1. Find the area of the shaded sector.
2. Find the length of the arc defined by the sector.
Answer:
1. 150π sq.ft 2. 10π ft
Step-by-step explanation:
Part 1Equation: Area of a sector = [tex]\frac{x}{360}[/tex] × π[tex]r^{2}[/tex]
Where:
x = internal angle
r = radius of circle
Values from problem:
x = 60
r = 30
Plug values into equation:
Area of sector = [tex]\frac{60}{360}[/tex] × π[tex]30^{2}[/tex]
Simplify:
60 divided by 30 equals [tex]\frac{1}{6}[/tex] and 30 squared equals 900 so...
[tex]\frac{1}{6}[/tex] × 900π
900π divided by 6 equals 150π so...
[tex]\frac{900}{6}[/tex] × π = 150π
150π sq. ft
Part 2Equation: Arc length = [tex]\frac{x}{360}[/tex] × 2πr
Where:
x = internal angle
r = radius of circle
Values from Problem:
x = 60
r = 30
Plug values into equation:
Arc length = [tex]\frac{60}{360}[/tex] × 2π30
Simplify:
60 divided by 360 equals [tex]\frac{1}{6}[/tex], and 2π × 30 equals 60π so...
[tex]\frac{1}{6}[/tex] × 60π
60π divided by 6 is 10π
[tex]\frac{60}{6}[/tex]π = 10π
10π ft
Can you simply these fractions?
5: You should (......) before the beginning of each paragraph when you are reading.
answers:
1: history
2: terror
3:apology
4:Pause
Answer:
4:Pause
Step-by-step explanation:
Before starting the reading of each paragraph you should pause as it does not create misunderstanding between the people also each and every paragraph should be clear to everyone so the chances of doubt would be minimum
Therefore according to the given options the fourth option is correct
Hello!
The answer is pause.
All the other options are nouns, but it's clear that we need a verb.
So, the answer is pause.
Hope it helps! :)
Do ask me if you have any query.
~An excited gal
[tex]MagicalNature[/tex]
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively. (2 points)
a
an = 2 • 3n - 1
b
an = 2 • (-3)n - 1
c
an = 2 • 3n
d
an = 2 • (-3)n + 1
Answer: C is the answer
Lisa set a weekly goal of jogging 18 miles. In each of the first 3 days, he jogged 2 2/3 miles. How many more miles must he run to reach his goal?
Answer:
Step-by-step explanation:
3(2+(2/3))+x=18
3(8/3)+x=18
(24/3)+x=18
8+x=18
x=10
He must run another ten miles.
Answer:
10.88
Step-by-step explanation:
3 * 2 3/8 = 6 9/8 = 7 1/8 miles
(x - 2)(2x + 3)(x + 5) can be written in the form ax + bx² + cx + d.
where a and b are positive integers, and c and d are negative integers.
Find the values of a, b, c and d.
a =
b =
C=
d =
Answer:
B and a good time to get answer of your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to
Answer:
2x^3 + 9x^2 - 11x - 30
so a=2, b=9, c= -11 and d= -30
Teresa runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?
Answer:
12/5 miles
Step-by-step explanation:
3/25=x/20
cross product
25*x=3*20
25x=60
x=60/25
simplify
x=12/5
Answer:
a. 2 – 8 - [- 4 – (-6 + 3 -9)] X ( -10 ÷2) suprimir los signos de agrupacion
Step-by-step explanation:
Which expressions are equal?
A. 2(x+3)+2x and 4x+3
B.3(x+2)+4xand 6x+6
C.5x+2(x+4) and 6x+8
D.4+5(x+2) and 5x+14
Answer:
Step-by-step explanation:
2(x + 3) + 2x
2x + 6 + 2x
4x + 6 and 4x + 3 not equal
3(x + 2) + 4x
3x + 6 + 4x
7x + 6 and 6x + 6 not equal
5x + 2(x + 4)
5x + 2x + 8
7x + 8 and 6x + 8 not equal.
4 + 5(x + 2)
4 + 5x + 10
5x + 14 and 5x + 14 are equal
The table shows the relationship between the average number of hours students studied for a mathematics test and their
average grade.
Hours
Studied
Average
Grade
0
62
1
78
2
85
5
74
Which type of function is most likely to model these data?
A
linear function with positive rate of change
O
B
linear function with negative rate of change.
non-linear function that decreases then increases
D
non-linear function that increases then decreases
Answer:
D
Step-by-step explanation:
I'm going to ponder a guess that the numbers shown, 0, 62, 1, 78, 2 ,etc. are part of a table. Having said that, the answers, when graphed, create a sort of parabola, meaning that the function itself is non-linear. This exterminates option A and B. Now its just a matter of seeing which way it goes, and since 78 is higher than 62, and 85 is higher than 78, it obviously increases, rather than decreases. This makes D our final answer.
Write the expanded form of the expression. 2(3x-5)
Answer:
6x-10
Step-by-step explanation:
2(3x-5)
6x-10
Answer:
-30
Step-by-step explanation: 2 threetimes takeawyfive
does anyone know what shape is made please somebody
Answer:
A hemisphere
Step-by-step explanation:
Graph the equation using the slope and y-intercept y = -x + 3
Answer:
Explained Below:Step-by-step explanation:
Your y-intercept is a positive three, so your starting point would start on positive three on the y-axis. Since your slope is a negative one, your line should be heading towards the bottom right corner (much like your last question).
To find the next point on the graph, you need to go down one and over one. Or, one space.
Answer:
I got you
Step-by-step explanation:
) tan c
С
45
36
B.
27
A
4/3
3/5
Ο Ο Ο Ο Ο
27/45
314
4/5
Answer:
A 4/3 3/5 000000 27/45 314 4/5
Write three different equations that match the tape diagram.
40
19
х
х
х
X
х
х
х
Pls answer quick
Answer:
19+7x=40
40-19=7x
40-7x=19
Which statement is true?
A
0.265 <0.3
B
0.265 >0.3
C
0.265 =0.3
Answer:
Step-by-step explanation:
265 < 300, so 0.265 < 0.3
Does anyone know how to solve this?
Answer:
1st one is (-7,1) 2nd one is (6,-7)
Step-by-step explanation:
Plot the real number on the x axis and the imaginary number on the y axis.
The residents of Watson Avenue are decorating their houses for the upcoming holidays. They
have decided to all string lights around the roofs of their houses. How many feet of lighting
does Sarina need if she wants to string lights along roof?
4 feet
10 feet
6 feet
6 feet
6 feet
6 feet
Plz explain how you solve this.
Answer:
38
Step-by-step explanation:
It is 4,10,6,6,6,6 feet so add it up and it is 38
6-8 weeks i hope this help:)
Answer:
I have no idea but okay
Area of composite. A. 157.21. B. 304. C. 506.42
Answer:
A. 157.21. is the answer
Step-by-step explanation:
I hope this helps
Identify the slope in the equation y= x - 2
Answer:
the slope is 1
Step-by-step explanation:
Subtract.
79−14
Enter your answer in simplest form
Answer:
65
Step-by-step explanation:
$2is what percent of $10
Answer:
2persent
Step-by-step explanation:
because there are 10 10 in 100
Answer:
20%
Step-by-step explanation:
can some one help me for 100pts
Answer:
THanks
Step-by-step explanation:
Answer:
What is the question??
Step-by-step explanation:
Jaylen will deposit $1,750 in an account that earns 6% simple interest every year. His best friend, Eli, will deposit $1,600 in an account that earns 8.5% interest compounded annually. The deposit will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two friends’ account after 5 years
Answer:
Jaylen- 2275
Eli- 2405.85
Jaylen
1750 x 0.06 x 5 =525
525 + 1750 = 2275
He makes 525 simple interest in those 5 years so you add that to the initial amount, to find his total after 5 years.
Eli
A= 1600(1+0.085)^5
1600(1.085)^5
2405.85
Hope this helps ^-^
which function has the steepest slope 2x-12 and y= 9- 3x
x+y =0
3x+y=16
x-y+4=8
A therapist wanted to determine if yoga or meditation is better for relieving stress. The therapist recruited 100 of her high-stress patients. Fifty of them were randomly assigned to take weekly yoga classes, and the other 50 were assigned weekly meditation classes. After one month, 30 of the 50 patients in the yoga group reported less stress, and 35 of the 50 patients in the meditation group reported less stress.
Based on the 95% confidence interval, (–0.29, 0.09), is there convincing evidence of a difference in the true proportions of patients experiencing stress relief in the yoga and meditation groups?
There is convincing evidence because the two sample proportions are different.
There is not convincing evidence because the interval contains 0.
There is not convincing evidence because the interval contains both negative and positive values for the true difference.
Answer: Choice B
There is not convincing evidence because the interval contains 0.
========================================================
Explanation:
The confidence interval is (-0.29, 0.09)
This is the same as writing -0.29 < p1-p1 < 0.09
The thing we're trying to estimate (p1-p2) is between -0.29 and 0.09
Because 0 is in this interval, it is possible that p1-p1 = 0 which leads to p1 = p2.
Therefore, it is possible that the population proportions are the same.
The question asks " is there convincing evidence of a difference in the true proportions", so the answer to this is "no, there isn't convincing evidence". We would need both endpoints of the confidence interval to either be positive together, or be negative together, for us to have convincing evidence that the population proportions are different.
There is not convincing evidence because the interval contains 0.
What is Confidence Interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.
We have, the confidence interval as (-0.29, 0.09)
and, the same as writing -0.29 < p1-p1 < 0.09
Now, as the interval is 0 then
p1 - p2 = 0
p1 = p2
There is a chance that the population ratios are identical.
So, there isn't convincing evidence.
For us to have strong evidence that the population proportions are different, the ends of the confidence interval must be either positive together or negative together.
Learn more about Confidence Interval here:
https://brainly.com/question/24131141
#SPJ3
PLEASE ANSWER THIS ILL GIVE BRAINLIEST
Answer:
the answer is 2342
Step-by-step explanation:
because 7x add 2y = 2342
a rectangle measuring 4m by 3m
Answer:
If you are asking the area it is 12
Step-by-step explanation:
Answer:
Area: 4 x 3 = 12m
Perimeter: 4 + 3 + 4 + 3 = 14m
Step-by-step explanation:
I hope this helps u! :D
brian makes an investment in his company’s stock . what does the stock chart say about the stock price today? The down arrow indicates the stock price has decreased from yesterday’s price of $______ at the ______ of the marley day.
Answer:50$ and 2
Step-by-step explanation:
Answer:
The down arrow indicates the stock price has decreased from yesterday’s price of $
66.20
at the
close
of the market day.
your welcome <3
can anyone help me? I'm so lost on this question. thanks!!
Answer:
a. -21
b. -16
c. -11
d. -9
Step-by-step explanation:
if x is less than -2, then u have to use the equation 5(x)-1
if x is greater than or equal to -2, then you have to use the equation (x)-9
Answer:
Step-by-step explanation:
This is a ‘piece wise function’ meaning it has different functions depending on the value of the independent variable, x.
So for questions a and b where x<-2 you sub the x value into the top equation, 5x-1.
f(-4)=5(-4)-1=-20-1=-21
f(-3)=5(-3)-1=-15-1=-16
Since the second two x values are not less than -2, you sub the x values into the second equation x-9
f(-2)=-2-9=-11
f(0)=-0-9=-9