Applying the area of a rectangle, the width of the walkway (x) is: 7 feet.
What is the Area of a Rectangle?
Area of a rectangle = (length)(width)
Total area of the pool and walkway = 621 sq. ft
Length of the pool and walkway = 13 + 2x
Width of the pool and walkway = 9 + 2x
Thus, we will have the equation of the total area as:
(13 + 2x)(9 + 2x) = 300
4x² + 44x + 117 = 621
4x² + 44x + 117 - 621 = 0
4x² + 44x - 504 = 0
Factorize
(x - 7)(x+18) = 0
x = 7
or
x = -18
The width, x, cannot be negative, so, the width of the walkway (x) would be 7 feet.
Learn more about the area of a rectangle on:
brainly.com/question/25292087
#SPJ1
The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same number of slices, giving them a total of 24 slices. The Wilson family ordrs several lare pizzas from the same pizza restaurant. They also cut the pizzas so that all their pizzas have the same number of slices. For the Wilson family the equation y=10x represents the relationship where x represents the number of pizzas and y represents the number of total slices. Which statements best describe the pizzas bought by the Hernandez and Wilson familiies? Select two options.
Answer:
The CORRECT anser is B and D
Step-by-step explanation:
Hope this helps I just took the quiz!
the interval of time between when a vector takes an infectious meal, and when it begins to transmit the pathogen, is referred to as the:
the interval of time between when a vector takes an infectious meal, and when it begins to transmit the pathogen, is referred to as the extrinsic incubation period.
The incubation period refers to the duration of time between the invasion by an infectious pathogen and the start (first appearance) of symptoms of the disease in question. The host enters the symptomatic phase after the incubation period is over. Additionally, after infection, the host develops the ability to spread infections to other people, or they become infectious or communicable. The host person may or may not be contagious throughout the incubation phase, depending on the disease. The dynamics of disease transmission depend on the incubation period since it establishes the timing of case detection in relation to infection. This aids in assessing the success of symptomatic surveillance-based control methods.
the interval of time between when a vector takes an infectious meal, and when it begins to transmit the pathogen, is referred to as the extrinsic incubation period.
The complete question is-
The interval of time between when a vector takes an infectious meal, and when it begins to transmit the pathogen, is referred to as the: (a) vectorial capacity; (b) intrinsic incubation period; (c) vectorial competence; (d) extrinsic incubation period.
learn more about the incubation period,
https://brainly.com/question/28830992
#SPJ4
solve the inequality for u.
Answer:
u ≤ 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
32 ≥ 4u
Step 2: Solve for u
Divide both sides by 4: 8 ≥ uRewrite: u ≤ 8Here we see that any value u smaller than or equal to 8 would work as a solution to the inequality.
The stair is inches high.
Answer:
12
Step-by-step explanation:
What is the value of
( - ) x 43 - ?
A. 6
16
B. 10
C. 35
D. 40
Naomi works in a music shop and earns $42 per day. She earns an extra $2 for each CD she sells. If Naomi wants to earn at least $80 per day, which inequality shows the minimum number of CDs, n, that she should sell?
42 + 2n ≤ 80, so n ≤ 19
42 + 2n ≥ 80, so n ≥ 19
42 + 2n ≥ 80, so n ≥ 36
42 + 2n ≤ 80, so n ≤ 36
Answer:
B. 42 + 2n ≥ 80, so n ≥ 19
Step-by-step explanation:
42 + 2n ≥ 80
Subtract 42 from both sides
2n ≥ 38
Divide both sides by 2
n ≥ 19
Hope I helped :)
Please consider Brainliest :)
Answer:
42 + 2n ≥ 80, so n ≥ 19
Step-by-step explanation:
If she wants to make at least $80 the she would need to sell a number of cedis in addition to her $42
That is:
Let n be the number of CDs
42 + 2n
and to get at least $80, (at least meaning $80 dollars or more)
So that will be:
42 + 2n ≥ 80
So to get at least 80 dollars, she'll have to sell 19 CDs
Why 19 CDs? 42 + 2n which is 42 + 2(19) = 80
Which is why 42 + 2n ≥ 80, so n ≥ 19
f(x+4x)-S (X) Evaluate lim Ax-+0 for the function f(x) = 2x - 5. Show the work and simplification ΔΥ Find the value of "a" and "b" for which the limit exists both as x approaches 1 and as x approach
The limits approach different finite values as x approaches the same value in the domain. Hence the given limit doesn't exist.
Given f(x) = 2x - 5.
We need to evaluate lim Ax-+0 for the function f(x+4x)-S (X).
Also, we need to find the value of "a" and "b" for which the limit exists both as x approaches 1 and as x approaches $\frac{1}{2}$ .
Solution: Given function is f(x+4x)-S (X)
Now, f(x+4x) = 2(x+4x)-5 = 10x-5Also, S(X) = x + 4 + 1/x
Take the limit as Ax-+0lim 10x-5 - x - 4 - 1/x
We know that as x approaches 0, 1/x will tend to infinity and hence limit will be infinity as well.
Therefore, the given limit doesn't exist.
As we know, $f(x)=2x-5$ and we have to find the value of "a" and "b" for which the limit exists both as x approaches 1 and as x approaches $\frac{1}{2}$ .
Therefore, we have to find the values of a and b such that f(1) and f($\frac{1}{2}$) are finite and equal when evaluated at the same limit.
So, for x = 1;
f(x) = 2(1)-5
= -3And for
x = $\frac{1}{2}$;
f(x) = 2($\frac{1}{2}$) - 5 = -4
To know more about the domain
https://brainly.com/question/26098895
#SPJ11
As monte carlo simulation is essentially statistical sampling, the larger the number of trials used, the more precise is the result.
a. True
b. False
True, Monte Carlo simulation is used for statistical sampling where larger number of trials are used for the precise result.
Step by Step Explanation:
Monte Carlo simulation is a mathematical technique or statistical sampling which is used to predict all possible outcomes of any uncertain event.The larger the number of trials more is the accuracy as it is based on the past data to predict the future outcomes.example : For the prediction of first month sale of any new launch product you can revise more number of old data.It help to calculate probability more accurately.Therefore, it is true to have more number of trials in Monte Carlo simulation statistical sampling for precise result.
Learn more about statistical sampling here
brainly.com/question/29490427
#SPJ4
The Earth is approximately 8.0 x 103 miles in diameter, from pole to pole.What number is the distance equivalent to? A- 800 thousand milesB- 80 thousand milesC- 8 thousand milesD- .8 thousand miles
Answer
Option C is correct.
8.0 × 10³ miles = 8 thousand miles.
Explanation
The number given in scientific notation is
8.0 × 10³ miles
= 8.0 × 1000 miles
= 8000 miles
= 8 thousand miles.
Hope this Helps!!!
What does the numerator of the fraction 4/3 mean?
Choose 1 answer:
(Choice A)
There is 4 parts per whole.
-
(Choice B)
There are 3 parts per whole.
-
(Choice C)
We are counting 3 parts
-
(Choice D)
We are counting 4 parts.
choice A bcs 4 is the numerator and 3 is the denominator
What reasons are there to make implied premises explicit?
Making implied premises explicit is important for ensuring clarity, transparency, evidence-based arguments, logical rigor, better communication, and improved decision making
There are several reasons to make implied premises explicit:
Clarity: Implied premises can sometimes be ambiguous or unclear. Making them explicit can help to avoid confusion and ensure that all parties involved understand the argument.
Transparency: Implied premises can hide the underlying assumptions of an argument. Making them explicit can increase the transparency of the argument and allow for greater scrutiny of its validity.
Evidence: Implied premises are often based on unstated assumptions or beliefs. Making them explicit can allow for the introduction of evidence to support or challenge these assumptions.
Logical rigor: Implied premises can make an argument appear stronger than it actually is. By making them explicit, the argument can be evaluated more rigorously and any weaknesses or gaps can be identified.
Better communication: Implied premises can be difficult to detect, especially in complex arguments. By making them explicit, the argument becomes easier to follow and understand, facilitating better communication between the parties involved.
Improved decision making: When the premises of an argument are made explicit, it becomes easier to weigh the pros and cons and make informed decisions based on the evidence presented.
To learn more about premises explicit, visit
brainly.com/question/20713944#
#SPJ11
Two reading programs for fourth graders were compared. 64 stu- dents went through Program A the experimental program and showed an average yearly reading growth of 1.2 with a standard deviation of .26. 100 student were placed in program B a more traditional program. These students had an average yearly reading growth of 1.00 years with a standard deviation of .28. (a) Are these differences significant at a 5% level to conclude that program A leads to higher average yearly reading growth ? (b) What is the P-value of the test results? (c) Should program A be adopted? (d) What is the probability of a type 2 error if pA - MB = .1.
a) the calculated t-value (2.344) is greater than the critical t-value (1.984), we reject the null hypothesis. b) The p-value associated with a t-value of 2.344 is approximately 0.010 (two-tailed test).
(a) To determine if the differences in average yearly reading growth between Program A and Program B are significant at a 5% level, we can conduct a two-sample t-test.
Let's define our null hypothesis (H0) as "there is no significant difference in average yearly reading growth between Program A and Program B" and the alternative hypothesis (H1) as "Program A leads to higher average yearly reading growth than Program B."
We have the following information:
For Program A:
Sample size (na) = 64
Sample mean (xA) = 1.2
Sample standard deviation (sA) = 0.26
For Program B:
Sample size (nb) = 100
Sample mean (xB) = 1.0
Sample standard deviation (sB) = 0.28
To calculate the test statistic, we use the formula:
t = (xA - xB) / sqrt((sA^2 / na) + (sB^2 / nb))
Substituting the values, we have:
t = (1.2 - 1.0) / sqrt((0.26^2 / 64) + (0.28^2 / 100))
t ≈ 2.344
Next, we determine the critical t-value corresponding to a 5% significance level and degrees of freedom (df) equal to the smaller sample size minus 1 (df = min(na-1, nb-1)). Using a t-table or statistical software, we find the critical t-value for a two-tailed test to be approximately ±1.984.
(b) To calculate the p-value, we compare the calculated t-value to the t-distribution. The p-value is the probability of observing a t-value as extreme as the one calculated, assuming the null hypothesis is true.
From the t-distribution with df = min(na-1, nb-1), we find the probability corresponding to a t-value of 2.344. This probability corresponds to the p-value.
(c) Based on the results of the hypothesis test, where we rejected the null hypothesis, we can conclude that there is evidence to suggest that Program A leads to higher average yearly reading growth compared to Program B.
(d) To calculate the probability of a Type II error (β), we need additional information such as the significance level (α) and the effect size. The effect size is defined as the difference in means divided by the standard deviation. In this case, the effect size is (xA - xB) / sqrt((sA^2 + sB^2) / 2).
Let's assume α = 0.05 and the effect size (xA - xB) / sqrt((sA^2 + sB^2) / 2) = 0.1. Using statistical software or a power calculator, we can calculate the probability of a Type II error (β) given these values.
Without the specific values of α and the effect size, we cannot provide an exact calculation for the probability of a Type II error. However, by increasing the sample size, we can generally reduce the probability of a Type II error.
In summary, the differences in average yearly reading growth between Program A and Program B are significant at a 5% level, suggesting that Program A leads to higher average yearly reading growth. The p-value of the test results is approximately 0.010. Based on these findings, it may be recommended to adopt Program A over Program B. The probability of a Type II error (β) cannot be calculated without specific values of α and the effect size.
Learn more about null hypothesis at: brainly.com/question/30821298
#SPJ11
Find the product of −35∙−1.5
for both fractions: write equivalent fractions that have the least denominator 7/8 and 3/4
Reduce each expression to a polynomial
((y-b)^(2))/(y-b+1)+(y-b)/(y-b+1)
The given expression ((y-b)²/(y-b+1)+(y-b)/(y-b+1) after being reduced to a polynomial, can be represented as y-b.
In order to reduce the given equation to a polynomial, we are required to simplify and combine like terms. First, we can simplify the expression in the numerator by expanding the square:
((y-b)²/(y-b+1) = (y-b)(y-b)/(y-b+1) = (y-b)²/(y-b+1)
Now, we can combine the two terms in the equation by finding a common denominator:
(y-b)²/(y-b+1) + (y-b)/(y-b+1) = [(y-b)² + (y-b)]/(y-b+1)
Next, we can combine the terms in the numerator by factoring out (y-b):
[(y-b)² + (y-b)]/(y-b+1) = (y-b)(y-b+1)/(y-b+1)
Finally, we can cancel out the common factor of (y-b+1) in the numerator and denominator to get the polynomial:
(y-b)(y-b+1)/(y-b+1) = y-b
Therefore, the equation ((y-b)²)/(y-b+1)+(y-b)/(y-b+1) after being simplified, is equivalent to the polynomial y-b.
Learn more about polynomials :
https://brainly.com/question/30127172
#SPJ4
Woof chow dog food company believes that it has a market share of 25 percent. it surveys n100 dog owners and ask whether or not woof chow is their regular brand of dog food, and 23 people say yes. based upon this information, what is the critical value if the hypothesis is to be tested at the 0.05 level of significance?
On solving the provided question, we can say that Considering that the test statistic inside the lower tail the rejection zone, the null hypothesis should be rejected.
What is null hypothesis?A null hypothesis is a kind of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Using sample data, hypotheses are tested to determine their viability. Sometimes known as "zero" and symbolized by H0. Researchers start off with the presumption that there is a link between the variables. In contrast, the null hypothesis claims that there is no such association. Although the null hypothesis may not appear noteworthy, it is a crucial component of research.
\(H0:p=0.25\) (null hypothesis)
\(H0:p \neq 0.25\) (alternative hypothesis)
Do not reject the null because the test statistic\((-1.2) is >\) \(the critical value (-1.7531)\)
Considering that the test statistic is inside the lower tail of the rejection zone, the null hypothesis should be rejected.
To know more about null hypothesis visit
https://brainly.com/question/28920252
#SPJ4
test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
To learn more about equal variances: -brainly.com/question/30777199
#SPJ11
To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
To learn more about equal variances: -brainly.com/question/30777199
#SPJ11
if ab is dilated by a scale factor of 2 centered at (3,5), what are the coordinates of the endpoints of its image, a9b9 ? (1) a9(27,5) and b9(9,1) (3) a9(26,8) and b9(10,4) (2) a9(21,6) and b9(7,4) (4) a9(29,3) and b9(7,21)
To find the coordinates of the endpoints of the image A'B' (A9B9) after dilation of AB by a scale factor of 2 centered at (3,5), follow these steps:
Step 1: Use the given scale factor (2) and center of dilation (3,5).
Step 2: Apply the dilation formula to the coordinates of the original points A and B. The formula for dilation with scale factor k centered at (h,k) is:
A'(x', y') = (h + k(x - h), k + k(y - k))
Step 3: Substitute the given options for A9 and B9 into the dilation formula and check which pair of coordinates satisfy the formula.
After applying the formula, it is determined that the coordinates of the endpoints of the image A9B9 after dilation with a scale factor of 2 centered at (3,5) are:
A9(21, 6) and B9(7, 4).
Option (2) is correct.
Learn more about coordinates :
https://brainly.com/question/12617743
#SPJ11
which one is it??.......
Answer:
what?
Step-by-step explanation:
3 wait no 2 yeah wait s#!t it's 5 ahh actually I'm not to sure sorry
Have a nice day
the Marked price of watch is rupees 12000 discount of 15% is allowed and 10% VAT is added on it find the selling price of a watch with VAT
Step-by-step explanation:
selling price after 15%discount
=12000-(15/100)*12000
=12000-1800
=10200
after 10% VAT
S.P=110% of 10200
=(110/100)*10200
=11220
The volume of the right triangular prism is 19 in . If DE is equal to 16 inches and EF is equal to 24 inches, what is the length of EB
The length of EB is approximately 0.099 inches.
To solve this problem, we can use the formula for the volume of a right triangular prism, which is:
V = (1/2)bh × l
where V is the volume, b is the base of the triangle, h is the height of the triangle, and l is the length of the prism.
We are given that the volume of the prism is 19 in^3, so we can plug in that value:
19 = (1/2)(DE)(EF) × EB
Substituting the given values for DE and EF:
19 = (1/2)(16)(24) × EB
Simplifying:
19 = 192 × EB
Dividing both sides by 192:
EB = 19/192
So the length of EB is approximately 0.099 inches.
for such more question on length
https://brainly.com/question/20339811
#SPJ11
Ava graphs the function h(x) = x2 4. victor graphs the function g(x) = (x 4)2. which statements are true regarding the two graphs? select three options.
Regarding the graphs of the functions \(h(x) = x^2 - 4\) and \(g(x) = (x - 4)^2,\) the following statements are true:
The vertex of the graph of h(x) is located at (0, -4), while the vertex of the graph of g(x) is located at (4, 0).
The vertex represents the minimum or maximum point of the parabola.
The graph of h(x) opens upwards, indicating a positive coefficient for the \(x^2\) term, while the graph of g(x) also opens upwards due to the positive coefficient of the squared term \((x - 4)^2.\)
The graph of h(x) intersects the x-axis at x = -2 and x = 2, indicating the solutions to the equation \(x^2 - 4 = 0.\)
On the other hand, the graph of g(x) intersects the x-axis at x = 4, representing the solution to the equation \((x - 4)^2 = 0.\)
It's important to note that the graph of h(x) is a standard quadratic function, while the graph of g(x) is a quadratic function with a horizontal shift of 4 units to the right.
The differences in their vertex, x-intercepts, and shape indicate these variations between the two functions.
For similar question on functions.
https://brainly.com/question/29631554
#SPJ8
hello
Michael cycled 15 km at an average speed of 18 km/h.
How many minutes did his journey take?
Answer:
50 minutes
Step-by-step explanation:
Amount of time his journey took = 15km ÷ 18km/h
= 0.833h (to 3sf)
= 50 minutes
What percent of newborn African lions weigh less than 3 pounds? b. What percent of newborn African lions weigh more than 3.8 pounds?
The weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.
To determine the percentage of newborn African lions that weigh less than 3 pounds and the percentage that weigh more than 3.8 pounds, we would need statistical data on the weight distribution of newborn African lions. Since we don't have that information, we cannot provide the exact percentages.
However, if we assume that the weights of newborn African lions follow a normal distribution, we can use the properties of the standard normal distribution to make an estimation.
For the percentage of newborn African lions weighing less than 3 pounds:
We would need to know the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3 pounds and then find the corresponding percentage using a standard normal distribution table. Without this information, we cannot provide an accurate estimation.
For the percentage of newborn African lions weighing more than 3.8 pounds:
Similarly, we would need the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3.8 pounds and find the corresponding percentage using a standard normal distribution table. Without the required information, we cannot provide a specific estimation.
Please note that the weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.
To know more about percentages visit
https://brainly.com/question/32197511
#SPJ11
The points $P,$ $Q,$ and $R$ are represented by the complex numbers $z,$ $(1 i) z,$ and $2 \overline{z},$ respectively, where $|z|
The possible values for\($r$ are $r = 0$ and $r = \frac{1}{2}$.\)
The answer is that \($|z|$\) can be either 0 or \($\frac{1}{2}$\).
To find the answer, we need to solve for \($z$\) using the given information.
Let's start by setting up the equations. We know that \($P$\) is represented by\($z$\\$Q$\)
is represented by \($(1+i)z$\), and \($R$\) is represented by
\($2\overline{z}$\)
Since\($|z| < 1$\) we can write \($z$ \\as $z = re ^ {i\theta}$\)
where\($r<1$\) and \($\theta$\) is the argument of \($z$\)
Now let's substitute the representations o\(f $P$, $Q$, and $R$ using $z$:\)
\($P = z = re^{i\theta}$\)
\($Q = (1+i)z = (1+i)re^{i\theta}$\)
\($R = 2\overline{z} = 2re^{-i\theta}$\)
Since \($Q$\) is the conjugate of \($R$\), we can equate the real and imaginary parts of \($Q$\) and \($R$\):
\($Re(Q) = Re(R)$ and $Im(Q) = -Im(R)$\)
Expanding these equations gives us:
\($r\cos\theta = 2r\cos\theta$ (equation 1)\)
\($r\sin\theta = -2r\sin\theta$ (equation 2)\)
From equation 1, we have \($r\cos\theta = 2r\cos\theta$\), which simplifies to \($r = 0$ or $r = \frac{1}{2}$\).
From equation 2, we have \($r\sin\theta = -2r\sin\theta$, which simplifies to $0 = 0$.\)
Since the second equation is always true, it doesn't give us any additional information.
Therefore, the possible values for\($r$ are $r = 0$ and $r = \frac{1}{2}$.\)
The main answer is that \($|z|$\) can be either 0 or \($\frac{1}{2}$\).
To know more about conjugate visit:
brainly.com/question/29081052
#SPJ11
The points $P,$ $Q,$ and $R$ are represented by the complex numbers $z,$ $(1 i) z,$ and $2 \overline{z},$ respectively, where $|z|
Write a regular expression for the following regular languages: a. Σ={a,b} and the language L of all words of the form one a followed by some number of ( possibly zero) of b's. b. Σ={a,b} and the language L of all words of the form some positive number of a's followed by exactly one b. c. Σ={a,b} and the language L which is of the set of all strings of a′s and b′s that have at least two letters, that begin and end with one a, and that have nothing but b′s inside ( if anything at all). d. Σ={0,1} and the language L of all strings containing exactly two 0 's e. Σ={0,1} and the language L of all strings containing at least two 0′s f. Σ={0,1} and the language L of all strings that do not begin with 01
Σ={0,1} and the language L of all strings that do not begin with 01.
Regex = (1|0)*(0|ε).
Regular expressions for the following regular languages:
a. Σ={a,b} and the language L of all words of the form one a followed by some number of ( possibly zero) of b's.
Regex = a(b*).b.
Σ={a,b} and the language L of all words of the form some positive number of a's followed by exactly one b.
Regex = a+(b).c. Σ={a,b} and the language L which is of the set of all strings of a′s and b′s that have at least two letters, that begin and end with one a, and that have nothing but b′s inside ( if anything at all).
Regex = a(bb*)*a. or, a(ba*b)*b.
Σ={0,1} and the language L of all strings containing exactly two 0 's.
Regex = (1|0)*0(1|0)*0(1|0)*.e. Σ={0,1} and the language L of all strings containing at least two 0′s.Regex = (1|0)*0(1|0)*0(1|0)*.f.
Σ={0,1} and the language L of all strings that do not begin with 01.
Regex = (1|0)*(0|ε).
To know more about strings, visit:
https://brainly.com/question/30099412
#SPJ11
What could be the value of x in the number sentence? 6 + x < 10
Answer:
the answer is 3 or less dhevvshsbdvdd
The perimeter of a rectangular book is 16.84 cm. find the length of the rectangular book (in decimals) whose width is 18/7 cm. estimate to the nearest tenths place.
The length of the rectangular book is 5.8cm
In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°); or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square. The term oblong is occasionally used to refer to a non-square rectangle.
The perimeter of a rectangle is found by adding up the length of all four sides. The formula for the perimeter of a rectangle is,
P = length + breadth + length + breadth. Or, P = 2(length + breadth)
Given:
Perimeter = 16.84 cm.
length = 18/7 cm
substituting in the formula we get
16.84 = 2( 18/7 + width)
8.42 = 18/7 + width
5.8 cm = width
Thus the length of the rectangular book is 5.8cm.
Learn more about rectangles here :
https://brainly.com/question/15019502
#SPJ4
In Foundations of Art, students are cutting circular paper plates into sectors. If the diameter of the plate is 22 cm, determine the central anglenecessary to create a sector with an area of 220 cm². Round to nearest thousandth if necessary.
STEP 1
Interpret question to make sense geometrically.
We have circular shapes, thus, we are dealing with circles and these circles have their area, however, we seek the angle with which when used to cut the circle will give us an area of 220 sq cm.
Note that this is a fraction of the total area of the circle.
This will be illustrated diagrammatically below
Area of a sector is given as:
\(\begin{gathered} \frac{\theta}{360}\times\pi(\frac{d^2}{4}) \\ \text{The question requires us to get the angle }\theta\text{ after equationg the expression to 220 sq cm} \end{gathered}\)STEP 2
Find unknown
\(\begin{gathered} \text{Making }\theta\text{ the subject of the formulae gives} \\ \theta=\frac{220\times360\times4}{\pi\times22^2}=208.348^o \end{gathered}\)The ci
^^ please help!! i will give brainilest .