Allison and Lindsey each measured their bedrooms for new carpeting. They found
that both rooms were square, with the length of Lindsey's room 3 feet longer than
Allison's. If Lindsey needed 225 square feet of carpeting, how many square feet of
carpeting did Allison need?

Answer:

no solutions

Step-by-step explanation:

We want to find [tex]\theta[/tex] such that [tex]\theta=\sin^{-1}(1.1976)[/tex].

We can take the sine of both sides of the equation to get[tex]\sin(theta)=\sin(\sin^{-1}(1.1976))=1.1976[/tex].

We know that the range of the sine function goes from -1 to 1 inclusive, so there is no value [tex]\theta[/tex] such that [tex]\sin{\theta}>1[/tex].

Therefore, the answer is [tex]\boxed{no~solutions}[/tex] and we're done!

Answer:

y = x + 5

Step-by-step explanation:

The y values are 5 more than the x values.

Answer:

65%

Step-by-step explanation:

$2 = 5%

So $26 = 65%

Answer:

$26 is 65%​ of $40​.

Step-by-step explanation:

26: 40*100 =

(26*100): 40 =

2600: 40 = 65

Answer:

BC = 20

Step-by-step explanation:

Since B is the midpoint of AC , then

AB = BC = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 40 = 20

Answer:

The inequality is x/5 < 20, and 100 is in the box.

Step-by-step explanation:

x = the amount she spends in June.

So, since she spends an equal amount five times, the amount she spends each time is x/5.

She wants this to be less than 20.

So, x/5 < 20.

Solving for x by multiplying both sides of the equation by yields

x < 5 * 20

x < 100, so that 100 goes into the box.

Answer is 352 metres

The cloud is moving at a constant velocity. This means that we can find the velocity of the cloud by dividing the distance it moved by time:-

[tex]v = \frac{d}{t} [/tex]

Where "v" is velocity, "d" is distance and "t" is time.

The cloud moved 7920 metres in 22.5 minutes, so :-

[tex]v = \frac{7920 \: m}{22.5 \: min} [/tex]

[tex]v = 352 \: m/min[/tex]

Therefore, the cloud's velocity was 352 m/min.

✍️ By Benjemin ☺️

The answers that complete the statements of the series of transformations are;

- △ABC to △A′B′C′; because the △ABC has been rotated at angle of 180° about the origin.

- △A′B′C′ to △A′′B′′C′′; Because the △A′B′C′ has been shifted down by 3 units.

- All 3 transformations are rigid transformations

- All three transformations are congruent transformations.

From the image attached, we see the following coordinates of the triangles;

Coordinates of △ABC; A(1, -1), B(4, -2), C(7, 2)

Coordinates of △A′B′C′; A'(-1, 1), B'(-4, 2), C'(-7, -2)

Coordinates of ​△A′′B′′C′′; A''(-1. -2), B''(-4, -1), C''(-7, -5)

Read more at; https://brainly.com/question/11254677

Answer:

x=-58/15

Step-by-step explanation:

Answer:

Secant, cosecant and cotangent.

Step-by-step explanation:

Step-by-step explanation:

There are three reciprocal trigonometric functions, making a total of six including cosine, sine, and tangent. The reciprocal cosine function is secant: sec(theta)=1/cos(theta). The reciprocal sine function is cosecant, csc(theta)=1/sin(theta). The reciprocal tangent function is cotangent, expressed two ways: cot(theta)=1/tan(theta) or cot(theta)=cos(theta)/sin(theta).

The answer is C

The best answer is C

Answer:

True

Step-by-step explanation:

Answer:

190 is the answer of the equation.

Step-by-step explanation:

a(b + c) × 2

Now putting the values of a,b and c.

5(7+12)×2

= 5(19)×2

= 95×2

= 190

Answer:

-1  3/ 4

Step-by-step explanation:

Answer:

f(12) = 185

Step-by-step explanation:

Plug 12 into every n variable of the given equation:

20 + 15(n - 1)

20 + 15(12 - 1

20 + 15(11)

20 + 165 =

f(12) = 185

Hope this helps!

Answer:

Step-by-step explanation:

Calculate f(12) if f(n) = 20 + 15(n-1) *

Ed collects autographs. The graph shows the total number of autographs

that Ed has collected over time, in weeks. Find f(12), and explain what

it represents.

Number of autographs

1 n)

90

80

(5,80)

70

(465)

60

50 13,50)

40

30

(2,35)

20 . (1, 20)

10

n

0

1 2 3 4 5 6

Time (weeks)

f(12)= 200

f(12)=185

f(12)= 385

(12) = 420

Answer:

i think it's 18 but im not sure

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

Equation for percentage change is

Difference/total x 100

so 4560/12000x100=38%

Answer: i’m sure it’s 62%

Step-by-step explanation:

Answer: A Because 29.9 but it was probally rounded off.

Step-by-step explanation:

Use the Pythagorean theorem:

x = sqrt(15^2 + 23^2)

x = 27.5m

Answer: A. 27.5m

Answer:

The answer is C

Step-by-step explanation:

t = bill for the customer

h= number of hours Dj worked

1) t = 75h + 35

This is wrong because h represents the number of hours the Dj worked. 75 is how much the customers paid as a setup fee.

2) t = 35 + 75

This is wrong because it's asking you to use "h" and "t" to determine the total. This is just a regular equation.

3) t = 35h + 75

This is right because as it says in the problem "The price of the Dj is $35 per hour" It also says use "h" to represent the number of hours the DJ works.

The "t" is used for the customer bill and 75 represents the setup fee

4) h = 35t + 75

This is wrong because h respresents how many hours the DJ works.

"t" represents the bill for the customer. The "t" would be in the beginning of the equation and the "h" would be behind the amount the DJ got paid per hour.

Answer:

4

Step-by-step explanation:

32 divided by 8

Answer:  y = -x - 4

Step-by-step explanation:

A perpendicular line has a slope that is the negative inverse of the reference line, which is y = x-12.  The slope here is 1, so the negative inverse would be -1/1, or -1.  The perpendicular line would therefore be:

y = -1x + b

We can find b by using the given point (3,-7) as a solution:

y = -1x + b

-7 = -1*3 + b

b = - 4

The equation is therefore   y = -x - 4

Answer:

(x+8)/(2x+11)

Step-by-step explanation:

g(x)=(x+4)/(2x+3)

g(x+4)=(x+4+4)/(2(x+4)+3) = (x+8)/(2x+8+3) =(x+8)/(2x+11)

Answer:

1) Divide the numerator by the denominator to get 0.6

2) Divide the numerator by the denominator to get 0.7

3) Divide the numerator by the denominator to get 0.25

4) Place 55 over 100, since this number is in the hundredths place, and then divide it (55 ÷ 100). Your answer is 11/20 .

5) Place 6 over 10, since this number is in the tenths place, and then divide it

(6 ÷ 10 = 3/5). Next multiply the whole number (10) by the denominator (5) and then add the numerator (3) to get 53. You now have 53/5 which is the improper form, or 10 3/5 which is the mixed number form.

6) Place 856 over 1,000 , since this is in the thousandths place, and then divide it

(856 ÷ 1,000). Your answer is 107/125 .

7) 0.05, 0.5, 4/5

8) 1.3, 1 1/2, 1.85

Can't see the rest of the page, sorry. Either way, hope this helped :)

Answer: y = -2x - 7

Step-by-step explanation:

The equation for a perpenducular line has a slope that is the negative inverse of the reference line, in this case x - 2y = 6.

Let's put this equation into standard slope-intercept form, y = mx+b, where m is the slope and b the y-intercept (the value of y when x is 0).

x - 2y = 6

- 2y = 6 - x

y = (1/2) x -3

The slope is (1/2), so a perpendicular line will have a slope of -2.

y = -2x + b

We can find b by using the given point ((-3,-1), a known solution):

-1 = -2*(-3) + b

-1 = 6 + b

b = -7

The perpendicular equation is y = -2x - 7

y = -2x

Answer:

[tex]4 {x}^{3} + 2 {x}^{2} - 8x - 4[/tex]

Step-by-step explanation:

it's simple, just multiply

f.g(x)=(x^2-2)(4x+2)=4x^3+2x^2-8x-4

Step-by-step explanation:

Hi there!

f(x) = x²-2

g(x) = 4x+2

Then;

f(x).g(x) = (x²-2)*(4x+2)

= x²(4x+2) -2 (4x+2)

= 4x³ + 2x² - 8x - 4

Therefore, the answer is f(x).g(x)= 4x³ + 2x² - 8x - 4.

Hope it helps!

Answer:

Step-by-step explanation:

We can observe each term is twice as less than the previous term.

This is the indication the sequence is geometric and the common ratio is:

Answer:

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29

7-12= -5

7+12= 29

-5 ≤ n ≤ 29 or -5 ≤ n < 30 or -6< n ≤ 29 or -6 < n < 30

either one is acceptable. question was not clear but i did my best! :)