Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter: 116 meters

Answer:

b is 9

Step-by-step explanation:

okay

please mark me as brainlist and be happy also add me on sñap

arshad2623f

i will be happy <3

Answer:

its 9 this has to be at least 20 characters

Answer:

Over

Step-by-step explanation:

Answer:

it becomes a 3 unit hight

Answer:

A.

Step-by-step explanation:

Rule:

When 2 or more exponents divide, they subtract.

Divide using the rule:

\( {4}^{36} \div {4}^{9} = {4}^{36 - 9} = {4}^{27} \)

B, C, and D are incorrect.

A is the correct option.

\(( {4}^{9} )^{3} = {4}^{9 \times 3} = {4}^{27} \)

It is recommended that you visit your courses on D2L frequently, ideally at least once a day, to stay up-to-date with any new announcements or assignments posted by your instructor. This will help you stay on track with your coursework and prevent you from falling behind. Additionally, regular visits to your courses can help you participate in discussions with your peers and ask questions if you are unsure about any of the material. It's important to remember that online learning requires a high level of self-discipline and responsibility, so making a habit of checking in on your courses regularly can contribute to your overall success in the class.

Answer:

169

Step-by-step explanation:

The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.

a) We are given the equation 8 tan θ = 3 cos θ.

Dividing both sides of the equation by cos θ, we have:

8 tan θ / cos θ = 3

Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:

8 (sin θ / cos θ) / cos θ = 3

Simplifying further, we get:

8 sin θ / cos^2 θ = 3

Now, multiplying both sides of the equation by cos^2 θ, we have:

8 sin θ = 3 cos^2 θ

Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:

8 sin θ = 3(1 - sin^2 θ)

Expanding the equation, we get:

8 sin θ = 3 - 3 sin^2 θ

Rearranging the terms, we have:

3 sin^2 θ + 8 sin θ - 3 = 0

Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.

b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.

To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.

In this case, the equation factors as:

(3 sin θ - 1)(sin θ + 3) = 0

Setting each factor equal to zero, we have two equations:

3 sin θ - 1 = 0    or    sin θ + 3 = 0

For the first equation, solving for sin θ, we get:

3 sin θ = 1

sin θ = 1/3

Taking the inverse sine (sin^-1) of both sides, we find:

θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)

For the second equation, solving for sin θ, we have:

sin θ = -3

Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).

Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.

To know more about Range .

https://brainly.com/question/30389189

#SPJ11

The values of x is x<39.5.

Given that the shopkeeper spends on rent and electricity is = 5x+14

Spending of shopkeeper on rent = 3x-7

So shopkeeper spends on electricity = (5x+14) - (3x-7) = 2x+21

Given that amount the shopkeeper spends on electricity less than 100.

So suitable inequality,

2x+21 < 100

2x < 100-21

2x < 79

x < 39.5

All the values of x<39.5.

To know more about Inequality refer to:

https://brainly.com/question/24372553

#SPJ9

The conjectures can be the product of two odd numbers is always an odd number and product of two odd numbers is always greater than either of them.

It is given that a number is product of two odd numbers.

We have to make a conjecture about it.

What do you mean by a conjecture ?

A conjecture is a conclusion which is believed to be true but hasn't been proved or disproved yet.

As per the question ;

We need to make a conjecture about product of two odd numbers.

The two conjectures can be ;

(1) The product of two odd numbers is always an odd number.

i.e.,

Let's assume the numbers are 21 and 27.

The product of these two numbers will be ;

= 21 × 27

= 567

So , 567 is an odd number.

2) The product of two odd numbers is always greater than either of them.

i.e.,

Let's assume numbers are 13 and 15.

The product will be ;

= 13 × 15

= 195

is greater than both of 13 and 15.

Thus , the conjectures can be the product of two odd numbers is always an odd number and product of two odd numbers is always greater than either of them.

To learn more about conjectures click here ;

https://brainly.com/question/28237702

#SPJ2

Answer:

?

Step-by-step explanation:

The electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

The electrical resistance is the measure of the difficulty in passing electric current through a wire or an electrical component. It depends on various factors, such as the material, dimensions, and temperature of the wire.The given statement says that the electrical resistance varies directly as the square of the voltage and inversely as the electric power.

In mathematical terms, this relationship can be expressed as R ∝ V²/PR = kV²/P where R is the electrical resistance, V is the voltage, P is the electric power, and k is the constant of proportionality. The constant k depends on the material, dimensions, and temperature of the wire or component.

The given statement implies that the constant k is the same for the given wire or component, and it is not affected by the voltage or the power.To find the value of k, we can use the given values of V, P, and R.

According to the statement, if the voltage is 20 volts and the electric power is 5 watts, then the electrical resistance is 80 ohms. Therefore,R = kV²/PR = k(20²)/5R = 400k/5R = 80 ohms

Substituting the value of R in the equation, we get80 = 400k/5k = (80 x 5)/400k = 1. Therefore, the equation that relates the electrical resistance, voltage, and power isR = V²/PThe constant of proportionality k is 1 for the given wire or component.

Therefore, the electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

For more such questions on electrical resistance, click on:

https://brainly.com/question/30609640

#SPJ8

Answer:

  (x -14)² +(y -7)² = 1²

Step-by-step explanation:

You want the equation of the circle that represents the border of a logo centered 14 m right and 7 m up from the lower left corner of a soccer field. The logo is 2 m in diameter.

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Since the origin of the coordinate system is the lower left corner of the field, the center is located at (h, k) = (14, 7). The diameter of 2 m means the radius is 1 m. Using these values in the equation, it becomes ...

  (x -14)² +(y -7)² = 1²

Step-by-step explanation:

xz = 10

XY = 26

let ZY = x

xyz is a right angle triangle

XY^2 = xz^2 + zy^2

26^2 = 10^2 + x^2

676 = 100 +x^2

√576 = x^2

x = 24

hence ZY = 24

Hello!

We will go tu use the pythagorean theorem!

So:

BA² = BC² + AC²

AC² = BA² - BC²

AC² = 52² - 20²

AC² = 2304

AC = √2304

AC = 48

Answer:

8x+4

Step-by-step explanation:

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

Answer:

8x + 4

Step-by-step explanation:

4 x 2x = 8x

4 x 1 = 4

therefore its:

8x + 4

Brainliest is appreciated

Answer:

82.5 minutes

Step-by-step explanation:

We have to figure out how many minutes are in 17/8 hours.  17/8 = 2 1/8 hours.  We know that 2 hours is 120 minutes.

1/8hours x 60 min = 7.5 minutes.

120 + 7.5 = 127.5 minutes then subtract out 45.  That leaves 82.5 minutes.

Answer:

18 liters of 41% alcohol and 12 liters of 11% alcohol.

Step-by-step explanation:

.41x + .11(30-x) = .29(30)  I am going the clear the decimal by multiply all the way through by 100

41x + 11(30 -x ) = 29(30)

41x + 330 -11x = 875  Combine like terms

30x +330 = 875  Subtract 330 from both sides

30x = 540  Dived both sides by 30

x = 18

30 - 18 = 12

Amount        Percent         Total

x                    .41                  .41x

30 - x            .11                  .11(30 - x)

30                  .29                .29(30)

Look at the total column

.41x + .11(30-x) = .29(30)

Answer:

13

Step-by-step explanation:

169/13 = How many times does 13 go into 169?

13*13 = 169

Answer: 13

Step 1:

Start by setting it up with the divisor 13 on the left side and the dividend 169 on the right side like this:

 1 3 ⟌ 1 6 9

Step 2:

The divisor (13) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 1 3 ⟌ 1 6 9

Step 3:

Multiply the divisor by the result in the previous step (13 x 0 = 0) and write that answer below the dividend.

       0    

 1 3 ⟌ 1 6 9

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 1 3 ⟌ 1 6 9

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (6) like this:

       0    

 1 3 ⟌ 1 6 9

     - 0    

       1 6  

Step 6:

The divisor (13) goes into the bottom number (16), 1 time(s). Therefore, put 1 on top:

       0 1  

 1 3 ⟌ 1 6 9

     - 0    

       1 6  

Step 7:

Multiply the divisor by the result in the previous step (13 x 1 = 13) and write that answer at the bottom:

       0 1  

 1 3 ⟌ 1 6 9

     - 0    

       1 6  

       1 3  

Step 8:

Subtract the result in the previous step from the number written above it. (16 - 13 = 3) and write the answer at the bottom.

       0 1  

 1 3 ⟌ 1 6 9

     - 0    

       1 6  

     - 1 3  

         3  

Step 9:

Move down the last digit of the dividend (9) like this:

       0 1  

 1 3 ⟌ 1 6 9

     - 0    

       1 6  

     - 1 3  

         3 9

Step 10:

The divisor (13) goes into the bottom number (39), 3 time(s). Therefore put 3 on top:

       0 1 3

 1 3 ⟌ 1 6 9

     - 0    

       1 6  

     - 1 3  

         3 9

Step 11:

Multiply the divisor by the result in the previous step (13 x 3 = 39) and write the answer at the bottom:

       0 1 3

 1 3 ⟌ 1 6 9

     - 0    

       1 6  

     - 1 3  

         3 9

         3 9

Step 12:

Subtract the result in the previous step from the number written above it. (39 - 39 = 0) and write the answer at the bottom.

       0 1 3

 1 3 ⟌ 1 6 9

     - 0    

       1 6  

     - 1 3  

         3 9

     -   3 9

           0

Step-by-step explanation:

Hope this helps!! :))

Answer:

64 is a composite number, and it is 8 squared. 64 = 1 x 64, 2 x 32, 4 x 16, or 8 x 8. Factors of 64: 1, 2, 4, 8, 16, 32, 64. Prime factorization: 64 = 2 x 2 x 2 x 2 x 2 x 2, which can also be written 64 = 2⁶.

Angela will earn interest of $50 at the end of 5 years and total earnings will be $550 at stated period.

The amount of simple interest will be calculated by the formula -

S.I. = P × R × T/100

Keep the values in formula to find the earned interest

S.I. = 500 × 2 × 5/100

Cancelling zeroes and performing multiplication

S.I. = 50

The simple interest is $50

Total amount will be calculated by adding the interest and principal value.

Total amount = 500 + 50

Total amount = $550

Hence, interest is $50 and total earnings are $550.

Learn more about simple interest-

https://brainly.com/question/25793394

#SPJ1

Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

Answer: I THINK 250

Step-by-step explanation: 125 is half and 125 times 2 is 250.

Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.

Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:

\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)

Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)

Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)

Calculating the proportion:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)

Calculating the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)

Simplifying the equation:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)

Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)

Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

On a number line, the solution x = -10 would be located to the left of the origin (0) by a distance of 10 units. So, you would mark the point representing -10 on the number line to the left of 0.

The linear function is given as follows:

\(y = \sqrt{x} + 4\)

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The y-intercept is of 4, hence the parameter b is given as follows:

b = 4.

The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:

m = tan(60º)

\(m = \sqrt{3}\)

Thus the function is given as follows:

\(y = \sqrt{x} + 4\)

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ1

Given the expression:

if x = 2, and y = -3, then we have the following:

therefore, the final result is 18

Answer:

\(m = 2\)

Step-by-step explanation:

Using mental math to find the slope of the line:

If you think about the formula, then you set up the points in your head, you will notice that the first point is on top of the second point. And that way makes it easy to simplify. All you would need to do is subtract down in your head: For example:

(0, 0)

(4, 8)

As you can see, the first point is on top of the other, and that way you can just subtract from bottom to top. If you do it that way, it is set up (Remember, you would do this all in your head)

The angles of the triangle formed by the towns can be determined using the law of cosines with the given side lengths.

We may apply the rule of cosines to get the angles of the triangle the towns create. Assume that the towns are identified as A, B, and C and that their relative distances are 80 km, 90 km, and 100 km. These sides' opposing angles shall be designated as,, and, respectively.

We may determine the angles by using the law of cosines to calculate: cos() = (2bc)/(b2 + c2 - a2)

cos() is equal to (c2 + a2 - b2) / (2ca).

cos() is equal to (2ab) / (a2 + b2 - c2).

Learn more about triangle here:

https://brainly.com/question/2773823

#SPJ11

Answer:

First, we rearrange the equation to isolate the y-term on one side:

dy/dx + ytanx = secx

Then, we multiply both sides by the integrating factor, which is e^(∫tanx dx) = e^(ln|secx|) = |secx|: | secx| dy/dx + ysecx tanx = 1

Next, we can write this as the derivative of a product using the product rule: d/dx (y |secx|) = 1

Integrating both sides with respect to x, we get:  y |secx| = x + C

where C is the constant of integration. Solving for y, we have:

y = (x + C)/|secx|

Note that there is a singularity at x = (2n + 1)π/2, where the denominator |secx| is zero. At these points, the solution is not defined