The circle above has center O, the length of arc ADC is 57, and x = 100. What is the length of arc ABC ?​

Answers

Answer 1

The length of arc ABC with center O and radius of 9 units is 13π.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let r represent the radius of the circle. Hence:

arc ADC = (100 / 360) * 2πr

5π = (100 / 360) * 2πr

r = 9 units

arc ABC = (260 / 360) * 2π(9) = 13π

The length of arc ABC with center O and radius of 9 units is 13π.

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The Circle Above Has Center O, The Length Of Arc ADC Is 57, And X = 100. What Is The Length Of Arc ABC

Related Questions

please help me with this

Answers

Answer:

94 Wins

Step-by-step explanation:

Here we need to find the mean, to do this we add up all the values then divide the sum by how many values we started out with.

97 + 103 + 92 + 95 + 84 = 471

471 / 5 = 94.2

since we got a decimal we can round to find an exact number; since the decimal is under .5 we will round down, 94

So 94 wins would be the correct answer. Hope this helped!

Instructions: Find the measure of the indicated angle.

Answers

Answer:

42 degrees

Step-by-step explanation:

The measure of the indicated angle is 42 degree.

What is Isosceles Triangle ?

An isosceles triangle has two equal sides regardless of the direction the apex (or peak) of the triangle points. Some useful information regarding isosceles triangles is as follows:

It has two parallel sides.It has two equal angles, which are known as the basis angles.A right isosceles triangle is one in which the third angle is 90 degrees.

We have a Triangle.

Then, using Isosceles Triangle Theorem

Angles opposite an isosceles triangle's equal sides are also equal.

According to the isosceles triangle theorem, if two sides of a triangle are congruent, then the angles opposite the congruent sides are likewise congruent.

So, x= 42 degree.

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if your catering people and its $80 for 6-8 people how much would it be to cater 128 people

Answers

Well if it’s 8 people that means that it’s 10 dollars per person which would make the total for 128 people $1280. But if it was 6 people it would be about 13 dollars per person. Which would make the total $1,664

Answer:

Your answer(s) is $1,706.67, $1,462.86, or $1,280

Step-by-step explanation:

This really varies based on whether you take $80 as equal to 6 people, 7 people, or 8 people.

I'll list all three explanations and you can choose one.

6 people: 1,706.67 (rounded to nearest cent)

128 ÷ 6 = 21.33333333

21.33333333 × 80 = 1,706.67

7 people: 1,462.86 (rounded to nearest cent)

128 ÷ 7 = 18.28571428571429

18.28571428571429 × 80 = 1,462.86

8 people:

128 ÷ 8 = 16

16 × 80 = 1,280

The probability of getting a soda at the movie theater is 70%. What is the probability that the next three guests in the movie theater will get a soda

Answers

The probability that the next three guests in the movie theater will get a soda, when the probability of getting a soda at the movie theater is 70% is 0.343 or 34.3%.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The probability of getting a soda at the movie theater is 70%.

[tex]P=70\%\\P=\dfrac{70}{100}\\P=0.7[/tex]

By the chain rule, the probability of getting the soda to the next 3 guest is equal to the cube of the probability of getting a soda at the movie theater.

Thus, the probability that the next three guests in the movie theater will get a soda is,

[tex]P^3=0.7^3\\P^3=0.343[/tex]

Thus,the probability that the next three guests in the movie theater will get a soda, when the probability of getting a soda at the movie theater is 70% is 0.343 or 34.3%.

Learn more about the probability here;

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A can of diced tomatoes has a height of 11.5 cm and a diameter of 10 cm.
What is the volume of the can? Use 3.14 for i.
DO NOT round your answer.
A cubic cm

Answers

Answer:

10 cm

Step-by-step explanation:

the can is shaped like a cylinder

first step is to find the radius and then multiply the figure by 2

volume of a cylinder = nr^2h

n = 22/7

r = radius

903 = 11.5 x r^2 x 3.14

r^2 = 903 / (3.14 x 11.5)

r = 5 cm

diameter = 10cm

Jerry is inviting 8 people to her party. She would like for each guest to have 1/2 of a giant cookie. How many cookies will she need to buy?

Answers

4?
Explanation :
She wants them to have 1/2 of a giant cookie. 4 divided by 8 is equal to .5= 1/2
The answer is 4
Explanation- there are 8 people and plans to give 1/2 cookies to each, 8 decided by 2 =4

A blood drive is being held at a local library. The coordinators of the drive wish to provide cylindrical cup of water to each participant. Each cup measures 5 inches tall with a radius

of 2 inches. How much water will each cup fold if filled to only 4 inches? Round to the nearest hundredth.

Answers

Answer:

50.24

Step-by-step explanation:

the formula to find a circle is radius times radius times pi, which equals 3.14.      The radius is 2 so radius times radius would be 4. Now u times it by pi so 4 times 3.14 equals 12.56. Do this times ur hight wich is times 4 and u come up with 50 .24

f

Factorise 3(3x-y)-(y-3x)

Answers

Answer:

4(3x-y)

Step-by-step explanation:

Given:

[tex]\displaystyle \large{3(3x-y)-(y-3x)}[/tex]

To factor this kind of expression, first, find the common factor.

[tex]\displaystyle \large{3(3x-y)-(-3x+y)}\\\displaystyle \large{3(3x-y)+(3x-y)}[/tex]

Notice that in the expression, we have both same (3x-y). Therefore, (3x-y) is our factor.

Let u = 3x-y

[tex]\displaystyle \large{3u+u}\\\displaystyle \large{4u}[/tex]

Change u back to 3x-y:

[tex]\displaystyle \large{4(3x-y)}[/tex]

Therefore, the factored expression is 4(3x-y).

help me please need help missing lengths​

Answers

Step-by-step explanation:

please mark me brilliant

Step-by-step explanation:

5. θ = 60°

→ To find the value of y ,

Cos θ = b/h

putting the values in terms of cos

Cos 60° = y/16

1/2 = y/16

16/2 = y

y = 8 unit

→ To find the value of x ,

Sinθ = P/h

putting the values in terms of sin

Sin60° = x/16

√3/2 = x/16

16×√3/2 = x

16×1.73/2 13.84 unit

6. θ = 30°

→ To find the value of y

tanθ = p/b

putting the values in terms of tan

tan 30° = 2/y

1/√3 = 2/y

2×√3 = y

3.46 unit = y

→ To find the value of x

Sin θ = p/h

putting the values in terms of sin

Sin 30° = 2/x

1/2 = 2/x

4 unit = x

Solve the system of equations y = 2x^2 + x – 6 and y = 4

Answers

Step-by-step explanation:

Substitute y = 4 into the first equation:

[tex]4=2x^2+x-6[/tex]

Subtract 4 from both sides:

[tex]2x^2+x-10=0[/tex]

We can factor in order to find values of x.

Factor the equation:

[tex]2x^2+x-10=0[/tex]

Factors of 10 we'll use:

5 and 2.

[tex](2x+5)(x-2)=0[/tex]

Set the parentheses equal to 0 then find the values of x:

[tex](2x+5)=0[/tex]

[tex]x=-2\frac{1}{2}[/tex]

[tex](x-2)=0[/tex]

[tex]x=2[/tex]

[tex]x=2, \: or \: -2\frac{1}{2} .[/tex]

Check:

[tex]4=2(2)^2+2-6[/tex]

[tex]4=2(4)+2-6[/tex]

[tex]4=4 \: \checkmark[/tex]

[tex]4=2(-2\frac{1}{2} )^2-2\frac{1}{2} -6[/tex]

[tex]4=2(6\frac{1}{4})-2\frac{1}{2} -6[/tex]

[tex]4=12\frac{1}{2} -2\frac{1}{2} -6[/tex]

[tex]4=10-6[/tex]

[tex]4=4 \: \checkmark[/tex]

The area of a rectangle is 56 cm, Tho longth is 2 cm more than x and the width is 5 cm less than
twico x. Solve for x. Round to the nearest whole number,

Answers

Answer:

9

Step-by-step explanation:

Since Area = L × W

Thus,

Area = (x + 2)(2x - 5) = 56

x^2 +4x - 5x - 10 = 56

x^2 - x - 10 = 56

x^2 - x - 66

Using the quadratic formula:

a = 1

b = - 1

c = - 66

Solving:

[tex]\frac{x = (-b) +/- sqrt(b^2 - 4ac)}{2a}[/tex]

[tex]\frac{x = 1 + /- sqrt(1^2 - 4(1)(-66)}{2(1)}[/tex]

[tex]\frac{1 +/- sqrt (265)}{2}[/tex]

17.279/2

8.639

Round = 9

~Lenvy~

please help ! ASAP step by step explanation please ​

Answers

Answer:

0

Step-by-step explanation:

→ First find inverse cosine 1/2

60°

→ Now multiply this answer by 3 because then if you substitute it in you get 0.5

∝ = 180°

→ Now find sine of 180°

0

In a 30 - 60 - 90° triangle x= 7.5 feet
What is the length of the hypotenuse?

Answers

Answer: 15ft or 7(2)

Step-by-step explanation:

The opposite side or the side standing up is the "x" side the hypotenuse is double the size of the opposite in a 30-60-90.

Activity 2
use the given information of triangle ACB to find the six trigonometric ratios.​

Answers

Answer:

1. b/c        4. c/b

2. a/c       5. c/a

3. b/a       6. a/b

Step-by-step explanation:

sin theta = opposite/hypotenuse    = b/c

cos theta = adjacent/hypotenuse   = a/c

tan theta= opposite/adjacent          = b/a

For the rest, you just flip it:

csc theta  = c/b

sec theta = c/a

cot theta = a/b

I need help with my math.

Answers

bottom right d a m n near

Last year at a certain high school, there were 84 boys on the honor roll and 50 girls
on the honor roll. This year, the number of boys on the honor roll decreased by 25%
and the number of girls on the honor roll decreased by 16%. By what percentage did
the total number of students on the honor roll decrease? Round your answer to the
nearest tenth (if necessary).

Answers

Answer:

Step-by-step explanation:

Boys Girls

84 50

%decrease %decrease

-25% -16%

84=100% 50=100%

75% 84%

75/100×84 84/100×50

=63 =42

84+50=134

63+42=105

134-105=29

134=100%

29

29/134×100

21.6%

9n^2-10=890 solve by taking square roots

Answers

Answer:

n=3.3

Step-by-step explanation:

9n²-10=890    1. + 10 on both sides

9n² = 900

[tex]9n²[/tex]= 9n

[tex]900[/tex] = 30

9n=30  2. /9 on both sides

n=3.33

the 3's repeat

if x = 1/4 and Y = 3/7 evaluate the following expression 7x-4y ​

Answers

If x = 1/4 and Y = 3/7

Evaluate the following expression: 7x - 4y

[tex] \\ [/tex]

[tex] \rm{7 ( \frac{1}{4}) - 4( \frac{3}{7} ) } \\ [/tex]

Substitute the given value of x and y

[tex] \rm { \orange{7 \times \frac{1}{4} }} - 4 \times \frac{3}{7} \\ [/tex]

Calculate the product of the rational numbers

[tex] \rm{ \frac{7}{4} - \orange{ 4 \times \frac{3}{7 }} } \\ [/tex]

Calculate the product of the rational numbers

[tex] \rm \orange{ \frac{7}{4} - \frac{12}{7} } \\ [/tex]

Find the difference between the two fractions

[tex] = \small{\boxed{{\sf{ \frac{1}{28} }}}}[/tex]

Therefore, the answer is 1/28.

Answer:

Step-by-step explanation:

[tex]\text{Substitute the values of x and y in the expression}[/tex]

[tex]7x - 4y = 7*\dfrac{1}{4}-4*\dfrac{3}{7}[/tex]

            [tex]\sf =\dfrac{7}{4}-\dfrac{12}{7}\\\\ [LCM \ of 4 \ and \ 7 = 28]\\\\ =\dfrac{7*7}{4*7}-\dfrac{12*4}{7*4}\\\\=\dfrac{49}{28}-\dfrac{48}{28}\\\\=\dfrac{1}{28}[/tex]

Giving brainliest to best answer! I need both of these done by 10:50! Pls help!

Answers

Answer:Option BOption ASolution:Multiply the numerator of the first fraction times the numerator of the second fraction:2•4=8Same with the denominators:8•5=40Hence, the fraction is 8/40.Now, let's simplify the second pair of fractions:2•3=66•5=30Answer: 6/30

Hope it helps.

Do comment if you have any query.

IMAGE BELOW I WILL GIVE BRAINLIEST

Answers

Answer: C: -4, -6 B:-14, -6 A:-14, -18

Step-by-step explanation: Multiply all of your points by 2

romina has a maximum of 90 minutes to make traditional mexican paper flowers she spends 15 minutes watching videos on how to make flowers then it takes her 3 minutes to do each flower romina writes the inequality 15 + 3f <90 to repesent the number of flowers F she has to make

Answers

Answer:

f<25, she can make less than 25 flowers to have enough time, (I think the inequalitie sign should have a line underneath it tho meaning, less than or equal to 25 flowers, which would only make sense)

Step-by-step explanation:

First you need I subtracted 15 from 90 which got me 75.

15 + 3f<90

-15       -15

_________

0           75

3f<75

__

3f  

75 divided by 3f= 25

HELP PLEASE WORTH A LOT OF POINTSSSSSSSSS!! SHOW YOUR WORK PLEASEEEEE!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Tan 70 = 16/x

x = 16/tan70

x = 5.824 to the nearest thousandth

tan 41 = 16 / (x + y)

tan 41 = 16 /(5.8235 + y)

tan41(5.8235 + y) = 16

5.8235 + y = 16/ tan41

y = (16/ tan41) - 5.8235

y = 12.582 to the nearest thousandth

What is the area of this composite figure?
I WILL GIVE BRAINLIEST

A figure is comprised of 2 rectangles. The first rectangle has a length of 10.5 centimeters and width of 15.5 centimeters. The second rectangle has a length of 18 centimeters and width of 11.5 centimeters.

135 centimeters squared

207 centimeters squared

249 centimeters squared

279 centimeters squared

Answers

Answer:

249 centimeters squared

Step-by-step Explanation:

The area of the rectangle: l x w, where l is the length and w is the width.

= 15.5 x 18

= 279

Area of the smaller rectangle: l x w, where l is the length and w is the width.

= 4 x 7.5

= 30

We do not need this 30.

Area of the shaded region:

= 279 - 30

= 249 cm²

Ashton was born on the second Saturday in August many years ago. In that August, there were five Mondays and four Tuesdays. On what date was Ashton born?

Answers

Considering the situation described, it is found that Ashton was born on August 8.

What does the fact that there were five Mondays and four Tuesdays mean?

It means that August 31 was on Monday, hence the same is valid for August 24, August 17, August 10 and August 3.

Hence, the first Saturday was August 1, and the second August 8.

A similar problem, involving the interpretation of a situation, is given at https://brainly.com/question/25537936

1 . what’s -3 p + 6 p = ?


Hurry please!!!

Answers

Answer: 3p

Step-by-step explanation: The reason is because -3 + 6 = 3, therefore -3p + 6p = 3p. I hope this helped! If I did anything wrong then please let me know! :)

given:

[tex] - 3p + 6p[/tex]

solution:

first you'll have to combine light terms, both are light terms so,

[tex] - 3p + 6p[/tex]

[tex] =3p[/tex]

How many inches of snow fell each hour? (8th Math)

Answers

Answer:

2 inches

Step-by-step explanation:

If 10 inches of snow fell each hour, then you divide that by five hours to get your average, which then equals 2.  So your answer is 2 inches per hour.

I hope this answered your question and helped you :)

Answer:

Looking at the graph it looks like 5 inches in 2 1/2 hours

Hope this helps :)

hey, can you answer this for me?
9-3x=54?

Answers

Answer:

[tex] \Large{\boxed{\sf x = -15}} [/tex]

[tex] \\ [/tex]

Explanation:

Given equation:

[tex] \sf 9 - 3x = 54 [/tex]

[tex] \\ [/tex]

Subtract 9 from both sides:

[tex] \sf 9 - 3x - 9 = 54 - 9 \\ \\ \sf -3x = 45 [/tex]

[tex] \\ [/tex]

Divide each side by -3 :

[tex] \sf \dfrac{-3x}{-3} = \dfrac{45}{-3} \\ \\ \\ \boxed{\boxed{\sf x = -15}} [/tex]

[tex] \\ \\ [/tex]

▪️Learn more about equations here:

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solve for y 3x+6y=30

Answers

Answer:

the answer= y=5−x/2

Answer: [tex]y=-\frac{1}{2} x+5[/tex]

Step-by-step explanation:

We need to isolate y by itself

Step 1) Subtract 3x from both sides

[tex]3x+6y=30\\3x-3x+6y=30-3x\\6y=30-3x[/tex]

Step 2) Divide both sides by 6 to isolate y

[tex]6y=30-3x\\\frac{6y}{6} =\frac{30}{6}-\frac{3x}{6} \\y=5-\frac{1}{2}x[/tex]

In which quadrant does θ lie given that sinθ < 0 and cosθ < 0? Thank You!
Quadrant I

Quadrant II

Quadrant III

Quadrant IV

Answers

Answer:

Quadrant III

Step-by-step explanation:

sin and cos are both less than zero thus negative

the x and y axis are both negative in QIII

sorry if the explaination is wrong but I know the answer is right bc I took the test

Hello! Mikosan here to help doll!

The Answer is: Quadrant 3

I hope this helps doll!

Have a great day love~

What is the distance from Point A to point D on the number line? Please help!

Answers

Answer:

5

Step-by-step explanation:

Hope this helps! Have a great day!

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