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The length of Marisa's garden is 10

The given parameters are:

Perimeter = 32 feet

Width = 6 feet

The perimeter is calculated as:'

Perimeter = 2 * (Length + width)

So, we have

2 * (Length + 6) = 32

Divide by 2

Length + 6 = 16

Subtract

Length = 10

Hence, the length of Marisa's garden is 10

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The correct transformation that describes why rectangles ABCD and A′B′C′D′ are similar is Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′.

Dilation is a transformation that changes the size of an object while maintaining its shape. In this case, the coordinates of rectangle ABCD were multiplied by a scale factor of 5 to obtain the coordinates of rectangle A′B′C′D′.

This means that each side length of rectangle ABCD was multiplied by 5 to get the corresponding side length of rectangle A′B′C′D′.

The reflection across the y-axis and the rotation of 90° counterclockwise would result in different shapes and orientations, not maintaining the similarity between the two rectangles.

The dilation by a scale factor of 15 or 1/5 would also change the proportions and not result in a similar rectangle.

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Answer:

A. 72°

D. 144°

E. 216°

Step-by-step explanation:

I just answered this.

in short : we rotate each vertex on a circle arc. the center of that circle being P.

so, at the end of every 1/5 of the circle arc there is a vertex of the polygon.

therefore, with every 1/5 of a full circle rotation we move the pentagon visually onto itself.

that is starting at

360/5 = 72°

and then every additional 72°

144°

216°

288°

360°

so, A, D and E are correct

Amount of $150,000 represents 42.86% of $350,000.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Danny’s home cost $350,000. The federal government program for flood damage insurance covers only $150,000.

Assume that it represents [x%] percent of the total value. Then, we can write -

x = (150000/350000) x 100

x = 42.86%

Therefore, $150,000 represents 42.86% of $350,000.

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Answer:

Step-by-step explanation:

$2.12 - $1.65 = $0.47
$0.47 x 65 = $30.55 profit.

This is an exercise in the formula to calculate the profits obtained from the sale of a product, it is an essential tool in the management of any business. By knowing the profits obtained from the sale of a product, business owners and managers can make informed decisions and adjust their business strategies to maximize their profitability.

Profit is calculated by subtracting the total costs of production from the total revenue earned from the sale of a product. Total production costs include not only the direct costs associated with manufacturing the product, but also indirect costs, such as advertising and marketing costs, the cost of packaging materials, and other overhead.

The total income obtained from the sale of a product is the product of the number of units sold by the sale price per unit. It is important to remember that the selling price per unit must be sufficient to cover both the direct and indirect costs of production, and to provide a reasonable profit.

Once the profit earned from the sale of a product has been calculated, business owners and managers can use this information to improve their profitability. If profits are low, they might consider lowering production costs, raising the selling price, or finding ways to sell more units. On the other hand, if profits are high, they might consider increasing their investment in advertising and marketing to attract more customers and expand their business.

In addition, profit calculation can also help business owners and managers assess the feasibility of launching a new product or expanding into new markets. By calculating total production costs and potential total revenue, they can determine if the new product or market is profitable and make informed decisions about whether to proceed with the launch or expansion.

The total cost of making the handles is the product of the number of handles times the cost per unit:

Total cost = 65 potholders × $1.65/potholder = $107.25

The total revenue from selling the handles is the product of the number of handles times the selling price per unit:

Total revenue = 65 potholders x $2.12/potholder = $137.8

Elmo's profit is the difference between total revenue and total cost:

Profit = Total Revenue - Total Cost

Profit = $137.8 - $107.25 = $30.55

Profit = $30.55

Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

We get the cost of the system and cost of the games  as $126 and $378 respectively.

Given, the price of the video game and several games are sold for $504.

The cost of the game is 3 times as much as the cost of the system.

we need to determine the cost of the system and the cost of the game = ?

Let x = the cost of the games.

Let y = the cost of the system.

therefore, x+y=504

and y = 3x

substitute the value of y.

⇒ x + y = 504

⇒ x + 3x = 504

combine like terms.

⇒ 4x = 504

Divide both sides by 4.

⇒ x = 504/4

⇒ x = 126

The cost of the system is $126.

Use y = 3x substituting 126 for x.

g = 3(126)

g = 378

The cost of the games is $378.

Hence we get the cost of the system and cost of the games as $126 and $378 respectively.

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We have to use the central angle theorem, which states that an arc and its central angle are congruent.

Answer: 3rd option

Step-by-step explanation: square root of 13 is 3.60 so it lines up perfectly on the number line

Answer:

C) 20cm

Step-by-step explanation:

Perimeter is the distance around the edge of the shape.

8 + 7 + 5 = 20

Answer:

20 is answer

Step-by-step explanation:

as perimeter= sum of all side

= 8 +7+5=2ocm

Answer:

The airplane is 100.4 flying at an altitude of 30,000 feet. AB = 210,000 feet. At what angle is the plane descending (the angle of depression)?. Above is a picture of astronauts ...

7 pages·477 KB

The straight line distance between the submarine and the airplane is 4000 feet.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let d represent the straight line distance between the submarine and the airplane. Hence:

sin(30) = 2000/d

d = 4000 feet

The straight line distance between the submarine and the airplane is 4000 feet.

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Answer:

See below.

Step-by-step explanation:

I assume the fraction 3/5 is raised to the 3rd power.

I assume this is the given expression.

\( (\dfrac{3}{5})^3 \)

The base is 3/5    True

The base is 3     False

The exponent is 3    True

The expanded form is \( \dfrac{3}{5} \times \dfrac{3}{5} \times \dfrac{3}{5} \)       True

The expanded form is \( \dfrac{3 \times 3 \times 3}{5} \)     False

\( (\dfrac{3}{5})^3 = \dfrac{9}{15} \)      False

\( (\dfrac{3}{5})^3 = \dfrac{27}{125} \)      True

Step-by-step explanation:

might be option c is a correct answer of your given question

Answer:

Slope- y=1/4x-6

Y intercept= (0,-6)

Hope this helps!

Square Area = side x side = 3x3 = 9

Rectangle Area = side x side= 7x3= 21

9 + 21 = 30 square inches

Answer:

30 square inches

Step-by-step explanation:

   \(\boxed{\text{\bf Area of rectangle = length *width}}\)

Rectangle1:

     Area = 6 * 3

              = 18 square inches

Rectangle2:

Area = 4 * 3

          = 12 square inches

Area of the figure = area of rectangle1 + area of rectangle2

                             = 18 + 12

                             = 30 square inches

Answer:

X = 33°

Step-by-step explanation:

I hope you understood from the pic but if you have further questions do let me know

Answer:

the answer is dino nuggets

Step-by-step explanation:

Answer:

Step-by-step explanation:

Im in my mums car vroom vroom

Answer: wow here's answer its 4

Step-by-step explanation:

Answer:

4

Do you need an explanation?

Based on the amount deposited and the interest rate, the accumulated amount after 2.5 years is KSh 405,745.92.

First find the period of compounding:

= Number of years x Period of compounding

= 2.5 x 2 a year

= 5 semi annual periods

Interest is:

= 6% / 2

= 3% per semi annum

= Amount deposited x ( 1 + rate) ^ number of years

= 350,000 x ( 1 + 3%) ⁵

= KSh 405,745.93

In conclusion, amount accumulated is KSh 405,745.92.

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Answer:

 (0,12/5)

Explanation

Complete Question

The complete question is shown on the first uploaded image

Answer:

The integral  is divergent

Step-by-step explanation:

From the question we are told that

   The equation given is  

                   \(\int\limits^{\infty}_1 {35 \frac{ln(x)}{x} } \, dx\)

Let    \(v = ln x\)

=>    \(\frac{dv}{dx} = \frac{1}{x}\)

=>    \(du = \frac{dx}{x}\)

So  

         \(\int\limits^{\infty}_1 {35 \frac{ln(x)}{x} } \, dx = 35 \int\limits^{\infty}_1 { u} \, du\)

=>     \(\int\limits^{\infty}_1 {35 \frac{ln(x)}{x} } \, dx = 35 [\frac{u^2}{2} ] | \left {\infty } } \atop {1}} \right.\)

=>     \(\int\limits^{\infty}_1 {35 \frac{ln(x)}{x} } \, dx = \frac{35}{2} [(ln (x))^2] | \left {\infty } } \atop {1}} \right.\)

=>     \(\int\limits^{\infty}_1 {35 \frac{ln(x)}{x} } \, dx = \frac{35}{2} [ [(ln (\infty))^2] - [(ln (1))^2] ]\)

=>     \(\int\limits^{\infty}_1 {35 \frac{ln(x)}{x} } \, dx = \frac{35}{2} [ \infty - [(ln (1))^2] ]\)

=>     \(\int\limits^{\infty}_1 {35 \frac{ln(x)}{x} } \, dx = \frac{35}{2} [ \infty ]\)

=>     \(\int\limits^{\infty}_1 {35 \frac{ln(x)}{x} } \, dx = \infty\)

Hence given that the solution to the integral  is \(\infty\)  then it mean that the integral is divergent

The figure consist of parallelogram, square and right angle triangle.

The dimension of parallelogram is.

Base B= 14

Height H = 5.

The dimension of square is,

side a = 7.

The dimensions of rectangle is,

Base b = 16

Height h = 7 cm

Determine the area of composite figure.

Thus area of composite figure is 175 square centimeter.

Answer: C

Step-by-step explanation:

\(4 + 20 = 8d \\ \\ 8d = 24 \\ \\ d = \frac{24}{8} \\ \\ d = 3.\)

The value of d is 3 .

Answer:

im an expert

Step-by-step explanation:

Answer:

Step-by-step explanation:

W=\(\sqrt{x-a/a}\)

squaring both sides

W^2=(\(\sqrt{x-a/a}\) )^2

W^2=x-a/a

wa=x-a

a=x-a/w

\( \boxed{\boxed{\huge{ \mathrm{  \underline{ Answer} \:  \:  ✓ }}}}\)

_____________________________

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Answer:

123 save some for me

Step-by-step explanation:

:0

Answer: 123

Step-by-step explanation: I did the math- lol-

Answer:

Below

Step-by-step explanation:

Put the numbers into the pythagorean theorem to see if true

12^2   + 15^2    =   18^2    ??????

144 + 225   =  324   ?????

369 = 324 ??????   <========= not true ....not a triple