In the rectangle
P
Q
R
S
, the side
P
Q
is of length
2
and the side
Q
R
is of length
4
.

Points
T
and
U
lie inside the rectangle so that
P
Q
T
and
R
S
U
are equilateral triangles.

What is the area of the quadrilateral
Q
R
U
T
?

Volume of Cylinder B is,

⇒ V = 2.67π

We have to given that;

Two cylinders A nd B are shown in figure.

Here, In cylinder A;

Diameter = 4 cm

Volume of cylinder = 24π

Since, Volume of cylinder is,

V = πr²h

For cylinder A;

⇒ 24π = π (2²) × h

⇒ 24 / 4 = h

⇒ h = 6

Since, Cylinder A and B are similar.

Here, Height of B = 2 cm

And, Height of A = 6 cm

So, Scale factor is,

⇒ 6 / 2

⇒ 3

Hence, Radius of B  = 2/3

So, Volume of Cylinder B is,

⇒ V = π × (2/3)² × 2

⇒ V = 2.67π

To learn more about the volume visit:

brainly.com/question/24372707

#SPJ1

Answer:

15

Step-by-step explanation:

9.5 / 0.6 =

95/6 =

15.83333

Since a person cannot be a half, say that Carly can serve 15 guests.

Answer:

She can serve 15 people

Step-by-step explanation:

This is a division problem

9 1/2 ÷ 3/5

Change the mixed number to an improper fraction

9 1/2 = ( 2*9 +1) /2 = 19/2

19/2 ÷ 3/5

We can use copy dot flip to change division to multiplication

19/2 * 5/3

95/6

Change the improper fraction to a mixed number

95/6 = 15 with5 left over

15 5/6

She can serve 15 people

Answer:

  25 yards long, 5 yards wide

Step-by-step explanation:

The given parameters can be used with the area and perimeter formulas for a rectangle to form an equation that can be solved for the dimensions.

The length and width can be represented by x and y. The formulas for area and perimeter give two equations relating these two variables:

  A = LW   ⇒   125 = xy

  P = 2(L+W)   ⇒ 60 = 2(x +y)

Using the second equation to write an expression for y, we have ...

  y = 30 -x

Substituting into the first equation gives ...

  125 = x(30 -x)

This suggests we can find x by looking for factors of 125 that total 30.

  125 = 1(125) = 5(25)

Factor totals are 126 and 30. This means we have ...

  x = 5, y = 30-5 = 25

or

  x = 25, y = 30 -25 = 5

The rectangle dimensions are 5 yards by 25 yards.

__

Additional comment

The two equations can also be solved graphically, as in the attachment.

The rectangle will be 25 yards long, and 5 yards wide.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

The given parameters can be used with the area and perimeter formulas for a rectangle to form an equation that can be solved for the dimensions.

The length and width can be represented by x and y. The formulas for area and perimeter give two equations relating to these two variables:

 A = LW   ⇒   125 = xy

 P = 2(L+W)   ⇒ 60 = 2(x +y)

Using the second equation to write an expression for y, we have ...

y = 30 -x

Substituting into the first equation gives ...

125 = x(30 -x)

This suggests we can find x by looking for factors of 125 that total 30.

125 = 1(125) = 5(25)

Factor totals are 126 and 30. This means we have.

x = 5, y = 30-5 = 25

x = 25, y = 30 -25 = 5

Therefore, the rectangle will be 25 yards long, and 5 yards wide.

To know more about the area follow

https://brainly.com/question/25073211

#SPJ1

Answer:

im guessing thats on khan so 4=4  and 8 = 2:)

Step-by-step explanation:

Answer: Both

Step-by-step explanation: Both equal y intercept

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

The slope of the new road based on the information given is 0.

A slope of a line is defined in mathematics as the change in y coordinate with respect to the change in the x coordinate. The net change in y-coordinate is denoted by  Δy, while the net change in x-coordinate is denoted by  Δx. Where "m" represents the slope of a line. As a result, tanθ  represents the slope of a line.

The slope of d street line is tan(90)

[if the angle made by a line with x axis is  then, the slope of that line will be tan() ]

Here, the angle made by the d street line with x axis is 90 degrees. If a road is to be built which is perpendicular to d street , it should make 0 degrees i.e, it should be parallel to x axis. So, the slope of new road will be tan(0) = 0

Learn more slope on:

https://brainly.com/question/16949303

#SPJ1

Answer:

The probability that exactly one of the selected adults says that he or she was too young to get tattoos is 0.4096.

Step-by-step explanation:

Let X denote the number of adults who says that he or she was too young to get tattoos.

The probability of selecting an adults who says that he or she was too young to get tattoos is, p = 0.20.

Five adults who regret getting tattoos are randomly selected.

The events of any of these five adults regretting getting tattoos is independent of each other.

The random variable X follow a Binomial distribution with parameters n = 5 and p = 0.20.

Compute the probability that exactly one of the selected adults says that he or she was too young to get tattoos as follows:

\(P(X=x)={5\choose x}(0.20)^{x}(1-0.20)^{5-x}\\\\P(X=1)={5\choose 1}(0.20)^{1}(0.80)^{5-1}\\\\\)

                \(=5\times 0.20\times 0.4096\\\\=0.4096\)

Thus, the probability that exactly one of the selected adults says that he or she was too young to get tattoos is 0.4096.

1. The coordinates of Y is at Y(10, 0).

2. The equation for diagonal is y = 3/2x - 15

3. The equation for diagonal passing through Z is y = 7/2x - 35.

As from the coordinates of Y is at Y(10, 0).

2. The equation for diagonal is

(y - 0)= (4-10)/ (-4-0) (x - 10)

y= (-6)/ (-4) (x-10)

y = 3/2 (x-10)

y = 3/2x - 15

3. The equation for diagonal passing through Z

(y - 0)= (3-10)/ (-2-0) (x - 10)

y= (-7) / (-2) (x-10)

y = 7/2(x-10)

y = 7/2x - 35

Learn mire about Slope here:

https://brainly.com/question/3605446

#SPJ1

Answer:

<

Step-by-step explanation:

The bigger the numerator,the smaller it is.

Answer:

i agree <

Step-by-step explanation:

The difference of the distances traveled by the comets for any given number of minutes is 25t.

Since the first comet travels at a speed of 30,000 miles per hour, the distance it travels in t minutes is d = 30000 mph × 1 h/60 min × t = 500t miles.

Also, the second comet travels at a speed of 28,500 miles per hour, the distance it travels in t minutes is d' = 28,500 mph × 1 h/60 min × t = 475t miles.

So, the difference in the distances traveled by the comets D = d - d'

= 500t - 475t

= 25t

So, the difference of the distances traveled by the comets for any given number of minutes is 25t.

Learn more about distance traveled by comets here:

https://brainly.com/question/11458136

Answer:  7.5²π   square centimeters.  OR  56.25π cm²

Step-by-step explanation:

Circumference = diameter × π

So the diameter is 15 cm

Area = πr²

Radius is half the diameter, so 15/2 or 7.5

Area = (15/2)²π cm²  

Answer:

in 1,2 options they r in exponential form

in 4,option also, we can write it as xpower1/2 so this also in exponential form

but in third option y=x there is no exponential form

The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

For more such question on index. visit :

https://brainly.com/question/15361818

#SPJ8

The equation of a line in point slope form is expressed as:

y - y1 = m(x-x1)

where:

Given the following:

Substitute into the formula:

y - 1 = 3(x-6)

y - 1 = 3x - 18

y - 3x = -18 + 1

y -3x = -17

Next is to plot the equation of the line y -3x = -17

Learn more on equation of a line here: https://brainly.com/question/13763238

\(a(n) = 3 + 2n\) for \(n \ge 0\) functions generate the arithmetic sequence.

It is a "sequence where the differences between every two successive terms are the same" (or) In an arithmetic sequence, "every term is obtained by adding a fixed number (positive or negative or zero) to its previous term".

The first term of an arithmetic sequence is a, its common difference is d, n is the number of terms.

Arithmetic sequence formula is given as, \(a_{n} =a+(n-1)d\).

Given arithmetic sequence

\(3, 5, 7, 9,.....\)

n is an integer

\(a = 3\)

By considering the above arithmetic sequence, we can say that each term in the sequence is in the form of 3 + 2n, where , n ≥ 0.

So, the correct option is A

\(a(n) = 3 + 2n\) for \(n \ge 0\)

Thus, \(a(n) = 3 + 2n\) for  \(n \ge 0\)  functions generate the arithmetic sequence.

Find out more information about arithmetic sequence here

https://brainly.com/question/15412619

#SPJ3

Answer: Subtracted 9.

Step-by-step explanation: To solve equations such as these, you always do the opposite than whatever the term is. For example, in your equation, "13" and "x" are MULTIPLIED together, which is why it's divided. The 9 is subtracted, which means it would need to be added to the other side.

Always remember that these equations are like scales- each side needs to be equal.

I hope this helps!

Answer:

Step-by-step explanation:

You have omitted relevant parts of the question. What is the question? Are you looking for the area of the yard? The amount of fencing needed?

What units are used? (Feet, yards, meters, etc.)

area of yard = 75×55 = 4125 units²

amount of fencing needed = perimeter of rectangle = 2(75+55) = 260 units.

The total length of the fencing is the perimeter of the rectangular yard which is P = 260 feet

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P = 2 ( Length + Width )

Given data ,

The width of the rectangular yard W = 55 feet

The length of the rectangular yard L = 75 feet

Let the perimeter of the rectangular yard be = P

And , the required fencing = Perimeter of rectangular yard

Perimeter of rectangular yard P = 2 ( L + W )

Substituting the values in the equation , we get;

Perimeter of rectangular yard P = 2 ( 55 + 75 )

Perimeter of rectangular yard P = 2 ( 130 )

Perimeter of rectangular yard P = 260 feet

Therefore , the value of P is 260 feet

Hence , the perimeter of yard is 260 feet

Learn more about perimeter of rectangle click :

brainly.com/question/15725265

#SPJ3

Mr. Fuller wants to put fencing around his rectangular-shaped yard. the width of the yard is 55 feet and the length is 75 feet. how many feet of fencing does Mr. Fuller

The total amount to each person end up paying $20.54.

To find the total amount each person will pay, first calculate the 20% tip on the total bill and then divide the sum by the number of people.

To split the bill evenly among Raphael and his four friends, we first need to find the total cost including the 20% tip.

The tip is 20% of the original bill, which is equivalent to 0.20 x $85.60 = $17.12.

Therefore, the total cost of the bill with the tip is $85.60 + $17.12 = $102.72.

To split this evenly among the five people, we divide by 5:

$102.72 ÷ 5 = $20.54

So each person will end up paying $20.54.

20% of $85.60 is ($85.60 * 0.20) = $17.12

Add the tip to the total bill:

$85.60 + $17.12 = $102.72

Divide the total amount by the number of people (5): $102.72 / 5 = $20.54

Therefore, the answer is B. $20.54.

For similar question on total amount:

https://brainly.com/question/11807738

#SPJ11

Answer:

A)It takes Jody 2 hours to bike to the park.- Correct

B)The park is located 2 kilometers from Jody's house.- Incorrect

C) When Jody is at her house she has biked for 0 hours.- Correct

Step-by-step explanation:

We are given that The distance she travels on her bike, in kilometers, is equal to the function f(t), where t represents the number of hours she has been riding her bike.

f(t)= Distance covered in t hours

t = time in hours

Jody rides her bike from her house to the park. Before Jody leaves her house f(0) = 0

So, Distance covered in 0 hours is 0 km

So, When Jody is at her house she has biked for 0 hours

Jody reaches the park f(2) = 30.

So, Distance traveled in 2 hours is 30 km

So, It takes 2 hours to reach park

A)It takes Jody 2 hours to bike to the park.- Correct

B)The park is located 2 kilometers from Jody's house.- Incorrect

C) When Jody is at her house she has biked for 0 hours.- Correct

Answer:

1. Correct

2. Incorrect

3. Correct

Step-by-step explanation:

the other dude said it lol

A' (3(-5),3(-4))= (-15,-12)

B' (3(2),3(6))=(6,18)

C'(3(4),3(-3))=(12,-9)

The square symbol on the corner of an angle represents that the angle has a measure of 90º.

Since the angle labelled as 16x-6 and the angle of 90º are alternate interior angles for the parallel lines u and v, then their measures are the same. Then:

Solve for x:

Therefore, the value of x is 6.

The outlier of the graph is

An outlier is an isolated data point that significantly differs from the entirety of the points within a dataset. It is an observation that resides an exceptional distance away compared to other values in a random sample from a population.

Outliers can be identified employing various statistical techniques, like graphical methods (for instance, box plots, scatterplots) and numerical procedures (e.g., Z-score, IQR method).

The problem used a scatter plot plot to show that the outlier is (5, 1)

Learn more about outlier at

https://brainly.com/question/22324006

#SPJ1

The volume of air passing through the filter is 800 cubic feet per minute. It is calculated by multiplying the air flow speed (100ft/min) by the area of the filter (8ft²).

The volume of air passing through the HEPA filter can be calculated using the formula for the speed of air flow multiplied by area. The speed of the air flow is given as 100ft/min and the area of the filter is given as 4ft x 2ft, which equals 8 square feet. Therefore, the volume of the air passing through the filter can be calculated as 8ft2 x 100ft/min = 800 cubic feet per minute.

https://brainly.com/question/34222506

#SPJ2

The members of the given set in this problem are given as follows:

X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}

The union and intersection sets of multiple sets are defined as follows:

The intersection of the sets Y and Z for this problem is given as follows:

Y ∩ Z = {0, 6, 23, 26}

(which are the elements that belong to both of the sets).

The union of the above set with the set X is given as follows:

X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}

(elements that belong to at least one of the sets).

More can be learned about union and intersection at brainly.com/question/4699996

#SPJ1

Answer:

x=24

Step-by-step explanation:

Answer:

I think the number is 10.

Step-by-step explanation:

Seven less than a number is x - 7 (If x is the number). Then x - 7 = 3 so, x = 3+7 = 10.

Hoped I helped.

The volume of the described solid is V = 16r³/3

Given,

A solid line S should be drawn between z=a and z=b. If S has a cross-sectional area of Px through x and is perpendicular to the x-axis, then A (x)

Volume of S = limₙ→∝ ∑i=₁ⁿ A(xi) Δx = \(\int\limits^b_a {A(x)} \, dx\)

The equation of circle x² + y² = r² where r is the radius of the circle.

Equation of upper semicircle yu= √(r²-x²)  and

Equation of lower semicircle yl = -√(r²-x²)

Area of cross-section A(x) = (yu² - yl²)

Substitute yu and yl values

A(x) = [√(r²-x²) - (-√(r²-x²) )]² = 4(r² -x²)        (1)

The limit for volume v varies from -r to r

Thus Volume v = ₋\(\int\limits^r_r {A(x)} \, dx\)

Substitute A(x) from (1)

V = ₋\(\int\limits^r_r {4(r^{2}-x^{2} ) } \, dx\)

⇒V = 4[r²x - x³/3 ]

⇒V = 4(r³ - r³/3) - 4(-r³ + r³/3) = 4[2 (r³ - r³/3)] = 16r³/3

The volume of the described solid S where the base is a circular disk or radius r and parallel cross sections perpendicular to the base are squares is V = 16r³/3

Learn more about volume of solid here;

https://brainly.com/question/29061740

#SPJ4

Answer:

Answer to 6/9-2/3= 0; Lowest common denominator = 3;

Step-by-step explanation:

You can only reduce 6/9 to 2/3, you cant reduce the fraction any further.

The biconditional statement for the given conditional statement would be:

2x = 18 if and only if x = 9.

The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".

To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.

If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.

Based on this, we can write the biconditional statement:

2x = 18 if and only if x = 9.

The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.

In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.

for such more question on conditional statement

https://brainly.com/question/27839142

#SPJ8