Use a composite figure to estimate the area of the figure. The grid has
squares with side lengths of 1 cm.
-about 52.8 cm^2
-about 28.1 cm^2
-about 21.8 cm^2
-about 38.7 cm ^2
Answers
Using the composite figure with side length 1cm, the area is about 21.8\(cm^2\).
A composite figure is a figure that is made up of two or more simple shapes, such as rectangles, squares, triangles, circles, etc. These simple shapes are combined in such a way that they form a new shape.
A rectangle is a four-sided flat shape with opposite sides parallel and equal in length. It has four right angles (90-degree angles) and its interior angles sum up to 360 degrees.
Given that the grid has squares with side lengths of 1 cm. The area of the composite figure is approximate to the area of the rectangle plus the area of the semicircle at the top of the rectangle plus the semicircle at the right side of the rectangle.
Finding the area of the rectangle: A=(3*1)(4*1)=12\(cm^2\).
Finding the area of the semicircle at the top of the rectangle: A=1/2 π\((2*1)^2\)=2π \(cm^2\)
Finding the area of the semicircle at the right of the rectangle: A=1/2 π\((1.5)^2\)=1.125π \(cm^2\)
Total area =12+9.812πUse π=3.14=21.8 \(cm^2\)
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Related Questions
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A rectangular hotel room is 3 yards by 5 yards. The owner of the hotel wants to recarpet the
room with carpet that costs $80.00 per square yard. How much will it cost to recarpet the
room?
Answers
Answer:
1,200 will be your answer
joe wants to find all the four-letter words that begin and end with the same letter. how many combinations of letters satisfy this property?
Answers
Answer: There are $26$ choices for the first letter, $26$ for the second, and $26$ for the third. The last letter is determined by the first letter. Thus, there are $26^3 = \boxed{17576}$ such combinations.
Step-by-step explanation:
This means that picking a four-letter word that follows this rule is just like picking any 3 letter word (pick a 3 letter word and then add a "copy" of the first letter as a fourth letter)
so there's a total of 263 =17,576 combinations- 26 options for the first letter, 26 options for the second letter, and 26 options for the third letter.
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2) Mdm Tan takes two classes of students together for music lesson. If she gets them into groups of 6, there will be 19 students left without a group. If she gets them to form the same number of groups, but to get into groups of 8, there will be only 1 student in the last group. If one of the classes has 7 more students than the other, find the class size of the smaller class.
Answers
Answer: 25 students.
Step-by-step explanation:
Let's assume that the smaller class has x students. Then, the larger class must have x + 7 students.
If Mdm Tan gets the students into groups of 6, there will be 19 students left without a group. This means the total number of students must be 6n + 19 for some integer n:
x + x + 7 = 2x + 7 students (total number of students)
6n + 19 = 2x + 7 (19 students left over)
Solving for x gives x = 25. Therefore, the smaller class has 25 students and the larger class has 32 students.
If Mdm Tan gets the students to form groups of 8, there will be only 1 student in the last group. This means the total number of students must be 8m + 1 for some integer m:
x + x + 7 = 2x + 7 students (total number of students)
8m + 1 = 2x + 7 (1 student left over)
Solving for x using x = 25 gives 8m + 1 = 2(25) + 7 = 57, so m = 7. Therefore, there are 2 groups of 8 with 1 student left over, and the rest of the students form 7 groups of 8.
What was the distance of the first part of yuna's swim? round to the nearest tenth as needed. the distance in the first part of her swim was miles.
Answers
Using equations we now know that the distance of the first part of the Yuna's swim is 0.7 miles.
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.So, let 'x' be the distance of the 1st part and 'y' be the time in hours of the 1st part.
1st part: 1/4 = x/y (Equation A)2nd part: 0.8 = 1.9 - x/2 - y (Equation B)Plot the equations on the graph as follows:
(Refer to the graph attached below)
Be obtain:
x = 0.7 milesy = 0.5 hoursTherefore, using equations we now know that the distance of the first part of the Yuna's swim is 0.7 miles.
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The complete question is given below:
In training for a triathlon, Yuna swam 1.9 miles in the open ocean, which took her 2 hours. For the first part of her swim, she averaged 1.4 miles per hour. For the second part of her swim, she swam against the current and started to tire, so her average speed decreased to 0.8 mph. What was the distance of the first part of Yuna's swim? Round to the nearest tenth as needed. The distance in the first part of her swim was miles.
Answer:
.7
Step-by-step explanation:
B.
Determine the quadratic function given the following zeroes:
Answers
Answer: Read Sol.
Step-by-step explanation: To solve these, call each given zero = z. The function is when given a zero that is an integer (x-z1)(x-z2)(x-z3)... so on until all zeroes are used. This works for fractions also. But when you have irrationals, you will have to make sure each irrational solutions conjugate is there. So if a given zero is 2-sqrt3, then always 2+sqrt3 will also be a 0. Likewise, if given -4-sqrt7, then -4+sqrt7 will also always be a zero. Use this logic to solve them very quickly! I hope this helps!
Paige makes bracelets and sells them online for $15 and $20. She buys all of her supplies in bulk. The table shows her sales for the last 3 months. During the 3-month period represented by the table, she ordered supplies twice. Each time, she spent $292.58 on supplies.
Answers
How does the phrase "assembling it at super speed" (paragraph 6) emphasize the
annoyed mood of the passage?
Aby demonstrating how careless Jack is with machinery
by illustrating how quickly Jack wants to finish his work
by showing how jealous Jack is about the new computer
by describing how easily Jack can put a computer together
Answers
The phrase "assembling it at super speed" (paragraph 6) emphasizes the annoyed mood of the passage by; B. illustrating how quickly Jack wants to finish his work.
What is the phrase?The use of the term "assembling it at super speed" implies that Jack is rushing to finish the computer's assembly. This focus on speed suggests that Jack is agitated or frustrated, which fits with the passage's irritated tone.
It implies that Jack could be working too quickly and might be compromising precision or attention to detail which could add to his irritation. By emphasising Jack's Jack's desire to finish quickly the phrase emphasises his impatience and supports the passage's generally irritated tone.
Therefore the correct option is B.
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7x-49=y
Solve for x?
Answers
Add 49 to both sides
7x = y + 49
Diving both sides by 7
x =(y + 49)/7
The solution for x is x = (y + 49)/7.
Given that an equation 7x - 49 = y, we need to determine the equation in for of x,
To solve for x in the equation 7x - 49 = y, we'll isolate x on one side of the equation.
Here's the step-by-step process:
Start with the given equation: 7x - 49 = y.
Add 49 to both sides of the equation to isolate the term with x:
7x = y + 49.
Divide both sides of the equation by 7 to solve for x:
(7x)/7 = (y + 49)/7.
Simplify:
x = (y + 49)/7.
Therefore, the solution for x is x = (y + 49)/7.
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write the relation r given by the matrix as a set of ordered pairs the rows and columns are labeled in the order of w, x, y. and z. is the relation reflexive, symetric and transitive
Answers
The relation R represented by the given matrix is not reflexive and not symmetric, but it is transitive.
The matrix represents a relation where the rows and columns are labeled in the order of w, x, y, and z. By reading the matrix, we can identify the ordered pairs that make up the relation. In this case, the pairs are {(w, x), (x, x), (y, z)}.
To determine if the relation is reflexive, we check if every element in the set has a pair with itself. In this case, the pair (w, w) is missing, so the relation is not reflexive.
To check if the relation is symmetric, we examine if for every pair (a, b) in the set, the pair (b, a) is also present. Here, we see that the pair (x, y) is missing, while (y, x) is present, indicating that the relation is not symmetric.
Finally, to assess transitivity, we need to verify that if (a, b) and (b, c) are present in the set, then (a, c) should also be present. In this case, we don't have any such counterexamples, so the relation is transitive.
In summary, the relation R represented by the given matrix is not reflexive and not symmetric, but it is transitive.
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help for brainliest plsssssssssssss
Answers
Answer:
2,472 / 2 = 1,236
A rectangle with constant area has possible lengths and widths as shown in the table below. width vs. length of a rectangle width (w) length (l) 2 37.5 4 18.75 6 12.5 8 9.375 which equation can be used to find any corresponding length and width that fit the pattern in this table? l = startfraction k over w endfraction, where l is the length, w is the width, and k is a constant (w not-equals 0) l = m w b, where l is the length, w is the width, and m and b are constants l = k w superscript one-half, where l is the length, w is the width, and k is a constant l = a w squared, where l is the length, w is the width, and a is a constant
Answers
The equation, which is used to find any corresponding length and width that fit the pattern in the provided table is,
\(I=\dfrac{k}{w}\)
What is the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
\(A=a\times b\)
Here, (a)is the length of rectangle and (b) is the width of the rectangle.
A rectangle with constant area has possible lengths and widths as shown in the table below.
Width vs. Length of a rectangle
width (w) 2 4 6 8length (l) 37.5 18.75 12.5 9.375In the above table, the length of a rectangle is decreasing with increasing the width of a rectangle.
For such relation, the value of w should be inversely proportional to the length of it. The first option given as,
\(I=\dfrac{k}{w}\)
Here l is the length, w is the width, and k is a constant (w not-equals 0).
In this expression, the length of the rectangle is inversely proportional to the width of the rectangle.
Thus, the equation, which is used to find any corresponding length and width that fit the pattern in the provided table is,
\(I=\dfrac{k}{w}\)
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Answer:
a
Step-by-step explanation:
(8d + 6) - ( 4d +5)
Answers
Answer:
12d - 11
Step-by-step explanation:
I think.
Plz don't be mad if it's wrong
Help plz Its due today and I need help so if u would plz answer I would appreciate it
Answers
The circumference of a circular tablecloth is 160 inches, Will the tablecloth cover
a table with diameter 52 inches?
Answers
Answer:
D= 50.92 in
Step-by-step explanation:
Step one:
Given data
The circumference of a circular tablecloth is 160 inches
We want to know if the circular table cloth can also cover a table of diameter 52 in
Step two:
let us solve for the diameter of the table cloth given that the circumference is
160in
circumference
\(C= 2 \pi r\)
\(160= 2*3.142*r\\\\160= 6.284r\)
divide both sides by 6.284
\(160/6.284= r\\\\r=25.46 in\)
The diameter of the table cloth is
\(=25.46*2\\\\=50.92 in\)
The Table cloth cannot cover the table because the diameter of the cloth is not up to the diameter of the table
Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial. \[x^2 22x \underline{~~~~}.\]
Answers
The square of a binomial, the value of the constant \(c\) should be equal to half the coefficient of the linear term squared, which in this case is \(c = \left(\frac{22}{2}\right)^2 = 121\). Therefore, the constant that needs to be filled in is 121.
To express the quadratic expression \(x^2 + 22x + c\) as the square of a binomial, we need to find a binomial of the form \((x + a)^2\) that expands to \(x^2 + 22x + c\). Expanding \((x + a)^2\) gives \(x^2 + 2ax + a^2\). Comparing the coefficients of the expanded binomial and the given quadratic expression, we can equate the linear terms to find \(2ax = 22x\), which gives \(a = 11\). Substituting this value of \(a\) back into the expanded binomial, we have \(x^2 + 22x + 121\). Therefore, the constant that needs to be filled in is 121.
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-4×(-2)[2×(-6)+3×(2×6-4-4)]
Answers
\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)
➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]
➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]
➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]
➝ -4 × (-2) [2 × (-6) + 3 × (4) ]
➝ -4 × (-2) [2 × (-6) + 12 ]
➝ -4 × (-2) [(-12) + 12 ]
➝ -4 × (-2) [0]
➝ -4 × 0
➝ 0
Answer:
-4*-2
Step-by-step explanation:
the multiple of both side is 4*2*,26+*32*--=6 44
(04.04)
Which graph represents a linear function? (4 points)
Group of answer choices
A coordinate plane is shown with a line passing through the x-axis at negative 2 and the y-axis at negative 6.
A coordinate plane is shown with a curved line that starts in the bottom left area of the graph, passing through the point -1 comma -5, curving to pass through the y-axis at 2.5, then curving up again to pass through the point 1 comma 5
A coordinate plane is shown with a parabola graphed in an upward U shape. The bottom of the parabola touches the y-axis at -10 and curves upward on both sides
A coordinate plane is shown with a wavy line that sits on the x-axis and moves across the graph in even up and down waves.
Answers
A linear function is one of the most simplest form of functions. As the name "linear" indicates, a linear function is simply a line, more precisely a straight line.
So it is in the form of f(x) = ax + b.
Lets now check the possible answers : (second answer :) "a curved line", not correct.
(third answer:) "a parabola", this is not a straight line, so not correct.
(fourth answer:) "a wavy line", not a straight line, so not correct.
The only correct answer is the first one : a line passing through the x axis at negative 2 and the y axis at negative 6.
the p-value is less than the significance level. (a) we have a type i error (b) we have a type ii error (c) we may have a type i error (d) we may have a type ii error
Answers
If the p-value less than the significance level then we have a type i error.
We know that if your P-value is less than the chosen significance level then you reject the null hypothesis i,e. accept that your sample gives reasonable evidence to support the alternative hypothesis.
Im statistics, a type i error means rejecting the null hypothesis when it's actually true, while type ii error means failing to reject the null hypothesis when it's actually false.
The chance that you commit type i errors is known as the type i error rate or significance level (p-value). This number is conventionally and arbitrarily set to o.o5 or 5%. Type ii errors are like "false negatives", an incorrect rejection that a variation in a test has made no statistically significant difference.
The probability of making a type i error is represented by alpha level, which is the p-value below which you reject the null hypothesis.
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A triangle has side lengths of (5.8k+3.3m)(5.8k+3.3m) centimeters, (8.4k-2.4n)(8.4k−2.4n) centimeters, and (7.9n-4.4m)(7.9n−4.4m) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answers
Answer:
(14.2k - 1.1m + 5.5n) cm
Step-by-step explanation:
Perimeter of a triangle = side A + side B + side C
Side A = (5.8k+3.3m)cm
Side B = (8.4k-2.4n)cm
Side C = (7.9n-4.4m)cm
Perimeter of a triangle = side A + side B + side C
= (5.8k+3.3m) + (8.4k-2.4n) + (7.9n-4.4m)
= 5.8k + 3.3m + 8.4k - 2.4n + 7.9n - 4.4m
Collect like terms
= 5.8k + 8.4k + 3.3m - 4.4m - 2.4n + 7.9n
= (14.2k - 1.1m + 5.5n) cm
Therefore, the perimeter of the triangle = (14.2k - 1.1m + 5.5n) cm
billy leaves school to go home. he walks 6 blocks north and then 11 blocks west. approximately how far is jake from the school?
Answers
Answer:
17 blocks?
Step-by-step explanation:
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer: 2.5, 5.3
Step-by-step explanation:
\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)
alan's camping troop is raising money for a camping trip. the camping troop is selling boxes of popcorn, b, for $3.75 each. each camper starts with a credit of $25. to make the first deposit on the camping trip, alan total sales, f(b), needs to be at least $1100. write an inequality to represent the problem:
Answers
Answer:
$3.75b + $25 >= $1100
Step-by-step explanation:
Please help it’s timed
Answers
Answer:
50 (b)
Step-by-step explanation:
It's an acute angle
I NEED HELP XDDD what is 36 = 4x = ?
Answers
Answer:
x = 9
Step-by-step explanation:
divide both sides of the equation by 4 to isolate the x variable according to algerba. Hope it helps!
Answer:
=9
Step-by-step explanation:
9 times 4 is 36
How
do you solve this for coefficients?
g(x) = { 1₁ -1 - T≤x≤0 осхь п 1 f(x+2TT) = g(x)
Answers
The coefficient for the interval -T ≤ x ≤ 0 in the function g(x) is 1. However, the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x). Without additional information about f(x), we cannot determine its coefficient for that interval.
To solve for the coefficients in the function g(x), we need to consider the conditions given:
g(x) = { 1, -1, -T ≤ x ≤ 0
{ 1, f(x + 2π) = g(x)
We have two pieces to the function g(x), one for the interval -T ≤ x ≤ 0 and another for the interval 0 ≤ x ≤ 2π.
For the interval -T ≤ x ≤ 0, we are given that g(x) = 1, so the coefficient for this interval is 1.
For the interval 0 ≤ x ≤ 2π, we are given that f(x + 2π) = g(x). This means that the function g(x) is equal to the function f(x) shifted by 2π. Since f(x) is not specified, we cannot determine the coefficient for this interval without additional information about f(x).
The coefficient for the interval -T ≤ x ≤ 0 is 1, but the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x).
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can someone solve n/7-12=5n+5 step by step pls
Answers
Answer:
n=-7/2 I hate asking for things but can i have brainliest im trying to rank up.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
n/7−12=5n+5
1/7n+−12=5n+5
1/7n−12=5n+5
Step 2: Subtract 5n from both sides.
1/7n−12−5n=5n+5−5n
-34/7n−12=5
Step 3: Add 12 to both sides.
-34/7n−12+12=5+12
-34/7n=17
Step 4: Multiply both sides by 7/(-34).
(7/-34)*(-34/7n)=(7/34)*(17)
how many solutions are there to square root x =9
Answers
Answer:
There are 2 solutions to square root x = 9
They are 3, and -3
Step-by-step explanation:
The square root of x=9 has 2 solutions,
The square root means, for a given number, (in our case 9) what number times itself equals the given number,
Or, squaring (i.e multiplying with itself) what number would give the given number,
so, we have to find the solutions to \(\sqrt{9}\)
since we know that,
\((3)(3) = 9\\and,\\(-3)(-3) = 9\)
hence if we square either 3 or -3, we get 9
Hence the solutions are 3, and -3
Question 5 Buying a year's worth of textbooks for college can be expensive! Consider a large population of college students for whom the distribution of the annual cost of textbooks is slightly skewed to the left. Here is the five-number summary for the annual cost of textbooks for this population: Minimum 80 Quartile 1 215 Median 335 Quartile 3380 Maximum 440 Suppose we take random samples of size 32 from this population and calculate the interquartile range (IQR) for each of our samples. Below is a dotplot of the IQR from 50 such samples. 60 80 100 120 140 160 180 200 220 240 280 Sample IQR A) Briefly explain what the dot at 240 represents. (3 points) B) Is the sample IQR is an unbiased estimator of the population IQR? Justify your answer.(5 points)
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
Minimum 80
Quartile 1 (Q) 215
Median 335
Quartile 3 (Q3) 380
Maximum 440
Population IQR
IQR = Q3 - Q1 = 380 - 215 = 165
A.)
Dot at 240
The dot plot shows the sample distribution of interquartile range, hence, all the points on the plot represents the interquartile range for 50 different samples.
Hence, the dot at 240 represent the interquartile range value of one of the 50 sample distributions.
B.)
According to the sampling distribution chart, the graph form a bell shaped curve and loos fairly symmetric, hence we could conclude thatvthe mean IQR of the sampling distribution is about 165.
Since population IQR is also 165 ; we can conclude that sampling distribution OF IQR is an unbiased estimator of population IQR.
In this exercise we have to use the knowledge of statistics to estimate a population, in this way we can say that:
A)At 240 show the interquartile range worth of individual of the 50 sample distributions.
B)Since inhabitants of a place IQR is in addition to 165 ; we can decide that sampling classification OF IQR exist an unbiased estimator of inhabitants of a place IQR.
Given the data :
Minimum: 80Quartile 1 (Q): 215Median: 335Quartile 3 (Q3): 380Maximum: 440Population IQR: 165A) So by setting our first stat point at 240, we can say that:
The dot plot shows the sample allocation of interquartile range, therefore, all the points in contact the plot show the interquartile range for 50 various samples.
B)According to the try classification chart, the graph form a signaling object or sound form curve and loos justly symmetric, therefore we preserve fruit decide that the mean IQR of the taste distribution exist about 165.
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Mr. Davis took his car to the repair shop. His total bill was $253. He was charged $48 for parts, and $5 for shop materials.
The rest of the charge was for labor. If it took four hours to fix the car, how much does the shop charge per hour for labor?
Answers
Answer:
33.333333
Step-by-step explanation:
(253-(48+5))/6
(253-53)/6
200/6
33.333333
Which numbers are a distance of 3 units from 12 on a number line?
Select each correct answer.
Answers
Answer:
9 and 15
Step-by-step explanation:
ans should be 9 and 15
i dun really understand what this qns wants u to find really bad qns to test