In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°. Circle O is shown. Line segments L O , M O, and N O are radii. The length of L O is 6 centimeters. Angle M O N is 75 degrees. The measure of arc L M is 6.3 centimeters. Rounded to the nearest tenth of a centimeter, what is the length of arc LMN? 7.9 cm 10.2 cm 12.6 cm 14.2 cm

Answers

Answer 1

Answer:

[tex]LMN = 14.2[/tex]cm

Step-by-step explanation:

Given

[tex]r = OL = NO = MO = LO =6cm[/tex] -- radius

[tex]LM = 6.3cm[/tex] -- arc

[tex]\angle MON = 75^o[/tex]

(see attachment)

Required

The length of arc LMN

First, we calculate the length of arc MN using:

[tex]MN = \frac{\alpha}{360} * 2\pi r[/tex] --- length of arc

In this case:

[tex]\alpha = \angle MON = 75^o[/tex]

So, we have:

[tex]MN = \frac{75}{360} * 2 * 3.14* 6[/tex]

[tex]MN = \frac{75* 2 * 3.14* 6}{360}[/tex]

[tex]MN = \frac{2826}{360}[/tex]

[tex]MN = 7.85[/tex]

So, the length of arc LMN is:

[tex]LMN = LM + MN[/tex]

[tex]LMN = 6.3 + 7.85[/tex]

[tex]LMN = 14.15[/tex]

In Circle O, The Length Of Radius OL Is 6 Cm And The Length Of Arc LM Is 6.3 Cm. The Measure Of Angle
Answer 2

Answer:

D

Step-by-step explanation:

14.2


Related Questions

Translate to an equation, then solve.
Nineteen less than six times a number is equal to 11 more than four times the number?
What is the number?​

Answers

Answer:

15

Step-by-step explanation:

Let the number is x, then we have:

6x - 19 = 4x + 116x - 4x = 11 + 192x = 30x = 15

Sandra has developed a program designed to increase reading comprehension scores in 6th graders. She randomly selects three students and has them participate in her program. When she compares the mean score from the students who completed her program to three students who did not participate in the program, she finds no significant difference between their mean scores. What is most likely the reason for the non-significant finding

Answers

Answer:a small sample size

Step-by-step explanation:

From the information given in the question, we are informed that Sandra developed a program that was designed to increase reading comprehension scores in 6th graders and she then randomly selects three students and has them participate in her program.

After comparing the mean score from the students who completed her program to three students who did not participate in the program, she finds no significant difference between their mean scores, it should be noted that the reason for this will be because the sample size is small.

If a large sample size was used, this could have been different as thsi could result in a significant difference between their mean scores.

Find the slope of
(-3,6)(5,-4)

Answers

Answer:

Slope: -5/4

Step-by-step explanation:

Slope formula: [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

Plug in:

[tex]\frac{-4-6}{5-(-3)}[/tex]

Solve:

[tex]\frac{-4-6}{5-(-3)}[/tex]

-4 - 6 = -10

5-(-3) = 8

-10              5

-----   =   -  -----

8               4

The answer is -5/4

Hope this helped.

What do you know about the slope when X2 - X1 = 0 ?
A. The slope is undefined.
B. The slope is zero.
C. The slope is positive.
D. The slope is negative.

Answers

Answer:

B

Step-by-step explanation:

The slope is zero is the answer

Factorize:
a)(a+b) (a-b)-a+b
b)a²-(b-3)a-3b
c) ax²-bx²-ax+bx+a-b



help Me these questions I will mark u as brainliest​

Answers

Answer:

Step-by-step explanation:

Which expressions are equivalent to
3(6+b) + 2b+1?
Select 2 answers.
Step 1 - Use the distributive property and pick your first
answer
Step 2 - Combine like terms and pick your second
answer

Answers

Step-by-step explanation:

3(6+b)+2b+1

18+3b+2b+1

5b+19

Once we distribute 3(6+b), 18 + 3b + 2b + 1. Our first answer is B. Next, we can combine like terms. This gives us 5b + 19. The other answer is C.

Answer if you want tho...

Answers

3 loaves and 3 bananas left over

Answer:

3 loaves 2 bananas left.

Step-by-step explanation:

The answer is asking how many loaves of three bananas Seth can make. 11 can be divided by 3 a total of 3 times, leaving a remainder of 2 bananas that would not be enough to make another loaf.

answer please it's urgent​

Answers

Answer:

HOPE IT HELP YOU . Plz tell me if it is write or wrong .

7+3√5/3+√5 - 7-3√5/3-√5​

Answers

Answer:

0

Step-by-step explanation:

We can write the equation in a simpler form so it doesn't look like a mess of numbers:

[tex]7+\frac{3\sqrt{5}}{3}+\sqrt{5} -7 -\frac{3\sqrt{5}}{3}-\sqrt{5}[/tex]

Because we are just adding three terms together and then subtracting those exact terms, we have the answer as 0.

Find the surface area of each figure. Round your answers to the nearest tenth, if necessary ​

Answers

Answer:

268 in ^2

Step-by-step explanation:

SA=2lw+2lh+2hw

width = 4    lenth = 6     height = 11

2(6)(4) + 2(6)(11) + 2 (11)(4)

= 2 (24) + 2(66) + 2 (44)

= 48 + 132 + 88

= 268 in ^2

Answered by G a u t h m a t h

What is the equation of the line that is perpendicular to the line y = 2x + 5 and
passes through the point (-4, 2)?

Answers

Answer:

y = -1/2x

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 2x + 5. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.

Plug this value (-1/2) into your standard point-slope equation of y = mx + b.

y = -1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-4, 2). Plug in the x and y values into the x and y of the standard equation.

2 = -1/2(-4) + b

To find b, multiply the slope and the input of x (-4)

2 = 2 + b

Now, subtract 2 from both sides to isolate b.

0 = b

Plug this into your standard equation.

y = -1/2x + 0 or y = -1/2x

This equation is perpendicular to your given equation (y = 2x + 5) and contains point (-4, 2)

Hope this helps!

Solve for x: 9(3x+3)=10(3x+9)

Answers

Answer:

-21 =x

Step-by-step explanation:

9(3x+3)=10(3x+9)

Distribute

27x +27 = 30x +90

Subtract 27x from each side

27x+27 -27x = 30x-27x +90

27 = 3x+90

Subtract 90 from each side

27-90 = 3x +90-27

-63 = 3x

Divide by 3

-63/3 = 3x/3

-21 =x

Answer:

x = -21

Step-by-step explanation:

9(3x+3) = 10(3x+9)

27x + 27 = 30x + 90

-30x + 27x = 90 - 27

-3x = 63

x = -21

Angles A and B are complementary to each other. If m2A = 26° + x and
m2B - 38° + X, what is the value of x?
A.) 13
B.) 14
C.) 58
D.) 18

Answers

Answer:

13

Step-by-step explanation:

Complementary angles add to 90 degrees

A+ B = 90

26+x  + 38+x = 90

Combine like terms

2x+64=90

2x+64-64 = 90-64

2x = 26

Divide by 2

2x/2 = 26/2

x = 13

The area of an isosceles triangle is 52 square inches. The height is 8 in. What is the length of the base?

Answers

Answer:

base = 13 in

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 52 and h = 8 , then

[tex]\frac{1}{2}[/tex] b × 8 = 52

4b = 52 ( divide both sides by 4 )

b = 13

someone help me with this

find points a b c

Answers

Answer:

<a=32

<b=40

<c=40

Step-by-step explanation:

to find angle a you have to subtract the 50 minus 180 to find the angle close to the 50 because angles in a straight line add up to 180. the answer will be

180-50=130

after finding the angle in that triangle you must add it to the other angle present which is 18° then subtract by 180 because angles in a straight line add up to 180

130+18+a=180

a=180-148

a=32 and that's how you find a

to find b you must know that the angle at the center is twice the angle at the circumference meaning the large angle C is 90°,now if it's 90° inorder to find the big angle B you must add the 18+90 then subtract 180

18+90+B=180

B=180-108

=72

since the combination of angle a and b will give you 72 you can find angle c by subtracting a from 72

c=72-32

=40

then if you look at angle c and angle b you can tell that they are alternating meaning angle b is also 40

I hope this helps

2 similar cardboards have areas of 24cm square and 150cm square. if the length of the bigger one is 10cm, what is the length of the smaller one​

Answers

Answer:

4 cm

Step-by-step explanation:

Given 2 similar figures with sides in ratio a : b , then

ratio of areas = a² : b²

let n be the length of the smaller one , then

ratio of sides = n : 10

ratio of areas = n² : 10² = n² : 100

Using proportion

( [tex]\frac{ratio}{area}[/tex] )

[tex]\frac{n^2}{24}[/tex] = [tex]\frac{100}{150}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

3n² = 48 ( divide both sides by 3 )

n² = 16 ( take the square root of both sides )

n = [tex]\sqrt{16}[/tex] = 4

length of the smaller one is 4 cm

7.

Which kind of function best models the data in the table? Graph the data and write an equation to model the data.


A. exponential; y = 3x – 1

B. linear; y = x – 1

C. quadratic; y = x2 – 1

D. linear; y = –x – 1

Answers

Answer:

D. linear; y = –x – 1

Step-by-step explanation:

Linear; y=-x - 1

The slope is negative since it’s decreasing. So it’s not the first equation. It’s not a quadratic equation because there is no forming U shape for this data. It’s not a exponential function because the slope is not 3 and a exponential function is in the form y=a(b)^x

...............................................................................................................................................

Answer:

The correct answer is D) linear; y = –x – 1

Step-by-step explanation:

To find this, use any values in the table and it will produce a true statement. This is how we check to see if a model is correct. See the two examples below for proof.

(4, 5)

y = -x - 1

-5 = -4 - 1

- 5 = -5 (TRUE)

(0, -1)

y = -x - 1

-1 = 0 - 1

-1 = -1 (TRUE)

ef is the median of trapezoid abcd (please explain the answer im so confused lol)

Answers

Step-by-step explanation:

Okay, so...

The Median of a trapezoid is directly in the middle. For some weird mathimatical reason you won't ever need to know unless it's on an exam or you become a math major, its midsegment is the average of the top length and the bottom length.

In other words,

EF = ( BC + AD ) / 2

So for part 1, we can use that equation to find x.

[tex]EF = ( BC + AD ) / 2[/tex]

Insert known equations.

[tex]4x-18=[(x+12)+(3x-4)]/2[/tex]

Simplify within parentheses.

[tex]4x-18=[x+12+3x-4]/2[/tex]

[tex]4x-18=[x+3x+12-4]/2[/tex]

Add.

[tex]4x-18=[4x+8]/2[/tex]

Divide.

[tex]4x-18=2x+4[/tex]

Simplify.

[tex](4x-2x) +(-18+18)=(2x-2x)+(4+18)[/tex]

[tex]2x=22[/tex]

Divide both sides by 2.

[tex]x=11[/tex]

Part 2 is a lot easier now. All we have to do is plug in 11 for x.

[tex]BC =x+12[/tex]

[tex]BC = 11+12[/tex]

[tex]BC = 23[/tex]

-

[tex]AD = 4x-18[/tex]

[tex]AD = 4(11)-18[/tex]

[tex]AD = 44-18[/tex]

[tex]AD = 26[/tex]

-

[tex]EF = 3x-4[/tex]

[tex]EF = 3(11)-4[/tex]

[tex]EF = 33-4[/tex]

[tex]EF = 29[/tex]

Answer:

Part I: x = 11

Part II:

BC = 23AD = 26EF = 29

The value of w???????

Answers

Answer:

Step-by-step explanation:

The angle bisector of a triangle divides the opposite side in 2 segments that are proportional to the other 2 sides of the triangle. Namely:

[tex]\frac{15}{18}=\frac{w}{30}[/tex] and cross multiply.

18w = 450 so

w = 25

What does media literacy mean?
A. The practice of reading things that are on a screen
B. The practice of being able to identify the different types of media
C. The practice of being able to access, analyze, and evaluate media
D. The practice of using multiple media at one time

Answers

Answer:

C.

Step-by-step explanation:

Media literacy encompasses the practices that allow people to access, critically evaluate, and create or manipulate media.

Martina is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
74, 64, 90, 74, 92, 68, 71
Find the range of the data set.

=___

Answers

Answer:

28

Step-by-step explanation:

Subtract highest number from lowest.

92-64 = 28

the perimeter of equilateral triangle is 21m. Find the area. Using Heron's Formula


plzzz answer fast i will mark brainliest.

Answers

Answer:

A ≈ 21.22 m²

Step-by-step explanation:

The area (A) of a triangle using Heron's formula is

A = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

where s is the semi perimeter and a, b, c the sides of the triangle.

Here the perimeter of the equilateral triangle is 21 m , then

a = b = c = 21 ÷ 3 = 7 m

s = 21 ÷ 2 = 10.5

Then

A = [tex]\sqrt{10.5(10.5-7)(10.5-7)(10.5-7)}[/tex]

   = [tex]\sqrt{10.5(3.5)(3.5)(3.5)}[/tex]

   = [tex]\sqrt{450.1875}[/tex]

   ≈ 21.22 m² ( to 2 dec. places )

A stationary shop markdown their writing boards by 40%. The markdown is $32. What is the original selling price and selling price after markdown of the writing boards?
A.$50, $25
B.$60, $24
C.$80, $48
D.$70, $28

Answers

Answer:

The original price is 80

The new price is 48

Step-by-step explanation:

Let x be the original price

x - .4x = new price

.6x = new price

.4x = markdown

.4x= 32

.4x/.4 = 32/.4

x =80

The original price is 80

.6x = new price

.6(80) =  48

Ur answer should be C

I need help finding the measures

Answers

Answer:

a = 50

b = 50

c = 80

d = 50

e = 130

Step-by-step explanation:

e = 180 - (25 + 25)   {Angle sum property & It is an isosceles triangle}

    = 180 - 50 = 130

a +e = 180  {Linear pair}

a + 130 = 180

a = 180 - 130

a = 50

d =a   {Vertically opposite angles}

d = 50

c = 180 -(50+ 50 )     {Angle sum property & It is an isosceles triangle}

c = 180 -100

c = 80

a+b + c = 180  {Straight angles}

50 + b + 80 = 180

  b + 130 = 180

          b = 180 - 130

          b = 50

A car is purchased for $21,500. After each year, the resale value decreases by 25%. What will the resale value be after 5 years?

Answers

Answer:

$5,102.05

Step-by-step explanation:

Present value of the car = $21,500

Present percentage value = 100% = 1

Percentage of Depreciation per year = 25% = 0.25

Years of depreciation = 5 years

The value of the car after 5 years = Present value of the car (Present percentage value - Percentage of Depreciation per year)^Years of depreciation

= 21,500(1 - 0.25)^5

= 21,500(0.75)^5

= 21,500(0.2373046875)

= 5,102.05078125

Approximately,

The value of the car after 5 years = $5,102.05

Find the measure of the indicated angle to the nearest degree

Answers

[tex] \cos(θ) = \frac{6}{32} \\ θ = 79.19[/tex]

For a one-way within-subjects ANOVA, the mean difference attributed to the manipulation is in the ________, and the mean difference attributed to individual differences is in the ________ of the test statistic. numerator; numerator denominator; numerator numerator; denominator denominator; denominator

Answers

Answer:

1. numerator;

2. denominator

Step-by-step explanation:

For a one-way within-subjects ANOVA, the mean difference attributed to the manipulation is in the NUMERATOR, and the mean difference attributed to individual differences is in the DENOMINATOR of the test statistic.

HELP ASAP PLEASEREEEEE

Answers

Answer:

uh

Step-by-step explanation:

my guy, I DK.

A fruits seller bought some lemon for Re 1 for 15 lemon. if he sold all lemons at 25% profit, how many lemons were sold for Rs 1.​

Answers

Answer:

12 lemons

Step-by-step explanation:

CP of 15 lemon = ₹ 1

Profit = 25 %

SP of 15 lemons = [tex]\frac{100+profit}{100}*CP[/tex]

    [tex]= \frac{125}{100}*1\\\\= \frac{5}{4}[/tex]

SP of 15 lemons =  ₹  [tex]\frac{5}{4}[/tex]

Number of lemon for  ₹  [tex]\frac{5}{4}[/tex]  = 15

Number of lemons for  ₹  1 = 15 ÷ [tex]\frac{5}{4}[/tex]

                                            [tex]= 15 *\frac{4}{5}\\\\= 3*4\\\\= 12[/tex]

If f(x)=16x-30 and g(x)=14x-6 for which value of x does (f-g)(x)=0

Answers

Answer:

12

Step-by-step explanation:

f(x)=16x-30

g(x)=14x-6

f(x) - g(x) = 16x-30 - (14x-6)

               = 16x - 30 - 14x +6

                = 2x -24

Set this equal to zero

2x-24 = 0

Add 24 to each side

2x-24 +24 = 0+24

2x = 24

Divide by 2

2x/2 =24/2

x = 12

x=12

Answer:

Solution given:

f(x)=16x-30 and g(x)=14x-6

(f-g)(x)=0

or

f(x)-g(x)=0

16x-30-14x+6=0

2x-24=0

2x=24

x=24/2

x=12

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