the width of a rectangle is 5 units less than the lenght. if the area is 104 square units, then find the dimensions of the rectangle ​

1 inch is to 3 feet

1 in. : 3 ft.

The side lengths of a dilation of quadrilateral LMNP can be determined by multiplying the original side lengths by the dilation scale factor. For example, a scale factor of 2 would double the side lengths, resulting in a dilated quadrilateral with doubled dimensions.

The question asks about the side lengths of a dilation of quadrilateral LMNP with original sides measuring 16, 28, 12, and 32. In mathematics, a dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The scale factor of the dilation determines how much larger or smaller the dilated figure will be compared to the original.

For example, if a quadrilateral LMNP is dilated by a scale factor of 2, all side lengths would be twice as long as the original. Therefore, the dilated quadrilateral would have sides of 32 (16×2), 56 (28×2), 24 (12×2), and 64 (32×2). Conversely, if the dilation scale factor is 0.5, the sides would be half as long, resulting in lengths of 8, 14, 6, and 16 respectively.

To determine the side lengths of a dilated version of LMNP, simply multiply each of the original side lengths by the dilation scale factor. This property of similarity due to dilation applies to any polygon, maintaining the shape but altering the size proportionally in all dimensions.

A. Car share I hope this helps

The most likely choice for someone needing a car for a few hours to pick someone up from the airport is a car share, due to its convenience and cost-effectiveness for short-term use.

A person who needs a car for just a few hours to pick up a friend from an airport would most likely choose car sharing. This option allows for the short-term use of a car, typically charged by the hour or mile, and is ideal for brief, one-time needs such as an airport pick-up. In contrast, car rental is more suitable for those who need a vehicle for a full day or longer. A car lease is a long-term arrangement, usually spanning several years, and therefore not practical for a few hours of use. Carpooling involves sharing a ride with others going in the same direction but does not provide the flexibility of going to the airport to pick someone up specifically.

When deciding on options like these, one must consider the economic choices and personal needs. Factors like fuel efficiency, car size, and whether all-wheel drive is necessary for local weather conditions should be taken into account for longer-term choices. However, for a few hours of need, car sharing emerges as the most convenient and economical option.

Answer:

[tex]8\ units< x < 18\ units[/tex]

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Applying the Theorem

case 1) [tex]42+4x > 2x-6[/tex]

[tex]4x-2x > -6-42[/tex]

[tex]2x > -48[/tex]

[tex]x > -24\ units[/tex]

case 2) [tex]42+(2x-6) >4x[/tex]

[tex]42-6 >4x-2x[/tex]

[tex]36 >2x[/tex]

[tex]18 >x[/tex] -----> rewrite

[tex]x<18\ units[/tex]

case 3) [tex]4x+(2x-6) > 42[/tex]

[tex]4x+2x > 42+6[/tex]

[tex]6x > 48[/tex]

[tex]x > 8\ units[/tex]

therefore

[tex]8\ units< x < 18\ units[/tex]

Yes you did a little reminder for you from me is that c^2 will ALWAYS be across from the right angle(90 degree)

ANSWER

[tex] \cos( \alpha ) + \sin( \alpha ) [/tex]

EXPLANATION

The given expression is

[tex] \frac{ \cos(2 \alpha ) }{ \cos( \alpha ) - \sin( \alpha ) } [/tex]

Recall and use the double angle identity,

[tex] \cos(2 \alpha ) = { \cos}^{2} \alpha - { \sin}^{2} \alpha [/tex]

This implies that,

[tex]\frac{ \cos(2 \alpha ) }{ \cos( \alpha ) - \sin( \alpha ) } = \frac{ \ { \cos}^{2} \alpha - { \sin}^{2} \alpha }{ \cos( \alpha ) - \sin( \alpha ) } [/tex]

Recall again that: a²-b²=(a-b)(a+b)

We use difference of two squares to obtain,

[tex]\frac{ \cos(2 \alpha ) }{ \cos( \alpha ) - \sin( \alpha ) } = \frac{ (\ { \cos}\alpha - { \sin}\alpha )(\ { \cos}\alpha + { \sin}\alpha)}{ \cos( \alpha ) - \sin( \alpha ) } [/tex]

We cancel out the common factors to get,

[tex]\frac{ \cos(2 \alpha ) }{ \cos( \alpha ) - \sin( \alpha ) } = { \cos}\alpha + { \sin}\alpha[/tex]

The expression cos(2α)cosα−sinα is equivalent to the formula 2tanα / (1+tan^2α), reached by substituting cos(2α) with 1 - 2sin^2α and recognizing the resulting function as the derivative of the tangent function.

In addressing your question on expressions equivalent to cos(2α)cosα−sinα, we will employ some trigonometric identities. The expression cos(2α)cosα−sinα is equivalent to the expression 2tanα / (1+tan^2α).

The way to reach this answer is to first know the identity cos(2α) = 1 - 2sin^2α and plug this into the equation. The result will be 2sin^2α cosα + sinα. Then, you recognize this is the derivative of the tangent function, and find that it equals 2 tanα / (1 + tan^2α).

https://brainly.com/question/3785172

#SPJ3

The graph opens upward and has a minimum value of –3

Which statement describes the graph of the function

From the question, we have the following parameters that can be used in our computation:

y - 2x² = -3

This can be expressed as

y = 2x² - 3

The above has a positive leading coefficient

This means that it opens up

And as such it has a minimum and no maximum

Using the above as a guide, we have the following:

The graph opens upward and has a minimum value of –3

To find out how much money must be deposited now in an account paying 7% annual interest compounded yearly to have a balance of $1000 after 6 years, we can use the formula for compound interest. Plugging in the values given, we get an approximate deposit of $665.58.

To find out how much money must be deposited now, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the future value, P is the principal (initial deposit), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.

In this case, we have A = $1000, r = 7% (or 0.07), n = 1 (compounded yearly), and t = 6 years. Plugging in these values, we can solve for P:

A = P(1 + r/n)^(nt)

$1000 = P(1 + 0.07/1)^(1 * 6)

$1000 = P(1 + 0.07)^6

$1000 = P(1.07)^6

$1000 = P(1.5037)

P ≈ 1000 / 1.5037

P ≈ 665.58

Therefore, approximately $665.58 must be deposited now to have a balance of $1000 after 6 years.

Answer:

firs

Step-by-step explanation:

Step-by-step explanation:

[tex]1\ ft=12\ in\to1\ in=\dfrac{1}{12}\ ft\\\\\text{Therefore, if you want to change inches to feet,}\\\text{you must divide the number of inches by 12.}\\\\\text{Examples:}\\\\36\ in=\dfrac{36}{12}\ ft=3\ ft\\\\120\ in=\dfrac{120}{12}\ ft=10\ ft[/tex]

Answer:

A

Step-by-step explanation:

thomas read faster than  brice!!! wheres the graph btw?

The correct statement of the given ones is that Thomas is reading at a faster rate than Brice.

        [y] = mx + c

Given are Brice and Thomas who are reading the same book. The graph

shows the number of pages that Brice read in a week and the equation

y = 21x + 33 shows the number of pages that Thomas read in a week.

The given equation for Thomas that shows the number of pages that Thomas read in a week is -

y = 21x + 33

The slope of the line is -

m = 21

Thomas is reading 21 pages per week.

For the graph of Brice, it passes through the points (0, 43) and (6, 163). So, we can find the slope as -

m = (163 - 43)/(6 - 0)

m = 120/6

m = 20

Brice is reading 20 pages per week.

Therefore, the correct statement of the given ones is that Thomas is reading at a faster rate than Brice.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ3

{Complete question -

Brice and Thomas are reading the same book. The graph shows the number of pages that Brice read in a week. Graph in the coordinate plane with title pages read by Brice. Vertical axis goes from 0 to 250 in increments of 10 and is labeled number of pages read. Horizontal axis goes from 0 to 7 in increments of 1 and is labeled time in days. A ray on the graph starts at point begin ordered pair 0 comma 43 end ordered pair and goes through point begin ordered pair 6 comma 163 end ordered pair.

The equation y = 21x + 33 shows the number of pages that Thomas read in a week with y representing the number of pages and x representing the number of days.

Which statements about the reading of the two boys are true?

Select each correct answer.

Thomas reads 20 pages each day.

Thomas is reading at a faster rate than Brice.

Brice reads 33 pages each day.

Brice started the week with more pages read than Thomas.}

x > -3 divide by -5 on both sides and then switch the sign bc everytime u divide by a negative number u have to switch the sign

Answer:

x < -3

Step-by-step explanation:

All you have to do is divide -5 on both sides.

-5x  < 15

------  ------

 -5     -5

x < -3

Sometimes, you might have to flip the < sign. So it will be like:

x > -3

If you want to graph the inequality, here's how it will look:

(Graph shown on bottom of answer)

Mathematics is a great, beautiful, and important thing in life! With math, you can do anything when you out your mind to it!

- Jamal Josecite

8th Grade Student

(Please give me brainliest! I need to level up!)

If 25% of the cupcakes were chocolate, she would have bought 6 chocolate cupcakes

Answer:

hello!!

the answer would be 6 cupcakes.

I have this question on my session rn

have a great day

-Chilly

Answer:

8

Step-by-step explanation:

To find the discriminant, we need to get the equation in standard form

9x^2+2=10x^2

Subtract  10x^2 from each side

9x^2-10x^2+2=10x^2-10x^2

-x^2 +2 =0

This is in the form ax^2+bx +c =0

where a=-1 b=0 and c=2

The discriminant is

b^2 -4ac

0^2 -4*(-1)*2

0+8

The discriminant is 8

Answer:

[tex]\large\boxed{A.\ f(x)+g(x)=9x^2-x-3}\\\boxed{B.\ f(x)-g(x)=5x^2-9x+9}\\\boxed{g(x)-f(x)=-5x^2+9x-9}[/tex]

Step-by-step explanation:

[tex]f(x)=7x^2-5x+3,\ g(x)=2x^2+4x-6\\\\A:\\f(x)+g(x)=(7x^2-5x+3)+(2x^2+4x-6)\\f(x)+g(x)=7x^2-5x+3+2x^2+4x-6\qquad\text{combine like terms}\\f(x)+g(x)=(7x^2+2x^2)+(-5x+4x)+(3-6)\\f(x)+g(x)=9x^2-x-3[/tex]

[tex]B:\\f(x)-g(x)=(7x^2-5x+3)-(2x^2+4x-6)\\f(x)+g(x)=7x^2-5x+3-2x^2-4x+6\qquad\text{combine like terms}\\f(x)-g(x)=(7x^2-2x^2)+(-5x-4x)+(3+6)\\f(x)+g(x)=5x^2-9x+9[/tex]

[tex]C:\\g(x)-f(x)=(2x^2+4x-6)-(7x^2-5x+3)\\g(x)-f(x)=2x^2+4x-6-7x^2+5x-3\qquad\text{combine like terms}\\g(x)-f(x)=(2x^2-7x^2)+(4x+5x)+(-6-3)\\g(x)-f(x)=-5x^2+9x-9[/tex]

Answer: Its where the variable functions matches an output, for example *(modelvariable)=(output((x))

Step-by-step explanation:

Answer:

Linear programming

Linear programming is a method to achieve the best outcome in a mathematical model whose requirements are represented by linear relationships. Linear programming is a special case of mathematical programming.

Step-by-step explanation:

Answer: it is 45cm^2

Step-by-step explanation:

it is because it is

Answer:

the answwee is right triangle

Step-by-step explanation:

Answer:

Right triangle,

Step-by-step explanation:

The points (-2,-1) and (-2,-4) joined make a vertical line.

Also the line between (-2,-4) and (5, -4)  is horizontal.

The 3 points make a right triangle.

Answer:

pq^9

Step-by-step explanation:

so this is basically multyplying the 2 variables

p there is 1

q there is 9

pq^9

Answer:

p q^9

Step-by-step explanation:

pqqqqqqqq

There is one p and 9 q's

That means raise p to the power of 1 and q to the power of 9

p^1 * q^9

Anything to the power of 1 is itself

p q^9

Answer:

The correct answer is B. 3 bags

Correct statement, question and image:

Betsy is buying topsoil for the flower bed shown below (image attached)

One bag of topsoil covers 20 square meters.

How many bags of topsoil does Betsy need to cover her flower bed?

A 2 bags

B 3 bags

C 4 bags

D 5 bags

Source:

Previous question that can be found at brainly

Step-by-step explanation:

1. Let's find the area of the triangle:

Area = (Base * Height)/2

Area = (20 * 6)/2

Area of the flower bed = 60 m²

2. Now, let's calculate the number of bags of topsoil Betsy needs to cover her flower bed:

Number of bags = Area of the flower bed/Area covered by a bag of topsoil

Number of bags = 60/20

Number of bags = 3

The correct answer is B. 3 bags

There are 3 bags of topsoil Betsy needs to cover her flower bed option (B) is correct.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

The figure is missing. Please refer to the attached picture.

As we know,

The area of the triangle = (1/2)base length×hieght

= (1/2)20×6

= 60 square m

One bag of topsoil covers 20 square meters.

Number of bags = 60/20 = 3 bags

Thus, there are 3 bags of topsoil Betsy needs to cover her flower bed option (B) is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ5

Answer:

The answer is y = 20

Step-by-step explanation:

To find this, we need to turn it into an equation. Then we can follow the order of operations to solve.

y - 12 = 8

y = 20

Answer: Y = 20

Step-by-step explanation:

The equation to solve this problem is y - 12 = 8

In order to solve the equation you need to add 12 to each side -

Y = 20

You can then check your work - 12 less than 20 equals 8. This is correct, so you know that your answer is correct.

The average cost of a movie ticket in Japan is $17.99 and in Switzerland is $13.82.

To solve the problem of determining the average cost of a movie ticket in Japan and Switzerland, we need to set up a system of equations based on the information given. If we let J represent the cost of a ticket in Japan and S represent the cost of a ticket in Switzerland, we can formulate the following equations from the scenario provided:

3J + 2S = $81.61 (Cost for three tickets in Japan and two in Switzerland)

3S + 2J = $77.44 (Cost for three tickets in Switzerland and two in Japan)

Now we solve the system of equations using substitution or elimination method. For simplicity, we'll use the elimination method:

Multiply the first equation by 3 and the second equation by 2 to make the coefficients of S the same:

9J + 6S = 3 x $81.61 = $244.83

6S + 4J = 2 x $77.44 = $154.88

Subtract the second new equation from the first to eliminate S:

9J + 6S - (6S + 4J) = $244.83 - $154.88

5J = $89.95

Divide by 5 to solve for J:

J = $89.95 / 5 = $17.99

Now substitute the value of J in either original equation to solve for S:

3(17.99) + 2S = $81.61

53.97 + 2S = $81.61

2S = $81.61 - 53.97

2S = $27.64

Divide by 2 to solve for S:

S = $27.64 / 2 = $13.82

Therefore, the average cost of a movie ticket in Japan is $17.99 and in Switzerland is $13.82.

B

x y

10 -16

15 -18

20 -20

25 -22

Answer:

c

Step-by-step explanation:

Uh... 84 is correct. Add 60 & 24 and you get 84. Hopefully that helps

Answer:

84

Step-by-step explanation:

12*7=84

12*5=60

7-5=2

84-60=24

The Length of the rectangle is 11 ft and the width is 16 ft

Its the third option :)

Answer:  the correct option is

(D) A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin.

Step-by-step explanation:  We are given two triangles ABC and A'B'C' on the co-ordinate grid.

We are given to select the set of transformations is performed on triangle ABC to form triangle A’B’C’.

From the graph, we note that

the co-ordinate of the vertices of triangle ABC are A(-4, -1), B(-3, -1) and C(-4, -4).

And, the co-ordinates of the vertices of triangle A'B'C' are A'(-1, 1), B'(-2, 1) and C'(-1, 4).

We know that if a point (x, y) is translated 5 units right, followed by a rotation of 180-degrees clockwise about the origin, then its new co-ordinates becomes

(x, y)   ⇒   (-x-5, -y).

So, after these two transformations, the co-ordinates of the vertices of triangle ABC will become

A(-4, -1)   ⇒   (4-5, 1) = (-1, 1),

B(-3, -1)   ⇒   (3-5, 1) = (-2, 1)

and

C(-4, -4)  ⇒  (4-5, 4) = (-1, 4).

The new co-ordinates are the co-ordinates of the vertices of triangle A'B'C'.

Thus, the required set transformations is

A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin.

Thus, option (D) is CORRECT.

[tex]2\pi r\\2\pi23\\144.51[/tex]

Answer: 46 in tall for the circle

Answer:

782

Step-by-step explanation:

You have to multiplied 23  and 34

23 X 34 = 782

Answer:

782 is the answer

Step-by-step explanation:

Multiply 23 x 34 and that gives you 782.