Determine the perimeter of this rectangle. » 526 m 78 m P = I on m m

The length of the diagonal of the napkin is 11 inches.

Here, we are given that a square napkin has a side of length 8 inches.

All the sides of a square are equal and the measure of angle formed by any two adjacent sides is also equal and 90°.

Thus, by using Pythagoras theorem, we can form the following equation-

[tex]side^{2} + side^{2} = diagonal^{2}[/tex]

Let the diagonal of the square be d. Then, we have-

[tex]8^{2} +8^{2} =d^{2}[/tex]

64 + 64 = [tex]d^{2}[/tex]

128 = [tex]d^{2}[/tex]

[tex]d^{2}[/tex] = 128

d = [tex]\sqrt{128}[/tex]

d = [tex]8\sqrt{2}[/tex]

the value of [tex]\sqrt{2}[/tex] is approximately 1.41. Thus,

d = 8 × 1.41

= 11.28

Thus, the length of the diagonal of the napkin to the nearest inch comes out to be 11.

Learn more about squares here-

https://brainly.com/question/25092270

#SPJ1

To complete the square, we want a number such that:

because in this way we can writte the square as follows:

Hence the answer is the last option:

The gross monthly income range to be for you to be able to rent this apartment is $1671 - $2340.

Let the monthly income be x.

Therefore, 25% of x = 585

0.25x = 585

Divide

x = 585/0.25

x = $2340

The maximum income is $2340.

The minimum income will be:

35% of x = 585

0.35x = 585

Divide.

x = 585 / 0.35

x = $1671

In this case, the minimum value is $1671 and the maximum value is $2340. This illustrates the concept for finding the range.

The range is $1671 - $2340.

Learn more about income on:

brainly.com/question/25745683

#SPJ1

a. The actual distance from Dallas to Houston is 0.058 mi. b. The actual distance from Dallas to San Antonio is 0.064 mi

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

Given that the actual distance from San Antonio to Houston is approximately 192 ​miles.

The scale factor from the map to the real world is;

 (actual)/( map) = (192mi)/(3 in) = 64 mi/in

Then the actual distance from Dallas to Houston will be;

 (3.75 in)(64 mi/in) = 0.058 mi

And from Dallas to San Antonio, the distance will be;

 (4.125 in)(64 mi/in) = 0.064 mi

Learn more about distance here:

https://brainly.com/question/24388592

#SPJ1

The equation of the line which passes through point (-5,20), with a slope of -3 is y = -3x + 5.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the data in the question;

Point ( -5,20 )

First, we find the y-intercept 'b', by plug the slope m ( -3 ) and point  ( -5,20 ) into the equation of line formula and solving for b.

y = mx + b

20 = (-3)(-5) + b

20 = 15 + b

b = 20 - 15

b = 5

Now that both the slope m and y-intercept b is known, plug these into y = mx + b to determine the equation of the line.

y = (-3)x + 5

y = -3x + 5

Therefore, the linear equation of the line is y = -3x + 5.

Learn more about equation of line here: brainly.com/question/2564656

#SPJ1

The complex expression (2+5) - (-6 +bi) in the form a + bi is 13 - bi

The expression is given as

(2+5) - (-6 +bi)

The above expression is a complex expression

So, we have the following expression

(2+5) - (-6 +bi)

Remove the brackets in the above expression

So, we have the following expression

(2+5) - (-6 +bi) = 2 + 5 + 6 - bi

Evaluate the like terms in the above equation

So, we have the following expression

(2+5) - (-6 +bi) = 13 - bi

Hence, the solution to the complex expression is 13 - bi

Read more about complex expression at

https://brainly.com/question/11245197

#SPJ1

f(10) is a multiple of 12 because f(x) has a linear factor of x+2 and x+2 = 12, when x = 10

f(10) multiple of 12 is given as:

The first-degree equations that make up a polynomial's linear factors serve as the foundation stone for higher-order and more complicated polynomials. The formula for a linear factor is ax + b, and it cannot be factored further. When paired with other linear factors, each linear factor represents a separate line, resulting in several sorts of functions with progressively more intricate graphical representations.

f(10) = (10+2)(100+20+2)

= (12)(122)

= 1220+244

= 1464

Hence, f(10) is a multiple of 12

Learn more about linear factors:

https://brainly.com/question/2510777

#SPJ1

We are given the following information

Slope of the line = m = -3

The line passes through the point (5, -7)

Recall that the equation of a line in the point-slope form is given by

Where m is the slope and (x₁, y₁) is a point on the line.

Let us substitute the given values into the above equation

Therefore, the equation of the line in slope-intercept form is

we have that

Two times the sum of a number and 7 -----> 2(w+7)

Two times the sum of a number and 7 equals 6 ----> 2(w+7)=6

the answer is

Answer:   12 feet

This is because [tex]12^2 = 12*12 = 144[/tex]

Squaring a number means you multiply it with itself.

The square root goes in reverse to have [tex]\sqrt{144} = 12[/tex]

Answer:

Each side is 12 ft long.

Step-by-step explanation:

So, you have a square, which means all of the sides are going to be the same length. So, you need something times itself that equals 144. Or, you need the square root of 144 (Because when something is squared, it is multiplied by itself). And the square root of 144 is 12.

The space sample is the total quantity of possible results

for each toss there are 3 possible results

so the total results are 2x 3 = 6

The only option with 6 elements is B

so the answer is B.

Answer:

Step-by-step explanation:

$220=$10x+$50

x= hours

subtract $50 from both sides making sure to cancel the right side

$220-$50=$10x

$170=$10x

Divide both sides by $10 to leaving x by itself on the right side

$170/$10=x

17hrs=x

The minimum number of hours is 17 hours to babysit in order to be able to afford the shoes.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Cost of new pair of shoes = $220

In order to earn money for this, Keandre babysits his neighbor for $10 an hour.

And, He also has saved up his monthly allowance which totals $50.

Now,

Let number of minimum hours = x hour

So, We can formulate;

⇒ $10x + $50 = $220

Solve for x as;

⇒ $10x + $50 = $220

Subtract 50 both side, we get;

⇒ $10x + $50 - $50 = $220 - $50

⇒ $10x = $170

Divide by 10 both side, we get;

⇒x = 17

Thus, The minimum number of hours is 17 hours to babysit in order to be able to afford the shoes.

Learn more about the expression visit:

https://brainly.com/question/4344214

#SPJ2

To solve the question, we will follow the steps below:

To find f(f(x)), we will simply replace x by x² - 1 in the function x² - 1

That is:

f((fx)) = (x²-1)² - 1

Then we open the parenthesis

f(f(x)) = (x² - 1)(x² -1) - 1

=x²(x²-1)-1(x²-1) - 1

= x⁴ - x² - x² + 1 - 1

= x⁴ - 2x²

So the correct option is option D. which is x⁴ - 2x²

Given:

To find:

The roots.

Explanation:

Here,

Using the quadratic formula,

On substitution we get,

Therefore, the solutions are,

Final answer:

The solutions are,

Part a: The relationship between x and y can be represented as y = 6.36 + 1.93x

Part b: The relationship between x and y is proportional

Part c: The value of the card in 2007 will be $25.66

Worth of the card in 1997 = $6.36

Increase in value each year = $1.93

Let x be the number of years the player has been in retirement and y be the value of the cards in dollars

Formulating the equations we get the following:

Value of the card = Worth of the card in 1997 + Increase in value each year*Number of years the player has been in retirement

Part a:

y = 6.36 + 1.93x

Part b:

The relationship between x and y is proportional as the increase in the value each year leads to an increase in the worth of the card

Part c:

Value of the card in 2007:

The number of years the player has been retired will be 10 years in this case

Formulating the equation we get the following:

y = 6.36 + 1.93(10)

= 25.66

So, the value will be $25.66

Learn more about linear equations:

https://brainly.com/question/13738061

#SPJ1

Answer:

slope would be 4/1

Step-by-step explanation:

its rise over run, so up 4 and out 1

have a good day!

Answer:

hmmph..

(32, 31)

(33,30)

(34, 29)

(35, 28)

(36,27)

(37, 26)

Step-by-step explanation:

That all I got....

Answer:

$7,000

Explanation:

To find the simple interest on any principal, we use the formula:

From the given question:

• Principal = $50,000

• Rate= 7%

• Time = 2 years

Therefore:

The simple interest is $7,000.

Bar chart

For 20 charterers

[tex]9y - 2y + 3 = 5y - 10 + 2 \\ 7y + 3 = 5y - 8 \\ 7y - 5y = - 8 - 3 \\ 2y = - 11 \\ \frac{2y}{2} = \frac{ - 11}{2} \\ y = \frac{ - 11}{2} [/tex]

ATTACHED IS THE SOLUTION OF Y

BE AWARE THERE IS A SOLUTION FOR THE PROBLEM.

The linear function that passes through the points (-3, 18) and (2, -7) is defined by the rule:

y = -5*x + 3

We can find a general linear function in the slope-intercept form as:

y = m*x + k

Where m is the slope and k is the intercept of the y-axis.

If we know that the line passes through the points (a, b) and (c, d) then the slope of the function is:

m = (d - b)/(c - a)

In this case the line passes through the points (-3, 18) and (2, -7), then the slope is:

m = (-7 - 18)/(2 + 3) = -5

So the line is something like:

y = -5*x + k

To find the value of k, we can use one of the two given points, I will use (2, -7), so we get:

-7 = -5*2 + k

-7 = -10 + k

-7 + 10 = k

3 = k

So the linear function is:

y = -5*x + 3

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Answer:

The anser is

Step-by-step explanation:

DO IT YOURSELF BRO GO LEARN AND STOP USING BRAINLY PU_$$y

Roots are x = - 6 + √20/8 and x = - 6 - √20/8 of polynomial.

What in mathematics is a polynomial?

4x² - 6x+1 = 0

x = -b ± √b² - 4ac/2a

x = - (6) ± √(-6)² - 4 * 4 * 1/2 * 4

x = -( 6) ± √36 - 16/8

x = - 6 ± √20/8

So, roots are x = - 6 + √20/8 and x = - 6 - √20/8

Learn more about polynomial

brainly.com/question/11536910

#SPJ13

In order to determine the ordered pairs, look if the given points are on the curve.

Based on the graph, you can identify that the points are:

B. (0,1)

D. (2,4)

E. (3,8)

Answer:

x = 0 and 2pi/3

Explanation

Given the expression

cos(2x)=cos(x)

In trigonometry expression;

cos2x = 2xos^2x - 1

Substituting into the equation given;

cos(2x)=cos(x)

2xos^2x - 1 = cos x

Rearrange

2xos^2x - 1 - cosx - 1 = 0

Let P = cosx

2P^2 - P - 1 = 0

Factorize

2P^2 - 2P+P-1 = 0

2P(P-1)+1(P-1) = 0

2P+1 = 0 and P-1 = 0

P = -1/2 and 1

Recall that P = cosx

-1/2 = cosx

x = cos^-1(-1/2)

x = 120 degrees = 2pi/3

If P = 1

cosx = 1

x = cos^-1(1)

x = 0

Hence the value of x that satisfies the equation is 0 ad 2pi/3

On the frequency table, you can see the payouts of the lottery and the corresponding probabilities for every payout. To determine the expected payout, you have to multiply each possible price by its corresponding probability and add the results, following the formula:

The expected payout for the lottery is $4.35

The system of inequalities is x + y ≤ 300, 11x + 15y ≥ 3630, x ≥ 0 and y ≥ 0 while the three points are (70, 200), (150, 140) and (140, 150)

From the question, we have the following parameters that can be used to determine system of inequalities

Represent the adult with y and the students with x

So, we have the following representations

x + y ≤ 300 ---- the ticket holders cannot exceed the capacity

11x + 15y ≥ 3630 --- the total sales cannot be less than $3630

x ≥ 0 -- the number of students cannot be negative

y ≥ 0 -- the number of students cannot be negative

Write out the inequalities

x + y ≤ 300

11x + 15y ≥ 3630

x ≥ 0

y ≥ 0

Next, we represent the inequalities on a graph

See attachment for the graph of the inequalities

To get the combination, we make use of the coordinate points that are in the shaded region of the graph

Using the above as a guide, we have

(70, 200), (150, 140) and (140, 150)

There are other points too

Read more about inequalities at:

https://brainly.com/question/25275758

#SPJ1