In circle O, central angle AOB measures
radians.
What is the length of arc AB?
6 cm
125 cm
1871 cm
36 cm
18 cm
Answers
Answer: 6 (pi)
Step-by-step explanation:
Feta/3 = (arc)/Radius
The length of arc AB is approximately 18 centimeters.
How to determine the arc length of a circle
The arc length ([tex]s[/tex]) of a circle section, in centimeters, is defined by the following formula:
[tex]s = \alpha \cdot r[/tex] (1)
Where:
[tex]\alpha[/tex] - Central angle, in radians[tex]r[/tex] - Radius, in centimetersIf we know that [tex]\alpha = \frac{\pi}{3}\,rad[/tex] and [tex]r = 18\,cm[/tex], then the length of the arc is:
[tex]s = \frac{\pi}{3}\cdot (18\,cm)[/tex]
[tex]s \approx 18.850\,cm[/tex]
The length of arc AB is approximately 18 centimeters. [tex]\blacksquare[/tex]
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Related Questions
I wish my teacher could explain how to do this plz help
Answers
Answer: (-2,7)
Step-by-step explanation:
Answer:
The answer is c
Because it reflects over the y axis,soo the x axis stays the same
But the y dosent stay the same it turns into a negative
Brainliest plz
Happy to help
Step-by-step explanation:
13. Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (u, P, o) for the indicated
parameter.
A psychologist claims that more than 4.1% of the population suffers from professional problems due to extreme shyness. Use P, the true percentage
of the population that suffers from extreme shyness.
OHo:p> 4.1%
Hips 4.1%
OHo: P = 4.1%
H:p> 4.1%
OHo: p < 4.1%
Hip 24.1%
OHo: P = 4.1%
Hip < 4.1%
Answers
Answer:
Null Hypothesis, [tex]H_0[/tex] : P = 4.1%
Alternate Hypothesis, [tex]H_A[/tex] : P > 4.1%
Step-by-step explanation:
We are given that a psychologist claims that more than 4.1% of the population suffers from professional problems due to extreme shyness.
Let p = true percentage of the population that suffers from extreme shyness.
So, Null Hypothesis, [tex]H_0[/tex] : P = 4.1%
Alternate Hypothesis, [tex]H_A[/tex] : P > 4.1%
Here, null hypothesis states that % of the population who suffers from professional problems due to extreme shyness is equal to 4.1%.
On the other hand, alternate hypothesis states that more than 4.1% of the population suffers from professional problems due to extreme shyness.
So, the above hypothesis would be appropriate for conducting the test.
Consider this system of equations. Which equation represents the first equation written in slope-intercept form?
5 x minus 2 y = 10. y = one-fourth x + 1.
y = five-halves x minus 5
y = five-halves x + 10
y = negative five-halves x + 10
y = negative 5 x minus 5
Answers
Answer:
y= 5/2x - 5
Step-by-step explanation:
5x - 2y = 10
-5x -5x (Subtract both sides by 5x to leave y by itself)
-2y = -5x + 10
-2y/-2 = -5/-2 + 10/-2
(Divide both sides by -2 to leave y with no coefficient. -5/-2 = 5/2 because there are two negatives. 10/-2 = -5.
y = 5/2 - 5
Answer:
A
Step-by-step explanation: i think tell me if im wrong
5, –20, 80,
The geometric sequence?
Answers
Step-by-step explanation:
This sequence is that you should multiply the number by 4 and one number should be positive the other should be negative so
5 -20 80 -320 1280
A certain drug dosage calls for 21 mg per kg per day and is divided into two doses (1 every 12 hours). If a person weighs 181 pounds, how much of the drug should they get each dosage?
Answers
To determine the amount of the drug per dosage, we need to convert the weight of the person from pounds to kilograms and multiply it by the dosage of 21 mg per kg per day. Then, we divide the total amount by 2 to get the amount of the drug per dosage.
Explanation:To determine the amount of the drug per dosage, we need to convert the weight of the person from pounds to kilograms. Since 1 kilogram is equal to 2.2 pounds, we can divide the weight in pounds by 2.2 to get the weight in kilograms. In this case, 181 pounds is approximately 82.27 kilograms.
Next, we multiply the weight in kilograms by the dosage of 21 mg per kg per day. This gives us the total amount of the drug needed per day. In this case, the total amount is approximately 1728.67 mg.
Since the drug is divided into two doses every 12 hours, we divide the total amount by 2 to get the amount of the drug per dosage. Each dosage should be approximately 864.34 mg.
Final answer:
To determine the amount of the drug that should be given each dosage, convert the weight from pounds to kilograms and multiply by the dosage of 21 mg per kg per day. The person should receive approximately 862.05 mg of the drug each dosage.
Explanation:
To determine the amount of the drug that should be given each dosage, we first need to convert the weight of the person from pounds to kilograms. 181 pounds is approximately equal to 82.10 kilograms. Next, we multiply the weight in kilograms by the dosage of 21 mg per kg per day. Thus, the person should receive approximately 1724.10 mg of the drug per day. Because the dosage is divided into two doses, they should receive approximately 862.05 mg of the drug each dosage.
Consider the sequence 60, 53, 46, 39, 32, 25, ...
The common difference of this sequence is
Select one
formula for the sequence is
The tenth term for this sequence is
Select one
Answers
Answer:
The common difference of the sequence is -7
Step-by-step explanation:
Because each time the the numbers are going down by minus 7
The common difference of this sequence is, - 7
And, One formula for the sequence is,
⇒ a (n) = 67 - 7n
And, The tenth term for this sequence is,
⇒ a (10) = - 3
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The sequence is,
⇒ 60, 53, 46, 39, 32, 25, ...
Now, The common difference of this sequence is,
⇒ 53 - 60
⇒ - 7
And, One formula for the sequence is,
⇒ a (n) = a + (n - 1) d
⇒ a (n) = 60 + (n - 1) (- 7)
⇒ a (n) = 60 - 7n + 7
⇒ a (n) = 67 - 7n
And, The tenth term for this sequence is,
⇒ a (n) = 67 - 7n
⇒ a (10) = 67 - 7 x 10
⇒ a (10) = 67 - 70
⇒ a (10) = - 3
Thus, The common difference of this sequence is, - 7
And, One formula for the sequence is,
⇒ a (n) = 67 - 7n
And, The tenth term for this sequence is,
⇒ a (10) = - 3
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i need help please
Answers
Answer:
9/10
Step-by-step explanation:
1/2+2/5= 5/10+4/10= 9/10
Answer:
9/10
Step-by-step explanation:
You first need to find the Least Common Denominator, which is ten. Next, multiply the numerator by what you multiplied the denominator to get 10. You should have 5/10+4/10. Combine like terms to get 9/10
TL:DR
5/10+4/10
9/10
One of the solutions to x^2– 2x – 15 = 0 is x = -3. What is the other solution?
Answers
Answer:x=5
Step-by-step explanation: x^2−2x−15=0
(x−5)=0 x−5=0 x=5
Answer:
You have to factor the equation and the way you do this is to find two numbers that multiply to get -15 and add to get -2 and those numbers are 3 and -5 so the factors are (x+3) and (x-5)
You set them equal to 0 and solve for x
x+3=0 x=-3
x-5=0 x=5
SO THERE YOU HAVE IT: x=5!
Have a nice day!!!
-dsk-
Step-by-step explanation:
How do I explain to a kid what volume mean?
Answers
Answer:
You could explain it with a box. Fill a box to the brim with objects. Tell him/her that volume is the stuff inside the box. Even if there are no objects in the box, there is still air. That is volume.
Answer:
It is a sound that can be adjusted
Step-by-step explanation:
Volume is something that is on all handheld or console like elctronics.
It can change the sound from loud to quiet.
Which triangle side lengths form a right triangle? Choose all that apply.
5,6,7
6, 8, 14
8,15, 17
10,12,15
15, 20, 25
16, 18, 20
Answers
If you need help with these types of problems just go into google and search Pythagorean theory silver and plug in 2/3 side lengths and if the outcome equals the third number, then that means that the side lengths make a right triangle
The side lengths ( 8, 15, 17 ) and ( 15, 20, 25 ) form a right-angle triangle.
What is a right triangle?
A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
According to the given problem,
We know, in a right-triangle,
Hypotenuse² = Perpendicular² + Base²
For sides, 8, 15, 17
⇒ Hypotenuse ² = 8² + 15²
⇒ Hypotenuse² = 64 + 225
⇒ Hypotenuse = √289
⇒ Hypotenuse = 17
For sides, 15, 20, 25,
⇒ Hypotenuse² = 15² + 20²
⇒ Hypotenuse² = 225 + 400
⇒ Hypotenuse = √625
⇒ Hypotenuse = 25
Hence, we cam conclude, the sides, ( 8, 15, 17 ) and ( 15, 20, 25 ) form a right-triangle.
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Which addition does the model below represent?
A. 3+(-1)
B. 3+4
C. 3+ (-4)
D. 3+1
Answers
Answer:
C. 3+ (-4)
Step-by-step explanation:
First we have three but then we go back 4 spaces which results in -1
The simplified answer of C. would be 3-4= -1
Answer:
C.
Step-by-step explanation:
send help , 20 points !!
what is 1 and 2/9 minus 3 and 1/3
Answers
Answer:
-1 and 8/9
Step-by-step explanation:
Answer:
The answer would be -19/9
Triangles A B C and T P Q are shown. Sides A C and T Q are congruent. Angles B C A and P Q T are congruent. Which statements are true about additional information for proving that the triangles are congruent? Select two options. If AngleA ≅ AngleT, then the triangles would be congruent by ASA. If AngleB ≅ AngleP, then the triangles would be congruent by AAS. If all the angles are acute, then the triangles would be congruent. If AngleC and AngleQ are right angles, then triangles would be congruent. If BC ≅ PQ, then the triangles would be congruent by ASA.
Answers
Answer:
If Angle A ≅ Angle T, then the triangles would be congruent by ASA
If Angle B ≅ Angle P, then the triangles would be congruent by AAS.
Step-by-step explanation:
It's already given that side AC and side TQ are congruent, and angle BCA and angle PQT are congruent too. So if angle A and angle T were congruent, this would be the ASA Theorem. And if angle B were to be congruent to angle P, this would be the AAS Theorem.
Since you only need to pick 2 answer choices, you can stop there.
If Angle A ≅ Angle T, then the triangles would be congruent by ASA
If Angle B ≅ Angle P, then the triangles would be congruent by AAS.
Congruent triangles:Since
Sides A C and T Q are congruent. Angles B C A and P Q T are congruent.
So here we can say that side AC and side TQ are congruent, and angle BCA and angle PQT are congruent too. So in the case when angle A and angle T were congruent, this would be the ASA Theorem. And if angle B were to be congruent to angle P, this would be the AAS Theorem.
Learn more about an angle here: https://brainly.com/question/11067716
What is the value of x?
Answers
Answer:
x=15
Step-by-step explanation:
Definition of Isosceles triangle --- two side lengths are always equal!
Answer: 15
Step-by-step explanation: By looking at the shape, you can tell it's the exact same size.
Triangle JKL are drawn on a coordinate plane. The coordinates are J: (2,4) K: (1,1) and L: (4,0). Using the scale factor of 2, what is L'?
A. (4,2)
B. (8,2)
C. (8,0)
Answers
Answer:
c
Step-by-step explanation:
The plot shows the temperatures (in ºF) for a group of children who visited a doctor’s office.
A plot shows the temperature of children at a doctor's office. 1 child had a temperature of 96 degrees; 2, 97 degrees; 5, 98 degrees; 2, 99 degrees; 1, 100 degrees.
What conclusions can be drawn from the data set? Check all that apply.
The measures of center are the same.
The interquartile range is 4.
There is little variability in the data.
The average temperature is 98.
The data is clustered around the mean.
Answers
Answer:
1.The measures of center are the same.
3.There is little variability in the data.
4.The average temperature is 98.
5.The data is clustered around the mean.
Step-by-step explanation:
Answer:1,3,4,5
Step-by-step explanation:i did the quiz
Find the volume of the figure.
Answers
Answer:
233 in^3
Step-by-step explanation:
First we will find the volume of the square at the bottom
V = s^3 where s is the side length
V = 5^3
V = 125 in^3
Then we will find the volume of the rectangular prism at the top
V = l*w*h
V = 12*3*3
V =108 in^3
The total volume is the sum of the two volumes
V = 125+108
= 233 in^3
Answer:
233 in³
Step-by-step explanation:
Cube + cuboid
(5×5×5) + (3×3×12)
233 in³
What single transformation was applied to quadrilateral A to get to quadrilateral B
a.)translation
b.)rotation
c.) reflection
d.) Dilation
Answers
Answer:
B. a rotation
Step-by-step explanation:
The shape appears to have the same size, but it has been moved in a way that is not reflection. Through the process of elimination, the answer is rotation.
Answer:
D.) dilation
Step-by-step explanation:
The heights of a group of boys and girls at a local middle school are shown on the dot plots below.
2 dot plots with number lines going from 40 to 60. A plot is titled Boy's Heights. There are 0 dots above 40, 1 above 41, 3 above 44, 3 above 46, 2 above 48, 3 above 50, 4 above 52, 4 above 54, and 0 above 56, 58, and 60. A plot is titled Girl's Heights. There are 0 dots above 40 and 41, 2 dots above 44, 3 above 46, 1 above 48, 3 above 50, 4 above 52, 3 above 54, 4 above 56, and 0 above 58 and 60.
When comparing the shapes of the two sets of data, what conclusion can someone draw?
The shortest boy is taller than the shortest girl.
The range for the girls is greater than the range for the boys.
There is an outlier in the data for the boys, but not for the girls.
The girls are generally taller than the boys.
Mark this and return
Answers
Finding the area in this composite figure
Answers
To solve for the area of a composite figure, break it down into simpler shapes and calculate their areas, ensuring all measurements are in the same units and converting if necessary, then add the areas together and express the answer to the correct number of significant figures.
Explanation:The question is about finding the area of a composite figure, which is often a problem in high school mathematics. When calculating the area of a composite figure, we can break it down into simpler shapes such as rectangles and triangles. The area of a rectangle is found by multiplying its height by its width, while the area of a triangle is half the product of its base and height. We can then add these areas together to get the total area of the composite figure. It's important to ensure that all measurements are in the same units before performing the calculation. If necessary, we use conversion factors to change to the appropriate units and report the final answer to the correct number of significant figures.
For example, if we are given a rectangle with dimensions provided in meters and centimeters, we convert all measurements to the same unit, usually the meter, before calculating the area. To maintain accuracy, we use the fact that the number 1 and 100 in the conversion factors (such as 1m = 100 cm) are exact numbers and do not impact the significant figures of our final answer.
Solve the equation for x - 17 = 29
Answers
Answer:
X= 46
Step by Step explanation:
Move all terms not containing x to the right side of the equation.
y = 3x – 5, what would the output be for an input of 4?
Answers
Answer: y = 7
Step-by-step explanation:
y = 3(4) - 5
y = 12 - 5
y = 7
Answer:
y=12
Step-by-step explanation:
Substitute the given value into the function and evaluate.
(Plug in your input to get your output, in this case, x=4)
y=3(4)-5
y=12-5
y=12
The answer is y=12.
Two angles of a quadrilateral measure 100° and 90°. The other two angles are in a ratio of 3:14. What are the measures of those two angles?
quadrilaterals.
Answers
Answer: 3=30 14=140
Step-by-step explanation:
100+90=190 360-190=170
3+14=17 170 divided by 17=10
3x10=30 14x10=140
Answer: They other measures of the quadrilateral are 30° and 140°.
Step-by-step explanation:
360 - 190 = 170 then 3/17 x 170 gives 30 then 14/17 x 170 gives 140.
Find the area of a circle with a diameter of 16.
*First time asking a question. I would appreciate any help.*
Answers
Work Problem: Mrs. Perry needs Mr. Chesah's help painting her new office. Perry could paint her office in 4 hours. She heard that Chesah has the new PAINTMASTER3000...and could paint Perry's fancy new office in half the time. If they work together, how long would it take them to paint Perry's new office?
A 0.75 hrs
B 1.333 hrs
C 6 hrs
D 3 hrs
Answers
Answer:
6 hrs
Step-by-step explanation: If Im reading corectly your saying that Mrs. Perry is painting for 4 hours plus Mr. Chesah painting for 2 hours (half of 4 hours) Add them up and get 6 hrs. I hope this is what you meant.
To find out how long it would take Mrs. Perry and Mr. Chesah to paint the office together, we can use the idea of work completion rate. When two people work together, their work completion rates are added. Therefore, if they work together, it would take them 1 hour and 20 minutes to paint the office.
Explanation:To find out how long it would take Mrs. Perry and Mr. Chesah to paint the office together, we can use the idea of work completion rate. Let's say that Mrs. Perry can paint 1 office in 4 hours, which means her work completion rate is 1/4 offices per hour. Since Mr. Chesah can paint the same office in half the time, his work completion rate is 1/2 offices per hour.
When two people work together, their work completion rates are added. So, the combined work completion rate of Mrs. Perry and Mr. Chesah is 1/4 + 1/2 = 3/4 offices per hour.
To determine how long it would take them together to paint Perry's office, we can take the reciprocal of the combined work completion rate. This gives us 4/3 hours, which is equivalent to 1 hour and 20 minutes. Therefore, if they work together, it would take them 1 hour and 20 minutes to paint the office.
You are given a random 4-digit PIN for your bank card. How many 4 digit PINs are
possible if the numbers can be repeated?
Answers
Answer:
There are 10,000 possible combinations that the digits 0-9 can be arranged to form a 4-digit pin code
Step-by-step explanation:
Answer:
10k
Step-by-step explanation:
Solve for x. −18<9x
Answers
Answer:
ok its 6969 np btw <3;)
Solve the equation. 4k2= 5k
Answers
Answer:
0,5/4
Step-by-step explanation:
4k·2= 5k
4·2k= 5k
8k=5k
Please mark me brainliest if the helped (I need it)
Which of the following are polynomial functions?
Check all that apply.
Answers
Answer:
Step-by-step explanation:
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
A. X-2
B. X-1
C. X+1
D. X+2
Answers
Answer:
Step-by-step explanation:
Answer C (x + 1) is correct; if we let x + 1 equal 0, we get the root (x-intercept) -1, which appears on this graph
X + 1 must be a factor of the polynomial graphed
How to find the factor
The factor is solved using the points where the graph intersects the x-axis.
This points are called the roots
Examining the graph the roots are x = -1 and x = 4
Hence x + 1 must be a factor