Find the length of an arc of a circle with radius 18 cm if the arc subtends a central angle of 30°.
Answer: 9.42 cm.
Step-by-step explanation:
Length of arc is given by :-
[tex]l= \dfrac{x}{360}\times2\pi r[/tex] , where r= radius and x= central angle subtended by arc.
As per given , we have
[tex]x=30^{\circ}\\\\ r=18\ cm[/tex]
Then, the length of arc will be :
[tex]l=\dfrac{30}{360}\times2(3.14)(18)\\\\=\dfrac{1}{12}\times113.04\\\\=9.42\ cm[/tex]
Hence, the length of arc is 9.42 cm.
The length of an arc of a circle with radius 18cm is; L = 9.426cm
Length of an arcThe length of an arc can be evaluated using the formula;
L = (∆/360) × 2πrHence, the length of the given arc is;
L = (30/360) × 2 × 3.142 × 18cmL = 9.426cmRead more on length of an arc;
https://brainly.com/question/2005046
PLEASE HELP ASAP!!!!!!!!!!!!
Answer: D
Step-by-step explanation: becasue i did it
3^3-5(6) simplify this equation
Answer:
-3
Step-by-step explanation:
27-30
Answer:
-3
Step-by-step explanation:
3³-5(6)
3*3*3-30
27-30
-3
Which of the following units measures the volume of a solid? Can choice more than one answer. A) mL B) m³ C) cm³ D) L
Answer: B and C
explanation: The volume of solids are expressed in cubic measurements such as cubic centimeters (cm^3) or cubic meters (m^3).
The sum of a number and 12
Answer:
the sum of 6+6 is 12
Step-by-step explanation:
so the sum of the number 6+6 is 12 plz like and rate
15. After 20 minutes at work, Ellen was able to finish 3 tasks. If she works an 8 hour day, how
many tasks should she expect to finish?
Answer:
72
Step-by-step explanation:
An hour is 60 minutes.
Multiply the amount of tasks to the amount of times 20 goes into 60 (60/20).
3×3= 9
Once you have the amount of tasks finished in an hour (9 tasks), you will multiply 8 hours by 9 tasks.
8×9= 72
the circumference of a circle is22 cm find the radiusof the circle
Answer:
3.5cm
Step-by-step explanation:
[tex]C = 22cm\\r = ?\\\\C = 2\pi r\\\\r = \frac{C}{2\pi} \\\\r = \frac{22}{2(3.14)}\\ \\r = \frac{22}{6.28} \\\\r = 3.5[/tex]
Determine the value of the variables a, b, and when simplifying and evaluating the expression. 3/^8 3/^4 =a^b= c
a=
b=
c=
Answer:
A=3
B=4
C=81
Step-by-step explanation:
Just did it
Answer:
a =
✔ 3
b =
✔ 4
c =
✔ 81
The head of operations for a movie studio wants to determine which of two new scripts they should select for their next major production. (Due to budgeting constraints, only one new picture can be undertaken at this time.) She feels that script 1 has a 70 percent chance of earning about $10,000,000 over the long run, but a 30 percent chance of losing $2,000,000. If this movie is successful, then a sequel will be produced, with an 80 percent chance of earning $5,000,000, but a 20 percent chance of losing $1,000,000. On the other hand, she feels that script 2 has a 60 percent chance of earning $12,000,000, but a 40 percent chance of losing $3,000,000. If successful, its sequel would have a 50 percent chance of earning $8,000,000, but a 50 percent chance of losing $4,000,000. Of course, in either case, if the original movie were a flop, then no sequel would be produced. What is the probability that script 1 will be a success, but its sequel will not?
Answer: $9,000,000
Step-by-step explanation:
Probability is simply defined as the chance or likelihood that an event is going to happen or occur.
The probability that script 1 will be a success, but its sequel will not is the success of script 1 added to the failure of its sequel.
The total payoff will simply be the sum of the individual layoffs of both the success and the failure. This will be:
= $10,000,000 + (- $1,000,000)
= $10,000,000 - $1,000,000
= $9,000,000
Using conditional probability, it is found that there is a 0.14 = 14% probability that script 1 will be a success, but its sequel will not.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this question:
Event A: Script 1 is a sequel.Event B: It's sequel is not.Sequel 1 has a 70% probability of being a success, hence [tex]P(A) = 0.7[/tex].If it is a success, the sequel has a 80% probability of being a success, hence a 20% probability of being a failure, thus [tex]P(B|A) = 0.2[/tex]Then:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(A)P(B|A)[/tex]
[tex]P(A \cap B) = 0.7(0.2)[/tex]
[tex]P(A \cap B) = 0.14[/tex]
0.14 = 14% probability that script 1 will be a success, but its sequel will not.
A similar problem is given at https://brainly.com/question/14398287
The area of a rectangular wall of a barn is 270 square feet. It’s length is 12 feet longer than twice it’s width. Find the length and width of the wall of the barn.
Answer: 258
Step-by-step explanation: 270-12=w
The width of the wall is 9 feet and length is 30 feet.
What is perimeter of a rectangle ?The perimeter of a rectangle is the sum of all the sides.
According to the given question the area of a rectangular wall of a barn is 270 square feet. It’s length is 12 feet longer than twice it’s width.
Assuming the width of the rectangular wall to be x feet.
∴ From the given data length is 2x + 12 feet.
We know area of a rectangle is product of it's length and width.
So, { x × ( 2x + 12 ) } = 270.
2x² + 12x = 270.
2x² + 12x - 270 = 0
x² + 6x - 135 = 0
x² + 15x - 9x - 135 = 0
x(x + 15) - 9(x + 15) = 0
( x + 15 ) = 0 OR ( x+ 9 ) = 0
∴ x = -15 OR x = 9. ( we know length can note be negative )
So, Width of the rectangle is 9 feet and length is 30 feet.
learn more about rectangles here :
https://brainly.com/question/15019502
#SPJ2
You just found 13,406,190 pennies! How many dollars did you actually find? If each penny weighs 4 grams, how much did all that loot weigh in lbs?
Answer:
congrats you just found 118,222.36 pounds of pennies worth $134,061.9
you should buy a house or car with 59 tons of pennies
Simplify (X2/3) ^4/5
The answer to your questions is x8/15. Hope this helps!
An airplane cruises 1 kilometer in 1 12 of a minute. What is its cruising speed?
Answer:
Step-by-step explanation: 12 ur welcome
Speed is Distance traveled/time, then 12 kilometer per min is the cruising speed of airplane when airplane cruises 1 kilometer in 1 12 of a minute.
What is speed?Speed=Distance traveled/time
An airplane cruises 1 kilometer in 1 12 of a minute. We need to find the speed.
Given distance=1 km
time=1/12 min
We need to find speed.
Speed=Distance traveled/time
=1/(1/12)
=1*12/1
=12kilometerperminute
Therefore 12 kilometer per meter is the speed required.
To learn more on speed click:https://brainly.com/question/28224010
#SPJ2
Korey is planning to open a comic book store. His store will cost $12,500 to open and will come with a $8,000 total annual operational cost. If his store makes $12,000 in profit during the first year, and profits increase by 6% each year from then, how long will it take for Korey to see an overall profit in his business (where total profits exceed total expenses)? a. Korey will see an overall profit in his first year of business. b. Korey will see an overall profit in his second year of business. c. Korey will see an overall profit in his third year of business. d. Korey will see an overall profit in his fourth year of business.
Answer:
c. Korey will see an overall profit in his third year of business
Step-by-step explanation:
His cost for first year
= 12500+8000
=$ 20500
Profit first year= $12000
Net Profit first year= -$8500
Second year cost= $8000
Profit second year
= 12000+12000(0.06)
= 12000+720
=$ 12720
Net profit second year = -8500+12720-8000
= -3780
Third year
Cost = $8000
Profit= 12720+12720(0.06)
Profit=$13483.2
Net profit= 13483.2-8000-3780
Net profit= $1703.2
Korey will see an overall profit in his third year of business.
What is profit?The amount of money earned by any seller on the cost price is called the yield.
His cost for the first year
= 12500 + 8000
=$ 20500
Profit first year= $12000
Net Profit first year= -$8500
Second year cost= $8000
Profit second year
= 12000+12000(0.06)
= 12000+720
=$ 12720
Net profit second year = -8500+12720-8000
= -3780
Profit for Third-year
Cost = $8000
Profit= 12720+12720(0.06)
Profit=$13483.2
Net profit= 13483.2-8000-3780
Net profit= $1703.2
Therefore Korey will see an overall profit in his third year of business.
To know more about profit follow
https://brainly.com/question/25623677
#SPJ5
I need help with this
Answer:
b
Step-by-step explanation:
b is the answer
the range is all real number
[tex]-2(3 - 2x) = -6x + 8(x + 2)[/tex]
solve step by step
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 11}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 2(3 - 2x) = - 6x + 8(x + 2)}[/tex]
Distribute -2 through the parentheses
Similarly, Distribute 8 through the parentheses
[tex] \dashrightarrow{ \sf{ - 6 + 4x = - 6x + 8x + 16}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{ - 6 + 4x = 2x + 16}}[/tex]
Move 2x to left hand side and change it's sign
Similarly, move 6 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{4x - 2x = 16 + 6}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{2x = 16 + 6}}[/tex]
Add the numbers : 16 and 6
[tex] \dashrightarrow{ \sf{2x = 22}}[/tex]
Divide both sides by 2
[tex] \dashrightarrow{ \sf{ \frac{2x}{2} = \frac{22}{2} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 11}}[/tex]
Hope I helped!
Best regards! :D
What are 3 careers where similarity is used
Answer:
Management Farming Construction
Step-by-step explanation:
How many times as large 12 is than 2
Answer:
12 is 6 times larger than 2
Step-by-step explanation:
2*6=12
Answer:
12 is 6 times larger than 2.
Step-by-step explanation:
12, 6, and 2 are all common. Let's say we multiply 2 by 6, we get 12. We divide 12 by 2, we get 6.
can someone answer 5,6,7? can you also tell me how to solve them so i can do better in the future?
Which is a factor of 5x2 − 15x − 20?
Answer:
x= -1, x=4
Step-by-step explanation:
5x²-15x-20
5x²-20x+5x-20=0
5x(x-4) +5(x-4)
(5x+5) (x-4) =0
5x=-5 or x=4
x= -5/5. or x=4
x= -1 or x=4
The answer to the problem rhenbehejrjrjrhjfjf
Through my trials and tribulations I have decided that the answer is.
Y E S
Lavender grew from 38 inches to 52 inches in one month; what was
the % increase in growth ?
Solve for (4x+6)+(-x+2) please i need help
Answer:
3x - 8
Step-by-step explanation:
Step 1:
( 4x + 6 ) + ( - x + 2 )
Step 2:
4x - 6 + - x - 2
Step 3:
3x - 6 - 2
Answer:
3x - 8
Hope This Helps :)
Answer:
(3x+8)
Step-by-step explanation:
(4x+6)+(-x+2)
combine like terms
(4x+-x)+(6+2)
you would end up with
(3x+8)
Solve in detail plzzzzz
Answer:you need to multiply it by 4.
Step-by-step explanation:
If the number is multiplied by 4 it square root is effectively doubled.
Example: if you take the square root of 64, its 8.
to double the square root, you multiply 64 by 4---> 256.
And the square root of 256, is 16, double that of the square root of 64.
How to express a vector as a product of its length and direction?
Answer:
So the way to express a vector( [tex]v = 2i - 2j - 2k[/tex]) as a product of its length and direction is
[tex]v = |v| u = \sqrt{12} (\frac{2}{ \sqrt{12} } , -\frac{2}{ \sqrt{12} }, - \frac{2}{ \sqrt{12} })[/tex]
Step-by-step explanation:
Generally a vector is expressed as a product of its length and direction using the formula below
[tex]v = |v|\cdot u[/tex]
Here v is the vector
|v| is its magnitude (length)
u is its unit vector (direction)
Now let take an example
Let
[tex]v = 2i - 2j - 2k[/tex]
The magnitude is mathematically evaluated as
[tex]|v| = \sqrt{ 2^2 + (-2)^2 + (-2)^2 }[/tex]
[tex]|v| = \sqrt{12}[/tex]
The unit vector is mathematically represented as
[tex]u = \frac{v}{|v|}[/tex]
[tex]u = \frac{ <2 , -2 , -2>}{\sqrt{12} }[/tex]
[tex]u = \frac{2}{ \sqrt{12} } , -\frac{2}{ \sqrt{12} }, - \frac{2}{ \sqrt{12} }[/tex]
So
[tex]v = |v| u = \sqrt{12} (\frac{2}{ \sqrt{12} } , -\frac{2}{ \sqrt{12} }, - \frac{2}{ \sqrt{12} })[/tex]
A _ is a constant, variable, or the product of a constant and variables.
Answer:
term
Step-by-step explanation:
term is a constant, variable, or the product of a constant and variables.
Term
An algebraic expression is one that is obtained by performing a finite number of algebraic operations on symbols that represent numbers.
An algebraic expression that is a number, a variable, or a product or quotient of numbers and variables is known as a term.
So,
A term is a constant, variable, or the product of a constant and variables.
For more information:
https://brainly.com/question/19585043?referrer=searchResults
Skkskskswks
................
Answer:
Skkskskswks....................
Step-by-step explanation:
???
Answer:
sksksksksksksksk.
Step-by-step explanation:
equals visco girl.
Which equation can be used to solve for x in the following diagram? Choose 1 answer:
Answer:
D) 60=(x+45)
Step-by-step explanation:
D. Since the two are equal, you need to put the two on opposite sides of the equation. The equation doesn’t involve 90 or 180 degrees, so no reason to have them.
Solving for x this way, you’d get 15, which is correct.
Solve for x. Show steps.
7x - 17 = 4x + 1
-x + 5 = x - 11
5x + 8 = 7x + 2
Combine the same numbers and do the opposite of either subtraction or addition.
Then, multiply or divide with the coefficient.
Answer:
see below
Step-by-step explanation:
⇒ 7x - 17 = 4x + 1
combine like terms
7x - 4x = 1 + 17
3x = 18
x = 18/3
x = 6
⇒ -x + 5 = x - 11
combine like terms
- x - x = - 11 - 5
-2x = -16
x = 16 / 2
x = 8
⇒ 5x + 8 = 7x + 2
combine like terms
5x - 7x = 2 - 8
- 2x = - 6
x = 6 / 2
x = 3
Given that 4x - 2y < 8, solve for y. Put them in order from steps . plz help
Answer:
y > 2x - 4
Step-by-step explanation:
Step 1: Write out inequality
4x - 2y < 8
Step 2: Subtract 4x on both sides
-2y < -4x + 8
Step 3: Divide both sides by -2
y > 2x - 4