Find the area of the shaded region. Round to the nearest tenth. 11.1m 130°
Area = [ ? ] m²
![Find The Area Of The Shaded Region. Round To The Nearest Tenth. 11.1m 130 Area = [ ? ] M](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/fEmqsfOCk4VWmabjBCUsXXEszP90hU1h.jpeg)
Answers
The area of the shaded region is 294.5 m².
What is the area of the entire circle?The area of the entire circle is calculated as follows;
A = πr²
where;
r is the radius of the circleA = π ( 11.1² )
A = 387.1 m²
The area of the sector is calculated as follows;
A = ( θ/360 ) πr²
A = ( 130/360 ) x π ( 11.1² )
A = 139.8 m²
The area of the triangle is calculated as follows;
A = ¹/₂ ( sinθ )r²
A = ¹/₂ ( sin 130 ) (11.1²)
A = 47.2 m²
Area of the unshaded region is calculated as;
A' = 139.8 m² - 47.2 m²
A' = 92.6 m²
The area of the shaded region is calculated as follow;
A'' = 387.1 m² - 92.6 m²
A'' = 294.5 m²
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Related Questions
a circle has a radius that is 4 centimeters long. if a central angle has a measure of 3 radiants, what is the length of the arc that corresponds to the angle ?
A. 12 centimeters
B. 4 centimeters
C. 3 centimeters
D. 7 centimeters
Answers
Answer:
A number is right 12 centimetres
Write the number 52 as a product of primes. SHOW ALL WORK
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AnsweStep-by-step explanation:
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Sally bought five books.Their mean price was 3.25. The total cost for four books was 11.75.what was the cost of the fifth book
Answers
Answer:
$4.50
Step-by-step explanation:
Use the mean formula: mean = sum of elements / number of elements
Let x represent the cost of the fifth book, and solve for x:
mean = sum of elements / number of elements
3.25 = (11.75 + x) / 5
16.25 = 11.75 + x
4.5 = x
So, the cost of the fifth book was $4.50
find the mean proportional between 9 and 1/36
Answers
Answer:
The mean proportional between 1/36 and 1/9 would be 1/18.
A coordinate plane with a line passing through the points (0, negative 1, 0) and (4, 0).
What is the equation of the graphed line written in standard form?
x – 4y = 4
x + 4y = 4
y = y equals StartFraction one-fourth EndFraction x minus 1.x – 1
y = –y equals negative StartFraction one-fourth EndFraction x minus 1.x – 1
Answers
Answer:
x-4y=4
Step-by-step explanation:
The equation of a straight line is in slope intercept form:
y = mx + b;
where y and x are variables, m is the slope of the line and b is the y intercept.
The standard form of a line is:
Ax + By = C
where A, B and C are constants, x and y are variables
The equation of a straight line passing through the points (x₁, y₁) and (x₂, y₂) is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\[/tex]
Given that a line passes through the points (0, -1) and (4, 0), the equation of the line is given by:
[tex]y-(-1)=\frac{0-(-1)}{4-0} (x-0)\\\\y+1=\frac{1}{4} x\\\\y=\frac{1}{4} x-1\\\\4y=x-4\\\\x-4y=4[/tex]
Answer:
Step-by-step explanation:
Brian made $198 for 11 hours of work.
At the same rate, how many hours would he have to work to make $324 ?
Answers
Answer:
18 hours
Step-by-step explanation:
Forst u must find out how much u get for 1 hour which is 198/11=18 so every hour u get 18 dollars.
Next, Ypu must divide 324/18 to see how many hours he worked which we get 18
Finally 18 is the answer!
Step-by-step explanation:
If he made $198 in 11hrs
how many hours will he take to make $324
Let hours be x
$198=11hours
$324= x hours
= $324 *11hours / $198
= 18 hours
I hope this helps.
A bank gives you a loan of 1,500,000 Baht to buy a house. The interest rate of the loan is 0.01% per day (Using 1 year = 365 days)
How much interest you pay after 10 years
Answers
Answer:
15.000 is cost so relate it with 265..hope it is help u.
Tonya wants to estimate what proportion of the students in her dormitory like the dorm food. She interviews a simple random sample of 50 students living in the dormitory. She finds that 14 think the dorm food is good. Find a 90% confidence interval for the true proportion of students that think the dorm food is good.
a. 0.176 to 0.384
b. 28%
c. 0.28 +/- 0.03
d. 0.156 to 0.404
Answers
Answer:
Step-by-step explanation:
The solution of the problem has been solved on paper and attached in the attachment section. Kindly refer to that and feel free to ask any doubt.
(3x^3)^2 write without exponent
Answers
Answer:
9*x*x*x*x*x*x.
Step-by-step explanation:
(3x^3)^2
= 3^2 * x^(3*2)
= 3^2 * x^6
= 9*x*x*x*x*x*x
The weights for newborn babies is approximately normally distributed with a mean of 5.4 pounds and a standard deviation of 1.8 pounds. Consider a group of 1500 newborn babies: 1. How many would you expect to weigh between 3 and 6 pounds
Answers
Answer:
You would expect 807 babies to weigh between 3 and 6 pounds.
Step-by-step explanation:
We are given that
Mean,[tex]\mu=5.4[/tex]pounds
Standard deviation,[tex]\sigma=1.8[/tex]pounds
n=1500
We have to find how many would you expect to weigh between 3 and 6 pounds.
The weights for newborn babies is approximately normally distributed.
Now,
[tex]P(3<x<6)=P(\frac{3-5.4}{1.8}<\frac{x-\mu}{\sigma}<\frac{6-5.4}{1.8})[/tex]
[tex]=P(-1.33<Z<0.33)[/tex]
[tex]P(3<x<6)=P(Z<0.33)-P(Z<-1.33)[/tex]
[tex]P(3<x<6)=0.62930-0.09176[/tex]
[tex]P(3<x<6)=0.538[/tex]
Number of newborn babies expect to weigh between 3 and 6 pounds
=[tex]1500\times 0.538=807[/tex]
translate to a system of equations but do not solve.
A non-toxic floor wax can be made from lemon juice and food grade linseed oil. The amount of oil should be twice the amount of lemon juice. How much of each ingredient is needed to make 30 oz of floor wax?
let x represent the number of ounces of lemon juice and y represent the number of ounces of linseed oil.
complete the system of equations.
y =
x+y =
Answers
Answer:
x + y = 30
y = 2x
Step-by-step explanation:
x = number of ounces of lemon juice
y = number of ounces of linseed oil
How much of each ingredient is needed to make 30 oz of floor wax?
x + y = 30
The amount of oil should be twice the amount of lemon juice.
y = 2x
Answer:
x + y = 30
y = 2x
Which expression is equivalent to the following complex fraction?
Answers
Step-by-step explanation:
Option B is correct. Refer to the attachment!
A car and a motorcycle whose average rates are in the ratio of 4:5 travel a distance of 160 miles. If the motorcycle
travels 1/2 hour less than the car, find the average rate of each.
Answers
Answer:
Step-by-step explanation:
I always advise my students to make a table of information for these story problems because trying to keep track of the information otherwise is a nightmare. The table will look like this:
d = r * t
m
c
m is motorcycle and c is car.
First thing we are told is that the ratio of m's speed to c's speed is 5:4; that means that we can divide 5/4 to find out how many times faster m is going than c.
5/4 = 1.25 so we have a couple of values to put into the table right away, along with the fact that they are both traveling the same distance of 160 miles.
d = r * t
m 160 = 1.25r
c 160 = r
The last thing we have to fill in is the time. If m travels a half hour less than c, c is driving a half hour more than m, right? Filling that in:
d = r * t
m 160 = 1.25r * t
c 160 = r * t + .5
Now we have our 2 equations. Looking at the top row of the table gives us the formula we need to solve this problem. It tells us, in other words, what we are going to be doing with these columns of numbers. Distance equals the rate times the time. For the motorcycle, the equation is:
160 = (1.25r)t and that seems pretty useless since we still have 2 unknowns in there and you can only have 1 unknown in 1 equation. Let's see what the equation for the car is.
160 = (t + .5)r Same problem.
Let's go back to the equation for the motorcycle and since we are looking for the rates of each, let's solve that equation for time in terms of rate (solve it for t):
[tex]t=\frac{160}{1.25r}[/tex] and sub that into the car's equation in place of t:
[tex]160=r(\frac{160}{1.25r})+.5r[/tex] and simplify. The r's to the left of the plus sign cancel out leaving us with:
[tex]160=(\frac{160}{1.25})+.5r[/tex] and divide those numbers inside the parenthesis to get:
160 = 128 + .5r and subtract 128 from both sides to get:
32 = .5r and finally divide by .5 to get
r = 64 miles/hour
The car goes 64 mph and the motorcycle goes 1.25 times that so,
m = 1.25(64) and
m = 80 mph
if sine Theta is less than 0 and tan Theta is greater than 0 then
Answers
Answer:
Sine Theta is a negative number, Tan Theta is a greater number then zero.
Step-by-step explanation:
If Sine Theta is less then zero, she is a negative number. So 0 - y = -y.
So if Tan Theta is a greater number than zero, her number is not negative. So 0 + y = y
I hope this helped! I didn’t really understand the question though.
the difference when a number doubled is subtracted from 3
Answers
Answer: Let the number be x
3-2x is the equation.
What is the prime factorization of 30?
O A. 2.2.3.5
O B. 5.6
O C. 3.10
O D. 2.3.5
Answers
D. 2.3.5 is the correct answer
Determine if each proportion on the left is true or false
Answers
9514 1404 393
Answer:
FalseTrueTrueTrueStep-by-step explanation:
An easy way to tell if the equation is true is to multiply it by the product of the denominators (cross multiply).
7×7 ≠ 12×4 . . . . proportion is False
9×8 = 36×2 . . . . proportion is True
8×9 = 24×3 . . . . proportion is True
5×104 = 8×65 . . . . proportion is True
A seller of the property listed at $200,000 excepted a 90% offer the home appraised at $185,000 and the buyers obtained a loan for 85% for 30 years at 5% interest what is the first months interest
Answers
Answer:
$637.50
Step-by-step explanation:
According to the Question,
Given That, A seller of the property listed at $200,000 excepted a 90% offer the home appraised at $185,000 and the buyers obtained a loan for 85% for 30 years at 5% interestThus, the first months interest is
$200,000 list price x 0.90 = $180,000 contract sales price.
Since lender always uses the less of the appraised value or the contract sales price, use $180,00 for the remainder of the calculations.
$180,000 contract sales price x 0.85 LTV = $153,000 loan. $153,000 loan x 0.05 interest rate = $7,650 annual interest. $7,650 ÷ 12 = $637.50 monthly interest payment for the first month.Answer:
$637.50
Step-by-step explanation:
The appraised value is irrelevant. The lender will consider the lower of the appraised value or the agreed purchase price.
The term of the loan is also irrelevant. It is not an amortization problem.
The first month’s interest is $637.50.
A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. The numbers y of cell sites from 1985 through 2011 can be modeled byy = 269573/1+985e^-0.308t where t represents the year, with t = 5 corresponding to 1985. Use the model to find the numbers of cell sites in the years 1998, 2003, and 2006.
Answers
Answer:
(a) 3178
(b) 14231
(c) 33152
Step-by-step explanation:
Given
[tex]y = \frac{269573}{1+985e^{-0.308t}}[/tex]
Solving (a): Year = 1998
1998 means t = 8 i.e. 1998 - 1990
So:
[tex]y = \frac{269573}{1+985e^{-0.308*8}}[/tex]
[tex]y = \frac{269573}{1+985e^{-2.464}}[/tex]
[tex]y = \frac{269573}{1+985*0.08509}[/tex]
[tex]y = \frac{269573}{84.81365}[/tex]
[tex]y = 3178[/tex] --- approximated
Solving (b): Year = 2003
2003 means t = 13 i.e. 2003 - 1990
So:
[tex]y = \frac{269573}{1+985e^{-0.308*13}}[/tex]
[tex]y = \frac{269573}{1+985e^{-4.004}}[/tex]
[tex]y = \frac{269573}{1+985*0.01824}[/tex]
[tex]y = \frac{269573}{18.9664}[/tex]
[tex]y = 14213[/tex] --- approximated
Solving (c): Year = 2006
2006 means t = 16 i.e. 2006 - 1990
So:
[tex]y = \frac{269573}{1+985e^{-0.308*16}}[/tex]
[tex]y = \frac{269573}{1+985e^{-4.928}}[/tex]
[tex]y = \frac{269573}{1+985*0.00724}[/tex]
[tex]y = \frac{269573}{8.1314}[/tex]
[tex]y = 33152[/tex] --- approximated
F(x)=-x^2-4 for x= -3
Answers
Answer:
5Step-by-step explanation:
Given:
f(x)=-x²-4Substitute x= -3:
f(-3) = (-3)² - 4 = 9 - 4 = 5three friends, akira,bruno and carmela pooled thier money to start a lemonade stand. akria contributes $25, bruno contributed $20 and carmela contributed $35. after a month, thier lemoneade stand had earned 2000, and they want to distribute this money in the same ratio as the money that was invested. how many dollars will brouno recieve
plz explian
Answers
9514 1404 393
Answer:
$500
Step-by-step explanation:
Bruno's fraction of the total contribution was ...
Bruno / Total = $20/($25 +20 +35) = 20/80 = 1/4
Then Bruno's share of the earnings is this same fraction, so is ...
(1/4) × ($2000) = $500
I need help asap will give five stars and mark u the brainliest
Answers
Answer:
-00
OKAY
OKAY
OK
OK
DGSOTSITS6EUEYEYTITUTUTIT
Addison drove 960 miles in 16 hours what was her speed in miles per hour
Answers
You would divide 960 by 16 and will get 60 as your answer
Answer:
60 miles/hour
Step-by-step explanation:
960÷16
=60 hours
Find the probability that when a couple has children, at least one of them is a . (Assume that boys and girls are equally likely.)
Answers
Answer:
[tex]P(At\ least\ one\ girl) = 0.875[/tex]
Step-by-step explanation:
Given
[tex]n = 3[/tex]
[tex]B \to boys[/tex]
[tex]G \to girls[/tex]
[tex]P(G) = P(B) = 0.5[/tex] --- equal probability
See comment for complete question
Required:
[tex]P(At\ least\ one\ girl)[/tex]
To do this, we make use of complement rule:
[tex]P(At\ least\ one\ girl) = 1 - P(No\ girl)[/tex]
The event that there is no girl out of the 3 children is: B B B
And the probability is:
[tex]P(No\ Girl) = P(B) * P(B) * P(B)[/tex]
[tex]P(No\ Girl) = 0.5*0.5*0.5[/tex]
[tex]P(No\ Girl) = 0.125[/tex]
So:
[tex]P(At\ least\ one\ girl) = 1 - P(No\ girl)[/tex]
[tex]P(At\ least\ one\ girl) = 1 - 0.125[/tex]
[tex]P(At\ least\ one\ girl) = 0.875[/tex]
The number of runners in the London Marathon on 25th April, 2010 was 37 527.
Work out an estimate for the number of these runners whose birthday was on that day.
Answers
Answer:
Hi 34
Step-by-step explanation:
Hi
A loan of £1000 has a compound interest rate of 2.7% charged monthly. Express the original loan as a percentage of the total amount awed after 2 months if no payment are made
Answers
Answer:
£1054.729
Step-by-step explanation:
To find compound interest you need to use the equation 1000(1.027)^x.
To find the interest rate (1.027):
100 + 2.7 = 102.7
102.7 / 100 = 1.027
The value of x is the amount of months if no payment is made in this situation, so 2 would be the x value for this problem.
Hope this helps!
PLEASE HELP!!!! Choose the best graph that represents the linear equation: 4x + y = 0 Graph A On a coordinate plane, a line goes through (0, 0) and (1, 4). Graph B On a coordinate plane, a line goes through (0, 0) and (1, negative 4). Graph C On a coordinate plane, a line goes through (0, 0) and (4, negative 1). Graph D On a coordinate plane, a line goes through (0, 0) and (4, 1). a. Graph A c. Graph C b. Graph B d. Graph D Please select the best answer from the choices provided A B C D
Answers
Answer:
see graph...
B On a coordinate plane, a line goes through (0, 0) and (1, negative 4).
Step-by-step explanation:
Answer:
Step-by-step explanation:
To determine the graph that represents the linear equation 4x + y = 0, we need to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
Starting with the given equation:
4x + y = 0
Subtracting 4x from both sides:
y = -4x
Now we have the equation in the form y = mx + b, where m = -4 (the coefficient of x) and b = 0.
Looking at the given graphs:
Graph A: The line goes through (0, 0) and (1, 4). This graph does not represent the equation y = -4x, as the slope is 4, not -4.
Graph B: The line goes through (0, 0) and (1, -4). This graph does represent the equation y = -4x, as it has a slope of -4 and passes through the origin.
Graph C: The line goes through (0, 0) and (4, -1). This graph does not represent the equation y = -4x, as it does not have the correct slope.
Graph D: The line goes through (0, 0) and (4, 1). This graph does not represent the equation y = -4x, as it does not have the correct slope.
Therefore, the best graph that represents the linear equation 4x + y = 0 is:
b. Graph B
Find the equation of the lines in problem 1 (0,0) slope =2.
Answers
Answer:
y = 2x
Step-by-step explanation:
Given that , the line passes through the point (0,0) and has a slope of 2. So here we can use the point slope form of the line as ,
[tex]\implies y- y_1 = m( x - x_1) \\\\\implies y - 0 = 2( x - 0 ) \\\\\implies y = 2(x) \\\\\implies \underline{\underline{y = 2x }}[/tex]
Xét mô hình thu nhập quốc dân hai thành phần sau đây
dY/dt= 0.5(C + I – Y)
C = 0.6Y + 600
I = 0.2Y + 400.
Tìm biểu diễn của Y(t) với Y(0) = 9000. Mô hình này ổn định hay không ổn định?
Answers
Answer:
No se me puedes ayudar por fa
use the figure below to find the answer. find y.
Answers
9514 1404 393
Answer:
y = 7√2
Step-by-step explanation:
We are given the side opposite the angle, and we want to find the hypotenuse. The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(45°) = 7/y
y = 7/sin(45°) = 7/(1/√2)
y = 7√2
__
Additional comment
In this 45°-45°-90° "special" right triangle, the two legs are the same length. Thus, ...
x = 7