This figure is made up of a triangle and a semicircle.
What is the area of this figure?
Use 3.14 for pi. Round only your final answer to the nearest tenth.
Enter your answer as a decimal
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Given is a composite figure where we have a semicircle and a triangle.
To find the area of the semicircle, we need diameter of the circle which is the distance between two given points (2,4) and (2,-3). So the diameter is 4-(-3) = 7 and radius would be 3.5 units.
Area of circle = π·r² = 3.14 × (3.5)² = 38.465 squared units.
So, area of semicircle = 38.465 ÷ 2 = 19.2325 squared units.
To find the area of the triangle, we need base and height of the triangle. The base is same as diameter = 7 and the height would be distance between given point (5,0) and (2,0), so height is 5-2 = 3.
Area of triangle [tex] =\frac{1}{2} bh = \frac{1}{2} (7)(3) = 10.5 [/tex] 1/2 * 7 * 3 = 10.5 squared units.
Total area = Area of triangle + Area of semicircle = 10.5 + 19.2325 = 29.7325 squared units.
So, final answer is 29.7325 squared units.
Related Questions
Why do you switch the inequality sign when multiplying or dividing by a negative?
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Sasha and Mona practiced swimming every day. They increased the number of minutes of swimming every week as described below: Sasha: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week. Mona: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week. Which statement best describes the methods used by Sasha and Mona to increase the time they practiced swimming? Mona's method is linear because the number of minutes increased by an equal factor every week. Sasha's method is exponential because it increases by an equal number every week. Mona's method is exponential because it increases by a fixed factor, and Sasha's method is linear because it increases by a fixed number. Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.
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Final answer:
Sasha's method of increasing swimming time is exponential, doubling each week, while Mona's method is linear, adding a fixed number of 10 minutes each week.
Explanation:
The question asks about the methods Sasha and Mona used to increase their swimming practice times over several weeks. Sasha's method is exponential because each week, the number of minutes she practices doubles, which is a fixed factor of increase. Every week, Sasha's swimming time increases by a factor of 2. Therefore, her increase is exponential. Mona's method is linear because she increases her swimming time by a fixed number of 10 minutes each week. Her increments are consistent and add the same amount each time, defining a linear pattern of increase.
Subtract and polynomials (3x^2+5x+7)-(-4x^2+3x-6 please help ASAP
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Steps:
Rewrite Problem
Change all signs in the second parenthesis to the opposite sign
Combine Like Terms
Is this statement true? Why?
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Let's find the inverse function:
We apply arctan to both sides:
arctan (y) = arctan (tan (x- (pi / 2)))
arctan (y) = (x- (pi / 2)
Then, we clear x:
x = arctan (y) + (pi / 2)
Finally we make the change y = x
y = arctan (x) + (pi / 2)
Answer:
False, y = tan ^ -1 (x + (pi / 2)) is not the inverse of y = tan (x- (pi / 2)).
The inverse is:
y= arctan (x) + (pi / 2)
PLEASE someone help me on this!!
BRAINLIEST AVAILABLE
Answers
hhhhhhheeeeeeeeellllllllllpppppppppppp
Answers
sine (60) = (z) / (a + b)
Clearing z we have:
z = (a + b) * sine (60)
Substituting:
z = (15) * sine (60)
z = 15 * (root (3) / (2))
Answer:
z = 15 * (root (3) / (2))
Trucks are delivering gravel to a construction site each truck hold 7.5 cubic yards of gravel. The weight of 1 cubic yard of gravel is 1.48 tons. The gravel will be placed in containers that each hold 3.7 tons of gravel. how many contaoners of this size are needed to hold all the gravel from one truck
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If the weight of 1 yard³ is 1.48 tons, then the weight of 7.5 yards³ is:
w=7.5x1.48 tons
w=11.1 tons
The problem says that the gravel will be placed in containers that each hold 3.7 tons of gravel,so, If they need 1 cotainer to place 3.7 tons, how many containers they need to place 11.1 tons?
1 container-------3.7 tons of gravel
x-------11.1 tons of gravel
x=(11.1x1)/3.7
x=11.1/3.7
x=3 containers
How many containers of this size are needed to hold all the gravel from one truck?
The answer is: 3 containers.
If rectangle WXYZ is slid three units to the right what will be the coordinates of point W?
A) (0, 2)
B) (3, -1)
C) (3, 5)
D) (6, 2)
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The correct answer is (D) (6, 2).
To find the new coordinates of point W after sliding the rectangle three units to the right, you need to add 3 to the x-coordinate of point W.
Given the initial coordinates of rectangle WXYZ, if the point W is at (x, y), then after sliding three units to the right, the new coordinates of W will be (x + 3, y).
Therefore, the correct answer is (D) (6, 2).
Isabella spends $4.87 on paintbrushes and paint. How many of each item does she buy? Explain how you found your answer. Paint brush=$0.95Paint=$0.75
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Let
x-----------------> number of paintbrushes----------- > $0.95 each
y---------------- > number of jar of paint-------------- > $0.99 each
we know that
0.95x+0.99y = $4.87
using a graph tool
the solution will be a pair of coordinates that are whole numbers -- > see the attached figure
the solution is the point (2,3)
x=2---------------------- > number of paintbrushes
y=3---------------------- > number of jar of paint
the answer is
number of paintbrushes=2
number of jar of paint=3
Is my answer correct ?
I believe it’s either (B) or (C)
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------------------------------------------------------------------
Divide 77 over 4 to get
77/4 = 19 remainder 1
The remainder 1 tells us that i^77 = i^1 = i
So in short, i^77 = i
a/b ∙ b/2a
or a≠0, b≠0
So a/b is a fraction. Then multiply by b/2a.
The a's and the b's aren't equal to zero
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a/b*b/2a= ab/2ab or 1/a
1/a*b/2a=b/3a
Which ordered pair is the best estimate for the solution of the system of equations?
y=−12x+4
y=12x−3
(7.5, 0.5)
(7, 0.5)
(7, 1)
(7, 0)
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The 2nd selection is appropriate.
Answer:
hope this helps :)
Determine whether the given measures can be the lengths of the sides of a triangle. write yes or no. explain. 9.2, 14.5, 17.1
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h²=a²+b²
h=√(a²+b²)
h: It is the hypotenuse (The opposite side of the right angle and the longest side of the triangle).
a and b: They are the legs (The sides that form the right angle).
The result of h=√(a²+b²), should be 17.1 (The longest side given in the problem). So, let's substitute the values of the legs into the Pythagorean equation:
h=√(a²+b²)
h=√((9.2)²+(14.5)²)
h=17.1
Therefore, the answer is:
Yes, the given measures can be the lengths of the sides of a triangle.
Answer with explanation:
If the length of three segments are, 9.2, 14.5 and 17.1 ,it can be sides of triangle if , Sum of two segments is greater than the third segment.
1.→ 9.2 +14.5=23.7 >17.1
2.→ 14.5 +17.1=41.6 > 9.2
3.→17.1 +9.2=26.3 >14.5
As, sum of any two segment is greater than third segment, so the following measurements can be the the lengths of the sides of a triangle.
Rachael is a nurse. She earns 12 vacation days after working 768 hours. How many hours does Rachael need to work to earn 1 vacation day? Remember to include units! (Example: 12 hours)
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The sales of homes in a new development have been increasing. In January, 8 homes were sold, in February, 12 homes were sold. In March, 16 homes were sold. This pattern continued for the remainder of the year.
What is the explicit rule that can be used to find the number of homes sold in the nth month of the year?
an=4n−4
an=−4n−4
an=4n+4
an=−4n+4
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a1 = 8
For the second month we have:
a2 = 12
For the third month we have:
a3 = 16
Let's assume that n is the number of months.
The rule that meets the number of homes sold is:
an = 4n + 4
We observe for example that for the third month: (n = 3)
a3 = 4 (3) +4
a3 = 12 + 4
a3 = 16 (result that we already knew according to the statement).
Answer:
an = 4n + 4
Answer:
Answer:
an = 4n + 4
Step-by-step explanation:
If x = −4 is a zero of the polynomial function f(x) = 2x3 + 13x2 + 23x + 12, which of the following is another zero of f(x)
A. X=4
B. X=-1
C. X= 1
D. X=12
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A “zero” is the number x has to be for the equation to equal 0. So, looking at the equation, x HAS to be negative, because the whole equation has +’s, which will never amount to 0 unless X is a negative number.
You can also plug -1 in for X as so:
2(-1)3 + 13(-1)2 + 23(-1) + 12
Which simplifies:
-2 +13 - 23 + 12
Which equals 0
I hope this Helps!
The graph of y = srtqx is translated. The translation is defined by (x + 1, y – 2). Which is the graph of the translated image?
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Answer with explanation:
The graph of Original function is:
[tex]y=\sqrt{x}[/tex]
The function is translated by the rule (x+1, y-2).
After translation Point (a,b) is obtained.
a=x+1
,→x=a-1
b=y-2
→y=b+2
Substituting the value of x and y in the above function and obtaining the graph of the translated image
[tex]\rightarrow b+2=\sqrt{a-1}\\\\\text{Replacing a and b by x and y}\\\\\rightarrow y+2=\sqrt{x-1}[/tex]
Answer:
Graph B
Step-by-step explanation:
hope this helps!
(plz mark as brainliest if correct)
In which of the following cases would you most likely buy a point when closing on a home loan?
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Final answer:
Buying a point during a home loan closing is most likely to make sense if interest rates have fallen, you plan to stay in the home long term, and you have ample cash for upfront costs, as this could result in significant savings over the life of the loan.
Explanation:
When considering the question of whether you would most likely buy a point when closing on a home loan, the main factors to consider are the interest rates and the duration for which you plan to hold the loan. Buying a point refers to paying an upfront fee to lower your mortgage interest rate, which is attractive if you plan to stay in the home for a long period, as the savings on interest payments could outweigh the initial cost. You would be more inclined to buy a point if:
Interest rates in the economy have fallen, and you want to lock in a lower rate for the duration of your loan.
The available cash for upfront costs is sufficient to cover the cost of buying points without detrimentally impacting other financial commitments.
The assessment is that staying in the property for a long duration will allow for greater cumulated savings due to the reduced interest payments over time.
These scenarios are more likely to justify the transaction costs of purchasing a home with an upfront payment to buy points, thus securing a lower interest rate for the mortgage.
What is the product? (2x-1)(x+4)
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Answer:
[tex]2x^{2}+7x-4[/tex]
Step-by-step explanation:
We are given to find the product of (2x-1) and (x+4).
So, we have,
[tex](2x-1)(x+4)[/tex] = [tex]2x^{2}+8x-x-4[/tex] = [tex]2x^{2}+7x-4[/tex].
Thus, the product of (2x-1) and (x+4) is [tex]2x^{2}+7x-4[/tex].
i.e. [tex](2x-1)(x+4)[/tex] = [tex]2x^{2}+7x-4[/tex].
what is perimeter is that you count the out side of a shape
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These data show the ring sizes for a sample of 8 men. 12 10 11.5 11.5 12 9 9 11 What is the best approximation of the standard deviation for the ring size data?
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The mean (average) = (12 +10+ 11.5 +11.5 +12 +9 +9 +11)/8
= 10.75
Standard deviation is the square root of variance, it is one of the measures of central dispersion, that is a measure of by how much the values in the data set are likely to differ from the mean.
In this case, Standard deviation, s= √(∑(x-m)²)/(n-1)
= 1.172
Thus, best approximation of the standard deviation is 1.17
Answer:
The answer should be 1.10
Step-by-step explanation:
The reason being is that I took the test. I hope you do well iA
Denise and Stacey went to a carnival. The admission fee was $6 per person. Each ride at the carnival costs c dollars. The game booths charged g dollars for each game. Both Denise and Stacey went on 7 rides each. Stacey played 3 games, while Denise played 2 games. Which expression represents the total amount of money that Denise and Stacey spent at the carnival? 7c + 5g + 6 7c + 5g + 12 14c + 5g + 6 14c + 5g + 12
Answers
This makes a total of $12,-
(Since 6 x 2 = 12).
Next up, the ride at the carnival. This costs c dollars.
This makes a total of 14c
(Since they have made a total of 14 rides (7 each), and we multiply it by 'c')
Finally the game boots, which costs g dollars a game.
Denise and Stacey played a total of 5 games, hence the total cost of the boots will be 5g.
The total cost will therefore be: 14c + 5g + 12
This makes the fourth answer (in your question) the correct answer.
The correct answer is D. 14c + 5g + 12.
The entry fee is $6 each. 6 + 6 = 12
Each girl goes on 7 rides which cost c dollars. 7c + 7c = 14c
The number of games both girls play totals 5. And each game costs g dollars. 2g + 3g = 5g.
Add all the costs up and you get 14c + 5g + 12 as their total cost for going to a carnival.
Five times what number plus 10 equals 20?
A) -6
B) 2
C) 4
D) 6
Answers
Answer:
2
Step-by-step explanation:
Five times 2 plus 10 will be equal to 20. Hence, option B is correct.
What is an arithmetic operation?Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations. Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the data provided in the question,
The equation according to the statement will be,
Let the number be x.
5x + 10 = 20
5x = 20 - 10
x = 10/5
x = 2
Therefore, the number is 2.
To know more about arithmetic operations:
https://brainly.com/question/13585407
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blake is signing a lease for a studio apartment that rents for $425/month. how much will blake pay to move in if he must pay the first and last months rent and a security deposit equal to 50% of his monthly rent?
Answers
Total amount he needs to pay is $1,062.5
Sum of money based problem:Given that;
Rent of apartment = $425 / month
Security deposit = 50% monthly rent
Find:
Total amount he needs to pay
Computation:
Total amount of rent he needs to pay = 425 + 425 + 50%[425]
Total amount he needs to pay = 425 + 425 + 212.5
Total amount he needs to pay = $1,062.5
Find out more information about ' Rent'
https://brainly.com/question/8433458?referrer=searchResults
Alice had 4 1/4 pounds of walnuts at the beginning of the week. At the end of the week, she had 2 3/4 pounds. How much has she used
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11/4 (2 3/4 as an improper fraction)
17/4-11/4=6/4=1 1/2
she used 1 1/2 pounds
What are debit cards?
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So if you are much more richer, and do not want to pay interest rates, you might want to get a debit card
hope this helps
How many terms are in 8y+7z
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there are 2 terms.
hope it helps
Graph image 1 for translation. one unit to the right
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(x, y) = (x + 1, y)
We have then:
M (-3, 1) ---> M '(- 2, 1)
O (1, 4) ---> O '(2, 4)
P (3, -1) ----> P '(4, -1)
Answer:
The new vertices are
M '(- 2, 1)
O '(2, 4)
P '(4, -1)
Graph five (last from left to right) is the correct one.
the equation of the quadratic function represented by the graph is y=a(x-3)^2-1. What is the value of a?
Plz help I don't understand how to solve.
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Answer:
Value of a is 2
Step-by-step explanation:
Given the equation of the quadratic function represented by the graph is [tex]y=a(x-3)^2-1[/tex]. we have to find the value of a.
As seen in the figure, parabola cuts the graph at point (2,1) implies point (2,1) is one of the solution of the given quadratic equation i.e of given parabola.
∴ Point (2,1) satisfies the given equation.
Hence, we can find the value of a by putting the value of x and y, we get
[tex]1=a(2-3)^2-1[/tex]
⇒ [tex]2=a[/tex]
Hence, the value of a is 2
Answer:
2
Step-by-step explanation:
Have a good day :)
a cylinder shaped paint can has a diameter of 10 cm and a height of 30. what is the volume of the paint can when it is 30% full? use 3.14 to approximate pi
WILL pick brainliest if correct!!!
Answers
.. = 3.14*(5 cm)^2*(0.30*30 cm)
.. = 706.5 cm^3