6. Timmy has a rectangular backyard with a width of (x + 3) and a length of (2x + 5). He wants to lay new sod. What is the area of his yard?

Answer:

296 ft²

Step-by-step explanation:   5 18 7 20

There are a few ways to calculate the area of the tihis composit figure.

The one way is to calculate the entire area of the big rectangle with the voided area and substract the smaller voided rectangle

Big rectangle with voided area  

26 × 16   = 26 × 10 + 26 × 6 =  260 + 156 =  416

Small Void Rectangle = 6 × (26 - 2 - 4)

                                    = 6 × 20

                                    = 120

Total area = Big rectangle with voided area - Small Void Rectangle

                 =   416 - 120

                 =  296 ft²

another way is to add up three areas

large filled rectangle +  smaller filled rectangle +  smallest filled rectangle

        10 × 26  +  4 × 6 + 2 × 6

           260 + 24 + 12

                296 ft²

Answer:

18 cheeseburgers

Step-by-step explanation:

yessir

Answer:

Sequoia sold 2 chap sticks while Raven sold 4.

Step-by-step explanation:

Since two friends, Sequoia and Raven, sold organic chap sticks at the local market, and Sequoia sold her chap sticks for $ 4 and Raven sold hers for $ 3 each, and in the first hour, their total combined sales were $ 20, if in the first hour, the friends sold a total of 6 chap sticks between them, to determine the number of chap sticks each of the friends sold during this time the following calculation must be performed:

6 x 4 + 0 x 3 = 24

5 x 4 + 1 x 3 = 23

2 x 4 + 4 x 3 = 20

Therefore, Sequoia sold 2 chap sticks while Raven sold 4.

Answer:

-(p-1) (p-6

Step-by-step explanation:

I hope this helps,good luck with everything.

Answer:

[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is the same, and this quotient is given by q.

The explicit rule of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

1/4, 1/2, 1, 2, 4

This means that [tex]a_1 = \frac{1}{4}[/tex], and:

[tex]q = \frac{4}{2} = \frac{2}{1} = \frac{1}{\frac{1}{2}} = \frac{\frac{1}{2}}{\frac{1}{4}} = 2[/tex]

So the explicit rule is:

[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]

Answer:

[tex] \frac{6}{6 - 2} = \frac{6}{4} = \frac{3}{2} [/tex]

Answer:

[tex] \rm \rightharpoonup \: f(x) = \frac{x}{x - 2} \\ \rm \rightharpoonup \: f(6) = \frac{6}{6 - 2} \\ \rm \rightharpoonup \: \frac{6}{4} \\ \rm \rightharpoonup \: \frac{3}{2} [/tex]

Answer:

1) [tex]m\angle x = 35^{\circ}[/tex], 2) [tex]m\angle x = 60^{\circ}[/tex], 3) [tex]m \angle x = 40^{\circ}[/tex]

Step-by-step explanation:

1) Triangle is a right triangle since tangent line is perpendicular to the radius of the circle. Based on the fact that the sum of internal angles in triangles equals 180°, we find the value of the angle [tex]x[/tex]:

[tex]m\angle x = 180^{\circ} - 90^{\circ} - 55^{\circ}[/tex]

[tex]m\angle x = 35^{\circ}[/tex]

2) Both triangles are symmetrical right triangles since tangent lines are perpendicular to the two radii and common side is parallel to the third radius. Based on the fact that the sum of internal angles in triangles equals 180°, we find the value of the angle [tex]x[/tex]:

[tex]m \angle x = 180^{\circ} - 90^{\circ} - 30^{\circ}[/tex]

[tex]m\angle x = 60^{\circ}[/tex]

3) The figure is formed by two symmetrical right triangles. These triangles are right-angled and symmetrical since tangent lines are perpendicular to the two radii and common side is parallel to the third radius. Based on the fact that the sum of internal angles in quadrilaterals equals 360°, we find the value of the angle [tex]x[/tex]:

[tex]m\angle x = 360^{\circ} - 180^{\circ} - 140^{\circ}[/tex]

[tex]m \angle x = 40^{\circ}[/tex]

Step-by-step explanation:

solution given.

relationship between perpendicular and base is given by tan angle

tan ø=perpendicular/base

ø=tan-¹(4/13)=17.10272897=17° is your answer

Answer:

20 units squared

Step-by-step explanation:

objects/square unit

200/10

20

If the density is 10, then the area of the figure will be 20 square units. Then the correct option is C.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Suppose you cannot identify the known figures in an unknown figure, but you know that its density is 10 and that there are 200 objects in the figure.

Then the area of the figure will be

Area = number of object / density

Area = 200/10

Area = 20 square units

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

Answer: Step-by-step explanation:

List of prime numbers before 41 (including 41 itself): 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41.

Answer:

3 ×2

»(3×20) ×(2×20)

»60 × 40

» (60÷10) ×(40÷10)

» 6 × 4

Option C is your answer

Answer:

the sentence into an inequality.

The product of y and 5 is less than --22

5y<-22

Since -22 is greater

Answer:

5y<-22

Step-by-step explanation:

5y<-22 Because its going to be 5 x y is greater than -22.

Answer:

Step-by-step explanation:

Given expression which gives the distance is 16t².

Here, t = time or duration

For t = 20 seconds,

16t² = 16(20)²

      = 6400 feet

For t = 21 seconds,

16t² = 16(21)²

      = 7056 feet

For t = 22 seconds,

16t² = 16(22)²

      = 7744 feet

For t = 23 seconds,

16t² = 16(23)²

      = 8464 feet

Therefore, complete table will be,

t             20            21           22           23

h         6400       7056       7744     8464    

Answer: B: 20

Step-by-step explanation: We can take 40% as a fraction to make it 4/10, simplifying gives 2/5. 2/5 of 50 is 20!

Hope this Helps!

Answer:

416.87, you subtract all from gross pay.

Step-by-step explanation:

546.54-66-21.86-33.89-7.92=416.87

Answer:

3, 3, and y=3

Step-by-step explanation:

got it right on edge

A ratio expresses the number of times one number contains another. The ratio of the given polynomial is equal to 3.

A ratio expresses the number of times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.

Given the polynomial function, f(x)=(6x³ - x)/(2x³ - x). The leading coefficient is the constant of the term that has the highest power in a given polynomial. Therefore, the leading coefficient of the numerator and the denominator are 6 and 2, respectively. Thus, the ratio of the constant is,

Ratio = 6/2 = 3

Hence, the ratio of the given polynomial is equal to 3.

Learn more about Ratios here:

https://brainly.com/question/1504221

#SPJ2

Answer:

150

Step-by-step explanation:

Answer:

121

Step-by-step explanation:

Answer:

A) The range for the month of October is 6.

C) 35 summarizes the data with a single number.

E) 16 describes how the values vary with a single number.

Step-by-step explanation:

Week 1 | 40 Week 1 | 32

Week 2 | 34 Week 2 | 30

Week 3 | 36 Week 3 | 40

Week 4 | 40 Week 4 | 24

The ordered data can be written out as follows :

October :

34, 36, 40, 40

November :

24, 30, 32, 40

Whole data:

24, 30, 32, 34, 36, 40, 40, 40

Range = maximum - minimum :

October range = 40 - 34 = 6

Summarizing the fat with a single number :

Take the median of the whole data :

1/2(n+1)th term

1/2(9) = 4.5 th term

(34 + 36) /2 = 35

Median for October :

(36 + 40) / 2 = 38

Variation of all values :

Take the range :

40 - 24 = 16

Answer:

27.7"

Step-by-step explanation:

use the pythagorean theorem

a² + b² = c²

a² + 16² = 32²

a² + 256 = 1,024

subtract 256 from both sides

a² = 768

Take the square root of both sides

a = 27.7128129211

a = 27.7"

Step-by-step explanation:

2C – 3B = 2(1+5n-6n²)-3(n+4n²)

= 2+10n-12n²-3n-12n²

= 2 +7n -24n²

The expression (2C-3B) equals to (-24x²+7x+2)

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given are two expression, C = 1+5n-6n² and B = n+4n²

2C = 2+10n-12n²

3B = 3n+12n²

2C-3B = 2+10n-12n² - 3n-12n²

= -24n²+7n+2

Hence, The expression (2C-3B) equals to (-24x²+7x+2)

For more references on expression, click;

https://brainly.com/question/14083225

#SPJ2

Answer:

3√7

Step-by-step explanation:

63 can be divided by 9 and 7. The square root of 9 is 3. so it should be 3√7.

Answer:

B (8x7)-23 is the answer

Subtracting 23 from the product of 8 and 7 can be written as (8 X 7) - 23 option (B) is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

Subtract 23 from the product of 8 and 7

The product of the 8 and 7 can be written as (8 X 7)

Subtract 23 from (8×7)

(8 X 7) - 23

Thus, subtracting 23 from the product of 8 and 7 can be written as (8 X 7) - 23 option (B) is correct.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer:

si tu multiplicas 90° entre 1 te puede dar 50(2)

Answer:

(-3,2)

Step-by-step explanation:

The vertex of an upwards facing parabola is the minimum

The minimum is -3 for the x value and 2 for the y value

(-3,2)

Answer:

900 cm

Step-by-step explanation:

Proportions

1cm  ⇒ 50cm

18cm ⇒ Wcm

W = 18*50/1

W = 900cm

Answer:

1, 2, 3, 6, 9, 18

Step-by-step explanation: