Question 5
Calculate the perimeter of the sector
4cm
285
The arc length of the sector will be 19.89 centimeters.
What is the arc length of the sector?Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/2π) 2πr
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The radius of the sector is 4 cm. And the central angle is 285°.
Then the perimeter of the sector is given as,
Arc = (285° / 360°) x 2 x 3.14 x 4
Arc = 19.89 cm
The arc length of the sector will be 19.89 centimeters.
More about the arc length of the sector link is given below.
https://brainly.com/question/15955580
#SPJ2
There is a chowder eating contest in a small New England town. The distribution of the amount of chowder consumed is bell-shaped with mean 32 ounces and variance 64 ounces. If two hundred people participated in the contest, find the following.a. The number of people who consumed between 24 and 40 ounces of chowder.b. The number of people who consumed between 16 and 40 ounces of chowder.
Answer:
Interval ( 24 ; 40 ) has 136 participants
Interval ( 16 ; 40 ) has 163 participants
Step-by-step explanation:
Normal distribution.
As variance is 64 then standard deviation is σ = 8
And mean μ₀ = 32
We can see that μ₀ ± σ is 32 ± 8
The interval ( 32- 8 ; 32+8 ) is ( 24 ; 40 )
By empirical Rule we know that μ₀ ± σ contains 68% of the population then 200*0,68 = 136
The number of participants between 24 and 40 is 136
By symmetry of these 136 half of them are between 32 and 40 ( 136/2 = 68 ) ( between mean and 40 )
Now in the interval ( 16 ; 40 ) we note that 16 is 32 - 16 = 16 or μ₀ - 2σ
And again by empirical rule μ₀ ± 2σ has 95 % of the population that means 200*0.95 = 190 and by symmetry 190/2 95 are between μ₀ - 2σ, therefore
95 people are between μ₀ - 2σ or between ( 16 ; 32 ) and between ( 32 ; 40 ) there are 68 people then
The interval ( 16 ; 40 ) has 95 + 68 = 163 participants
Joel is looking at payment plans for the gym.
Plan A: $25 per month plus $145 to start
Plan B: $50 per month
How many months would it take for Plan A to be cheaper than Plan B?
Answer:
5 months
Step-by-step explanation:
plan a: $145 +$25x ........ $145 + ($25 x 4)= $245
plan b: $50x.......... $50 x 5= $250
Help me please, 1. And 2.
Answer:
Step-by-step explanation:YOU HAVE TO SHOW ME THE WHOLE THING SO THAT I CAN ANSWER IT DUH
Can you help if your are eligible to?
Find a. Round to the nearest tenth
12 cm
22 cm
31.8°
75°
a
a = [?] cm
Law of Sines: sin A
sin C
sin B
b
=
a
С
Enter
Answer:
21.8cm is the required answer
Step-by-step explanation:
The measurement of the third side of the triangle is 22 cm
What is sine law?The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
Given is a triangle with angles 75° and 31.8° also two of its sides are 12 and 22 we need to find the third side of the triangle,
Finding angle A
180°-(75°+31.8°) = 73.2°
Now, using the sine law,
Sin 73.2° / a = Sin 75° / 22
a = 21.80
a ≈ 22
Hence, the measurement of the third side of the triangle is 22 cm
Learn more about sine law, click;
https://brainly.com/question/17289163
#SPJ7
what does math means
Answer:
It means mathematics.
Lamoo thats wht it said in go-ogle
Step-by-step explanation:
Solve the inequality
10<3x+19
Answer:
The answer is ->
x>-3
A store sells graph paper in packages of 100 sheets. During a sale, they offer a package that has 25% more sheets for no additional cost. How many sheets are in the sale package?
Answer: 125
Step-by-step explanation:
25% of 100 = 25
25 + 100
125
What is the fraction 7/12 as a product of a whole number and a unit fraction
Answer:
7 1/2 is the answer because you have to multiply the whole by the denominator. Make that product the numerator.
Step-by-step explanation:
Which part of a flower grows into the fruit?
the stigma
the anther
the ovule
the ovary
Answer:
ovary
Step-by-step explanation:
Which type of triangle is formed given the following angle measurements?
Angle 1: 50 degrees
Angle 2: 110 degrees
Angle 3: 20 degrees
The Bayesian statistician Bruno de Finetti (1906–1985) began his 1973 book on probability theory with the declaration: "PROBABILITY DOES NOT EXIST." The capitals appeared in the original, so I imagine de Finetti wanted us to shout this statement. What he meant is that probability is a device for describing uncertainty from the perspective of an observer with limited knowledge; it has no objective reality. Discuss the globe tossing example from the chapter, in light of this statement. What does it mean to say "the probability of water is 0.7"?
Answer:
It means that if we select a random point around the globe, there is a 70% = 0.7 probability that it represents water.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
We know, that the planet Earth is formed 70% by water, and the globe represents this. This means, as the statement says, the if we select a random point around the globe, there is a 70% = 0.7 probability that it represents water.
Select the correct answer from each drop-down menu.
Describe the relationship between the area of a circle and its circumference.
The -blank-
is -blank-
times the -blank-
times the circunference.
Answer:
hey im not completely sure but i think its the RADIUS is 1/3 times the AREA time the circumference
Step-by-step explanation:
Espaol
A math class has 7 girls and 3 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an
eighth grader from the class for a competition. What is the probability that the students she selects are both girls?
Write your answer as a fraction in simplest form.
M
Answer:
61%
Step-by-step explanation:
7g+3b= 7th grade
4g+4b= 8th grade
70% chance of a girl getting picked from 7th grade
50% chance of a girl getting picked from 8th grade class
11g+7b= both classes
about 61% chance for both classes to be a girl picked?
An equation of a line through (-1, 1) which is parallel to the line y = 5x + 1 has slope:
and y-intercept at:
Answer:
The slope is 5 and the y-intercept is at (0, 6)
Step-by-step explanation:
Parallel lines have the same slope, so the slope of the equation is 5. The equation is y = 5x + 6, so the y-intercept is 6.
ASAP PLS HELP WILL MARK BRAINLIEST!!
Answer:
The lines intersect at (-2,2).
Step-by-step explanation:
The line has an y intercept of 1 and a slope of -1/2 so after graphing the both of them thats where they intersect.
–9x + 9y = 9
y = –7
(
,
)
Answer:
x=-8
(-8,-7)
Step-by-step explanation:
–9x + 9y = 9
–9x + 9(-7) = 9 (y=-7)
-9x-63=9
Both side +63
-9x=63+9
-9x=72
Both side divide -9
x=-8
y=-7
(-8,-7)
Define/explain the symmetric property.
Step-by-step explanation:
The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .
Can someone help me please it’s urgent what’s the answer or property of c?
Answer:
Associative property
Step-by-step explanation:
What is Steve's mean speed if he bikes 55.5 miles in 3.7 hours? Round your answer to two decimal places, if necessary.
Answer:
15m/s
Step-by-step explanation:
Given data
DIstance= 55.5 miles
time= 3.7 hours
Required
the speed
We know that
Speed= distance/time
Substitute
Speed= 55.5/3.7
Speed= 15 m/s
Hence the speed is 15m/s
Angle 1 is 135
Angle 2 is ?
Angle 3 is 135
Angle 3 is an exterior angle. What is the missing angle
A. 45
B. 80
C. 90
D. 180
Answer:
80
Step-by-step explanation:
di ko po alam kung tama ba
(sana po makatulong po)
#9 Consider the expression 9x - 4b + 3. Select all of the statements below
that are true.*
There are 2 variables in the expression.
9 is the only coefficient in the expression
There are 2 terms in the expression.
3 is the constant in the expression
There are 3 terms in the expression
I need help plz
Answer:
Step-by-step explanation:
True:
- There are two variables
- 3 is the constant
- There are 3 terms in the expression
When a 15%, 38%, and 44% series of discounts are applied, the total markdown rounded to the nearest percent is
Answer: 97%
Step-by-step explanation:
15% + 38% + 44% = 97%
The other letter to the left is X btw PLS HELP
Answer:
probably D
Step-by-step explanation:
Simplify (0.24) × (-0.15)
Answer:
0.036
Step-by-step explanation:
Answer:
0.24 x 0.15 = 0.036
Step-by-step explanation:
First ignore the decimal points so you have 24*15 = 360.
You have to start at the right, and move the decimal point 4 places. So, you get 0.036. Pls give brainliest.
Ally picked 25 roses. She gave away 10 roses. What percent of the roses does Ally still have?
Answer:
She still has 60%
Step-by-step explanation:
First you make the 25 a 100 which is basically multiply by 4 which you should do the same for 10
so 40/100 is how much she game away
She gave away 40%
She still has 60%
The percent of the roses does Ally still have is 60%.
Given that,
Ally picked 25 roses. She gave away 10 roses.
Based on the above information, the calculation is as follows:
[tex]= \frac{25-10}{25}[/tex]
= 60%
Learn more: brainly.com/question/17429689
what is 6+5/7 converted into a mix number
Answer:
47/7
Step-by-step explanation:
I think the answer is 6 5/7 or 47/4
Answer:
6 5/7
Step-by-step explanation:
Hope this helps!
Best of luck! ♥
if m=2 and b=-5, what is the equation of the line in slope intercept form
Answer:
y=2x-5
explanation:
y=mx+b
A circle has a radius of 3.6 calculate the area of circle use 3.14 round your answer th the nearest hundredth of a square meter
Answer:
40.72units^2
Step-by-step explanation:
Given data
Radius= 3.6 units
The area is given as
A=πr^2
substitute
A=3.142*3.6^2
A=3.142*12.96
A=40.72units^2
Hence the area is 40.72units^2