A rectangular plot of land is 40 feet long and 25 feet wide. How long is a walkway along the diagonal?

Answers

Answer 1

Answer:

25 ft

Step-by-step explanation:


Related Questions

PLEASE HELP MEE!! 50 POINTS
URGENT

The function y= x^2-10x+31 has a _____ (minimum, maximum) value of __ (5, 10, 31, 6)

Answers

Answer:

minimum value of 6

Step-by-step explanation:

Given

y = x² - 10x + 31

with a = 1, b = - 10

Since a > 0 then the function has a minimum value

The minimum value is the y- coordinate of the vertex.

The x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex] = - [tex]\frac{-10}{2}[/tex] = 5

Substitute x = 5 into the function for y- coordinate of vertex

y = 5² - 10(5) + 31 = 25 - 50 + 31 = 6

The function has a minimum value of 6

The two triangles are similar. Create and solve proportions (two of them) to find the missing side measures. Drag and drop your answers.

Answers

Answer:

4

Step-by-step explanation:

the smaller triangle is the larger triangle divided by 4 so 16÷4 is 4.

The problem has been started for you.


What is the quotient?
86
86.6
86.ModifyingAbove 6 with bar
87

Answers

Answer:

the third one

Step-by-step explanation:   6  22  22  24

the quotient is 86.6666666   the repeating 6 is sometimes written with a bar above the .6  like

   

86.6   except the bar is on top of the second 6

Why would there be a difference between percentages with the Empirical Rule and the actual percentages?

Answers

Answer:

Given that [tex]\int\limits^a_b {\frac{1}{2\pi } e^{-1/2} x} \, dx[/tex]   is not the easiest equation to solve, and that

the values at the convenient ± 1 sigma,± 2 sigma,± 3 sigma are irrational

using the "rule-of-thumb" "empirical rule" is typically "close enough"

given that the whole probability analysis by definition has some uncertainty in it

Step-by-step explanation:

The percentages of a normal distribution data lies within three standard deviations of its mean for empirical rule while it's definite for actual percentages.

What is the empirical rule?

The empirical rule is also referred to as the 68-95-99.7 rule and it can be defined as a rule in statistics which states that:

The middle 68% of a normal distribution would be within one standard deviation of its mean (µ ± σ).The middle 95% of a normal distribution would be within two standard deviations of its mean (µ ± 2σ).The middle 99.7% of a normal distribution would be within three standard deviations of its mean (µ ± 3σ).

In Statistics, there is a difference between percentages calculated by using the empirical rule and the actual percentages because a normal distribution data lies within three standard deviations of its mean for the former but it is definite for the latter.

In conclusion, the empirical rule is more important to researchers and statistician because it can be used to determine outcomes and gain insight even when all the data aren't available.

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Solve for w.
5W + 9z = 2z + 3w
w=-7/2 z
w=-2/7 z
w=-2z
w= -7z

Answers

Answer:

w = - [tex]\frac{7}{2}[/tex] z

Step-by-step explanation:

Given

5w + 9z = 2z + 3w ( subtract 3w from both sides )

2w + 9z = 2z ( subtract 9z from both sides )

2w = - 7z ( divide both sides by 2 )

w = - [tex]\frac{7}{2}[/tex] z

Answer:

w = -7/2z

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

5w + 9z = 2z + 3w

Step 2: Solve for w

[Subtraction Property of Equality] Subtract 3w on both sides:                      2w + 9z = 2z[Subtraction Property of Equality] Subtract 9z on both sides:                      2w = -7z[Division Property of Equality] Divide 2 on both sides:                                  w = -7/2z

3. A student gets a grant of $10 000 a year. Assuming her grant is increased by 7% each year, what will her grant be in four years time? ​

Answers

Answer:

that's all~~~~~~~~~~~~~~~~~~

Gavyn was thinking of a number. Gavyn subtracts 8.3 from the number and gets an answer of 52.7. Form an equation with x from the information.

Answers

x - 8.3 = 52.7

x = 61

I have been stuck on this all day, please explain how to do this

Answers

Answer:$3,700

Step-by-step explanation:

Gross sales are the total amount of sales a company earned throughout a specific period of time, without taking into consideration any costs involved with running a business. Gross sales do not factor in expenses related to running a business, also known as cost of goods sold (COGS), which get deducted when calculating net sales. For example, they do not account for costs associated with item production, employee wages, building rent, returns, theft or sales tax.

Gross Sales = $3,700

Gross sales are the total amount of sales a company earned throughout a specific period that is 3700 dollars.

What is income tax?

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

Gross sales are the total amount of sales a company earned throughout a specific period, without taking into consideration any costs involved with running a business.

Gross sales do not factor in expenses related to running a business, also known as cost of goods sold (COGS), which get deducted when calculating net sales.

For example, they do not account for costs associated with item production, employee wages, building rent, returns, theft, or sales tax.

Gross Sales = $3,700

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pls solve quickly !!

Answers

Answer:

Options A

Step-by-step explanation:

Properties of the graph given for the function 'g',

y-intercept of the function 'g' → y = -4

Minimum value of g(x) → y = -4 (Value of the function at the lowest point)

Roots of g(x) → x = -2, 2

At x = 4,

g(4) = 11

Another function is,

f(x) = -x² - 4x - 4

     = -(x² + 4x + 4)

     = -(x + 2)²

Properties of the function f(x) = -(x + 2)²,

y-intercept (at x = 0) of the function 'f',

y = -(x + 2)²

y = -4

Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.

Maximum value of the function 'f' = Value of the function at the vertex

Coordinates of vertex → (-2, 0)

Therefore, maximum value of 'f' = 0

Roots (at y = 0) of the function 'f' → x = -2

At x = 4,

f(4) = -(4 + 2)²

     = -36

Therefore, Options A will be the correct option.

Which statement correctly compares the two functions? A. They have the same end behavior as x approaches [infinity], but they have different x- and y-intercepts. B. They have the same x-intercept and the same end behavior as x approaches [infinity]. C. They have the same y-intercept and the same end behavior as x approaches [infinity]. D. They have the same x-intercept and the same y-intercept.

Answers

Answer:

A. They have the same end behavior as x approaches [Infinity], but they have different x- and y- intercepts.

Step-by-step explanation:

The x and y intercepts in mathematics can depict more than one function. They can have same end behavior as x approach. The x and y intercepts can be different for the two functions.

Which situation best represents a proportional relationship?

Answers

Answer:

Option (3)

Step-by-step explanation:

Two variables 'x' and 'y' show the proportional relationship if,

y ∝ x

y = kx

Here, k = Proportionality constant

Option (1)

If Sandra sold 2 bracelets for $3 and 3 bracelets for $6.

For y = 3 and x = 2,

3 = 2k

k = 1.5

For y = 6 and x = 3

6 = 3k

k = 2

Here, proportionality constant is different in both the cases.

Therefore, Option A doesn't show the proportional relationship.

Option (2)

Jeff ran 4 miles in 20 minutes and 6 miles in 24 minutes.

For y = 20 and x = 4,

20 = 4k

k = 5

For y = 24 and x = 6,

24 = 6k

k = 4

Here, proportionality constant is different in both the cases.

Therefore, there is no proportional relationship.

Option (3)

Lamont packed 27 glasses in 9 cases and 81 glasses in 27 cases.

For y = 27 and x = 9

27 = 9k

k = 3

For y = 81 and x = 27,

81 = 27k

k = 3

Here, proportionality constant is k = 3 for both the cases.

Therefore. Option (3) is the answer.

Option (4)

Fernanda placed 8 pencils in 2 boxes and 16 pencils in 8 boxes.

For y = 8 and x= 2.

8 = 2k

k = 4

For y = 16 and x = 8,

16 = 8k

k = 2

Here, proportionality constant is different in both the cases.

Therefore, Option (4) is not the answer.

it is given 5 and h + 1 are the roots of the quadratic equation x^2 + (k - 1)x-5 = 0, where h and k are constants. Find the values of h and k.​

Answers

Answer:

The values of h = -2 and 4

The value of k = -3

Step-by-step explanation:

Putting x=5 in the given equation,

x²+(k-1)x-5=0

or, 5²+(k-1)*5-5=0

or, 25+5k-5-5=0

or, 15+5k=0

or, 5k=-15

or, k=-3

putting the value of k and the other root (h+1) in the given equation,

(h+1)²+(-3-1)(h+1)-5=0

if you solve this, you'll get h = -2 and h = 4.

Answered by GAUTHMATH

Which is not a benefit of direct deposit?


A.
You can plan when you are paying bills.


B.
You can avoid having a hold placed on when funds are available.


C.
The money is available as soon as your employer makes the transfer.


D.
You do not need to drive to the bank to make a deposit.

Answers

A because I took the test

Answer:

Its B. You can avoid having a hold placed on when your funds are available

Step-by-step explanation:

I just got it right rn.

Is -2 a solution to 4x^(3)-x^(2)+16x-4

Answers

Answer:

Not a solution

Step-by-step explanation:

In order for [tex]x=-2[/tex] to be a solution, the result after substituting must be 0:

[tex]4(-2)^3-(-2)^2+16(-2)-4\stackrel{?}{=}0[/tex]

[tex]4(-8)-4-32-4\stackrel{?}{=}0[/tex]

[tex]-32-40\stackrel{?}{=}0[/tex]

[tex]-72\neq0[/tex]

Therefore, [tex]x=-2[/tex] is not a solution to [tex]4x^3-x^2+16x-4[/tex]

Congruent angle pairs : find value of x and the value of y

Answers

the answer is C x=50 y=10

if LMNO is a rectangle, and MO=54, what is the length of line NP?
answers
a.) 34
b.) 22
c.) 18
d.) 108
e.) 27
f.) cannot be determined

Answers

Answer:

27 is the correct answer

Answer:

27

Step-by-step explanation:

A chewing gum consists of 30% corn syrup and 40% sugar. The rest was made up by gum Arabic. Find the weight of the Gum Arabic in a 25gm piece of the chewing gum. Max points pls just bloody answer it

Answers

Answer:

7.5 grams

Step-by-step explanation:

The percent of gum Arabic is 100 -30 -40 = 30 %

30%  of 25 g =

.30 * 25

7.5 grams

Answer:

[tex]7.5gm[/tex]

Step-by-step explanation:

Solution:

[tex]100\% - 30\% - 4\% = 3\% \: arabic \\ 30\% \times 25 = 7.5[/tex]

a que taxa mensal devo empregar um capital de r$ 20.000 para que no fim de 10 meses renda 18.000 de juros

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

[tex]\to 18000=2000 \times i \times 10 \\\\\to 18000=200000 \times i\\\\\to i=\frac{18000}{200000}\\\\\to i= \frac{18}{200}\\\\ \to i= \frac{9}{100}\\\\ \to 0.09\\\\[/tex]

Calculating the percentage:

[tex]\to 0.09\times 100=9\%[/tex]

each side of a polygon is 2.5 cm in length. the perimeter of the polygon is 12.5 cm.how many sides does a polygon have ?​

Answers

Answer:

it's 5 sides

Step-by-step explanation:

I hope this helps

Answer:

5 sides

Step-by-step explanation:

12.5÷2.5=5

therefore the answer is 5

please please help me I have a test I need to take! Answer the following questions about the centroid of this triangle!!!!

Answers

Answer: I am sorta answering this on my alt, just move along

Step-by-step explanation:

The whole lenght is the short length 9 and the long length 18 added.

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.2 parts/million (ppm). A researcher believes that the current ozone level is not at a normal level. The mean of 23 samples is 6.4 ppm with a standard deviation of 0.7. Assume the population is normally distributed. A level of significance of 0.02 will be used. State the null and alternative hypotheses.

Answers

Answer:

H0 : μ = 6.2

H1 : μ ≠ 6.2

Step-by-step explanation:

Population mean, μ = 6.2 ppm

The hypothesis :

Null, H0 : = The mean level of Ozone is normally 6.2 ppm ;

The alternative hypothesis is the researcher's claim that the current ozone level is not normal, that is it may be higher or lower than the normal value in ppm

Hence, the hypothesis could be written as :

H0 : μ = 6.2

H1 : μ ≠ 6.2

There are 4 apples, 6 pear, 3 oranges and 9 peaches in a basket. You randomly pick three fruits from the basket. What is the probability that the first fruit is apple, the second is a peach and the last is not an orange if you do not replace the first and second fruits? Enter your answer as a decimal rounded to the nearest thousandth

Answers

its 15/182 (sorry if its wrong!!)

The probability that the last one is not an orange if you do not replace the first and second fruits will be equal to 0.054.

What is Probability?

Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.

As per the given information in the question,

The total number of fruits as per the data is,

4 apples + 6 pear + 3 oranges + 9 peaches = 21 fruits.

As per the statement, the first fruit is from 21 fruits.

There are 3 apples, so the probability will be,

3/21 = 1/7

The second fruit is from 20 fruits,

21 - 1 = 20

There are 9 peaches, so the probability will be,

9/20

The third fruit is from 19 fruits, so there are 16,

19 - 3 = 16

These fit the bill (not oranges), so the probability will be,

16/19.

So,

1/7 × 9/20 × 16/19

= 36/665

= 0.054

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solve the radical. x+4=sqrt x+10 what is the extraneous solution to the radical equation

Answers

Answer:

-6 is an extraneous solution.

Step-by-step explanation:

We can start by solving this problem.

First, to remove the square root, we can square both sides.

[tex](x+4)^{2} = x + 10\\x^2 + 8x + 16 = x + 10\\[/tex]

Next, we can subtract both sides by (x+10)

[tex]x^2 + 7x + 6 = 0\\[/tex]

Then, we can factor out the equation.

[tex](x+1)(x+6) = x^2 + 7x + 6 \\= 0[/tex]

Given this, it seems like -1 and -6 would be correct. Plugging this back into the original equation, though,

-1 + 4 = √(-1 + 10)

3 = 3

-6 + 4 = √(-6+10)

-2 ≠ 2

Therefore, -6 is an extraneous solution.

Im super confused please help!!

Answers

Your answer is A.

And yes, very confusing problem. The whole amount is all of the shaded area under the number line, which is 2 1/3. So that narrows our answer choices down to A and B.

We know it’s being divided by 2/3 because of the bracketed sections below the shaded area. This is confirmed by the fact that in A and B, 2 1/3 is divided by 2/3.

So the question is then how many groups of 2/3 do we have. We have 3 full groups, or brackets of 2/3. The fourth bracket only has one of the two sections filled, which means that is a half measure of a 2/3. Putting this in words is really hard, LOL.

But we have 3 full brackets each measuring 2/3, and 1/2 of a bracket measuring 2/3, so the answer is 3 1/2.

I feel like this took me a good bit of time to get my brain around this morning. Have a good day.

36 -5x = 7x +48
Which value of x makes the equation true?

Answers

Answer:

[tex]x=-5\frac{1}{3}[/tex]

Step-by-step explanation:

36 - 5x = 7x + 48

3x - 5x + 5x = 7x + 5x + 48

3x = 12x + 48

3x - 12x = 12x - 12x + 48

- 9x = 48

- 9x ÷ - 9 = 48 ÷ - 9

[tex]x=-5\frac{1}{3}[/tex]

36-12x=48
-12x=12
X=-1

11. Find the area of each figure. Show all your calculations a. 3 cm 13 cm

Answers

Answer:

[tex]39[/tex]

Step-by-step explanation:

[tex]A=lw[/tex]

Area = length * width

[tex]A = 3 * 13[/tex]

[tex]A=39[/tex]

Hope this helps

Which word BEST describes 3x, 5y, and z in the expression 3x − 5y + z?
A) terms
B) products
C) variables
D) coefficients

Answers

Answer:

Co-efficients

Step-by-step explanation:

there is a number and variable.

A CD player holds 5 CDs, and each disc has 12 songs. If the CDs are changed randomly, find the probability that your favourite song is played first.
(Give your answer as a fraction)

Answers

Answer:

1/(5*12) = 1/60 = .016 = 1.6%

Step-by-step explanation:

If a +b+c=9 and a square +b square +square =1 then ab+bc+ca

Answers

Answer:

ab + bc + ca = 40

Step-by-step explanation:

Using the expansion identity

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca) , that is

9² = 1 + 2(ab + bc + ca)

81 = 1 + 2(ab + bc + ca) ← subtract 1 from both sides

80 = 2(ab + bc + ca) ← divide both sides by 2

40 = ab + bc + ca

Jaheem has a goal running a total of 125 miles this month. Each day that he ran, he ran 7 miles. Which expression could Jaheem use to determine how many miles he has left to run after running for d days?
x a.
125 – 7d


x b.
7d + 125


x c. fraction numerator 125 over denominator 7 d end fraction

x d.
7d

Answers

Answer:

a. 125 – 7d

Step-by-step explanation:

Let d be the number of days.

Given the following data;

Total distance (month) = 125 miles

Distance covered per day = 7 miles

To determine how many miles he has left to run after running for "d" days, this mathematical expression can be used;

Total distance - distance covered per day = number of miles remaining

[tex] 125 - 7d [/tex]

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