Answers
Answer:
r = 5 units
Step-by-step explanation:
Given:
Angle subtended at the centre (∅) in radians = 2π/3
Arc length (S) = 10π/3
radius (r) = ?
Required:
Radius (r)
Solution:
Formula for arc length given the central angle in radians is:
S = r∅
Make e the subject of the formula by dividing both sides by ∅
S/∅ = r∅/∅
r = S/∅
Plug in the values
r = (10π/3) / (2π/3)
Change the operation sign to multiplication and turn the fraction by your right upside down
r = 10π/3 × 3/2π
r = (10π × 3)/(3 × 2π)
Cross out terms that can divided each other
r = 5
Related Questions
CAN ANYONE SOLVE THIS PROBLEM??
Answers
Answer:
Step-by-step explanation:
The angle must be less than 180º
m∠FIE < 180
5x - 15 < 180
add 15 to both sides
5x < 195
Divide both sides by 5
x < 39
Therefor the first three choices are physically impossible
x = 21
The net below has dimensions l = 14 feet, w = 7 feet, and h = 13 feet. How will the surface area of the figure change if the width decreases by 2 feet?
Answers
simplify 3x times 4y
Answers
Answer:
12[tex]x^{3}[/tex]y[tex]x^{4}[/tex]
Step-by-step explanation:
When you multiply numbers with variable terms, each term has to be multiplied by like terms.
3[tex]x^{2}[/tex]y× 4×y[tex]x^{3}[/tex]
Separate the terms.
3 · [tex]x^{2}[/tex] · y × 4 · x · [tex]y^{3}[/tex]
Group the like terms and then multiply them.
( 3 x 4 ) ([tex]x^{2}[/tex] x [tex]x[/tex]) ( [tex]y[/tex] x [tex]y^{3}[/tex])
12 · [tex]x^{3}[/tex] · [tex]y^{4}[/tex]
12[tex]x^{3}[/tex][tex]yx^{4}[/tex]
Hoped this helped :)
PLS HELP ASAP.!
THANK YOU, WILL MARK BRAINLIEST
Answers
Answer:
Explanation:
The volume of the triangular prism:
The base area of the prism = 1/2 x 4 x 6 = 12 ft2
Height = 6 ft
The volume of the triangular prism = 12 x 6 = 72 ft3
The volume of the rectangular prism:
The base area of the prism = 4 x 6 = 24 ft2
Height = 12 ft
The volume of the triangular prism = 12 x 24 = 288 ft3
Volume of the composite figure = (288 + 72)ft3 = 360 ft3
Step-by-step explanation:
The Centers for Disease Control conducts an occasional study of youth behaviors that affect health. They randomly sample several thousand children between the ages of 10 and 18 in the United States and ask (with parents' permission) a series of questions. In a recent sample of 15000 randomly selected youth, 11% of them said that they had vaped on 1 or 2 days in the last 30 days. Which of the following best describes the number 111%?
a. 11% is a statistic and is represented symbolically as Ï = 0.11
b. 11% is a statistic and is represented symbolically as rho = 0.11
c. 11% is a parameter and is represented symbolically as rho=0.11
d. 11% is a parameter and is represented symbolically as Ï = 0.11
Answers
Answer:
b. 11% is a statistic and is represented symbolically as p = 0.11
Step-by-step explanation:
A statistic differ from a parameter in that, statistic is a numerical property or value derived from the sample while the parameter is a numerical property of the population. The percentage given, 11% who said that they had vaped on 1 or 2 days in the last 30 days is derived from the 15000 youths which is a sample and not a population, hence, 11% is a statistic, since it is expressed as a percentage, it is a proportion ;
Hence, 11% is a statistic and can be represented symbolically as p = 0.11
Find the product of the sum of 1/2 and -3/4 and difference of -5/6 and 13/8
Answers
Product of the sum of 1/2 and -3/4 and difference of -5/6 and 13/8
= (1/2-3/4)×(-5/6+13/8)
= -1/4×19/24
= -19/96
(1/2 + -3/4) x |-5/6 - 13/8|
= -1/4 x 59/24
= -59/96
“Difference” is defined as the positive distance between the values on a number line, hence the absolute value brackets.
Eg the difference between 2 and 9 is 7
The difference between -2 and -8 is 6
The difference between-5 and 4 is 9
Solve the inequality: w - (14) < 8
Answers
[tex]w - (14) < 8 \\ = w < 8 + 14 \\ \\ w = < 22[/tex]
Step by Step Explanation:
Move the constant to the right - hand side and change its signThen add the numbers ☆彡Hanna#CarryOnLearning
What is 9+10-8(9)x2 using bedmas
Answers
-125
Step-by-step explanation:BEDMAS, like its counterpart BODMAS, is used as an acronym which gives the order of precedence of certain mathematical operations. It stands for:
B - Brackets
E - Exponentials
D - Division
M - Multiplication
A - Addition
S - Subtraction
This specifies the order in which arithmetic operations take place. That is brackets expressions should be solved first, followed by exponentials, then division and so on.
Using BEDMAS, let's solve 9+10-8(9)x2
Follow these steps;
i. Solve the bracket first.
9+10-72x2
ii. Next solve the multiplication
9+10-144
iii. Then solve the addition
19-144
iv. Now, the subtraction
-125
Therefore;
9+10-8(9)x2 = -125 using bedmas
How to solve this math question
Answers
Answer:
x = 16
y = 5
Step-by-step explanation:
The three sides of an equilateral triangle are equal. Therefore:
3x + 1 = 49
Solve for x.
3x + 1 - 1 = 49 - 1
3x = 48
3x/3 = 48/3
x = 16
Also
18y - 41 = 49
Solve for y.
18y - 41 + 41 = 49 + 41
18y = 90
18y/18 = 90/18
y = 5
Let X, Y, and Z be jointly continuous random variables. Assume that all conditional PDFS and expectations are well defined. E.g., when conditioning on X r, assume that x is such that fx (x)> 0. For the following formula, state whether it is true for all choices of the function g or false?
E[g(Y) | Y= x] = ∫g(y) fY| X(y|x) dy
Answers
Answer:
True
Step-by-step explanation:
Given that X,Y and Z are jointly continuous random variables
For : E [g(Y) | Y= x] = ∫g(y) fY| X ( y|x ) dy
For all choices of g the function is true given that g(y) = a random variable
A random variable is a variable with an unknown value it can be said to assign values to an experimental outcome.
pleaseeeee solve thissss pleaseeee
Answers
Answer:
a.) 15 feet
b.) 3.25 seconds
c.) 17.1125 feet
d.) 12.5 seconds
Step-by-step explanation:
a
This is just asking for the y intercept
to get this just do h(0)= 15
b
This is asking for the x value of the vertex
solve that through -b/2a
-1.3/(2*-.2)= 3.25
c
This is asking for the y value of the vertex
to solve this plug in the x value from b
-.2*3.25²+1.3*3.25+15= 17.1125
d
This is asking for an x intercept
using the quadratic formula...
[tex]\frac{-b(+-)\sqrt{b^2-4*a*c}}{2a}=\frac{-1.3(+-)\sqrt{1.3^2-4*-.2*15}}{2*-.2}= -6, 12.5[/tex]
*note the (+-) before the radical is ± *
logic will tell us that a negative x intercept doesn't make any sense so we only take the positive value, 12.5
A mother has 6 sons
Each has a sister
How many people are in the family?
A:13.
B)8.
D)7.
C:14.
Answers
A. 13
Explanation= 6 (sons) +6 (daughters) +1 (mother) = 13.
(notes: as a father is not within the problem, there is no reason to be in the answer)
Answer:
B)8
A mother has 6 sons. If there is only one sister, than each son has a sister. Don't forget to add the mother. 6 + 1 + 1
Step-by-step explanation:
The rectangular ground floor of a building has a perimeter of 780 ft. The length is 200 ft more than the width. Find the length and the width.
The length is ___ and the width is ___
Answers
Answer:
L = 295ft
W = 95ft
Step-by-step explanation:
Perimeter of a rectangle = 2(L+W)
If the length is 200 ft more than the width, then:
L = 200+W
Substitute
P = 2(200+W+W)
780 = 2(200+2W)
780 = 400+4W
4W = 780-400
4w = 380
W = 380/4
W = 95ft
Since L = 200+w
L = 200+95
L = 295ft
1. What do you call the likelihood of the occurrence of an event? A. experiment B. outcome C. probability D. -SUCcess
Answers
Answer:
Probability call the likelihood of the occurrence of an event.
Step-by-step explanation:
No C
PLEASE HELP
Find the probability of no successes in six trials of a binomial experiment in which the probability of success is 30%. Round to the nearest tenth of a percent [ ? ] %
Answers
Answer:
I hope this helps you quickly
Step-by-step explanation:
dwvrbrhrbrnk Frankenstein's 4h5wmye
pls help!!!
show your work!!!!
simplify the expression. ^4sqrt(64y^12z^16)
Answers
Answer: on the outside its 2y^3z^4 with the inside being 2
Step-by-step explanation:
The expression equals 2y^3z^4sqrt2
Answer:
2 square root 2 y^3 z^4 ( SEE IMAGE BELOW)
Step-by-step explanation:
Simplify the radical expression
2 square root 2 y^3 z^4
reduce the index of the radicel and expondent with 2
2 square root 2 y^3 z^4
Số tiếp theo (next number?): 25 50 99 196 388
Answers
Answer:
The correct answer is - 768.
Step-by-step explanation:
The given question is based on a specific pattern present in between the numbers in the given series -
Series = 25 50 99 196 388
to find - next number in series
let us find the relation between the initial two number:
25 - 50, here number 50 is two times of 25 or (x*2-0)
relation between 2nd and 3rd number:
50 - 99, here 99 is two times of 50 minus 1 or (x*2-1)
relation between 3rd and 4th number:
99 - 196, here 196 is two times of 99 minus 2 or (x*2-2)
relation between 4th and 5th number:
196 - 388, here 388 is the two times of 196 minus 4 or (x*2-4)
So on this pattern, the next number would be = x*2-8
388*2-8
= 768
A cube has side length x.
another side is doubled. The volume
One side of the cube is increased by 4 inches, and
of the new rectangular prism is 450 cubic inches. The equation 2x3 + 8x2 450
can be used to find x. What was the
side length of the original cube? Use a graphing calculator and a system of equations to find the answer.
• 4 inches
• 5 inches
• 9 inches
• 10 inches
Answers
Step-by-step explanation:
The length of the original cube is 5 inches.
Plzzzzzzzzzzzzzzzzz help meeeeeeeeeeeeeeeeeee i do anything just help
Gamers: Two dollars for every game downloaded.
Game World: $15 per month and $0.50 per game downloaded.
a) How much money would it cost if you downloaded 6 games from Gamers? Show your work, using the equation c=2d, where c is the cost and d is the number of downloads.
b) Write an equation for the cost per month at Game World, using c for cost and d for downloads.
c) Which equation is represented in the graph below, Gamers or Game World? Justify your answer using mathematical reasoning.
d) If you plan on downloading 8 games per month, which would be the best plan to buy? Justify your answer using mathematical reasoning.
e) Justin has a membership to Gamers and he says his plan is better than Game World’s. Kenny, who has a membership to Game World, disagrees. Who is correct? Justify your answer using mathematical reasoning.
f) How many games would Justin and Kenny have to download to make the same monthly payment? How do you know?
Answers
Answer:
8
Step-by-step explanation:
First,i would rewrite 3/4 as an equivalent fraction with a denominator of ____
The equivalent fraction is ____ Then, I would compare the equivalent fraction to 7/12\
PLEASE TELL ME THE ANSWERS IN THE BLANKS!!!
Answers
Answer:
denominator of 12 (first blank) making the numerator 9. equivalent fraction 9/12 (second blank)
Step-by-step explanation:
lowest common denominator is 12. make sure what you do to the denominator (4times3)= 12, you do to the numerator (3times3)=9
Answer:
The first blank is the denominator of 12 so the numerator is 9. Which makes the answer 9/12
Step-by-step explanation:
Hope this helps! :)>
3. What is the distance between -49 and 167?
a) -216 units
b) -118 units
c) 118 units
d) 216 units
Answers
Answer:
c) IS THE ANSWER
Step-by-step explanation:
Step by step explanation: ITS C
we had a pot of tea. i drank 3/8 of the tea. after my father drank 2/3 of the remainder, 100 ml of tea is left inside the pot. what is the proportion of the total amount of tea? write your answer as a fraction.
Answers
Answer:29.16 ml was left
Step-by-step explanation:
2/3-3/8=
16/23-9/24=
7/24x100/1=
then divide
Write (y^4)^2 without exponents
Answers
Answer:
y*y*y*y*y*y*y*y
Step-by-step explanation:
(y^4)^2 = y*y*y*y*y*y*y*y
Here the base (y) shows up as a multiplicand 8 times. (y*y*y*y)(y*y*y*y) is equivalent.
Answer:
[tex](y^{4} )^{2}[/tex]
[tex]y^{8}[/tex]
seems like a strange question to make it
harder to read... but with no exponents it would look like this
y*y*y*y*y*y*y*y
Step-by-step explanation:
Anna's electricity bill costs $21.59 per month plus $4.66 per kilowatt hour. How many kilowatt hours can she use and keep
her bill to no more than $51?
Round your answer to a whole number
Answers
Answer:
6 kwh
Step-by-step explanation:
(51 - 21.9)/4.66 = 6.24 => 6 kwh
(X+3)(3x^2+8x+9) multiply the polynomials
Answers
Answer:
3x^3+8x^2+9X+9X^2+24X+27=3X^3+17X^2++33X+27
Step-by-step explanation:
Answer:3x^3+8x^2+9X+9X^2+24X+27=3X^3+17X^2++33X+27
Step-by-step explanation:
HELP PLSSS I CANT FAIL!!Which parent function is represented by the table?
ху
-22
-11
00
11
22
A. f(x) = |X|
B. f(x) = 2x
c. f(x) = x
D. f(x) = x2
Answers
Answer:
C. f(x)=|x|
Step-by-step explanation
Two straight lines denotes the mod which is a type of function which means it will always gives us a positive value (output) even on Nagative input, shown in the table, -2 2, -1 1, 0 0
For example,
|2|=2, |-2|=2
|1|=1
|-1|=1
4 minutes is what fraction in a day
Answers
Answer:
4/1440 or 1/360
Step-by-step explanation:
A day has 24 hours and 60 minutes in each hour.
24 × 60 = 1440
I hope this helps.
Answer:
4/1440 or 1/360
Step-by-step explanation:
one day have 24hr .when we convert it to minutes,it becomes 1440minutes. so fraction of 4 min in a day us 4/1440 or in equavalent fraction 1/360.
Is 11/15 repeating? If not, how many places does it take to terminate?
Answers
Answer:
repeating due to the denominator
Step-by-step explanation:
11/15 = (11/5)×(1/3)
11/5 terminates after 1 place.
but 1/3 is repeating due to the denominator, and that propagates into the result of the multiplication.
anyone one know the answer?
Answers
Cierto individuo, al fallecer, repartió sus ahorros del siguiente modo; la mitad a
su esposa; el tercio a su único hijo; la décima parte a un sobrino, y dos millones
de nuevos soles a una beneficencia ¿cuánto poseía?
Answers
Answer:
El individuo poseía treinta millones.
Step-by-step explanation:
Podemos expresar la repartición del individuo como sigue:
[tex] x = \frac{x}{2} + \frac{x}{3} + \frac{x}{10} + 2000000 [/tex]
Dado que la suma de la repartición de la mitad que le da a su esposa (x/2), del tercio que le da a su único hijo (x/3), de la décima parte que le da a un sobrino (x/10) y de los dos millones que le da a una beneficiencia debe ser igual al monto incial que tenía (x).
Resolviendo la ecuación de arriba para "x" tenemos:
[tex] x - \frac{x}{2} - \frac{x}{3} - \frac{x}{10} = 2000000 [/tex]
[tex] x = 30000000 [/tex]
Por lo tanto, el individuo poseía treinta millones.
Espero que te sea de utilidad!