after one side of a square was enlarged by 3 inches and the other side was enlarged by 3 inches, the area of the shape was doubled. what was the side of the square.

Answer:

? = 2    Full Answer: 1/2

Step-by-step explanation:

A regular die has only 6 numbers: 1, 2, 3, 4, 5, & 6.

In those numbers, there are 3 odd numbers, and 3 even numbers. This would mean that the probability of getting an odd number would be 3/6.

But to simplify it, 3/6 ALSO equals 1/2

Answer:

1/2 is the answer

Step-by-step explanation:

A die has 6 possible outcomes: 1, 2, 3, 4, 5, 6

Out of these numbers 3 are odd numbers.

P(Event) = Number of favourable outcomes/ Total number of outcomes

P(odd) = 3/6

           = 1/2

9514 1404 393

Answer:

  59°

Step-by-step explanation:

The law of cosines tells you ...

  h² = f² +g² -2fg·cos(H)

Solving for angle H gives ...

  H = arccos((f² +g² -h²)/(2fg)) = arccos(725/1400) ≈ 58.811°

  ∠H ≈ 59°

Answer:

100

Step-by-step explanation:

it just is

Answer:

[tex]y=-67.5[cos(\frac{\pi}{15}t)-1][/tex]

Step-by-step explanation:

We can start solving this problem by doing a drawing of London Eye. (See attached picture).

From the picture, we can see that the tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:

[tex]y=-Acos(\omega t)+b[/tex]

where:

A=amplitude

[tex]\omega[/tex] = angular speed.

t= time (in minutes)

b= vertical shift.

In this case:

A= radius = 67.5 m

[tex]\omega=2\pi f[/tex]

where the frequency is the number of revolutions it takes every minute, in this case:

[tex]f=\frac{1}{30} rev/min[/tex]

so:

[tex]\omega=2\pi (\frac{1}{30})[/tex]

[tex]\omega=\frac{\pi}{15} rad/min [/tex]

and

b= radius, so

b=A

b=67.5m

so we can now build our equation:

[tex]y=-67.5cos(\frac{\pi}{15} t)+67.5[/tex]

which can be factored to:

[tex]y=-67.5[cos(\frac{\pi}{15}t)-1][/tex]

You can see a graph of what the function looks like in the end on the attached picture.

The required sinusoidal equation is  [tex]y = -67.5 (cos\dfrac{\pi t}{15} -1)[/tex]

Given that,

It has a diameter of 135 meters and makes one revolution (counterclockwise) every 30 minutes.

It is constructed so that the lowest part of the Eye reaches ground level, enabling passengers to simply walk on to, and off of, the ride.

We have to find,

A sinusoidal  which models the height h of the passenger above the ground in meters t minutes after they board the Eye at ground level.

According to the question,

The tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:

[tex]y = -Acos(wt) + b[/tex]

Where,  A=amplitude ,  [tex]\omega[/tex] = angular speed, t= time (in minutes) , b= vertical shift.

Then,

[tex]Radius = \dfrac{diameter}{2}\\\\Radius = \dfrac{135}{2}\\\\Radius = 65.5m[/tex]

The frequency is the number of revolutions it takes every minute is determined by the formula is,

[tex]\omega = 2\pi f[/tex]

Where,

[tex]f = \dfrac{1}{30} revolution \ per \ minute[/tex]

Then,

[tex]\omega = 2\pi \times \dfrac{1}{30}\\\\\omega = \dfrac{\pi }{15}\ radian \ per\ minute[/tex]

Here, The sinusoidal equation can be written as;

[tex]y = -67.5cos\dfrac{\pi t}{15} + 67.5\\\\y = -67.5 (cos\dfrac{\pi t}{15} -1)[/tex]

Hence, The required sinusoidal equation is  [tex]y = -67.5 (cos\dfrac{\pi t}{15} -1)[/tex]

To know more about Frequency click the link given below.

https://brainly.com/question/9661952

Answer:

27 and 153 degrees

Step-by-step explanation:

Delta math

Answer:

true

Step-by-step explanation:

Answer:

8(4k-12)

Step-by-step explanation:

you can really only check and guess here and it happens to be the second choice 8(4k-12)

8(4k-12)

32k -96

Answer:

Step 2: 4x - 6 = 10 + 2x

Step-by-step explanation:

2 needs to be distributed to all terms inside the parentheses.

Answer:

Step 2 is wrong, and the right step 2 is 4x − 6 = 10 + 2x

Step-by-step explanation:

The student didn't multiply 2(3) in step 2

Answer:

1/12

Step-by-step explanation:

it is correct i know  it is

Answer: 1/5 is

Step-by-step explanation:

1/5 = 0.2

1/3 = 0.333

Answer:

x=177

Step-by-step explanation:

vertically opp angles are equal so 149=x-28, to find x you do 149 +28 whiichis 177

Answer:

It has 8 edges

Hope that helps!

Answer:

$180

Step-by-step explanation:

Answer:

294cm²

Step-by-step explanation:

Given the formula for surface area expressed as 6L^2

TSA = 6L²

Given that L = 7cm

Substitute

TSA = 6(7)²

TSA = 6 * 49

TSA = 294cm²

Hence the total surface area is  294cm²

Answer:

(B). 319

Step-by-step explanation:

[tex]\frac{42}{60}[/tex] = [tex]\frac{x}{456}[/tex]

[tex]\frac{7}{10}[/tex] = [tex]\frac{x}{456}[/tex]

x = [tex]\frac{7*456}{10}[/tex] ≈ 319

The best estimate of the number of those parents likely to support the new proposal is 319. So the option is (B) 319.

Firstly, there is proportional relationship.

Two values x  and  y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called constant of proportionality.

Parents of students at a middle school were randomly selected to participate in a survey.

42 out of 60 parents who were surveyed support a proposal to buy new computers.

There are a total of 456 parents with students at the middle-school.

[tex]\dfrac{42}{60} = \dfrac{x}{456} \\\\\\x = \dfrac{42}{60} \times 456\\\\x = \dfrac{7}{10} \times 456\\\\x = 319[/tex]

Therefore, the best estimate of the number of those parents likely to support the new proposal is 319.

Learn more about directly inversely proportional relationship variable here:

https://brainly.com/question/13082482

#SPJ2

Answer: true

Step-by-step explanation:

Answer:  true

Step-by-step explanation:

Answer:

y = 2x + 8

Hope this helps

Answer:

x^ 5 +  x ^4  −  x^ 3  −  x^ 2  −  x  +  1

Step-by-step explanation:

(*￣3￣)╭

Answer:

Simplified: x^5 + x^4 - x^3 - x^2 - x +1

Step-by-step explanation:

Answer:

I think 9? form 12 counterclockwise

Answer:

145.83 kilómetros.

Step-by-step explanation:

Si un conductor llena su tanque con $600 y recorre 250 kilómetros, para determinar cuántos kilómetros podrá recorrer con $350 de combustible se debe realizar el siguiente cálculo:

600 = 250

350 = X

350 x 250 / 600 = X

87,500 / 600 = X

145.83 = X

Así, con $350 de combustible se podrán recorrer 145.83 kilómetros.

Answer:

the answer is c 2 dollars

Answer:

8 - 2n > 18

Step-by-step explanation:

8 less than 2 * a number so represent it with a variable 8 - 2*n

then more than so > 18

Answer:

2145

Step-by-step explanation: 55,770/26=2145

Answer:

answer = 2145 per paycheck

Step-by-step explanation:

Answer:

Yo i gotta be honest, I do not know

Step-by-step explanation:

Answer:

15,103.05

Step-by-step explanation:

Total amount in the saving account after 5 years in which the  annual interest, compounded continuously, is $15,103.85.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{100n}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

$13,000 is deposited into a savings account with an annual interest rate of 3% compounded continuously.

The amount in account after 5 years can be calculated with the above formula as,

[tex]A=13000\times\left(1+\dfrac{3}{12\times100}\right)^{12\times5}\\A=15101.02[/tex]

The total amount in the saving account after 5 years in which the  annual interest, compounded continuously, is $15,103..85.

Learn more about the compound interest here;

https://brainly.com/question/24274034

Answer:

B, C, and D are true. 0.15price is 15% subtracted, 0.85 is with 15% subtracted, 420.75 is the sale price calculated.

Answer:

5x-y=-6.............1

y=-7x+6...........2

substituting value of y in equation 1

5x-(-7x+6)=-6

5x+7x-6=-6

12x=0

x=0/12=0

substituting value of x in equation 1

5×0-y=-6

y=6

Answer:

49

Step-by-step explanation:

alternate angles hope this helps

Answer: The answer would be B

Step-by-step explanation:

I had a test like this so I kinda know wut the answer is a few weeks or so ago but u need to multiply -5 • 5 (which would be negative since it has one negative sign) then multiply -5 • -5 (since it has another negative it’s positive) then u just multiply the answers that u got from the times 5 u did -bonus if it’s 1 negatives it’s a negative but if it’s 2 negatives it’s a positive

Answer:

The answer is B

Step-by-step explanation:

Answer:

y=9x+7

Step-by-step explanation:

the number in front of x is always the slope and the number after it is the Y intercept where the line first crosses the Y axis