A wire is first bent into the shape of a rectangle with width 5 cm and length 7 cm. Then the wire is unbent and reshaped into a square. What is the length of a side of the square.

Answers

Answer 1

The perimeter P of the given rectangle is

$\begin{gathered} P_{\text{rectangle}}=5+5+7+7 \\ P_{\text{rectangle}}=24\text{ cm} \end{gathered}$

Since the wire is the same, this perimeter must be preserved. Let L be the side of the square, then its perimeter is given by

$P_{\text{square}}=4\times L$

since

$P_{\text{square}}=P_{\text{rectangle}}$

we get

$24=4\times L$

then, L is given by

$\begin{gathered} L=\frac{24}{4} \\ L=6\operatorname{cm} \end{gathered}$

then, the lenght of a side of the square measure 6cm

Related Questions

Examine the details of the chi‑square test and conclude in context. There is good evidence (cite P-value) of an association between treatment and outcome in the population of women just treated for a UTI. There were substantially fewer than expected women getting a UTI recurrence in the study among those drinking cranberry juice daily. The conditions for inference are not met. There is good evidence (cite P-value) of an association between treatment and outcome in the population of women just treated for a UTI. There were substantially fewer than expected women getting a UTI recurrence among those abstaining from both drinks. There is good evidence (cite P-value) of an association between treatment and outcome in the population of women just treated for a UTI. There were substantially fewer than expected women getting a UTI recurrence among those drinking Lactobacillus drink. There is good evidence (cite P-value) that, in the population of women just treated for a UTI, women drinking cranberry juice daily have fewer UTI recurrences, on average. Question Source: Baldi 4e - The Practice Of Statistics

Answers

Answer:

Step-by-step explanation:

We will examine and outline the details of this chi-square test and then conclude in context.

(A) A population of women have just been treated for a urinary tract infection.

(B) Since the chi-square test is done for categorical variables, we will pick out the variable involved here.

That variable is: "UTI Recurrence"

Hence, we are looking at the recurrence of a urinary tract infection, among samples of the population of women who have recently been treated of it.

SAMPLE 1: Those drinking cranberry juice daily

SAMPLE 2: Those taking lactobacillus drink

SAMPLE 3: Those abstaining from both drinks (the placebo sample)

(D) The result of the test gave good evidence that SAMPLE 1 has the lowest value of the categorical variable involved; as compared to the values from SAMPLE 2 and SAMPLE 3.

In other words, on the average (average here is equal to mode or frequency of occurrence of the variable), the lowest number of UTI recurrences stems from Sample 1, as compared to the numbers of UTI recurrences in the other two samples

Two friends decide to go on a four-hour ride on off-road vehicles through mountainous terrain. The graph represents their elevation (in hundreds of feet) as a function of time (in hours). The ride started 2,000 feet above sea level, so for the purposes of this problem, assume the x-axis represents an elevation of 2,000 feet.

Find the key features of the graph. That is, find the extrema, zeros, end behavior, increasing and decreasing intervals, and positive and negative intervals.

Answers

Answer:

Extrema: relative minimum (1.25,-3.25), relative maximums (3.25,10) and (0,0)

Zeros: (0,0), (2,0), and (4,0)

End behavior: As x approaches infinity, the function approaches negative infinity. As x approaches negative infinity, the function approaches negative infinity.

Intervals of increase and decrease: increasing on (-∞, 0) and (1.25, 3.25), decreasing on (0, 1.25) and (3.25, ∞)

Positive and negative intervals: positive on (2, 4), negative on (-∞, 0), (0, 2), and (4, ∞)

Answer:

The elevation is positive on the interval (2,4) .

The elevation reaches a relative maximum of about 1,000 feet above the starting point.

The domain of the function is 0<x<4 .

Step-by-step explanation:

edmentum

Convert 4/16 to a decimal.
0.1
O
0.25
0.5
0.75

Answers

Answer:

0.25

How to Solve:

Take the denominator of 4/16 and find a number to make it 10, 100, any one followed by zeroes:

16 x 6.25 = 100

Do the same to the numerator:

4 x 6.25 = 25

Now, take 25 and take a decimal point two spaces to the right:

0.25

Rewrite the following to show that the opposite of a sum is the sum of the opposites.
-(1/4 +6)

Answers

Answer:

1/4+6

Step-by-step explanation:

1/4-6

Hope this helps

Find the slope of the tangent line to the curve defined by 4x2+5xy+y4=370
at the point (−9,−1)

Answers

Answer:

The slope of the tangent line to the curve at the given point is -11/7.

Step-by-step explanation:

Differentiation is an algebraic process that finds the gradient (slope) of a curve. At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.

Given function:

$4x^2+5xy+y^4=370$

To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.

Begin by placing d/dx in front of each term of the equation:

$\dfrac{\text{d}}{\text{d}x}4x^2+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=\dfrac{\text{d}}{\text{d}x}370$

Differentiate the terms in x only (and constant terms):

$\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=0$

Use the chain rule to differentiate terms in y only. In practice, this means differentiate with respect to y, and place dy/dx at the end:

$\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+4y^3\dfrac{\text{d}y}{\text{d}x}=0$

Use the product rule to differentiate terms in both x and y.

$\boxed{\dfrac{\text{d}}{\text{d}x}u(x)v(y)=u(x)\dfrac{\text{d}}{\text{d}x}v(y)+v(y)\dfrac{\text{d}}{\text{d}x}u(x)}$

$\implies 8x+\left(5x\dfrac{\text{d}}{\text{d}x}y+y\dfrac{\text{d}}{\text{d}x}5x\right)+4y^3\dfrac{\text{d}y}{\text{d}x}=0$

$\implies 8x+5x\dfrac{\text{d}y}{\text{d}x}+5y+4y^3\dfrac{\text{d}y}{\text{d}x}=0$

Rearrange the resulting equation in x, y and dy/dx to make dy/dx the subject:

$\implies 5x\dfrac{\text{d}y}{\text{d}x}+4y^3\dfrac{\text{d}y}{\text{d}x}=-8x-5y$

$\implies \dfrac{\text{d}y}{\text{d}x}(5x+4y^3)=-8x-5y$

$\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8x-5y}{5x+4y^3}$

To find the slope of the tangent line at the point (-9, -1), substitute x = -9 and y = -1 into the differentiated equation:

$\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8(-9)-5(-1)}{5(-9)+4(-1)^3}$

$\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{72+5}{-45-4}$

$\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{77}{49}$

$\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{11}{7}$

Therefore, slope of the tangent line to the curve at the given point is -11/7.

A store loses twenty-five dollars a day over six days. How much money was lost in total over these six days

Answers

Answer:

There was a total loss of $150.00 over those 6 days

Step-by-step explanation:

1 - Simplify the word problem

A store makes a loss of $25 per day for 6 days

2 - Write a statement for it

d = days

t = total loss

25d = t

3 - Plug in the days for d

25(6) = t

150 = t

t = $150

There was a total loss of $150.00 over 6 days

Hope this helps :)

Secondary School Maths. ANSWERS MUST BE FULLY AVAILABLE ON BRAINILY, SENDERS OF EXTERNAL LINKS WILL BE REPORTED

Answers

Answer:

see image

Step-by-step explanation:

The measure of Angle RNY and the measure of Angle GNC = 128. Angle RNY is congruent to Angle GNC. What is true about these two angles?

Answers

Answer:

They have the same angle measure

Step-by-step explanation:

Congruent angles have the same angle measure, theyre the same. That’s the definition of “congruent”. Both of their angle measures are 128 degrees.

Calculate the difference and enter below. -9-(-10)

Answers

Answer: 1

Step-by-step explanation: So, since this is a subtraction problem of negative numbers, we will make this an inverse operation, and make this an addition problem (It's easier to solve) So, now it will be written as -9 + 10. This is the same as 10-9, which would give us our answer; 1. I hoped this helped.

5. John had 2 Snickers bars for every 4 Kit-Kit bars. If John had a total of 16 candy bars,how many Snickers bars did he have?as

Answers

6 stickers in total candys16

PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

it will be choice 3

Step-by-step explanation:

as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side

I dont understand this question, i did the factor of 36x^2 - 49 but I dont understand the second part

Answers

Answer:

a = 6

b = 7

Step-by-step explanation:

Since both 36 and 49 are perfect squares, you can find their square roots which are 6 and 7.

To check to see if it is correct, replace the a with 6 and replace the b with 7, then evaluate the exponents.

Matrix A is said to be involutory if A2 = I. Prove that a square matrix A is both orthogonal and involutory if and only if A is symmetric.

Answers

Answer:

4 · 1/4 (I-0) = (A-0)∧2

see details in the graph

Step-by-step explanation:

Matrix A is expressed in the form A∧2=I

To proof that Matrix A is both orthogonal and involutory, if and only if A is symmetric is shown by re-expressing that

A∧2=I in the standard form

4 · 1/4 (I-0) = (A-0)∧2

Re-expressing

A∧2 = I as a graphical element plotted on the graph

X∧2=I

The orthogonality is shown in the graphical plot displayed in the picture. Orthogonality expresses the mutually independent form of two vectors expressed in their perpendicularity.

Matrix A is said to be involutory if A2 = I. Prove that a square matrix A is both orthogonal and involutory

How do division properties help you evaluate expressions?

Drag a word or number to the box to correctly complete the statement.

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
When the Response area of a fraction is equal to −1 and the numerator is nonzero, the value of the fraction is equal to the

Answers

The division property of equality simply tells us that if we divide both sides of an equation by the same number, then the equation remains the same.

How to explain the information?

It should be noted that when the denominator of a fraction is equal to 1, and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.

Fractions simply means, numbers that are not whole.

If the numerator is nonzero, and the denominator is 1; then the fraction has a value of the numerator.

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Answer:

When the denominator of a fraction is equal to 1 and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.

Step-by-step explanation:

I took a 2.12 math quiz in K12 and got it 100% Correct! Yes!

The density of ethyl acetate at 25 degrees is 0.902 g/ml. How many pounds would 133 ounces weigh

Answers

Answer:

$8.3125$pounds

Step-by-step explanation:

We are given that

Density of ethyl acetate at 25 degrees =$0.902g/ml$

We have to find the number of pounds in 133 ounces weigh.

To find the number of pounds in 133 ounces we will use unitary method

By using unitary method

We know that

1 ounce=0.0625 pounds

133 ounce=$133\times 0.0625$pounds

133 ounce=$8.3125$pounds

Hence,8.3125 pounds would 133 ounces weigh.

Candy spends £2.65, has 2/3 left, how much money does candy have to start

Answers

Candy spends £2.65, has 2/3 left and Candy has £7.95 money to start with.

Given that Candy spends £2.65 and has 2/3 of the initial amount left, we are required to find how much money Candy has to start with.

Solution:Let the initial amount of money Candy has be x.

Then, the amount of money spent by Candy = £2.65

Amount of money left with Candy = 2/3 of the initial amount

∴ Money left = 2/3 × x

Amount of money spent + money left = initial amount of money

Candy spends £2.65:2/3 of the initial amount left

= £ (x - 2.65)∴ 2/3 × x

= x - 2.65⇒ 2x/3

= x - 2.65⇒ 2x

= 3x - 7.95⇒ 3x - 2x

= 7.95⇒ x = 7.95

Hence, Candy has £7.95 to start with.

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plsss hurry Solve the application problem. Find the perimeter of a pantry shelf that measures 3 yards by 5/8 yard.

A. 1 7/8 yd
B. 7 1/4 yd^2
C. 1 7/8 yd^2
D. 7 1/4 yd

Answers

The answer has to have squared in it so that eliminates a and d but then if you are adding 3(2)and 5/8(2) you get 7 2/8 which equals 7 and1/4 then the answer is B 7 1/4 yd ^2

A manufacturer makes marbles out of glass, like the diagram shown. each marble must have a radius of 1.25 cm to pass quality control.

What is the volume of glass needed to make each marble, in cubic centimeters? Use 3. 14 for symbol and tecall that for spheres.

Answers

Answer:

7.85 is your answer I do believe

Answer:

THE ANSWER IS 6.54

Step-by-step explanation:

Suppose a newly-born pair of rabbits, one male, one female, are put in a field. Rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits. Suppose that our rabbits never die and that the female always produces one new pair (one male, one female) every month from the second month on

Answers

Yes go on, I wanna hear the story

fnd the highest common factor of -8xy and 20y

Answers

Answer:

$\huge\boxed{\boxed{2}\cdot\boxed{2}\cdot\boxed{y}=4y}$

Step-by-step explanation:

$-8y=-2\cdot\boxed{2}\cdot\boxed{2}\cdot \boxed{y}\\\\20y=\boxed{2}\cdot\boxed{2}\cdot5\cdot\boxed{y}$

A rectangle has vertices at these coordinates.
(0, 8), (5, 8), (5, 0)
What are the coordinates of the fourth vertex of the rectangle?
Enter the coordinates in the boxes.

Answers

Answer:

Step-by-step explanation:

(0,0)

i hope this helps

The graph shows function g a transformation f(x) = x1/3. Which equation represents the graph of function g

Answers

The graph shows the function g(x) as

$g(x)=x^{1/3}-3$

Given, that the function f(x)

$f(x)=x^{1/3}$

the graph shows a function g a transformation of f(x).

As, the graph of f(x) shifted 3 units downwards to get this function in the graph.

we know, that when a graph of a function is shifted 'a' units upwards or downwards then we add or subtract 'a' to the function respectively.

because the graph is shifted 3 units downwards.

Hence, the function g(x) can be defined as

$g(x)=x^{1/3}-3$

So, the graph shows the function g(x) as

$g(x)=x^{1/3}-3$

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00:00
Brandy made 7 batches of cookies. Each batch contained 12 cookies.
She put the same number of cookies in each of 5 bags. How many cookies were NOT put in bags?
16 cookies
12 cookies
4 cookies
2 cookies

Answers

Answer:

4 cookies

Step-by-step explanation:

The remainder of (7x12)/5 is your answer.

The answer is 4
first you multiply 7 by 12 and you get 84
then you divide 84 by 5 and you take the remaining cookies represented by decimals and you get 4

Given 1 || m ||
|| n, find the value of x.
(x-6)⁰
60⁰
1
m
n

Given 1 || m |||| n, find the value of x.(x-6)601mn

Answers

The value of x in the lines is 126 degree

We are given that;

Three parallel line and one intersecting line

Angles= (x-6) and 60

Now,

By supplementary angles property

Angle 1 + Angle 2 = 180 degree

Substituting the values of angles

x-6 + 60 = 180

x + 54 = 180

x = 180-54

x = 126

Therefore by supplementary angles answer will be 126 degree.

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ANYONE PLEASE HELP please i really needa answer this on time

Answers

Answer:

Line AB and the last AB

Step-by-step explanation:

Solve for x. 7.5x/11=4.8/5

Answers

The value of the variable is 1. 40

How to determine the value

we need to know that algebraic expressions are described as expressions that are made up of term, variables, constants, factors and coefficients.

these algebraic expressions are also made up of arithmetic operations.

These arithmetic operations are listed as;

BracketDivisionAdditionSubtractionMultiplicationParentheses

From the information given, we have that;

7.5x/11=4.8/5

cross multiply the values, we get;

7.5x(5) = 4.8(11)

multiply the values

37. 5x = 52. 8

Divide both sides by the coefficient of x, we get;

x = 1. 40

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factor and solve
x^2-4x=5

Answers

Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.

Find m<1.
33°
47°
42°
28°

Answers

Answer:

<1 = 33

Step-by-step explanation:

The sum of the angle of a triangle is 180

31+116+x = 180

x+147=180

x = 180-147

x = 33

what is the value of x over 20 = 5 over 8

Answers

Answer:

x = 12.5

Step-by-step explanation:

A researcher wishes to test whether two nominal variables with two and three respective categories are statistically independent. She observes a chi square value from Pearson's chi square test of independence of 6.20410Consider the following propositions PROPOSITION ONE: At the 5% significance level the appropriate decision could be a Type PROPOSITION TWOAt the 1% significance level the appropriate decision could be a Type A Proposition is true and Proposition is true B.Proposition is true and Proposition is false C.Proposition is false and Proposition is true DProposition is false and Proposition is false None of the above

Answers

The appropriate decision that the researcher should make is that C. Proposition I is false and Proposition II is true.

What is the chi square?

When comparing categorical variables from a random sample, the statistical test known as chi-square is used to assess the degree of fit between the predicted and actual results. It is most frequently used by scientists who examine survey response data.

At the significance level, this value would not be considered statistically significant, so the appropriate decision would be to fail to reject the null hypothesis and conclude that the two variables are independent. This means that Proposition II is true.

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