The art room at Johnson Elementary School has a storage room with the are of 165 square feet. The length of one wall is 15 feet. What is the width of the storage room? What is the perimeter of the room?

Answer:

\tan \left(\frac{\sin \left(x\right)-\cos \left(x\right)}{\cos \left(x\right)+\sin \left(x\right)}\right)

Step-by-step explanation:

Answer:

13) non-regular pentagon (5-sides, all sides not equal)

14) regular hexagon (6-sides, all appear to be equal)

15) two pair of parallel sides without right angles is a parallelogram

16) two pair of parallel sides with four right angles is a rectangle; if all sides are equal then it is a square

Step-by-step explanation:

Answer:

33%

Step-by-step explanation:

Answer:

y = -2x + 17

Step-by-step explanation:

y has to equal 5:

incorrect

y = -2x - 17

y = -2(6) - 17

y = -12 - 17

y = -29

incorrect

y = -2x - 16

y = -2(6) - 16

y = -12 - 16

y = -28

incorrect

y = -2x + 16

y = -2(6) + 16

y = -12 + 16

y = 4

correct

y = -2x + 17

y = -2(6) + 17

y = -12 + 17

y = 5

The prediction thay the shopper can make about buying mystery bags in the future is A.There will be 4 more spy novels in 8 bags than in 6 bags.

Since the shopper bought 3 mystery bags and found that 6 books were spy novels, it means that there are 6/3 = 2 spy novels in each bag.

There, the prediction thay the shopper can make about buying mystery bags in the future is that there will be 4 more spy novels in 8 bags than in 6 bags.

This is because there's an extra 2 bags which will be equal to 4 spy novels

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\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &\stackrel{millions}{\$12E6}\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=\textit{elapsed time}\dotfill &5\\ \end{cases} \\\\\\ A=12E6(1 + 0.10)^{5}\implies A=12E6(1.1)^5\implies A=19326120\)

Answer:

  $19.3 million

Step-by-step explanation:

The demand in 5 years can be found by using the given formula for exponential growth with the given beginning value, growth rate, and time.

  E = B(1 +r)^t

You are given B = 12, r = 0.10, t = 5, so the ending value is ...

  E = 12(1 +0.10)^5 = 12(1.61051) = 19.32612

Demand for electrical services in 5 years will be about $19.3 million per year.

Answer:

Part a) consecutive interior angles

Part b) 

Part c) m∠5=

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

Part a) Angles 3 and 5 are consecutive interior angles

therefore

m∠3+m∠5=

Part b) we have

m∠3=

m∠5=

substitute

Part c) solve for x

Find the value of m∠5

m∠5=

m∠5=

Answer:

Step-by-step explanation ma is 9 because p + i=o K/x 798 g ćxΨ / ʥ and 78 / 2 +e =9 then oi x l = j j also = 6 and that's how you do it

Step-by-step explanation:

0.3x = (0.3)(x).

2.7 = (0.3)(9).

Between the 2 terms, the GCF is 0.3.

Hence,

0.3x - 2.7

= (0.3)(x) - (0.3)(9)

= 0.3(x - 9).

Answer:

Step-by-step explanation:

1) y = \(\frac{1}{3}\)

2) x = \(\frac{1}{3}\)

3) y = -3

4) x = \(\frac{-1}{-12}\)

Answer:

11,3,3,12

Step-by-step explanation:

1st y= 11 because -2/3(-6)=4 4+7=11

1st x= 3 because -2/3(3)=-2 and -2+7 is 5

2nd y=-3  because -2/3(15)=-10 -10 +7=-3

2nd x=-12 because -2/3(-12)=8 8+7=15

The volume of the solid of revolution generated by revolving the region under the curve y = √x from x = 0 to x = 10 about the x-axis is approximately 1046.67 cubic units.

To find the volume of the solid of revolution, we can use the method of cylindrical shells. The volume of each cylindrical shell is given by the formula V = 2πrhΔx, where r is the radius of the shell, h is the height of the shell, and Δx is the width of the shell.

In this case, the radius of the shell is given by r = √x, and the height of the shell is h = y = √x. Since we are revolving the region about the x-axis, the width of each shell is Δx.

To find the volume, we integrate the formula V = 2π∫(√x)(√x)dx over the interval [0, 10].

Evaluating the integral, we get V = 2π∫(x)dx from 0 to 10.

Integrating, we have V = 2π[(x^2)/2] from 0 to 10.

Simplifying, V = π(10^2 - 0^2) = 100π.

Approximating π as 3.14159, we find V ≈ 314.159 cubic units.

Therefore, the volume of the solid of revolution generated by revolving the region under the curve y = √x from x = 0 to x = 10 about the x-axis is approximately 1046.67 cubic units.

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your answer would be y=-3x+14

The transformation that would produce an image with vertices B"(-2, 1), C"(3, 2), D"(0, -1) from the original vertices B(-3,0), C(2, -1), D(-1, 2) is the transformation (x,y) → (X + 1, y + 1).

By applying the transformation (x,y) → (X + 1, y + 1), each point's x-coordinate is shifted one unit to the right (X = x + 1), and each point's y-coordinate is shifted one unit upward (Y = y + 1). This results in the image with the given coordinates B"(-2, 1), C"(3, 2), D"(0, -1).

The other transformations listed do not match the given image coordinates and would not produce the desired result.

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Answer:

(x, y) → (x, −y) → (x + 1, y + 1)

Step-by-step explanation:

Reflect the vertices over the x-axis by applying the transformation (x, y) → (x, -y):

B'(-3, 0) → B'(-3, 0)

C(2, -1) → C(2, 1)

D(-1, 2) → D(-1, -2)

Translate the reflected vertices by (1, 1):

B'(-3, 0) → B″(-3 + 1, 0 + 1) → B″(-2, 1)

C(2, 1) → C″(2 + 1, 1 + 1) → C″(3, 2)

D(-1, -2) → D″(-1 + 1, -2 + 1) → D″(0, -1)

So, the correct sequence of transformations is:

(x, y) → (x, -y) → (x + 1, y + 1)

(Image provided for more proof)

Answer:

thank you i need that

Step-by-step explanation:

Answer:

85.3

Step-by-step explanation:

The total number of t-shirts sold by Tom equals to 17 t-shirt.

Basically, a profit refers to the difference between the revenue that an entity has received from its outputs and the opportunity costs of its inputs.

We need to note that he made a total profit of $125. From here, we will proceed to use that data to solve other sections.

From the total profit of $125, he also made a profit of $40 from selling hats. That means that the T-shirt sales alone gives him a profit of $85 ($125 - $40).

Total quantity of t-shirt sold is computed as follows:

= Total profit from t-shirt / Profit per shirt

= $85 / $5

= 17 t-shirt

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9514 1404 393

Answer:

Step-by-step explanation:

1. The only "Given" statement involving QR is ...

  QR ≅ SR

2. You will notice that PQ ≅ PS is a Given statement.

3. The reflexive property says a segment is congruent to itself:

  PR ≅ PR

4. All three sides of the triangles have been shown to be congruent. The appropriate choice for the postulate that shows congruence of the triangles is the SSS Postulate.

Answer:

55%

Step-by-step explanation:

The percent change formula is written like this:

\(|\frac{change - original }{original}|\). In this scenario, the "change" or new value is 31, because it is this season, and the original is last season. Now, 31-20 = 11, and 11/20 = 55%.

Answer:

? = 36 degrees

Step-by-step explanation:

To find this measure, we use the appropriate trigonometric ratio

from the question, the angle faces the length 26 which represents the opposite

the length 44 faces the angle 90, which is the hypotenuse

The trigonometric ratio that connects both is the sine

The sine of an angle is the ratio of the opposite to the hypotenuse

Thus;

sine ? = 26/44

? = arc sine (26/44)

? = 36

Answer:

20 per kilogram. then it is necessary to know just what units are being used for the purchase. This information is given under 'Comparative Costs per Unit'.

Step-by-step explanation:

The correct option is b.

A quadratic equation is an equation that can be written in the form of

ax²+bx+c.

Where a is the leading coefficient, and

c is the constant.

The leading coefficient of an equation is a coefficient of the term having the highest power in the equation.

Given options:

a.)  \(f(x) = -12x^2+3x+1 \\\)

b.)  \(f(x) = 3x^2+11x-12 \\\)

c.)  \(f(x) = 12x^2+3x+3\\\)

d.)  \(f(x) = 3x -12.\)

As it is given that the leading coefficient of the equation is 3. therefore, the value of the 'a' in the general quadratic equation is 3,

3x²+bx+c,

Also, the value of the constant is -12, therefore, the value of c is -12,

3x²+bx-12

From all the given options the only feasible option is b only.

Hence, the correct option is b.

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Answer:

f(x) = 3x2 + 11x – 12

Step-by-step explanation:

aka B 2022

Answer:

1/3

Step-by-step explanation:

I guess it's asking for probability of prime number

so we have 3 card and only one of them is prime (5)

so the answer is 1/3

Answer:

i would say 1/5 because it is between 2 and 12

Step-by-step explanation:

To determine if triangle XYZ and triangle X'Y'Z' are the same shape and size, we need to compare their corresponding angles and side lengths.

Angle Comparison: Check if the corresponding angles in both triangles are equal. If all three angles of triangle XYZ are congruent to the corresponding angles of triangle X'Y'Z', then they have the same shape. However, this does not guarantee they have the same size.

Side Length Comparison: Compare the lengths of the corresponding sides. If all three sides of triangle XYZ are equal in length to the corresponding sides of triangle X'Y'Z', then they have the same size.

If both the angles and side lengths are equal for the corresponding parts of the triangles, then triangle XYZ and triangle X'Y'Z' are congruent, meaning they are the same shape and size.

It's important to note that without specific measurements or additional information about the triangles, it is not possible to definitively determine if they are the same shape and size.

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Answer:

\(x^3\)-15\(x^{2}\)+25x-125

Step-by-step explanation:

This is a quadratic equation, so we need to open the equation first. There are three (x-5), and then we multiply them together, and then combine like terms to get the answer.

(x-5)(x-5)(x-5)=

[x(x-5)-5(x-5)](x-5)=

(\(x^{2}\)-5x-5x+25)(x-5)=

(\(x^{2}\)-10x+25)(x-5)=

x(\(x^{2}\)-10x+25)-5(\(x^{2}\)-10x+25)

\(x^3\)-\(10x^2\)+25x-\(5x^2\)-125=

\(x^3\)-15\(x^{2}\)+25x-125

Answer:

undefined

Step-by-step explanation:

x=0

Answer:

the answer isundedined

Step-by-step explanation: 0

The number of more payments which Mr. Kirov will have to make before the balance becomes 0 is equal to 5 payments.

To calculate the balance, the use of Present Value of an Ordinary Annuity Formula is used. The formula is given as follows:

Present Value =\(P*(\frac{1- [1/(1+r)^n]}{r})\) …. (1)

In the given formula,

PV = Present value or the first balance = $800

P = Monthly payment = $100

r = Monthly interest rate = 0.012

n = number of months (It is equal to total number of payments made until balance turns zero)

Putting the values of above variables into equation (1) and solving for n, we get:

800 = 100*((1 - (1 / (1 + 0.012))^n) / 0.012)

800/100 = (1 - (1 / 1.012)^n) / 0.012

8*0.012 = 1 - (0.9881)^n

0.096 = 1 - (0.9881)^n

⇒ (0.9881)^n = 1 – 0.096

⇒ (0.9881)^n = 0.904

Taking the log of both sides, we have:

n*log(0.9881) = log0.904

n = log0.904 / log0.9881

n = -0.0438315 / -0.005180

n = 8.4608 ≅ 8

Since three payments were already made by Mr. Kirov as per the data in the question, therefore the number of more payments which he will have to make before the balance becomes 0 is calculated as:

Number of extra payments = n – 3 = 8 – 3 = 5 payments

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Refer to complete question below:

The table shows a schedule of Mr. Kirov's plan for paying off his credit card balance.

Mr. Kirov's Payment Plan

Balance 1 = $800.00

Payment 1 = $100

New Balance 1 = $700.00

Rate 1 = 0.012

Interest 1 = $8.40

Balance 2 = $708.40

Payment 2 =$100

New Balance 2 = $608.40

Rate 2 = 0.012

Interest 2 = $7.30

Balance 3 = $615.70

Payment 3 = $100

New Balance 3 = $515.70

Rate 3 = 0.012

Interest 3 = $6.19

If Mr. Kirov continues to make monthly payments of $100 and does not make any new purchases, how many more payments will he need to make before the balance is 0?

$5 for 1 shirt

y = cost

x = number be shirts

10y = 2x

5y = x

The area of a rectangle with a width of 8.6 cm and a height of 4.7 is 40.42 \(cm^{2}\). The total area of 40.42 \(cm^{2}\) has 4 significant figures.

By knowing the width and height of a rectangle we will be able to determine the area of the shape by multiplying them. Or the area of a rectangle can be found by multiplying the two sides.

Given,

Then the area of the rectangle:

Area = Width x height

Area = 8.6 cm x 4.7 cm

Area = 40.42 \(cm^{2}\)

So, the area of the rectangle above is 40.42 \(cm^{2}\) and it has 4 significant figures provided that zeros located between non-zero numbers are significant figures.

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