The length of an arc is the distance between the endpoints of the arc.
The central angle is: [tex]\mathbf{4.75\ rad}[/tex] or [tex]\mathbf{272.16^o}[/tex]
The given parameters are:
[tex]\mathbf{l = 19yd}[/tex] --- length of the arc
[tex]\mathbf{r = 4}[/tex] -- radius of the circle
The length of an arc is calculated as:
[tex]\mathbf{l =r\theta}[/tex]
Divide both sides by r
[tex]\mathbf{\theta = \frac lr}[/tex]
Substitute known values
[tex]\mathbf{\theta = \frac{19}4}[/tex]
[tex]\mathbf{\theta = 4.75\ radians}[/tex]
Convert to degrees as follows:
[tex]\mathbf{\theta = 4.75 \times \frac{180}{\pi}}[/tex]
[tex]\mathbf{\theta = 4.75 \times \frac{180}{3.142}}[/tex]
[tex]\mathbf{\theta = 272.16^o}[/tex]
Hence, the central angle is: [tex]\mathbf{4.75\ rad}[/tex] or [tex]\mathbf{272.16^o}[/tex]
Read more about length of arcs at:
https://brainly.com/question/15832640
Please help! I think I know the answer but I don't trust myself xD (Theres a screenshot attached)
Answer:
the second one
Step-by-step explanation:
ples show work- kskskskskskksksksk
Answer:
61
Step-by-step explanation:
8-(36/9)+99-(6x7)
8-4+99-42
4+57
Answer:
11
Step-by-step explanation:
For this, we need to follow PEMDAS (Parenthesis, exponent, multiply/divide, add/subtract). First, we do the parenthesis, this gets us 8 - 4 + 49 - 42. Since this is all addition/subtraction, we do it from left to right. 8-4 is 4. Now our equation is 4 + 49 - 42. 4 + 49 is 53. Now our equation is 53 - 42. That is 11. That means our answer is 11.
PLEASE HELP ASAPPPP , Thank you sm .
Answer: i think 2 feet, not really sure tho ':)
Step-by-step explanation:
Answer:8.66
Step-by-step explanation:
I need help please ten points for question number three !!!!!!!!.......!!!!!!.....
Answer:
where is the question though
Step-by-step explanation:
Answer:
what
Step-by-step explanation:
Write an equation of the line with a slope of
-
and y-intercept of -6.
y
Answer:
Y = mX+C
Y =mX-6
Y =m(0)-6
Y = -6
the line passes through origin so
X=0
(0,6)
A coordinate plane with Number of Text Messages on the x-axis and Number of Minutes Used on the y-axis, with points plotted at, (10, 20), (20, 40), (30, 60), and (40, 80).
A prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y, the number of minutes used for x, the number of text messages sent and received. Is there a direct variation? Which equation represents the relationship?
Yes, y = 2x.
Yes, y = 20x.
No, y = x + 10.
No, y = x + 20.
Answer:
y=2x or "A" is correct
Step-by-step explanation:
A cereal company is determining the nutritional information of a new recipe. They took a random sample of 20 servings of the cereal and measured
the number of calories in each serving. The number of calories in each serving are listed.
143, 145, 147, 150, 150, 152, 157, 159, 160, 160, 161, 163, 164, 165, 165, 168, 173, 175, 177, 180
The box plot shown is a summary of the data. Move numbers to the spaces to label the values and complete the box plot.
143
180
not drawn to sale
145
150
151
160.5
160.7
165
166.5
177
Answer:
Minimum is 143, second whisker is 150, median is 160.5, 3rd quartile is 166.5, maximum is 180
Step-by-step explanation:
The first box is fillled with first quartile 151, the second box is filled with second quartile 160.5, and the third box is filled with the third quartile 166.5
How does a boxplot shows the data points?A box plot has 5 data description.
The leftmost whisker shows the minimum value in the data.The rightmost whisker shows the maximum value in the data.The leftmost line in the box shows the first quartile.The middle line shows the median, also called second quartile.The last line of the box shows the third quartile.What are quartiles?When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.
Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
Similarly, second quartile (also called median) is approximately in mid of the data.
Third quartile (also called upper quartile) has approx 75% in its left partition, and on its right lies approx 25% of the data.
Left to right is said in assumption that data was arranged increasingly from left to right
For this case, the data is:
143, 145, 147, 150, 150, 152, 157, 159, 160, 160, 161, 163, 164, 165, 165, 168, 173, 175, 177, 180
It is already sorted. There are 20 values.
We have to find the limits of box and the mid line, which are the three quartiles.
Dividing 20 in 4 equal parts give size of 5
Thus, 5-5-5-5 groups will be made by the three quartiles of this data.
The fifth value is 150, and sixth is 152. Any number between 150 and 152 can be taken as the first quartile, as before it will lie 25% of values and 75% of the data after that value. By tradition, we take average of these two values, so its 151 as the first quartile of the considered data set.
In the similar way, the second quartile or median is mean of 10th and 11th value which evaluates to (160+161)/2 = 160.5
And, the third quartile is the mean of 15th and 16th value of this data set, which evaluates to (165+168)/2 = 166.5
Thus, the first box is fillled with first quartile 151, the second box is filled with second quartile 160.5, and the third box is filled with the third quartile 166.5
Learn more about quartiles here:
brainly.com/question/9260741
What is the greatest common factor of 3 and 6?
3
6
18
36
Answer:
36
Step-by-step explanation:
the greatest common factor is 36 because
3 times 12 is 36
6 times 6 is 36
pls mark be brainliest!!
Answer:
[tex] \huge{ \boxed{ \bold{ \sf{3}}}}[/tex]
[tex] \sf{Step - by - step \: explanation}[/tex] :
[tex] \sf{Factors \: of \: 3 = \: 1 \: \times 3}[/tex]
[tex] \sf{Factors \: of \: 6 = 1 \times 2 \times 3 }[/tex]
G.C.F = Common prime factors = 1 × 3 = 3
Hence , the Greatest Common Factor ( GCF ) of 3 and 6 is 3 .
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✑ Explore more !!
GCF is also called Highest Common Factor ( HCF ) and the Greatest Common divisor ( GCD ) . The GCF of any numbers can be obtained by using two methods. They are :
1. Prime Factorization method
The steps for finding GCF by this method are :
First of all , find the prime factor of each numbers.Take out the common prime factors of given numbers.Multiply those all common prime factors and the number which is obtained is GCF. If there is no any common prime factor existing , then 1 is considered as GCF of those numbers.2. Division method
The steps for finding GCF by this method are :
Divide the larger number by smaller one.In case of remaining remainder , divide the first divisor by that remainder.Again if remainder leaves , divide the second divisor by the remainder.Repeat the process until the remainder becomes the zero. So , that the last divisor is the GCF.Hope I helped ! ♡
Have a wonderful day / night ツ
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Quick Pleaseee helpp
When is substitution method easier to use than graphing method!!!!
Answer:
When you do not have a graph paper
or
one of the equations has an isolated variable
or
when the equations are not in slope intercept form
exact value of tan 5pi/12
Answer:
[tex]\displaystyle \tan\frac{5\pi}{12}=2+\sqrt{3}[/tex]
Step-by-step explanation:
Tangent Half Angle
Given an angle θ, then:
[tex]\displaystyle \tan {\frac {\theta }{2}}=\frac {\sin \theta }{1+\cos \theta}[/tex]
We are required to find:
[tex]\tan\frac{5\pi}{12}[/tex]
But it cannot be found in tables of main angles. We can use the angle
[tex]\theta = \frac{5\pi}{6}[/tex]
And use the formula above to find the required operation. Hence:
[tex]\displaystyle \tan\frac{5\pi}{12}=\tan\frac{\frac{5\pi}{6}}{2}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\sin \frac{5\pi}{6} }{1+\cos \frac{5\pi}{6}}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\frac{1}{2} }{1-\frac{\sqrt{3}}{2}}[/tex]
Operating:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\frac{1}{2} }{\frac{2-\sqrt{3}}{2}}[/tex]
Simplifying:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{1}{2-\sqrt{3}}[/tex]
Rationalizing:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{1}{2-\sqrt{3}}\cdot \frac{2+\sqrt{3}}{2+\sqrt{3}}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{2+\sqrt{3}}{2^2-\sqrt{3}^2}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{2+\sqrt{3}}{4-3}[/tex]
Finally:
[tex]\boxed{\displaystyle \tan\frac{5\pi}{12}=2+\sqrt{3}}[/tex]
select the correct solution for 6x = 30
(A) x = 24
(B) x = 1/5
(C) x = 5
(D) x = 36
Answer:
answer is (C) x = 5
I hope it helps you
:-))
Tyson is 6 feet 2 inches tall. There are 2.54 centimeters in 1 inch. What is Tyson's height in centimeters?
Answer:
187.96 cm
Step-by-step explanation:
Given hat
Tyson is 6 feet and 2 inches tall
Also
There is 2.54 cm in 1 inch
Now the tyson height in the centimeter is
= 6.16666 × 30.48
= 187.96
Hence, the Tyson height in the centimeter is 187.96
Answer:
187.96
Step-by-step explanation:
(answer d)
Estimate 44 + 33 =
decimals
Answer:
My estimate is 70, but the answer towards 33 plus 44 is 77
Please correct me If i am wrong
Step-by-step explanation:
Solve for x and find AB
Solve for y and find BX
9514 1404 393
Answer:
x = 7; AB = 30y = 5; BX = 25Step-by-step explanation:
Opposite sides of a parallelogram are the same length.
AB = CD
5x -5 = 3x +9
2x = 14
x = 7
AB = 5(7) -5)
AB = 30
__
The diagonals of a parallelogram are bisected by each other.
XB = XD
7y -10 = 5y
2y = 10
y = 5
BX = 7(5) -10
BX = 25
LOOK AT PIC ATTACHED AND HELP NOW
Answer:
a. Line BC and Line GH
b. Line AC and line AJ
c. No, because if they were perpendicular, they would intersect at a 90 degree angle.
Step-by-step explanation:
a. Whenever two lines share identical little triangle marks - such as line BC and line GH in this case - it indicates that those lines are parallel.
b. The little red square at the intersection of line AC and line AJ indicates a 90 degree angle. Whenever two lines intersect at a 90 degree angle, it means they are perpendicular. So, Line AC and line AJ would be perpendicular.
c. The upside down T symbol means "perpendicular," so the question is asking if line BC and line AJ are perpendicular. However, they cannot be since there is no indication on the diagram that they do - no symbols of 90 degree angles - that we can use to prove that they are perpendicular.
What question can you never honestly answer yes to?
Answer: DO YOU LIKE SOMEONE? AND THAT IS MY QUESTION I CAN NEVER ANSWER :) :P
Step-by-step explanation:
all the multiples of 5 are multiples of 10
Answer:
False
Step-by-step explanation:
This is the answer because:
1) All the multiples of 5 are not multiples of 10 because multiples of 10 end in zeros and not all the multiples of 5 end in a zero.
Therefore, the answer is false.
Hope this helps! :D
Answer: false
Step-by-step explanation: say for instance 25 (5•5) is not a multiple of 10
?? anyone know thank you
Answer:
17/24 of the movie
Step-by-step explanation:
the diameter of a sold spherical ball is 35cm, Find its the surface area and the volume
Answer:52
Step-by-step explanation:
PLZ HELP ASAP!! Thanks!
Find the value of x.
Answer:
81 degrees
Step-by-step explanation:
Step-by-step explanation:
Here,
X+128+100+51=360
X+279=360
X=360-279
:.x=81
What is the equation of a line with slope 4 and passes through point (4,2)?
Answer:
y = 4x - 14
Step-by-step explanation:
Use point-slope form and substitute the values.
y - 2 = 4(x - 4)
y - 2 = 4x - 16
y = 4x - 14
PLEASE HELP ME
Factor the quadratic equation x2 + 2x – 15 into the following format: (x + a) (x -b)
Answer:
(x+5) (x-3)
Step-by-step explanation:
5 times -3= -15
5 + -3 = 2
HELP HELP HELP
{TRUE OR FALSE}
a rational fraction is not defined for the values of x that make the denominator zero
Answer:
ture
Step-by-step explanation:
anything that divide by 0 is not defined.
Expand and simplify 5(2x-1)-2(3x+2)
Answer:
4x - 9
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
5(2x - 1) - 2(3x + 2)
Step 2: Solve for x
Distribute: 10x - 5 - 6x - 4Combine like terms (x): 4x - 5 - 4Combine like terms (Z): 4x - 9pls help with my math
Answer:
∠RTS = 57°
x=9
Explanation:
By just factoring out integers starting from 10 and going down. You can factor each one out. Add all together. And see whether all angles equal 180. And if they do. Then that's what x equals. Not the smartest of explanations but it works lol.
I NEED HELP WIT MATH!!!!!!!!!!
Answer:
x-intercept= -6 & y-intercept = 8
Step-by-step explanation:
To find the intercepts you just have to put the opposite value as 0 in the equation.
X-intercept:
-4x + 3(0) = 24
Y-intercept:
-4(0) + 3y = 24
Everything times 0 is 0, so it cancels out.
Then it is just simple dividing.
Future reminder:
Just remember this (x,y)
-X-intercept point (?,0)
-Y-intercept point (0,?)
? = any number
Evaluate the expression, if x = 6, y = 8, and z = 4. 6x - y N
7
Step-by-step explanation:
first plug in all your numbers to get
6×6-8
4
then do the multiplication to get
36-8
4
next do you subtraction to get
28
4
last you divide to get
7
solve for n -4.2n-1.7=2.08
Answer:
n= -0.9
Step-by-step explanation:
-4.2n-1.7=2.08 ( move the constant to the right)
-4.2n = 2.08 + 1.7( calculate)
n = -0.9
Amy want to buy a desk. The original price is 60$. It is on
sale for 10%. How much will amy save?
Answer:
20.40
Step-by-step explanation:
Answer:
10 dollars. I think.
Step-by-step explanation: