only quadrilateral that fits these criteria is a square.

A cone-shaped container has a height of 9 inches and diameter of 2 inches. It is filled with a liquid that is worth $2 per cubic inch.

What is the total value of the liquid in the container?

Use 3.14 for π .

Enter your answer in the box.

Answers

Hello,

A cone:
a radius (r)...1 in.
a diameter... 2 in.
a height (h) ... 9 in.
....3.14

cone volume formula:
v=1/3*3.14*1^2*9=1/3*3.14*1*9
c=9.42 cubic inches

$2...1 cubic inch
$x = ?... 9.42
x=$18.84

the correct result $18.84.

have a nice day!!!

Answer:$18.84. I hope this helps. Have a great day!♡

Step-by-step explanation:

Marybeth works from home as a graphic designer. Recently she raised her hourly rate by 3% to cover increased costs. Her new hourly rate is $22.87. Find Marybeth’s previous hourly rate

Answers

22.87 - 0.6861 = 22.1839
Hope this helps
Rate= 3%
New #= $22.87
x= old number

EQUATION:
Original # + (Original # * %)= New #
plug in #s we know
x + (x * 3%)= $22.87

x + (x * 0.03)= $22.87
multiply inside parentheses first

x + 0.03x= $22.87
1.03x= $22.87

divide both sides by 1.03
x= $22.20

CHECK:
$22.20 + (22.20 * 0.03)= $22.87
22.20 + 0.67= 22.87
22.87= 22.87

ANSWER:
Her previous hourly rate was $22.20

Hope this helps! :)
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She would have no one follow her. There stood, facing the open window, a comfortable, roomy armchair. Into this she sank, pressed down by a physical exhaustion that haunted her body and seemed to reach into her soul. She could see in the open square before her house the tops of trees that were all aquiver with the new spring life. The delicious breath of rain was in the air. In the street below a peddler was crying his wares. The notes of a distant song which someone was singing reached her faintly, and countless sparrows were twittering in the eaves. There were patches of blue sky showing here and there through the clouds that had met and piled one above the other in the west facing her window. She sat with her head thrown back upon the cushion of the chair, quite motionless, except when a sob came up into her throat and shook her, as a child who has cried itself to sleep continues to sob in its dreams. 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