The length of the diagonal cannot be determined with the given information.
The question provides information about the perimeter of the rhombus and the lengths of two sides (15 and 30). However, this information is not sufficient to determine the length of the diagonal. In a rhombus, the diagonals are not necessarily equal in length unless specified.
Therefore, without additional information about the angles or side lengths of the rhombus, it is not possible to determine the length of the diagonal. The answer cannot be determined based on the information provided.
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Write your answer as a whole number and remainder.
31+4=R
Answer:
35
Step-by-step explanation:
Add 31 and 4 to get 35.
Given that f(x) = x2 – 13x + 36 and g(x) = x – 9, find (f + g)(x) and express the result in standard form.
Answer:
x² - 12x + 27
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= x² - 13x + 36 + x - 9 ← collect like terms
= x² - 12x + 27 ← in standard form
Five students in the school's Puzzle Club had a contest to see who could find the most words in a word search puzzle containing 50 words. Any word in the puzzle that the student did not find was missed. Which student missed exactly 10 words in the puzzle?
Answer:
Student 2.
Step-by-step explanation:
There are 50 words that need to be searched to complete the puzzle. There are total five students the puzzle club. All students are good at word search and are looking up for the words to complete the puzzle. Each student has to look up for 10 words. There are possible chances that a student may miss all of 10 words. Student 2 is not attentive at the puzzle club then there are high chances that he may miss all the words.
Answer:
Gabe!
According to the graph, Gabe sat at a 40 ,and since there were 50 total that means he missed exactly 10.
Find the measure of AD
Answer:
x=6
Step-by-step explanation:
triangles CDB and ADB are equal so we know that CD=AD and can write this equation:
3x+5 = 5x-7
subtract '3x' from each side:
5 = 2x-7
add 7 to each side:
12 = 2x
12/2 = x
6=x
a square that is 10in. on a side is placed inside a rectangle that has a width of 13in. and a length of 19in. what is the area of the region inside the rectangle that surrounds the square?
The area of the region inside the rectangle that surrounds the square is 147 square in.
The side of square is 10 in
Area of square is = side x side
A = 10 x 10
A = 100 square in.
Therefore, Area of square is 100
The length of rectangle is 19 in and width of rectangle is 13in
area of rectangle = l x w
A = 19 x 13
A = 247 square in.
Area of rectangle is 247 square in.
To calculate area of the region inside the rectangle that surrounds the square,
= A[rectangle] - A[square]
= 247 - 100
= 147 square in.
Therefore, The area of the region inside the rectangle that surrounds the square is 147 square in.
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Given f(x) = 3x – 1, solve for x when f(x) = -7.
Answer:
x = -2
Step-by-step explanation:
Given f(x) = 3x – 1
f(x) = -7
3x-1 = -7
3x = -7+1
3x = -6
x = -2
Answer:
x = -22
Step-by-step explanation:
given:
\(f(x) = 3x - 1\)
solve for x, when:
\(f(x) = -7\)
replace x with -7
~~~~~~~~~~~~
➡️ \( x = 3(-7) - 1 \)
➡️ \( x = -21 - 1 \)
➡️ \(x = -22 \)
Mrs Rani is 36 years old and her daughter is 4 years old. In how many years’ time
will she be three times her daughter’s age?
Answer:
MRS RANI 39 AND DAGHTER 7
Given y=f(x) when f(x) = 2 the graph of y=\(\sqrt{f(x)}\)
a. is undefined
b. intersects y=f(x) on the x axis
c. is above the graph of y=f(x)
d. intersects the graph of y=f(x)
e. is below the graph of y=f(x)
Answer:
e. is below the graph of y=f(x)
Step-by-step explanation:
The graph of y = √2 is below the graph of y = 2.
__
Both graphs are horizontal lines. √2 is about 1.414, so is less than 2. On a coordinate plane with values of y increasing in the "up" direction, y=1.414 will be graphed below y=2.
Solve the system of linear equations by substitution. 4x−2y=14 y=1/2x−1
4x−2y=14
Step-by-step explanation:
Answer:
The solution to the system of linear equations is x = 4, y = 1.
Step-by-step explanation:
Given system of linear equations:
\(\begin{cases}4x-2y=14\\y=\dfrac{1}{2}x-1\end{cases}\)
To solve the system of linear equations by the method of substitution, substitute the second equation into the first equation:
\(\implies 4x-2\left(\dfrac{1}{2}x-1\right)=14\)
Solve the equation for x:
\(\implies 4x-x+2=14\)
\(\implies 3x+2=14\)
\(\implies 3x=12\)
\(\implies x=4\)
Substitute the found value of x into the second equation and solve for y:
\(\implies y=\dfrac{1}{2}(4)-1\)
\(\implies y=2-1\)
\(\implies y=1\)
Therefore, the solution to the system of linear equations is:
x = 4, y = 1In each of problems 5 through 11, find the general solution of the given differential equation
The complete question is
"Find the general solution of the given differential equation
y''-y=0, y1(t)=e^t , y2(t)=cosht
The function \(y(t)=e^t\) is the solution of the given differential equation.
The function y(t)=cosht is the solution of given differential equation.
What is a function?
The function is a type of relation, or rule, that maps one input to specific single output.
Given;
\(y_1(t) = e^t\)
Given differential equations are,
y''-y = 0
So that,
\(y' (t) = e^t, y'' (t) = e^t\)
Substitute values in the given differential equation.
\(e^t -e^t=0\)
Therefore, the function \(y(t)=e^t\) is the solution of the given differential equation.
Another function;
\(y(t)=cosht\)
So that,
\(y"(t)=sinht\\\\y"(t)=cosht\)
Hence, function y(t)=cosht is solution of given differential equation.
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1.Make an industry analysis using either PESTEL or Five forces
model.
2. Prepare a strategic group map using updated information. Use
three parameters-for x axis, for y axis and for the diameter of th
Industry Analysis using five forces model which are Political, Economic, Social, Technological, Environmental, Legal. A strategic group map visually represents the competitive positioning of companies within an industry.
1. Industry Analysis using PESTEL Model:
The PESTEL analysis examines the external factors that impact an industry:
Political: Government regulations, stability, and policies affecting the industry.
Economic: Economic growth, inflation, exchange rates, and consumer purchasing power.
Social: Demographic trends, cultural factors, and consumer behavior.
Technological: Technological advancements, innovation, and automation in the industry.
Environmental: Environmental regulations, sustainability practices, and climate change impact.
Legal: Legal frameworks, industry-specific regulations, and intellectual property protection.
By conducting a PESTEL analysis, one can gain insights into the industry's overall environment, identify opportunities and threats, and understand the factors influencing its growth and competitiveness.
2. Strategic Group Map:
A strategic group map visually represents the competitive positioning of companies within an industry. It uses parameters to plot companies on an x and y axis, and the diameter of the circle represents their market share or another relevant metric.
Parameters for x-axis: Price range (e.g., low to high)
Parameters for y-axis: Product differentiation (e.g., basic to premium)
Diameter of the circle: Market share (e.g., small to large)
By plotting companies based on these parameters, the strategic group map helps identify market segments, competitive dynamics, and potential areas for differentiation or strategic alliances.
3. Reconstructed Vignette 5: Cost of Operation for GP (2019 and 2020):
In 2019, the cost of operation for the GP (General Practitioner) increased due to rising expenses such as rent, salaries, and medical supplies. This was influenced by factors such as inflation and increased demand for healthcare services.
In 2020, the COVID-19 pandemic significantly impacted the cost of operation for GPs. The costs surged due to additional expenses related to personal protective equipment (PPE), sanitation measures, and telehealth infrastructure. Simultaneously, some costs decreased as patient visits reduced temporarily.
The increased costs challenged GPs' profitability, especially for independent practitioners or smaller clinics with limited resources. Adapting to new operational requirements and investing in technology further added to the financial burden.
4. Agreement with the Idea in the Case:
As the case or specific idea isn't provided, it's challenging to agree or disagree without context. Please provide more information or details about the case or idea so that I can offer a justified answer based on logic or data.
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COMPLETE QUESTION - 1.Make an industry analysis using either PESTEL or Five forces model.
2. Prepare a strategic group map using updated information. Use three parameters-for x axis, for y axis and for the diameter of the circle.
3. Reconstruct Vignette 5: Cost of operation for GP. Make it for 2019 and 2020.
4. Do you agree with the idea described in the case? Justify your answer in brief (you may use logic or data in support of your answer).
pete runs an ice cream stand that also sells snow cones served in paper cones. the paper cones he usually uses have a diameter of 3 inches and a height of 4 inches, but his supplier is out of them. as a replacement, he purchases paper cones with a diameter of 4 inches and a height of 3 inches. how do the volumes of the original and replacement cones compare?
The answer is :
The volume of the replacement cone holds 4·π cubic inches more than the volume of the original cone.
The given measurements of the cones are;
The original cone's radius is, r₁ = 3 inchesThe original cone's height is, h₁ = 4 inchesThe replacement cone's radius is, r₂ = 4 inchesThe replacement cone's height is, h₂ = 3 inchesThe volume of cone, V = (\(\frac{1}{3}\))·π·r²·h
The volume of an original cone, V₁ = (\(\frac{1}{3}\))·π·r₁²·h₁
∴ V₁ = (\(\frac{1}{3}\)) × π × (3)² × 4 ≈ 37.7 in.³
The replacement cone's volume is, V₂ = (\(\frac{1}{3}\))·π·r₂²·h₂
∴ V₂ = (\(\frac{1}{3}\)) × π × (4)² × 3 ≈ 50.27 in.³
The volume ratio of the cone = V₁/V₂
∴ Volume ratio = (\(\frac{1}{3}\)) × π × (3)² × 4 in. /((\(\frac{1}{3}\)) × π × (4 )² × 3) = 3/4
The difference in volume of two cone, ΔV = V₂ - V₁ = (\(\frac{1}{3}\)) × π × ((4)² × 3- (3 )² × 4 = 4·π in.³
Therefore, the volume of the replacement cone is 4·π cubic inches more than the volume of the original cone.
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Write an integral that quantifies the change in the area of the surface of a cube when its side length triples from s unit to 3s units. 18 ) dx Evaluate the integra
The change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.
To quantify the change in the area of the surface of a cube when its side length triples from s units to 3s units, we can set up an integral.
Let's denote the side length of the cube as "x". The initial side length is "s" and the final side length is "3s". We want to find the change in surface area, which is the difference between the final surface area and the initial surface area.
The surface area of a cube with side length "x" is given by 6x², as each face of the cube has an area of x² and there are 6 faces.
The change in surface area can be calculated as:
ΔA = ∫(6x²) dx,
where the integral is taken from the initial side length "s" to the final side length "3s".
Now let's evaluate the integral:
∫(6x²) dx = 2x³ + C,
where C is the constant of integration.
To find the change in surface area, we substitute the limits of integration:
ΔA = [2x³]s to 3s
= 2(3s)³ - 2s³
= 2(27)s³ - 2s³
= 52s³
Therefore, the change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.
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A gym charges a one-time registration and monthly membership fee. The total cost of the gym membership is modeled by
where
(Select one)
is the one time registration fee and
(Select one)
is the cost for months of membership.
The slope of the equation is 25 and it represents a monthly membership charge and the y-intercept of the equation is 50 and it represents the charges of a one-time fee for a gym.
A gym charges a one-time fee of $50 and a monthly membership charge of $25 the total cost c of being a member of the gym is given by
c (t) = 50 + 25t
where c is the total cost you pay after being a member for t months.
The slope of the equation is 25 and it represents a monthly membership charge.
The y-intercept of the equation is 50 and it represents the charges of a one-time fee for a gym.
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Determine which of these are linear homogeneous recur-rence relations with constant coefficients. also, find thedegree of those that are
Recurrence relations are linear if the terms of the sequence only depend on the previous terms, and are homogeneous if the terms of the sequence are multiples of a constant. Recurrence relations with constant coefficients have the same coefficient for each term.
The Question is Incomplete. The following is generalised solution.
a_n = 3a_{n-1} + 4a_{n-2} - 5a_{n-3}
This is a linear homogeneous recurrence relation with constant coefficients. The degree of the recurrence relation is 3.
a_n = 5a_{n-1} - 6a_{n-2}
This is a linear homogeneous recurrence relation with constant coefficients. The degree of the recurrence relation is 2.
a_n = 3a_{n-1} + 4
This is not a linear homogeneous recurrence relation with constant coefficients, as the coefficient of a_{n-1} is a constant but the coefficient of the constant term (4) is not.
a_n = 2a_{n-1} - 6a_{n-2} + a_{n-3}
This is not a linear homogeneous recurrence relation with constant coefficients, as the coefficient of a_{n-3} is not a constant.
Thus, we have above conclusions that Recurrence relations are linear if the terms of the sequence only depend on the previous terms, and are homogeneous if the terms of the sequence are multiples of a constant. Recurrence relations with constant coefficients have the same coefficient for each term.
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A researcher suspects the mean trough (the lowest dosage of medication required to see clinical improvement of symptoms) level for a medication used to treat arthritis is higher than was previously reported in other studies. If previous studies found the mean trough level of the population to be 3.7 micrograms/mL, and the researcher conducts a study among 93 newly diagnosed arthritis patients and finds the mean trough to be 6.1 micrograms/mL, with a standard deviation of 2.4 micrograms/mL, calculate the z value for the test statistic.
The z-value for the test statistic is equal to 9.64.
How to calculate value of the z-value for the test statistic?In Mathematics and Statistics, the z-value for the test statistic of a population can be calculated by using the following mathematical equation;
\(t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }\)
Where:
x represents the sample mean.μ represents the mean.σ represents the standard deviation.n represents the number of subjects.By substituting the given parameters into the formula for z-test statistic, we have the following;
z-test statistic, t = (6.1 - 3.7)/(2.4/√93)
z-test statistic, t = (6.1 - 3.7)/(2.4/9.6436507609929549957600310474327)
z-test statistic, t = 2.4/0.24886840673530206440671047864342
z-test statistic, t = 9.64
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juan owns 7 pairs of pants, 5 shirts, 6 ties, and 8 jackets. how many different outfits can he wear to school if he must wear one of each item?
Answer: I believe he could wear 768 outfits
Step-by-step explanation: I had a similar question consisting of the same numbers.
what’s the value of x ?
are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
Adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
What is Adjacent angles?The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.
When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.
Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
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the table shows the edge length and volume of several different cubes. complete the table using the exact values.
The complete table of values is
Edge length (ft) 3 8 ∛85 ∛100 5 ∛147
Volume 27 64 85 100 125 147
The area of the square is 82 square cm
How to complete the table of valuesFrom the question, we have:
Edge length and volume of several different cubes
The relationship between the edge length and the volume of cubes is
Volume = Edge length³
Using the above as a guide, we have
3³ = 27
8³ = 64 and so on
The area of a squareHere, we have
Length = √82
The area is
Area = Length²
So, we have
Area =√82² = 82
hence, the area is 82
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can someone please help me find the value of X?
we have that
In an inscribed quadrilateral, opposite angles are supplemantary
that means
x+125=180 degrees
solve for x
x=55 degreesDate: November 15, 2021 Subject: Mathematics Topic: Consumer Mathematics Classwork Mrs. Allen bought a refrigerator on a payment plan. She made a deposit of $150 and paid the balance in 11 monthly payments of $118 each. a. Calculate the total amount of monthly payments. [2] b. Calculate the total cost of the refrigerator using the payment plan. [2]
Answer:
a) $1,298 b) $1,448
Step-by-step explanation:
a) total of monthly payments: 11 x 118 = $1,298
b ) total cost of refrigerator: deposit + sum of monthly payments
= 150 + 1298
= $1,448
experimental and quasi-experimental designs are similar in what aspect of the design?
Experimental and quasi-experimental designs share similarities in terms of their focus on investigating cause-and-effect relationships. These designs both involve manipulating variables and observing their effects on an outcome of interest.
However, they differ in terms of the level of control the researcher has over the assignment of participants to groups. Experimental designs are characterized by the random assignment of participants to different groups or conditions. This randomization helps ensure that any observed differences between groups can be attributed to the manipulation of the independent variable. The researcher has control over the assignment process, allowing for stronger causal inferences. Quasi-experimental designs, on the other hand, lack the random assignment of participants to groups. This may be due to practical or ethical reasons. Instead, participants are assigned to groups based on pre-existing characteristics, such as age or location. While quasi-experimental designs still allow for the examination of cause-and-effect relationships, they are considered less rigorous than experimental designs due to the potential for confounding variables. In summary, experimental and quasi-experimental designs both aim to investigate cause-and-effect relationships. They differ primarily in the level of control the researcher has over participant assignment. Experimental designs use random assignment for greater control, while quasi-experimental designs rely on pre-existing characteristics.
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Two loudspeakers, a and b, are driven by the same amplifier and emit sinusoidal waves in phase. Speaker b is 12. 0 m to the right of speaker a. The frequency of the waves emitted by each speaker is 600 hz. You are standing between the speakers, along the line connecting them, and are at a point of constructive interference. How far must you walk toward speaker b to move to a point of destructive interference?.
Based on the information provided, none of the given options (a, b, c, or d) accurately represents the percentage for both the United States and Canada.
In the United States, the percentage of 5-year-old children enrolled in group child care or preschool is not 100% (option d).
The actual percentage is lower, and it varies depending on factors such as location, socioeconomic status, and individual choices made by families.
The most recent available data from the National Center for Education Statistics (NCES) shows that for the 2019-2020 school year, around 55% of 5-year-olds in the United States were enrolled in preprimary programs, which includes preschool.
In Canada, the percentage of 5-year-old children enrolled in group child care or preschool is also not 100%.
The actual percentage is higher than in the United States, but it is not 100% (option d).
According to the most recent data available from Statistics Canada for the year 2019, approximately 76% of 5-year-olds were enrolled in some form of early childhood education, which includes child care and preschool programs.
Based on the information provided, none of the given options (a, b, c, or d) accurately represents the percentage for both the United States and Canada.
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The distance between two speakers is important in understanding the phenomenon of interference. In this scenario, we have two loudspeakers, A and B, emitting sinusoidal waves in phase. The frequency of the waves emitted by each speaker is 600 Hz. To move to a point of destructive interference, you need to walk a distance equal to an odd multiple of half the wavelength towards speaker B.
You are standing between the speakers along the line connecting them, and you are at a point of constructive interference.
Constructive interference occurs when the crests of the waves from both speakers align, resulting in a reinforcement of the sound waves. In this case, you are experiencing maximum sound intensity at your position. To move to a point of destructive interference, where the crests of one wave align with the troughs of the other wave, you need to walk towards speaker B.
To determine the distance you need to walk, we can use the concept of the path difference. The path difference is the difference in the distance traveled by the waves from each speaker to reach a given point. In the case of destructive interference, the path difference between the waves from speakers A and B must be equal to an odd multiple of half the wavelength.
Since the frequency is 600 Hz, the wavelength can be calculated using the formula λ = c/f, where c is the speed of sound (approximately 343 m/s) and f is the frequency. Thus, the wavelength is approximately 0.572 m.
For destructive interference, the path difference should be an odd multiple of half the wavelength. Therefore, you need to walk a distance equal to (2n + 1) * λ/2 towards speaker B, where n is an integer.
Let's consider a few examples:
1. If you walk 0.286 m (half the wavelength) towards speaker B, you will reach a point of destructive interference.
2. If you walk 0.572 m (one full wavelength) towards speaker B, you will also reach a point of destructive interference.
3. Similarly, if you walk 1.146 m (two full wavelengths) towards speaker B, you will reach a point of destructive interference.
In conclusion, to move to a point of destructive interference, you need to walk a distance equal to an odd multiple of half the wavelength towards speaker B.
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If tan m = one-half and tan n = â€"6, what is the exact value of tan(m n)?
Since tan m = 1/2 and tan n = -6, the precise value of tan (m+n) will be 3.51.
What is tangent?The tangent of an angle in trigonometry is the ratio of the lengths of the adjacent side to the opposing side. In order for the value of the cosine function to not be 0, it is the ratio of the sine and cosine functions of an acute angle. The law of tangent is another name for tan. The ratio of a triangle's opposing side to its adjacent side is known as the tangent formula for a right-angled triangle. The angle's sine to cosine ratio can also be used to represent the angle.
Here,
tan m= 1/2
tan n= -6
m=tan inverse(1/2)
n=tan inverse(-6)
m=26.565 degrees
n= -80.537 degrees
n=360-80.537
n=279.463 degree
tan (m+n)=tan(26.565+279.463)
tan 306.028=3.51
The exact value of tan (m+n) will be 3.51 as the value of tan m= 1/2 and tan n= -6.
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this and one more question
f(x) = 2(x - 3) + 4
For finding f(-8) just substitute the value of x as -8
f(-8) = 2{(-8) - 3} + 4
= 2{-11} + 4
= -22 + 4
= -18
Answer:
-18
Step-by-step explanation:
substitute x with -8
solve normally
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Subtract the binomials.
On simplifying (-3y2 − 8) − (-5y2 + 1), we get ----------
y2 − ------
. Lines are for the two answers
The simplified expression is 2y² - 9.
To subtract the binomials (-3y^2 - 8) - (-5y^2 + 1), we need to distribute the negative sign to the terms inside the second set of parentheses:
(-3y^2 - 8) - (-5y^2 + 1) = -3y^2 - 8 + 5y^2 - 1
Next, we combine like terms by adding or subtracting the coefficients of the same degree:
-3y^2 + 5y^2 - 8 - 1 = (5y^2 - 3y^2) + (-8 - 1) = 2y^2 - 9
Therefore, the simplified expression is 2y² - 9.
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An car drives 9 miles in 10 minutes at a constant speed what is the car speed in miles per hour
Answer:
54 miles per hour
Step-by-step explanation:
The boss told the management team some sad news too. “I’m cutting your hourly pay. You now get paid per project you finish. I will give you $10 for each finished schedule you create and $20 for each meeting you complete! You cannot make more than $100 per day! Also you must make more than twice as many schedules as meetings!”
Create a system of linear inequalities to model the situation above, where x is the number of schedules made and y is the number of meetings completed.
The system of linear inequalities to model the situation is 10x + 20y ≤ 100 and y > 2x
How to create a system of linear inequalities to model the situationFrom the question, we have the following parameters that can be used in our computation:
Each finished schedule = $10Each meeting = $20Amount to make = Not more than $100You must make more than twice as many schedules as meetingsUsing the following representations:
x = the number of schedules madey = the number of meetings completedWe have the following system of inequalities from the given statements
10x + 20y ≤ 100
y > 2x
Hence, the system of inequalities is 10x + 20y ≤ 100 and y > 2x
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Help pls, I don’t know how to do this
The area of the purple ring is 10,843.079 ft²
What is the area of the shaded region?Remember that for a circle of radius R the circumfernce is:
C = 2*3.14*R
Here we know that the circumference of the inner circle is C = 221.056 ft
Then the radius will be:
221.056 ft = 2*3.14*R
221.056 ft/(2*3.14) = R
35.2 ft = R
Then the radius of the outer circle is:
R' = 35.2ft + 33.3ft = 68.5 ft
The area of the ring is the diffence between the areas of the larger circle and the smaller circle, then:
area = 3.14*( (68.5 ft)² - (35.2 ft)²) = 10,843.079 ft²
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