The width of a rectangular window is
(2x + 6) inches, and its height is (3x + 10) inches (see
figure). Find an expression for the area of the window.

Answers

Answer 1
Area is length times width. So do 2x +6 times 3x + 10 and if you FOIL you get 6x^2 + 38x + 60

Related Questions

Convert 4pi/5 to degrees.

Answers

Answer:

To convert radians to degrees, multiply by 180π , since a full circle is 360° or 2π radians. Cancel the common factor of π .

Answer:

144∘

Step-by-step explanation:

4π5⋅180∘π=144∘

Look at the image bel9w

Answers

Answer:

it's your answer

Step-by-step explanation:

60+5(6÷2)

60+30÷10

60+3

63

18+(10-6)square

18+(100-36)

18+64

82

Cpm homework 8.1.1 problems 8-5, 8-6, 8-7, 8-9 I can’t find the answers nowhere and it’s so hard I need to show answers.

Answers

8-6a. 110
8-6b. 20
8-6c. 48
8-6d. 108
8-7 C and H are not polygon, the rest are all polygon

The solutions are,

8-6a. 110

8-6b. 20

8-6c. 48

8-6d. 108

8-7 C and H are not polygon, the rest are all polygon

The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.

What is Area ?

Area is the space occupied by a two dimensional object,

The area and perimeter of the given shape can be determined by dividing it into basic shapes.

here, we have,

The area and the perimeter of the shape given

= Area of the rectangle +Area of upper triangle - Area of two small triangles at the bottom

Area of rectangle = 5 mi * 9 mi = 45 sq.mi

Area of upper Triangle = (1/2) *9*3 = 27/2 sq.mi

Area of small Triangle = (1/2) * 3*6 = 9 sq.mi

Area of other small Triangle = (1/2)*3*3 = 9/2 sq.mi

Area of the figure = 45 +13.5 -9-4.5

Area of the figure =  45 sq.mi

Similarly for Perimeter = Perimeter of the rectangle +Perimeter of upper triangle -Perimeter of two small triangles at the bottom

Perimeter = 28 -(3+6+6.708) -(3+3+4.2426) +(3+9+9.486

Perimeter = 23.5354 mi

Therefore , The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.

To know more about Area

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Review the incomplete steps in the derivation of the tangent sum identity.

A 2-column table with 5 rows. Column 1 has entries Step 1: Original expression, step 2: rewrite using the definition of tangent, step 3: apply the sine sum identity and cosine sum identity, step 4: question mark, step 5: simplify using the definition of tangent. Column 2 has entries tangent (x + y), StartFraction sine (x + y) Over cosine (x + y) EndFraction, StartFraction sine (x) cosine (y) + cosine (x) sine (y) Over cosine (x) cosine (y) minus sine (x) sine (y) EndFraction, blank, StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction.
Which action can be taken to the expression in Step 3 to give an expression for Step 4?
divide both the numerator and denominator by sin(x)sin(y)
divide both the numerator and denominator by sin(x)cos(y)
divide both the numerator and denominator by cos(x)sin(y)
divide both the numerator and denominator by cos(x)cos(y)

Answers

Answer:

D divide both the numerator and denominator by cos(x)cos(y)

Step-by-step explanation:

just took test

The derivation of tangent sum identity taken to the expression in Step 3 to give an expression for Step 4 is option D; divide both the numerator and denominator by cos(x)cos(y).

What is trigonometric identity?

The trigonometric identities is the relationship between the different trigonometric ratios.

These trigonometric identities are the basic formulae that are true for all the values of the reference angle.

For the given situation, the derivation for the tangent sum identity is given in the table below.

The derivation follows the steps,

[tex]\dfrac{sin (x+y)}{cos (x +y)}[/tex]

we know that,

sin (x + y) = sin x cos y + cos x sin y

cos (x + y) = cos x cos y - sin x sin y

Substitute;

[tex]\dfrac{sin x cos y + cos x sin y}{cos x cos y - sin x sin y}[/tex]

Divide each term by cos x cos y

[tex]\dfrac{\dfrac{sin x cos y}{cos x cos y} + \dfrac{cos x sin y}{cos x cos y} }{\dfrac{cos x cos y}{cos x cos y} - \dfrac{sin x sin y}{cos x cos y} }[/tex]

Now, [tex]\dfrac{tan x + tan y}{1 - tan x tan y}[/tex]

Hence we can conclude that the derivation of tangent sum identity taken to the expression in Step 3 to give an expression for Step 4 is option D; divide both the numerator and denominator by cos(x)cos(y).

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Walking Robert walks 7 blocks east from his home and arrives at his favorite restaurant. When he​ arrives, he discovers that he dropped his wallet along the way. He retraces his steps for 5 blocks until he finds his wallet. An expression for how many blocks east Robert is from his home after finding his wallet is the sum 7+​(−​5).

Answers

Answer:

2 block east from home

Step-by-step explanation:

Given an expression for how many blocks east Robert is from his home after finding his wallet as the sum 7+​(−​5),

Simplifying the given expression

7+(-5) = 7-5 (note that the product of a plus and minus sign will give a minus sign)

7-5 = 2

Hence Robert will be 2 block east from home

help me please quickly

Answers

Answer:

(1)  4

Step-by-step explanation:

Isolate x.

[tex]\frac{x-2}{3}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{5}{6}[/tex]

[tex]\frac{x-2}{3}[/tex] = [tex]\frac{5}{6}[/tex] - [tex]\frac{1}{6}[/tex]

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

[tex]\frac{x-2}{3}[/tex] × 3 = [tex]\frac{2}{3}[/tex] × 3

x - 2 = 2

x = 2 + 2

x = 4

Here is a list of numbers:
10, 3, -2, 19, -19, 4, 13, 6, 7
State the median.​

Answers

Answer:

the answer is 6

Step-by-step explanation:


When factored completely, x3+ 3x2 - 4x-12 equals?

Answers

Answer:

(x - 2) (x + 2) (x + 3)

Step-by-step explanation:

Dont know the full thing but hope some of this helps!

Answer:

(x - 2) (x + 2) (x + 3)

Step-by-step explanation:

Mr. Tang gives a math test worth 90 points that contain 25 questions. Multiple-choice questions are worth 3 points and word problems are worth 4 points. How many of each type of question are there?

Answers

Answer:

m=10

w=15

Step-by-step explanation:

m + w = 25

3m + 4w = 90

Let's do substitution, first by solving the first equation for m.

m = 25 - w

Substitute!

3(25 - w) + 4w = 90

75 - 3w + 4w = 90

w = 15

m = 25 - 15 = 10

Four friends share 10 fruit bars equally. How many fruit bars does each friend get?

Answers

Answer:

2.5

Step-by-step explanation:

10 / 4 = 2.5

Sara’s recipe calls for 6 1/3 cups of cake mix and 1 1/8 cups of water to make 8 servings. How many cups of cake mix and water do you need for 1 serving? (Use scale factor)

Answers

Answer: cups of cake mix: 19/24 cups of water: 11/64

Step-by-step explanation:

Because it is not dividing by a fraction all you have to do is multiply its denominator by 8.

Jacob went shopping to buy a new pair of jeans. After paying an 8% sales
tax the total bill was $64.80. What were the price of the pants before the
sales tax was added? Hint: This is a working backwards problem.
What was the original price of the jeans?

Answers

64.80-0.08=59.62

59.62 is the original price of the pants

If y = 3x^4 -2x^3-7x+5, find dy/dx.

Answers

Dy/dx = 12x^3 - 6x^2 - 7

The derivative of [tex]y = 3x^4 - 2x^3 - 7x + 5[/tex] with respect to x is

dy/dx = 12x³ - 6x² - 7.

We have,

The power rule states that if we have a term of form a[tex]x^n[/tex], the derivative with respect to x is given by [tex]d/dx(ax^n) = nax^{n-1}.[/tex]

Applying the power rule, we differentiate each term as follows:

[tex]d/dx(3x^4) = 3 \times 4x^{4-1} = 12x^3\\d/dx(-2x^3) = -2 \times 3x^{3-1} = -6x^2\\d/dx(-7x) = -7 \times 1x^{1-1} = -7[/tex]

d/dx (5) = 0 (since 5 is a constant)

Combining these derivatives, we get:

dy/dx = 12x³ - 6x² - 7

Therefore,

The derivative of [tex]y = 3x^4 - 2x^3 - 7x + 5[/tex] with respect to x is

dy/dx = 12x³ - 6x² - 7.

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please help for bainlest

Answers

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4} -\frac{1}{3}[/tex]

Find the common denominator and multiply each side by that number

[tex]\frac{9}{12} -\frac{4}{12}[/tex]

[tex]\frac{5}{12}[/tex]

For bolded part in explanation: 4·3=12 3·3=9

                                                    3·4=12 1·4=4

Solve 1/3+b>3/4. Graph the solution.
Pls i need help. i give u over 5 points. i need helppp

Answers

1/3+b>3/4= 1 over 3rd. + b&gt =bgt; 3/4

Which of the following is the point-slope form of the equation of the line with slope 4
that crosses the point (1, 3)?
Oy-1= 4(x – 3)
Oy+1= 4 (2+3)
Oy-3= 4(x - 1)
Oy+3 = 4(x+1)

Answers

Answer:

Third option

[tex]y-3=4(x-1)[/tex]

Step-by-step explanation:

Equation of straight line in point slope form is given as

[tex]y-y_1=m(x-x_1)[/tex]

Here

slope=m=4 and [tex](x_1, y_1) = ( 1, 3 )[/tex]

Equation of straight line having slope 4 and crossing from point (1, 3) is given as

[tex]y-3=4(x-1)[/tex]

Find the length of each segment write your answer in simplest radical form. I NEED HELP ASAP

Answers

Answer:

1. 5

2. [tex]\sqrt{85}[/tex]

3. [tex]\sqrt{26}[/tex]

Step-by-step explanation:

1. just count the units: 5 units

2. Find the slope = rise/run = -7/6

you now have a right triangle, one side is 7 units (from the rise), and the other is 6 units (from the run)

use the pythagorean theorem to find the hypotenuse.

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]7^{2} + 6^{2} = c^{2}[/tex]

49 + 36 = [tex]c^{2}[/tex]

85 = [tex]c^{2}[/tex]

[tex]\sqrt{85} = \sqrt{ c^{2}[/tex]

[tex]\sqrt{85} = c[/tex]

Simplify the radical, but [tex]\sqrt{85}[/tex] is farthest that it can go, so that is the answer.

3. same process as 2

slope = -1/5

[tex]1^{2} + 5^{2} = c^{2}[/tex]

1 + 25 = [tex]c^{2}[/tex]

26 = [tex]c^{2}[/tex]

[tex]\sqrt{26} = c[/tex]

That is the farthest it can go, so that will be the answer.

10. The hour hand of a clock is 8 cm long.
What area does it cover in:
(a) 12 hours?

Answers

Well the simple answer would be 96 the surface of 96 cm

expand and simplify (x-4)(x-1)

Answers

Step-by-step explanation:

(x - 4)(x - 1)

= x² - x - 4x + 4

= x² - 5x + 4.

Answer:

[tex]\huge(x - 4)(x - 1) \\ \huge= {x}^{2} - x - 4x + 4 \\ \huge = {x}^{2} - 5x + 4[/tex]

(x^2-5x+4) is the right answer.

HURRY ITS IMPORTANT 7
What decimal represents ten and seventy-five hundredths? Show your work.

Answers

Answer:

10.75

Step-by-step explanation:

The correct answer is 10.75

A recipe for grape Gatorade calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.
1. How much sparkling water would you need to mix with 9 quarts of grape juice?


(Please help)

Answers

Answer: 3 1/2

Step-by-step explanation:

Yes

Answer:3 1/2

Step-by-step explanation:

Suppose that a​ person's peak blood alcohol level is0.04 ​(grams per 100​ mL) and that this level decreases by 20​% each hour.

Answers

I think cus she said she was she she she

Answer:

Step-by-step explanation:

incomplete question

11 (9+ d)
simplify

help me pleas

Answers

Answer:

it issss 99+11d :)

Step-by-step explanation:

hope I helped

Answer:

99 + 11d

Step-by-step explanation:

11(9+d)

distribute the 11 into the ( )

99 + 11d

Hope this Helps!!!

100 POINTS! SOLVE FOR X. PIC ATTACHED. Random answers will be reported.

Answers

Answer:

x = 29

Step-by-step explanation:

The angles (2x- 10) and (4x+ 16) are consecutive interior angles and therefore are corresponding

Corresponding angles sum to 180

(2x - 10) + (4x + 16) = 1806x + 6 = 1806x = 174x = 174/6x = 29

Miguel designs a square garden. Each side length is 3x + 5. Write an expression to find the perimeter of Miguel’s garden.

Answers

Answer:

12x+20

Step-by-step explanation:

Perimeter of a garden = 4s, s being the length of the side

In this case, s = 3x+5

substitute the equation

4(3x+5)

=12x+20

Select the equation that is true.

Answers

Answer:

you didnt attach anything

Step-by-step explanation:

List 4 true angle facts about the illustration created by
AD intersects FK at point M.

Answers

Acute angles are less than 90 , right angles are 90 , straight lines are 180


please help
this is due at noon so anyone who knows this help me.

Answers

Answer:

70x+4^2+3

Step-by-step explanation:

7 candes cost £45.29,
how much would 25 candles cost?

Answers

Answer:

161.75

Step-by-step explanation:

45.28 divided by 7 = 6.47

6.47 per cande

6.47 times 25 = 161.75

A line passes through the points (-1, 2) and (7,6). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.​

Answers

Answer:

[tex]y = \frac{1}{2} x + \frac{5}{2} [/tex]

Step-by-step explanation:

hope this helps!

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