An architect is allowed 56 square yards of floor space to add a small bedroom to a house. because of the rooms design in relation to the existing structure, the lenght of the rectangular floor must be 6 yards less than 2 Times the width.Find the lenght and width of the rectangular floor that the architect is permitted

Answer:

24 bows can be made with 4 yards of ribbon

Answer:

C: [tex]y = 6 \sin (8(x-\frac{\pi}{2} ))[/tex]

Step-by-step explanation:

Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B

Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.

Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.

The General equation of a sine function is f(x) = 6·sin(8(x -π/2)).

The sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function is used to find the unknown angle or sides of a right triangle.

Here, Amplitude = 6, P=π/4, and S=π/2

A transformed sine function with amplitude A, period P, and horizontal shift S can be written as ...

 f(x) = A · sin(2π/P(x -S))

 f(x) = 6·sin(8(x -π/2))

The horizontal shift is equal to two full periods, so the shifted function is indistinguishable from the unshifted function.

Thus, the General equation of a sine function is f(x) = 6·sin(8(x -π/2)).

Learn more about Sine Function from:

https://brainly.com/question/12015707

#SPJ2

Answer:

$24606.92

Step-by-step explanation:

P(t) = P(0) e^rt              P(0) money at the beginning r =%/100  P(t) = future value

     = 7050 e^(0.05 · 25)             e = inv natural log (1)

     =  7050 · 2.71828^1.25

     = $24606.92

Answer:

C. The mode of the number of miles Ian skated in July is less than the mode of the number of miles Ian skated in August.

Step-by-step explanation:

A. is not correct because the least amount he skated in July was 1 which is not greater than the least amount In August, 5

B. is  not correct because the median number for July was 8 which is not greater than the median of August, 10

C. is correct because 8 is the most common number in July which is less than 10, the most common number in August.

D. is not correct because the range in July is 14 (15-1=14) which is not less than the range in August, 8 (13-5=8)

Answer: the probability will be 3 because 8-5=3 and there was 8 trix bars and 5 crunch bars and which means it will be 3

Step-by-step explanation:

Answer:

x=49

<A=90

<E=147

Step-by-step explanation:

Answer: Where's the picture of the angle?

Step-by-step explanation:??

Answer:

Step-by-step explanation:

M + P + C = 13.5

6M + 3P + C = 48.50

OM + 2P - C = O

2P = C

Therefore, there are 6 pounds of meat, 2.5 pounds of potatoes, and 5 pounds of carrots.

Answer:

Step-by-step explanation:

B is the correct answer.

Answer:

B

Step-by-step explanation:

im smart

Answer: d > -5

Step-by-step explanation: Just convert the greater than into a symbol, and you'll be good to go.

Hope this helps!

answer = 560 profited

Answer:

=5b-3

Step-by-step explanation:

(7b -4) + (-2b+1).

Remove parenthesis;

7b-4+-2b+1

Group like terms;

=7b-2b-4+1

Add similar element

7b-2b=5b

=5b-4+1

Add/subtract the numbers

=5b-3

Answered by the ONE & Only #QUEEN herself aka #DRIPPQUEENMO

HOPE THIS HELPED!!!

Answer:

Friend C would be 20 years old

Step-by-step explanation:

Consecutive integers are integers that follow each other

In this case, we have three friends (let's call them A, B, and C) who's total age sum is 57:

A + B + C = 57

If Friend B is one year older than Friend A and Friend C is two years older than Friend A (or one year older than Friend B), then we write and solve for Friend A:

A + (A + 1) + (A + 2) = 57

3A + 3 = 57

3A = 54

A = 18

So if Friend A is 18 years old, then Friend B is 19 years old, and Friend C is 20 years old, making Friend C the oldest.

Answer:

20 years old

Step-by-step explanation:

3x + 3 = 57

3x = 54

x = 18

X + 2 = 18 + 2

Answer = 20 years old

Step-by-step explanation:

[tex]x < \frac{6}{7} [/tex]

All the fractions which less than (6/7) will be true

The steps of the solution in the above photo

I hope that is useful for you :)

Answer:

1/2 times 1/3

Step-by-step explanation:

Multiply  them and you get 1/6 which is less than 2/7.

Answer:

Hello, this would be a vertical angle graph. Since this graph is a supplementary graph since it stretches about 180 degrees, you would take both 7x and x+20 and set it equal to 180 like this:

7x+x+20=180

Then, you combine the xs and you would get this:

8x+20=180

Then, subtract 20 from both sides like this:

8x=160

Lastly, you would divide 8 by both sides and get x which is:

x=20

Step-by-step explanation:

I hope this helped you!

Answer:

6.4,,,,,,,,,,,,,,****

Answer:

G

Step-by-step explanation:

Select G, it does not show ratio of students to teachers is 13:3.

3s=13t means 3 students to 13 teachers

Answer:

-10/3 is a rational number

Step-by-step explanation:

Rational numbers are the ratios of two integers.

Answer:

result = 15cm

Step-by-step explanation:

Hi! to can solve this, we have to keep in mind this formulas:

A1 = π [tex]r^{2}[/tex]                     ; where r = radius

A2 = (π [tex]r^{2}[/tex]) * (h)           ; where h= height

now  we solve:

first, we have to calculate the area of the circumference

A1 = [tex](3.14)*(4cm)^{2}[/tex] = [tex]50.24cm^{2}[/tex]

then, we already know the volume of the cylinder, and the area of the circumference, so we have to find just h of the second formula:

A2 = (π [tex]r^{2}[/tex]) * (h)  

h = 15cm

Answer:    -3

-2x-6=0

-2x=6

x=-3

Step-by-step explanation:

Step-by-step explanation:

{(2)³}⁸×{(2)³}-⁵

2²⁴× 2-¹⁵

2²⁴-¹⁵. ( subtract 24 and 15)

2⁹= 512

So...

8×8×8= 512

hence

8³ Answer

9514 1404 393

Answer:

  13.  (A, b, C) = (30.66°, 91.042, 25.34°)

  14.  insufficient information

Step-by-step explanation:

13. The Law of Cosines can help you find the side opposite the given angle. Then that can be used with the Law of Sines to find the other angles.

  b = √(a² +c² -2ac·cos(B)) = √(56² +47² -2(56)(47)cos(124°)) ≈ √8288.59

  b ≈ 91.042

__

  A = arcsin(a/b·sin(B)) ≈ arcsin(56/91.042·sin(124°)) ≈ 30.66°

  C = 180° -124° -30.66° = 25.34°

The missing dimensions are (A, b, C) = (30.66°, 91.042, 25.34°).

__

14. One side and one angle do not define a unique triangle. There is insufficient information to find f.

Answer:

330

Step-by-step explanation:

Because he runs 6 yards in 1 minute so if we multiply 55 x 6 we get 330.

Answer:

330

Step-by-step explain

12/2=6  

55x6=330

Answer:

A I just guested

Step-by-step explanation:

Answer:

Step-by-step explanation:sdf

Answer:

remember

1h=60min

1min=60 sec

now come to the question

1h=60min

1min=60 sec

60min=60×60=3600sec in 1hour

25min=60×25=1500sec in 25 min

total all sec=3600+1500+29=5129sec

Step-by-step explanation:

Answer:

5129

Step-by-step explanation:

So first we know we have 29 seconds then we know there is 60 seconds in a minute so I'm going to take 60 times 25 which equals 1500 so right now I have 1529 seconds I also know that there is 60 minutes in 1 hour so I'm going to do 60 times 60 which is 3600 so now I'm going to add all my seconds together 1500 + 3600 = 5100