find the area of the shaded region. geometry please help if your good at it. will mark brainlist
Answers
Area of shaded region = area of circle - area of segment
(where "segment" refers to the unshaded region)
Area of circle = π (11.1 m)² ≈ 387.08 m²
The area of the segment is equal to the area of the sector that contains it, less the area of an isosceles triangle:
Area of segment = area of sector - area of triangle
130° is 13/36 of a full revolution of 360°. This is to say, the area of the sector with the central angle of 130° has a total area equal to 13/36 of the total area of the circle, so
Area of sector = 13/36 π (11.1 m)² ≈ 139.78 m²
Use the law of cosines to find the length of the chord (the unknown side of the triangle, call it x) :
x ² = (11.1 m)² + (11.1 m)² - 2 (11.1 m)² cos(130°)
x ² ≈ 404.82 m²
x = 20.12 m
Call this length the base of the triangle. Use a trigonometric relation to determine the corresponding altitude/height, call it y. With a vertex angle of 130°, the two congruent base angles of the triangle each measure (180° - 130°)/2 = 25°, so
sin(25°) = y / (11.1 m)
y = (11.1 m) sin(25°)
y ≈ 4.69 m
Then
Area of triangle = xy/2 ≈ 1/2 (20.12 m) (4.69 m) ≈ 47.19 m²
so that
Area of segment ≈ 139.78 m² - 47.19 m² ≈ 92.59 m²
Finally,
Area of shaded region ≈ 387.08 m² - 92.59 m² ≈ 294.49 m²
Related Questions
Mai wants to tile the floor of her kitchen. Each tile has an area of 1 square foot. The floor of her kitchen is 11 feet by 16 feet. How many tiles does she need?
This is what my kid asked me
Answers
Answer:
176 tiles
Steps by step:
Ford provides an option of a sunroof and side air bag package for its Windstar model. This package costs$1400. Ford wants todetermine the percentage of Windstar buyers who would pay $1400 extra for the sunroof and side air bags. How many Windstar buyers must be surveyed if we want to be 95% confident that the sample percentage is within four percentage points of the true percentage for all Windstar buyers
Answers
Answer:
601 buyers must be surveyed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How many Windstar buyers must be surveyed if we want to be 95% confident that the sample percentage is within four percentage points of the true percentage for all Windstar buyers?
We need to survey n buyers. n is found when [tex]M = 0.04[/tex]. We dont have an estimate for the proportion, so we use [tex]\pi = 0.5[/tex], which is when the largest sample will be needed.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]
[tex]n = 600.3[/tex]
Rounding up
601 buyers must be surveyed.
Be Strong Now, Because Things Will Get Better. It Might Be Stormy Now, But It Can't Rain Forever.
Answers
Answer:
aw ty but is there a question?
Step-by-step explanation:
How many cups are in 16 gallons?
64
256
128
2,048
Answers
Answer:
256 cups
Each gallon has 16 cups so 16 gallons would have 16*16 cups. 16*16 = 256
I need help I dont quite understand it
Answers
Explanation :-
20/5=4
8/2=4
They are both 4 so you will do
(5x-11)=4
-11+11=0
4+11=15
5x=15
15/5=3
x=3
Hope it helps
what time will a car traveling at an average speed of 30km/hr cover a distance of 45km
Answers
Answer:
1 1/2 hr
Step-by-step explanation:
hottest centralisation
Answers
Answer:
centralisation mean a direction explain that we often a high how well we cancan predict future actions of others.
Step-by-step explanation:
There are 12 counters. One third of the counters are yellow. How many counters are yellow?
Answers
Answer:
I think 4
Step-by-step explanation:
1/3 is how many are yellow. so if u do 12/3=4
Answer:
4
Step-by-step explanation:
1/3 is equivalent to 4×1 and 2/3 is equivalent to 4×2 and 3/3 is equivalent to 4×3 which equals 12 so there are 4 counters that are yellow.
The measures of two angles of a triangle are 22 and 85 degrees. Find the measure of the third angle.
Answers
Answer: [tex]73^{\circ}[/tex]
Step-by-step explanation:
Angles in a triangle add to 180 degrees.
The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees. What is the radious of the circle in inches? Show work. a. 5.7 b. 8 c. 64 d. 104
Answers
Answer: b. 8
Step-by-step explanation: I don’t have work
The radius of the circle in inches should be considered as the 8 when the measurement of the central angle is given.
Calculation of the radius of the circle;Since
The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees.
Also we know that
Area of the sector = [tex]65 / 360 *[/tex] Area of circle
[tex]104\pi \div 9 = 65\div 360 (\pi r^2)\\\\104\div 9 = 65\div 360 r^2\\\\[/tex]
r = 8
Hence, The radius of the circle in inches should be considered as the 8.
Learn more about circle here: https://brainly.com/question/15593101
complete the table by supplying the measure of inscribed angle and its intercepted arc
Answers
Answer/Step-by-step explanation:
Based on the inscribed angle theorem, any inscribed angle = ½ of its intercepted arc
Thus:
✔️Inscribed angle = 57°
Intercepted arc would be: 2*57 = 114°
✔️Intercepted arc would be: 123°
Inscribed angle = ½(123) = 61.5°
✔️Intercepted arc would be: 46°
Inscribed angle = ½(46) = 23°
✔️Inscribed angle = 69°
Intercepted arc would be: 2*69 = 138°
✔️Intercepted arc would be: 155°
Inscribed angle = ½(155) = 77.5°
Sarah has an $80 gift card to a store at the mall. She uses the gift card to buy a
shirt for $14, and also wants to buy some earrings for her and her friends. Each
pair of earrings cost $6. Which one of these inequalities represents the situation,
where e is the number of pairs of earrings Sarah can buy?
Answers
Answer:
80-14= 66
66
11x6= 66
So she can get 11 pairs of earrings
I think I’m doing this wrong but I hope this gives u an idea
Step-by-step explanation:
Answer:
She can buy 11 pairs
Step-by-step explanation:
$80-14=66
Each costs 6, so 66/6=11
Sarah can buy 11 pairs.
The line plot shows the amount of time (in hours) that Jodi practiced the flute over 8 days.
Answers
Answer:5 1/2 hours
Step-by-step explanation:
the price of a board game was reduced from $40 to $25. by what percentage was the price of the board game reduced?
Answers
The workers' union at a particular university is quite strong. About 96% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly of the workers interviewed are union members
Answers
Answer:
The probability that exaclt x of the members are union members from the n interviewed is given by:
[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]
Step-by-step explanation:
For each worker, there are only two possible outcomes. Either they are union members, or they are not. Members are independent of other members. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
About 96% of all workers employed by the university belong to the workers' union.
This means that [tex]p = 0.96[/tex]
What is the probability that exactly of the workers interviewed are union members
We want probability of x, from n workers interviewed. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]
Find the value of 2.
35°
xº
(x + 95)°
Answers
Answer:
x = 25°
Step-by-step explanation:
The sum of the interior angles of a triangle = 180°
180° = 35° + x° + x + 95°
2x° = 50°
x = 25°
Help! I will give you A 100 points
Answers
Answer:
3. A = (0,-3)
B = (4,-2)
C = (-1,1)
4. A = (0,-6)
B = (4,-5)
C = (-1,-2)
Step-by-step explanation:
3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).
4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.
So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).
I hope this helped you.
your answers:
3. A = (0,-3)
B = (4,-2)
C = (-1,1)
4. A = (0,-6)
B = (4,-5)
C = (-1,-2)
Determine the slope of the line whose equation is 2x-3y=5
Answers
Lisandra made 18.3 quarts of split pea soup for her restaurant. She wants to put the
same amount of soup into each of 15 containers.
How much soup should Lisandra put into each container?
Lisandra should put
quarts into each container.
Answers
Answer: 3.66
Step-by-step explanation:
18.3 divided by 15
How do you simplify 32/48
Answers
Answer:
2/3
Step-by-step explanation:
divide numerator and denominator by 16
32÷16=2
48÷16=3
answer is 2/3
Thus, 2/3 is the simplified fraction for 32/48 by using the GCD or HCF method. Thus, 2/3 is the simplified fraction for 32/48 by using the prime factorization method.
Help and show work please
Answers
Answer:
11111111 111 1 1 1 11
Step-by-step explanation:
Answer:
ok 1+1= 25 and add 3000 and you get 1
Step-by-step explanation:
What is the value of k if (1, 1) is a solution of 2x + 7y=k?
Answers
reasoning: just plug in 1 for x and 1 for y
3/2 inches snow fell in 3/4 of an hour which two statements are true
Answers
Answer:
I don't see the two statements
Step-by-step explanation:
Answer:
A and E Usa test prep
Step-by-step explanation:
I know it might be late by now but this is for the people who are searching for the answer for the future
mario is saving his money in order to buy a new video game, he decides to save $5 of his allowance every week. the equation he writes to describe the total amount of money he will save each week is shown below.
Answers
PLEASE ANSWER QUICKLY!
Kendra knits hats. She starts with 3 3/4 yards of yarn. After knitting for 5 1/4 hours, there is 1 1/8 yards of yarn left. At what rate does the amount of yarn change?
Answers
Answer:
The amount of yarn changes at 0.5 yards per hour.
Step-by-step explanation:
Since Kendra knits hats, and she starts with 3 3/4 yards of yarn, but after knitting for 5 1/4 hours, there is 1 1/8 yards of yarn left, to determine at what rate does the amount of yarn change the following calculation must be performed:
3/4 = 0.75
1/4 = 0.25
1/8 = 0.125
3.75 - 1.125 = 2.625
2.625 / 5.25 = 0.5
Thus, the amount of yarn changes at 0.5 yards per hour.
(ab)(6a^5b)(-ab) simplified please
Answers
Answer:
25b3a+93b+60a=30a2+b2
Step-by-step explanation:
work out the value of angle x 62 degrees
Answers
Answer:
180- (62*2)= x( angles opposite to equal sides)
180-124= x
x= 56
Step-by-step explanation:
How is basic math used in a business? Give me three examples.
Answers
Answer:
Understanding basic business math is necessary for profitable operations and accurate record keeping. Knowing how to add, subtract, multiply, divide, round and use percentages and fractions is the minimum you need to price your product and meet your budget.
Keeping it simple by asking for more help. Question 10.
Answers
Answer: I will go with A or you can choose d if you want
Step-by-step explanation:
URGENT!!!!!! What is the length of the major axis of the conic section shown below?
Answers
the length of the major axis is equal 2 · 7 = 14
Step-by-step explanation:
Nun