Which is larger? The measure of a central angle of a circle that intercepts a 68 degrees arc or the measure an inscribed angle of a circle that intercepts a 68 degrees arc. Explain.

Answers

Answer 1

9514 1404 393

Answer:

  the central angle

Step-by-step explanation:

The measure of the central angle is the same as that of the arc: 68°. The measure of the inscribed angle is half the measure of the arc: 68°/2 = 34°. The central angle is larger.

_____

Additional comment

Consider the chord between the end points of the arc. Any inscribed angle whose vertex is on the long arc between the ends of the chord will have the same measure: 34°. If the vertex is moved off that long arc into the interior of the circle, the angle increases in size. When the vertex is at the center of the circle, the angle measure is the same as the arc measure: 68°. As the vertex approaches the chord, the measure of the angle increases. It becomes 180° when the vertex is on the chord, forming a straight angle.

The smallest angle that can be made with the chord ends and a vertex inside the circle is the inscribed angle. So, the central angle is larger.


Related Questions

ABC city residents vote on construction of a new playground. The number of votes in favor of playground was 3500
and the votes against it were 1500. What percent of the votes were in favor of building a new playground?
NEED ASAP

Answers

Answer:

70% in favor of building a new playground  

3500 (in favor) + 1500 (against it) = 5000 (total number votes)

3500 (in favor)                                              1500 (against it)

-------------------    = 0.7 / 70%                          -------------------     =0.3 / 30%

5000 (total)                                                      5000 (total)            

PLEASE HELP ASAP!! (send me a direct answer too please)
Write an equation for distance and time of a bug crawling across a number line at -3 m/s that crosses the zero at time zero

Answers

Answer:

P = -3t

Step-by-step explanation:

Since it starts at time zero, and our velocity is -3m/s, our equation for position could be modeled for time as P = -3t

6)
Simplify
12
A)
B
5
BV
D
BV

Answers

Answer:

"The square root of 12 is represented in the radical form as √12, which is equal to 2√3. Since 2√3 cannot be further simplified, hence such roots are called surds"

Step-by-step explanation: I just looked it up-

Under her cell phone plan, Aubree pays a flat cost of $50.50 per month and $4 per gigabyte. She wants to keep her bill at $56.10 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Aubree can use while staying within her budget.

Equation:
Answer: gg =

Answers

Answer:

4.4 gibrayets should be it

HELP ME QUICK WILL GIVE BRAINLIEST

Answers

23 is the answer i think

Dr. Spruill conducted a one-way ANOVA on a set of data examining political opinions after participants watched different propaganda footage from different eras. Each condition saw a different reel of footage and one condition simply watched a movie with no political agenda. Dr. Spruill's one-way ANOVA yielded significant results, but it was not able to tell him where the specific difference existed. Dr. Spruill will need to follow-up with which analysis to test all possible combinations of the conditions?
a. post-hoc analyses
b. factorial analysis
c. independent sample t-test
d. planned contrasts

Answers

Answer:

a. post-hoc analyses

Step-by-step explanation:

Post-hoc analyses refers to the analyses done after the complete study is accomplished and the conclusion is derived. After the derivation of the conclusion, the data are observed that whether or not they were specified previously. The data that is already collected is analyzed and new analysis is made out of thee data. The previous data is used for new analyze and new objective.  

In the given situation, Dr. Spruill should follow post-hoc analyses to test all the possible combinations that can be derived from the given conditions.

Find the radius of the curcle

Answers

Answer:

radius=diameter/2

=9/2

=4.5 in.

diameter=radius*2

=3m*2

=6m

Step-by-step explanation:

Step-by-step explanation:

1) r=d/2

r=9in/2

r=4.5in

2) d= r×2

d=3m×2

d=6m

what is 34.287 rounded to the nearest tenth (im to lazy to answer this but i will give brainliest and no links please)

Answers

Answer:

34.3

Step-by-step explanation:

Answer:  The answer is  (34.3)

Step-by-step explanation:

Since you're rounding to the nearest tenth,  you gotta look at the hundreds place which is 8. 8 rounds up so therefore, 2 rounds up and becomes 3. Which gives you the answer (34.3)

~ Hope this helps you out, have a gr8 day/night my friend!~

ILL GIVE BRAINLEST, please no links and explain please:)

Answers

Answer:

146 degrees

Step-by-step explanation:

The sum of internal angles of any quadrilateral is always 360 degrees. This means x is 360 - (107 + 49 + 58), which is 360 - 214, which equals 146.

Thirteen more than the quotient of twenty and four

Answers

Answer:

19

Step-by-step explanation:

20/4 + 13

20/4 = 6

6+13 = 19

Answer:

The equation is 13 + [tex]\frac{20}{4}[/tex] or 13 + (20 ÷ 4)

The answer is 13 + 5 = 18

5) A new car is available in a sedan model and a hatchback model. It is available in six different colors. Customers can choose to add any combination of six optional features. Find the number of possible outcomes.​

Answers

There are two models so there are 2 ways to choose
In each way, there are 6ways to choose the colour and in each colour there are 6 ways to choose the features.
So the answer is 2.6.6=72

What is the messing reason in step 3

Answers

Answer:

Linear Pair Theorem

Step-by-step explanation:

Linear Pair Theorem:

If two angles form a linear pair, then they are supplementary, and the sum of their measures is 180°.

y=-x+3 y = -2.x +7 = 5.​

Answers

Answer:

Slope: 3/5

y-intercept: 7

Step-by-step explanation:

Im a little stuck can I have some help?

Answers

7, the missing angle is the hypotenuse so you add the other two angles to find that

Sunnyspot earnings were 8329 more than that of silver sky right aid an addition equation be defined your variable and see solve to find silver sky zone

Answers

Answer:

ik number 15 as well

Step-by-step explanation:

what value
At a spark plug factory, the machine that sets the gap follows a normal distribution with a mean of 4.1 mm
and standard deviation of 0.075 mm. Find the 40th percentile of gap distances.

Answers

Answer:

i would say D but i am not entirely sure

Step-by-step explanation:

sorry if i am wrong

derivative of
[tex] \frac{ {3x}^{2} - 2x - 1 }{ {x}^{2} } [/tex]
Show a step.​

Answers

Answer:

[tex] \displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3} [/tex]

Step-by-step explanation:

we would like to figure out the derivative of the following:

[tex] \displaystyle \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} } [/tex]

to do so, let,

[tex] \displaystyle y = \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} } [/tex]

By simplifying we acquire:

[tex] \displaystyle y = 3 - \frac{2}{x} - \frac{1}{ {x}^{2} } [/tex]

use law of exponent which yields:

[tex] \displaystyle y = 3 - 2 {x}^{ - 1} - { {x}^{ - 2} } [/tex]

take derivative in both sides:

[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx} (3 - 2 {x}^{ - 1} - { {x}^{ - 2} } )[/tex]

use sum derivation rule which yields:

[tex] \rm\displaystyle \frac{dy}{dx} = \frac{d}{dx} 3 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2} [/tex]

By constant derivation we acquire:

[tex] \rm\displaystyle \frac{dy}{dx} = 0 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2} [/tex]

use exponent rule of derivation which yields:

[tex] \rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ - 1 -1} ) - ( - 2 {x}^{ - 2 - 1} )[/tex]

simplify exponent:

[tex] \rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ -2} ) - ( - 2 {x}^{ - 3} )[/tex]

two negatives make positive so,

[tex] \displaystyle \frac{dy}{dx} = 2 {x}^{ -2} + 2 {x}^{ - 3} [/tex]

further simplification if needed:

by law of exponent we acquire:

[tex] \displaystyle \frac{dy}{dx} = \frac{2 }{x^2}+ \frac{2}{x^3} [/tex]

simplify addition:

[tex] \displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3} [/tex]

and we are done!

The boat top speed was 2 miles per hour less then 3/5 the cars top speed. The boats top speed was 73 miles per hour.what was the top speed of the car ?

Answers

Answer:

Word Problem. Hmm

The Interpretation of the first expression

Let boat top speed be x and car's top speed be y

x= 3y/5 – 2

From the question

x= 73miles per hr

73= 3y/5 - 2

3y/5 = 73+2

3y/5=75

y= 75x5/(3)

y=125miles per hr.

This is the car's top speed. Thanks

PLS HELP ME GIVING OUT BRAINLIEST ANSWER!!

Answers

Answer:

4r^2

Step-by-step explanation:

The area of a square is the square of the side length. Since a circle with radius r is inscribed inside the square, the side length of the square is 2r. Therefore, the area of the square is (2r)^2, which is 4r^2.

Note that the area of the circle is [tex]\pi r^2[/tex].

4x−3y=18 Step 2 of 2 : Determine the missing coordinate in the ordered pair (?,12) so that it will satisfy the given equation.

Answers

Answer:

13.5

Step-by-step explanation:

The point with the missing coordinate is (?, 12), so the value of  y  is 12.  Plug 12 into the equation in the place of  y.

4x - 3(12) = 18

4x - 36 = 18

4x = 54

x = 54/4 = 13.5

Answer:39/8

Step-by-step explanation:

4x-3(1/2)=18

4x-3/2=18

4x=18+3/2

4x=39/2

x=39/8

find the distance between (0,-3) and (4,0)
round your final answer to the nearest tenths place

Answers

Answer: Using the distance formula to determine the distance between two points we get the distance of five.

Step-by-step explanation: The distance between the two points is 5 units.

A Volkswagen Jetta trunk is 47 inches wide by 42 inches deep by 22 inches high. What is the volume of the trunk?

A.
111 cubic inches

B.
7,864 cubic inches

C.
1,974 cubic inches

D.
43,428 cubic inches

Answers

Answer:
C. Is the answer

Explanation:

some one please help me with this i don’t get it ughhhh

Answers

Answer:

i think its 0

Step-by-step explanation:

2. The area of a rectangle is 42 square meters. The length is 7 meters. What is the width? 15 meters O 35 meters 14 meters 6 meters​

Answers

Answer:

6 meters

Step-by-step explanation:

7x6=42

CAN SOMEONE HELP ME WITH THIS

Answers

The answer is B not any other mostly because you need to

subtract both equations to remove the variable.

If $1,000 is invested at an interest rate of 10% per year, compounded monthly, find the amount of the investment at the end of 4 years

Answers

Answer:

$1489.35

General Formulas and Concepts;

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

P is principle amountr is raten is compounded ratet is time (in years)

Step-by-step explanation:

Step 1: Define

Identify variables

P = 1000

r = 10% = 0.1

n = 12

t = 4

Step 2: Solve for A

Substitute in variables [Compounded Interest Rate Formula]:                     [tex]\displaystyle A = 1000(1 + \frac{0.1}{12})^{12(4)}[/tex](Parenthesis) Add:                                                                                            [tex]\displaystyle A = 1000(\frac{121}{120})^{12(4)}[/tex][Exponents] Multiply:                                                                                        [tex]\displaystyle A = 1000(\frac{121}{120})^{48}[/tex]Evaluate exponents:                                                                                         [tex]\displaystyle A = 1000(1.48935)[/tex]Multiply:                                                                                                             [tex]\displaystyle A = 1489.35[/tex]

I’ll
Give Brainlest

Write 1.28:3.12 as a whole number ratio in it's simplest from.

Answers

Answer: 1.28 : 3.12 = 16 : 39

Step-by-step explanation: now let me sleep

33)
Which graph is given by the equation y = -3x - 3?
A)
B)
D)

Answers

Answer:

A. (I couldn't really see the last graph, but I am 89% sure that it is A)

Step-by-step explanation:

PLEASE HELP ME. I WIL GIVE YOU BRAINLIEST

Answers

Answer:

1) Missing Length: 20 m

Equation: [tex]c^2=16^2+12^2[/tex]

2) Missing Length: 100√5 mm

Equation: [tex]c^2=100^2+200^2[/tex]

Step-by-step explanation:

1) We can use Pythagorean Theorem to solve this triangle and find the length of the hypotenuse.

[tex]c^2=16^2+12^2[/tex]

[tex]c^2=256+144[/tex]

[tex]c^2=400[/tex]

Luckily, 400 is a perfect square :)

[tex]c=20[/tex]

So, the length of the hypotenuse is 20 cm.

2) Again, we can use the Pythagorean Theorem to find the missing length.

[tex]c^2=100^2+200^2[/tex]

[tex]c^2=10000+40000[/tex]

[tex]c^2=50000[/tex]

[tex]c=\sqrt{50000}[/tex]

But, we can still simplify the radical.

[tex]\sqrt{50000}[/tex]

[tex]=100\sqrt{5}[/tex]

So, the length of the missing length is 100√5 cm.

6(3b-5) b=5
is the value 60​

Answers

Answer:

Yes

Step-by-step explanation:

6((3×5)-5)

6(15-5)

6(10)

60

Hope this helps!! :)

Other Questions
rewrite 4^-3*4^-18 using positive exponents(-4)^211/4^151/4^541/4^21 How many quarts are there in 10 12 gallons? Write an equation to show your workplz answer fast it is a test! The graph represents the reaction 2H20 + 02->2H2O2 as it reachesequilibrium. Based on the graph, which two statements about this ractionare true? At a large university, 20% of a random sample of male students have an overall grade point average (GPA) of 3.5 or higher. A random sample of female student records found that 25% had a GPA of 3.5 or higher. The president of the university wants to determine whether there is evidence of a difference in grades between males and females. What would she write as the null and alternative hypotheses for this situation?Answer choices H0:p1 p2 = 0 and Ha:p1 p2 0 H0:p1 p2 = 0 and Ha:p1 p2 > 0 H0:p1 p2 = 0 and Ha:p1 p2 < 0 H0:p1 p2 > 0 and Ha:p1 p2 = 0 H0:p1 p2 > 0 and Ha:p1 p2 0 A six-sided number cube is rolled 350 times and the results are recorded as follows: 58 ones, 63 twos, 52 threes, 61 fours, 60 fives, and 56 sixes. What is the experimental probability of rolling a five? Round to the nearest whole percent if necessary.A) 83%B) 93%C) 7%D) 17% Americans consumers get _____ of all their calories from food outside the home.a. 75 percentb. 25 percentc. 10 percentd. 30 percent how many radians is 288 Please answer:Which is a diagonal through the interior of the cube?A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.A.) Side A HB.)Side B EC.)Side C HD.)Side F G A rectangular prism has a base 3 cm by 4 cm and is 5 cm in height.What is the surface area of the rectangular prism?A. 94 cm2C. 60 cmB. 70 cm2D. 47 cm I need to find a song that correlates with Act II scene III of Romeo and Juliet. I've been searching nonstop trying to find a good one but this scene is a little difficult to find a song to match up with it. *no love story by taylor swift plss* compared with the graph of f(x) equals five^x, The graph of which function is shifted up 2 units and left 3 units? PLEASE HELP ILL GOVE BRAINLYIST Solve 8y = 72.The solution is y = I have 2 questions here that I need help with. Thank you to whoever helps! Unidad 3 etapa 1 estar and feeling What is the following quote saying:"History never looks like history when you are living through it." --John W. Gardner"-- Paul gave Dan a television set and Dave told him he would pay $600 they failed to pay can Paul sue day for breach of contract This advertisement mentions each of the following benefits of shopping at OpticaPTICA SAMUEL Precios competitivosGran seleccin Ajustes y reparacionesServicio el mismo da Lentes de contacto Gafas de sol con o sin prescripcinTel. 12.34.56c/Robles 14 Create a C program with the following process synchronization behavior. This synchronization process continues forever. You need to provide your own signal handling functions in the Parent, Child 1, Child 2, and Child3, each printing out a message with the cumulative number of signals received. 3. When bicycles are received: * O Ceremony of Twelve O Ceremony of one O Ceremony of SevenO Ceremony of Nine I have 6 eggsI broke 2I cooked 2I ate 2How many eggs do I have left? Explain your answer.