A rectangular park is 50 meters wide and 90 meters long. Give the length and width of another rectangular park that has the same perimeter but a smaller area.

Answer:

The central angle is = 3/8  π

Step-by-step explanation:

To calculate the area of the sector, we will follow the steps below;

First write down the formula for calculating the area of a sector.

If angle Ф is measured in degree, then

area of sector = Ф/360   × πr²

but if angle Ф is measured in radians, then

area of sector = 1/2 × r² × Ф

In this case, since we are asked to find the central angle measure of the sector in radians, then we will use the second formula

area = 48π cm²       and radius = 16 cm

area of sector = 1/2 × r² × Ф

  48π              = 1/2 × 16² × Ф

  48π               = 1/2  ×256 × Ф

  48π                = 128×Ф

Divide both-side of the equation by 128

[tex]\frac{48}{128}[/tex] π  =   Ф

Ф  =  [tex]\frac{48}{128}[/tex] π

The right-hand side can be reduced to its lowest term

Ф =  48 ÷  16   /    128  ÷16   π

Ф = 3/8  π

Answer:

x = 47°

Step-by-step explanation:

m∠DPB + ∠BPC = 180° (Definition of a straight line)

Plug in the corresponding numbers and variables to the corresponding places:

x + 133 = 180

Isolate the variable, x. Subtract 133 from both sides:

x + 133 (-133) = 180 (-133)

x = 180 - 133

x = 47

47° is your answer.

~

Answer:

47 degrees

Step-by-step explanation:

DPC = DPB +BPC = 180

-> x + 133 = 180

-> x = 47

Answer:

29/50

Step-by-step explanation:

To solve this expression, we first have to make sure that the denominators are equal. If the denominators aren't equal, we can't add the fractions together. To make equivalent denominators, the easiest way is to find the LCM. Looking at these two fractions, we see that the LCM is 100. To get to 100 from 10 in the first fractions denominator we multiply by 10. Since we multiplied by 10 in the denominator, we must multiply by 10 in the numerator, leaving us with the fraction:

5/10 = 50/100

Since the denominators are now equal, we can add these two fractions:

50/100 + 8/100 = 58/100 = 29/50

Adding two fractions equal

[tex]\frac{5}{10}+ \frac{8}{100}=\frac{29}{50}[/tex]

To add any two fractions , the denominators should be same.

LCD is  the smallest number of all the common multiples of the given denominators

We need to add [tex]\frac{5}{10}+ \frac{8}{100}[/tex]

To add two fractions, we need to make the denominators same

multiples of 10 are 10,20,30,40,50,60,70,80,90,100......

multiples of 100 are 100,200, 300, 400 .......

Common multiple is 100. so LCD is 100

[tex]\frac{5}{10}+ \frac{8}{100}\\\\\frac{5 \cdot 10}{10 \cdot 10}+ \frac{8}{100}\\\\\frac{50}{100}+ \frac{8}{100}\\ \frac{50+8}{100}\\\\\frac{58}{100}\\\\\frac{29}{50}[/tex]

Adding two fractions,

[tex]\frac{5}{10}+ \frac{8}{100}=\frac{29}{50}[/tex]

Learn more information about 'Fractions' here:

brainly.com/question/870112

Answer:

∠NKL = 50°

Step-by-step explanation:

A parallelogram consists of two pairs of congruent angles.

So..

130 + 130 = 260

360 - 260 = 100

100 / 2 = 50

Answer:

7^12

Step-by-step explanation:

We know that a^b ÷ a^c = a^(b-c)

7 ^ 14÷ 7^2

7^ (14-2)

7^12

Answer:

7¹²

Step-by-step explanation:

7¹⁴ ÷ 7²

7^(14-2)

7¹²

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1)    you have :  x_1 =5  and  y_1 =1

m the slope  m= -1 (same slope for the line : x+y=9 because this lines are parallel and you can write y=-x+9

an equation for this line is : y-1 = -(x-5)

Answer:

1.2^6

Step-by-step explanation:

cuz count the zeroes, and that is the scientific notation

Answer:

[tex]4x > 52 \\ x > \frac{52}{4} \\ x > \frac{26}{2} \\ x > 13[/tex]

Answer:

14

Step-by-step explanation:

Plug in the numbers:

12 * 4 = 48 WRONG

13 * 4 = 52 WRONG

14 * 4 = 56 RIGHT

14

Answer:

the outlier would be 6

Step-by-step explanation:

6 is the number that stands out the most therefore it is an outlier!

:)

Answer:

c

Step-by-step explanation:

Answer:

The answer to your question will be n = 2

Step-by-step explanation:

as much as I would like to, I'm really not that great at explaining things

Answer:

1 real number solution

Step-by-step explanation:

b^2-4ac=0  1 real number solution

Answer:

1 real

Step-by-step explanation:

The value of the power in the expression 5^4 is 625. This is found by multiplying the base (5) by itself 4 times, which is the exponent.

The value of the power is 54. This is because 54 is the base of the expression raised to the exponent 4. In other words, 54 is multiplied by itself 4 times.

Identify the base: The base is the number that is being raised to the power. In this case, the base is 5.

Determine the exponent: The exponent is the small number written above and to the right of the base. In this case, the exponent is 4.

Write the expression in expanded form: The expanded form of the expression is 5 x 5 x 5 x 5.

Evaluate the expression: 5 x 5 x 5 x 5 = 625.

Therefore, the value of the power is 625.

Answer:

The area of the triangle is [tex]5x^4 + 4x^3[/tex] square units

Step-by-step explanation:

Given

Shape: Triangle

[tex]Height = 2x^2[/tex]

[tex]Base = 5x^2+4x[/tex]

Required

The area of the triangle

The area of a triangle is calculated as thus;

[tex]Area = \frac{1}{2}(base)(height)[/tex]

By substituting [tex]Height = 2x^2[/tex] and [tex]Base = 5x^2+4x[/tex]; This gives

[tex]Area = \frac{1}{2}(5x^2 + 4x)(2x^2)[/tex]

[tex]Area = \frac{(5x^2 + 4x)(2x^2)}{2}[/tex]

[tex]Area = (5x^2 + 4x)(x^2)[/tex]

Open Bracket

[tex]Area = 5x^2 * x^2 + 4x * x^2[/tex]

[tex]Area = 5x^4 + 4x^3[/tex]

Hence, the area of the triangle is [tex]5x^4 + 4x^3[/tex] square units

Answer:

14

Step-by-step explanation:

Since angle ADC and ABC are both inscribed angles to opposite angles that must add up to 360 degrees, together they must add up to 180 degrees. You can therefore set up the following formula:

7x+2+6x-4=180

13x=182

x=14 degrees

Hope this helps!

Answer:

x = d/ C + r/ C

Step-by-step explanation:

The "/" means fraction

Mark me as brainliest please

Answer:

x = 6

Step-by-step explanation:

first of all, you should know how to do this, this is the basic level of math that students learn in 4th grade.

first you combine like terms (terms that have the same variable)

6 - 2x + 1x = -4x + 18 + 1x

= 6 - 1x = -3x + 18

= 6 = -2x + 18

= -12 = -2x

= 6 = x

Answer:

The person can live at a distance of 113 miles

Step-by-step explanation:

In this question, we are concerned with calculating how far a person live from a radio station and hear its broadcast given that the broadcast covers an area of 40,000 square miles.

Now this question is asking us to calculate the farthest distance from the radio station to the house of the person.

With the radio station being the center, what we are asked to calculate is the radius which is the distance from the center to the edge ( circumference)

Mathematically, the area can be calculated as

A = π * r^2

Here, we have the Area as 40,000 square miles

Thus,

40,000 = π * r^2

r^2 = 40,000/π

r = √(40,000/π)

r = 112.8379

As a whole number r = 113 miles

Answer:

You can wait at the front of the luchline and survey every tenth student.

Step-by-step explanation:

This way it is equal for everyone.

Answer:

What do you eat every week?

If you include a type of food, then the survey question would be bias though.

Answer:

6 feet

Step-by-step explanation:

1 yard = 3 feet

2 yard =6 feet

Sorry I can't have a better explanation it is really simple.

Answer:

t = 29/42

Step-by-step explanation:

in this equation you have to first multiply everything out on the right side. 3500 * 0.06 = 210.

Now you have 145 = 210t

divide by 210 on both sides

145/210 can be simplified to 29/42

so t = 29/42

Answer:

the answer is 29.516 i had this question and got it right have a great day

Step-by-step explanation:

Answer:

1771/60

Step-by-step explanation:

Answer:

please finish the question?

Step-by-step explanation:

Answer:

10-h

Step-by-step explanation:

i think ur teacher told u to write a equation out of it and if that is it then the equation is 10-h

Answer:

[tex] {x}^{3} - 27[/tex]

Step-by-step explanation:

[tex](x - 3)( {x}^{2} + 3x + 9) \\ x( {x}^{2} + 3x + 9) - 3( {x}^{2} + 3x + 9) \\ {x}^{3} + 3 {x}^{2} + 9x - 3 {x}^{2} - 9x - 27 \\ {x}^{3} - 27[/tex]

Answer:

4,500,000

Step-by-step explanation:

4 million is 4,000,000

half of a million is 500,000

added together is 4,500,000

Answer:

what are the statements

The correlation between the z-scores for X and z-scores for Y is given by: Option A: 0.92

The correlation coefficient(for two variables) is independent of the change of origin and scale of any or both variables.

Thus, we get:

[tex]Corr(X, Y) = Corr\left(\dfrac{X - a}{b}, Y\right) = Corr\left(X, \dfrac{Y - c}{d}\right) = Corr\left(\dfrac{X - a}{b},\dfrac{Y - c}{d}\right)[/tex]

where a, b, c and d are constants.

Suppose the considered random variable be X.

Then, we get the z-scores for X as:

[tex]Z = \dfrac{X - \mu}{\sigma} = \dfrac{X - E(X)}{\sqrt{E(X^2) - [E(X)^2]}}[/tex]

where [tex]\mu = E(X)[/tex] and [tex]\sigma = \sqrt{Var(X)}[/tex] (both are constants).

For this case, we're specified that:

The correlation coefficient for the z-scores of X and Y would be:

[tex]Corr\left(\dfrac{X -\mu_X}{\sigma_X}, \dfrac{Y - \mu_Y}{\sigma_Y}\right)[/tex]

Using the property that origin and scale change doesn't affect correlation coefficient, we get:

[tex]Corr\left(\dfrac{X -\mu_X}{\sigma_X}, \dfrac{Y - \mu_Y}{\sigma_Y}\right) = Corr(X,Y) = 0.92[/tex]

Thus, the correlation between the z-scores for X and z-scores for Y is given by: Option A: 0.92

Learn more about correlation coefficient here:

https://brainly.com/question/10725272

The correct answer to the question is option a) 0.92.

Formula for finding z score is:

where [tex]\mu[/tex] = E(X) and [tex]\sigma[/tex] = √(Var(X)) (both are constants).

We are provided with following information:

Corr(X,Y) = 0.92

Origin &  scale change does not affect correlation coefficient between two scores, so get:

If the correlation between two scores X and Y is 0.92, and both scores are converted to z-scores, the correlation remains unchanged.

This is a property of correlation coefficients, as they are invariant under linear transformations such as converting raw scores to z-scores.

Therefore, the correlation between the z-scores for X and z-scores for Y would be 0.92.

The correct answer is option a) 0.92.

Answer:

173 bagels are left

Step-by-step explanation:

31+42=73

246-73=173

Answer:

The median of the data set is 11.

Step-by-step explanation:

2, 2, 5, 10, 12, 13, 18, 24

10 + 12 = 22

22 / 2 = 11

The median of the data set is 11.

We have given the data set,

24, 2, 13, 12, 2, 5, 10, 18

We have to find the median

So first arrange the given data set in asending order.

2, 2, 5, 10, 12, 13, 18, 24

The median is the central number of a data set.

There are two number at center that are 10 and 12

So we have to find the mean of this two number.

10 + 12 = 22

22 / 2 = 11

So the median is 11.

To learn more about the median visit:

https://brainly.com/question/26151333