Answer:
The central angle of the sector is 0.5 radian
Step-by-step explanation:
given;
radius of the circle, r = 80 mi
area of the sector, A = 1600 mi²
Area of sector is given by;
A = ¹/₂r²θ
where;
θ is the central angle (in radians) of the sector
[tex]\theta = \frac{2A}{r^2}\\\\\theta = \frac{2*1600}{80^2}\\\\ \theta = 0.5 \ radian[/tex]
Therefore, the central angle of the sector is 0.5 radian
The central angle (in radians) of the sector is 28.66 degrees
The formula for calculating the area of a sector is expressed as:
[tex]A = \theta/360 \times \pi r^2[/tex]
Given the following parameters
radius r = 80mi
Area of sector A = 1600mi²
Substitute the given parameters into the formula
1600 = Ф/360 * (3.14)(80)²
1600 * 360 = 20,096Ф
Ф = 576000/20,096
Ф =28.66 degrees
Hence the central angle (in radians) of the sector is 28.66 degrees
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B is between A and C. If AC = 31, AB = x–6, and BC = 2x+10, find the value of x. (Hint: Draw a picture.)
x =
Lauren bought a television that cost $805. She plans to make equal payments of $38 each month until the television is paid in full. About how many payments will Lauren make?
An urn contains 17 white balls and 18 red balls. A sample of four balls is selected at random from the urn. What is the probability that the sample contains two white balls and two red ones?
a. 0.0286
b. 0.2286
c. 0.3974
d. 0.0944
e. 0.0442
f. None of the above.
Answer:
c. 0.3974
Step-by-step explanation:
Given;
number of white balls, W = 17
number of red balls, R = 18
Total number of balls, T = 35
The number of ways the event will occur is given by
= P(2 whites) and P(2 reds)
= P(2whites) x P(2 reds)
= 17C2 x 18C2
= 136 x 153
= 20,808
The total number of possible outcome
= 35C4
= 52,360
The probability = 20,808 / 52,360
= 0.3974
The correct option is "C"
Probability that the sample contains two white balls and two red ones is equal to 0.3974.
So, option c. is correct.
Permutations and combinationsProbability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim.
Number of white balls [tex]=\boldsymbol{17}[/tex]
Number of red balls [tex]=\boldsymbol{18}[/tex]
Total number of balls [tex]=\boldsymbol{35}[/tex]
Probability that the sample contains two white balls and two red ones
[tex]=\frac{\binom{17}{2}\binom{18}{2}}{\binom{35}{4}}[/tex]
[tex]=\frac{\frac{17!}{15!2!}\frac{18!}{16!2!}}{\binom{35!}{31!4!}}[/tex]
[tex]=\boldsymbol{0.3974}[/tex]
So, option c. is correct.
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Solve "43 -
O a = 3/5
O a = 3/4 .
O a = 4/3
O a = 5/3
Answer:
the answer to this question is 4/3
Answer:
C 4/3
Step-by-step explanation:
you're welcome <3
The revenue function is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x) is the unit price. If p(x)=34(3)−x6, find the revenue if 6 units are sold. Round to two decimal places.
PLEASE HELP (must show work) Show all work to factor x4 - 17x2 + 16 completely.
Hii, can someone please help? I'm giving BRAINLIEST
Answer:
It would Be C I hoped this helped
List the first 5 Multipluls of 30
Answer:
30*1 = 30 - 1st
30*2 = 60 - 2nd
30*3 = 90 - 3rd
30*4 = 120 - 4th
30*5 = 150 - 5th
Above are the first 5 multiples of 30.
Answer:
30,60,90,120,and 150. I hope this helps:)
Step-by-step explanation:
Use the substitution method to solve the system of equations. Enter your
answer as an ordered pair.
x + y = 11
-X = -y-9
Answer:
Here ya go
Step-by-step explanation:
Examples: 1+2, 1/3+1/4, 2^3 * 2^2
(x+1)(x+2) (Simplify Example), 2x^2+2y a x=5, y=3 (Evaluate Example)
y=x^2+1 (Graph Example), 4x+2=2(x+6) (Solve Example)
Let n = 5.
What is the value of the expression 9n2−2−n?
Enter your answer in the box.
Answer:
9 (5) 2 - 2 - 5 = 83
I like animals, what animals do you like?
Answer:
tigers
Step-by-step explanation:
Answer:
cats,bunnys,rabits,snakes,lizards,horses,dogs
Step-by-step explanation:
Karl bought 3 1/2 gallons of milk that cost $2.70 per gallon.
What was the total cost of the milk?
Answer:
The total cost would be $9.45
Step-by-step explanation:
Please help asap, 10 points
Answer:
3x^2
................
Let F(x) = 4^x
The new fiction g(x) = f(x-1) +3
Write the new equation for g
Identify the type of slope each line has. Place your answer under each graph.
-3, 0, 1/2, undefined
if it is going down its negative if it goes up its positive
first one you can tell because each one to the right it goes 3 down
2nd is 0 because there is no slope to it, last one is undefined because it cant be all the numbers when x is -4
3
The slope of the line that passes through the points (0,3) and (5, 13) is
Mellssa will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $44 and costs an additional S0.14 per mile driven.
The second plan has an initial fee of $51 and costs an additional $0.09 per mile driven
For what amount of driving do the two plans cost the
Same?
mile
17
What is the cost when the two plans cost the same?
X
5
?
Answer:
Step-by-step explanation:
44+.14x = 51+.09x
.05x=7
140=x, or the amount of driving the two needs to do for the plans to be the same
44+14(.14)
plug it back in to find the cost
$63.60
Find the sum. 637,391 + 372,088 *
Answer:
1,009,479
Step-by-step explanation:
dude there 8a some thing called as a CALCULATOR
A football team has a total of 800 jerseys. There are 6 medium size jerseys. What is the percentage of medium size jerseys?
Solve for the variable.
5t - 3 = 3t + 9
F
t = 6
G
t = 9
H
t = 3
J
t = 8
Answer:
F. t = 6
Step-by-step explanation
5t - 3 = 3t + 9
add 3t to both sides
2t - 3 = 9
add 3 to both sides
2t = 12
divide both sides by 2
t = 6
If a function is defined by the formula y = 1/2 x + 3 and its domain is given by the set { -4,0,8}, then which set gives the functions range
Answer:
(-4, 8)
Step-by-step explanation:
Out of 60 people at the movies, 21 are kids. What percent are adults?
Answer: it is 65 % 39/60=13/20
Step-by-step explanation: because the kids are 21/60 and the adult are 39/60
0
The sum of three numbers is 10 The sum of twice the first number, 3 times the second number, and 4 times the third number is 27 The difference between 6 times
the first number and the second number is 35. Find the three numbers
first number
second number
third number
Answer:
vjbsvjbavljjvldbsef
Step-by-step explanation:
Find the simple interest paid to the nearest cent for each principal, interest rate, and time.
$2,620, 3%, 5 years
Pleaseee help!!!
Step-by-step explanation:
You deposit some money into a bank account paying 4% simple interest per year. You received $72 in interest after 3 years. How much the deposit (principal) was?
help me pleaseeeeee
Answer:
c
Step-by-step explanation:
I need it fasttttttt
5. Rex deposited $900 into an
account that earns 4% simple
interest. How many years will it
take for the value of the
account to reach $1,800?
Answer:
well, there is already $900 so 1800-900=900 now we need 4% of 900 which is $36 900 divided by 36 is 25
it will take 25 years
Step-by-step explanation:
plz mark brainliest i answered first
The number of years that will it take for the value of the account to reach $1,800 should be 25 years.
Calculation of the number of years:Since the deposited amount is $900
The rate of interest is 4%
The future value is $1,800
So here the balance amount should be
= $1,800 - $900
= $900
Now 4% of $900 = 36
So the number of year should be
= [tex]900\div 36[/tex]
= 25 years
hence, The number of years that will it take for the value of the account to reach $1,800 should be 25 years.
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You are at a restaurant and the check comes to a total of $11. If you want to leave a 17% tip, how much total money should you pay, to the nearest cent?
Answer: $12.87
Step-by-step explanation:
$11 x .17 = $1.87
$11 + $1.87 = $12.87
Find the slope of the line
y = 1/4x + 1/3
Thanks!
Answer:
0.0825
Step-by-step explanation:
1/4=0.25
1/3=0.33
69 or 420? ................
Answer:
420 ayeee
Step-by-step explanation:
Answer:
I meeeaaan, both are pretty good numbers ;P
Step-by-step explanation:
How do you do this question?
Answer:
y(0) = 3
Step-by-step explanation:
This is solved by plugging in each option one by one, and seeing which one results in a positive value for dy/dt.
dy/dt = (4 − 1) (1 − 2²) = -9
dy/dt = (7 − 1) (1 − 1²) = 0
dy/dt = (1 − 1) (1 − 2²) = 0
dy/dt = (-4 − 1) (1 − 0²) = -5
dy/dt = (3 − 1) (1 − 0²) = 2
Only the last option fits.