Lucille wants to carpet her family room. Her family room is rectangular and has a length of 21 feet and a width of 17 feet. How many square feet of carpet will Lucille need to buy? feet? If the carpet costs $2.25 a square foot, how much money will it cost Lucille to carpet her family room? ​

Answer:

[tex]2x^3y^3[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{2x^5y^7} * \sqrt[3]{4x^4y^2} \\\\2x^3y^3[/tex]

Using our trig functions, we know that tan x = opposite side of a right triangle divided by the adjacent side of the right triangle.

So, tan x = p/r.

Answer: tan x°

The trigonometric function gives the ratio of different sides of a right-angle triangle. The ratio of p and r can be written as tan(x°) and sec(y°).

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

As per the given figure, the ratio of the p\r can be written as shown below,

In terms of angle x,

tan(x°) = p units / r units

tan(x°) = p/r

In terms of angle y,

tan(y°) = r / p

1 / tan(y°) = r/p

sec(y°) = r/p

Hence, the ratio of p and r can be written as tan(x°) and sec(y°).

Learn more about Trigonometric functions:

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Answer:

Amir's car will cost £10348.88 after 23 years.

Step-by-step explanation:

I finally found a UK human!

This is compound interest so you have to find a decimal multiplier and multiply that with £16470 to the power of 23.

The decimal multiplier would be 0.98. This is because you do 100% - 2% as depreciating basically means a decrease, which gives you 98% and then you divide that by 100 to get your decimal multiplier - 0.98.

16470 × [tex]0.98^{23}[/tex] = £10348.88

I hope that helps you!! ^-^

Answer:

[tex]\huge\boxed{\text{B) } 22.5 \ \text{feet}}[/tex]

Step-by-step explanation:

We can use basic trigonometric functions to find the closest height of the escalator.

Let's set up a picture from what we already know. The length of the escalator is 30 feet, and it forms a 41 degree angle with the top. Since it will form a 90 degree angle with the ground, we can find the angle between the ground and the beginning of the escalator.

Since all triangles have an angle sum of 180:

Now we know that the triangle looks something like this.

                   /  | 41°

                 /    |

               /      |

            /         |

30      /           |

       /              |                                                

     /                |

  /                   |

/__________| 90°

49°

We need to find the length of the side between the 41 and 90° angle.

To find which trigonometric operation to use on this triangle, we can use the acronym SOH CAH TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

We can use the sine of the 49 degree angle (opposite / hypotenuse) to find our missing side (since we know the hypotenuse).

Let's set up an equation and solve with our calculator.

We can calculate the sine of 49 with our calculator. We'd end up multiply 30 and that value and get 22.6.

Since the closest value to 22.6 on the answer choices is 22.5, the correct answer would be B) 22.5 feet.

Hope this helped!

Answer:

The answer is B.

Step-by-step explanation:

B. 22.5 feet

Answer:

40%

Step-by-step explanation:

If there are 1200 students in the school and 720 of them are boys that means 480 of them are girls.

I like to do cross multiply and divide so the equation for that would be  480/120 = ?/100

if you cross and multiply 480 by 100 you will get 48000 then if you divide that by 1200 you will get 40 as your missing value.

Im basically just saying 480/1200 = 40%

If you need further help there are plenty of you tube videos on how to cross  multiply and divide

Hope this helps

- Please mark brainliest :)

9514 1404 393

Answer:

  y = 2/3x -20/3

Step-by-step explanation:

The perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line:

  -1/(-3/2) = 2/3

You can use the point-slope form to write the equation of that perpendicular line.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y +2 = 2/3(x -7) . . . . . the equation of the perpendicular line

__

This can be put into slope-intercept form by solving for y and simplifying.

  y +2 = 2/3x -14/3

  y = 2/3x -20/3

Answer:

No answer just clues

Step-by-step explanation:

x/100*160/1=185/1

y/100*56/1=77/1

I just can't do anymore metal math today, sorry.

Answer:

y^2

step-by-step-explanation:

Given:

The equation of a circle is:

[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]

To find:

The center of the circle and its radius.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]          ...(i)

Where, (h,k) is center and r is the radius of the circle.

The given equation of the circle is:

[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]

Write the given equation in standard form of a circle.

[tex](x^2-x)+(y^2-2y)-\dfrac{11}{4}=0[/tex]

[tex]\left(x^2-x+\left(\dfrac{1}{2}\right)^2\right)+(y^2-2y+1^2)-\dfrac{11}{4}-\left(\dfrac{1}{2}\right)^2+1^2=0[/tex]

[tex]\left(x-\dfrac{1}{2}\right)^2+(y-1)^2-\dfrac{11}{4}-\dfrac{1}{4}-1=0[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2-\dfrac{12}{4}-1=0[/tex]

On further simplification, we get

[tex]\left(x-0.5\right)^2+(y-1)^2-3-1=0[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2-4=0[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2=4[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2=2^2[/tex]            ...(ii)

On comparing (i) and (ii), we get

[tex]h=0.5,k=1,r=2[/tex]

Therefore, the center of the circle is (0.5,1) and radius is 2 units.

Answer: 5.5

When you subtract 5.5 from 5.5 you get 0

Answer:

$12644.56

Step-by-step explanation:

one year = 12 month

4,000 * (1.02)^(6*12) = 16644.5615

16644.5615-4000 = 12644.5615

Answer:

Step-by-step explanation:

[tex]A=P(1+r/c)^{ct}\\ \\ A=4000(1+.02/12)^{12(6)}\\ \\ A\approx \$ 4509.54[/tex]

Answer:

0.87

Step-by-step explanation:

y = ab^x

b is the rate of decay if it is between 0 and 1. Here, b = 0.87.

Answer: 0.87

Answer:

6 ≤x

Step-by-step explanation:

12 + 11/6x ≤ 5+3x

Subtract 11/6x from each side

12 + 11/6x - 11/6x ≤ 5+3x-11/6x

Subtract 5 from each side

12 + 11/6x - 11/6x -5 ≤ 5+3x-11/6x-5

7 ≤ 3x-11/6x

Get a common denominator

7 ≤ 18/6x-11/6x

7 ≤7/6x

Multiply each side by 6/7

6/7 *7 ≤ 6/7 *7/6x

6 ≤x

Answer:

7×7-5/7+3(5)

49-5/7+15

44/22

=2

so c squared - b

over c+3b is =2

Answer:

E, 297.1

Step-by-step explanation:

First, find the area of the triangle using the formula a= (bh) / 2

Base x height would be 16 x 12, which is 192

192 / 2 is 96 sq meters

Then, find the area of the circle using the formula a= Pi (r^2)

If the diameter is 16, the radius would be 8 because you divide by 2

8^2 is 64, 64 times Pi is approximately 201.1

Finally, add the areas together, 96 + 201.1 is 297.1 or E

Step-by-step explanation:

e. >

f. <

g. =

h. >

i. =

j. <

.....

Answer:

e. >

f. <

g. =

h. >

i. =

j. <

Answer:

$1470

Step-by-step explanation:

$2100 * 70% = $1470

Answer:

155

Step-by-step explanation:

Answer:

155⁰

Step-by-step explanation:

You can see that the figure above is a vertical angle. This means that :-

<a is congruent to <c

<b is congruent to <d

Since <a is 155⁰ and is congruent to <c, this means that <c 8s also 155⁰.

Hope this helps and I would appreciate if you give me the brainlist or not, thank you :) !!

Answer:

180

Step-by-step explanation:

Answer:

$9,151.38

Hopefully that is correct!!

Answer:

30f+25 I hope it is a right answers

I hope this answers is useful for you

Answer:

30/40 and 12/16 are equivalent fractions.

Answer:

i think is is 64a

Step-by-step explanation:

Answer:

[tex](8 - 3a)(8 - 3a) \\ 8(8 - 3a) - 3a(8 - 3a) \\ 64 - 24a - 24a + 6a {}^{2} \\ 64 - 48a + 6a {}^{2} \\ 6a {}^{2} - 48a + 64[/tex]

Answer:

about 62%

Step-by-step explanation:

add all of the numbers

subtract the number of purple skittles

do 16÷26

multiply your answer by 100

get 61.5

round up

Answer:

The slope is 4

Step-by-step explanation:

rise over run

Answer:

8+4

Step-by-step explanation:

Hope this is helpful ! have an amazing day... God Bless you :)

Answer:

8x + 4

Step-by-step explanation:

To answer, we have to make sure to hand out the 4 evenly so that each number or variable within the parentheses gets multiplied by 4:

4(2x + 1) = 8x + 4

As you can see, we multiplied each number inside by the number outside, and we got 8x + 4 as our answer.

Hope this helps :)

Answer:

Step-by-step explanation:

85°

Answer:

60

Step-by-step explanation:

All the sides are equal