Find the volume of the cylinder.
Either enter an exact answer in terms of TT or use 3.14 for T.
6
units3

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[tex]\diamond\large\textsf{\textbf{\underline{Given\:question:-}}}[/tex]

          The backyard is 20 inches long and 37 inches wide. What is the area of the backyard?

[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

We are given the backyard's length (20 inches long) and the backyard's width (37 inches wide).

We are asked to find the area of the backyard, which can be found using the following formula:-

      [tex]\boxed{\bold{A_{(rectangle)}=LW}}[/tex]

Where:-

Substitute the values:-

[tex]\boxed{\bold{A=20*37}}[/tex]

On simplification,

✳︎ [tex]\boxed{\bold{A=740\:in^2}}[/tex], which is our final answer.

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Answer: 37·20=740

Step-by-step explanation:

Count the marbles in the jar:

9 spotted ones

6 purple

10 green

25 total

a) 10/25 = 2/5

B) 19/25

C) 9/25 x 9/25 = 81/625

D) 2/5 x 6/25 = 12/125

E) 6/25 x 19/25 = 114/625

F) 6/25 x 5/24 = 1/20

G) 19/25 x 18/24 = 57/100

H) 6/25 x 14/24 = 7/50

Answer:

36 dollars

Step-by-step explanation:

4.50 times 8 = 36 dollars

Answer:

|AB| = 240 km

Step-by-step explanation:

Finding ∠C :

⇒ 27° + 66° + ∠C = 180°

⇒ ∠C = 180° - 93°

⇒ ∠C = 87°

Applying the Law of Sines :

⇒ sin 66° / 220 = sin 87° / AB

⇒ 0.913545458 / 220 = 0.998629535 / AB

⇒ AB = 220/0.913545458 x 0.998629535

⇒ AB = 240.819981 x 0.998629535

⇒ AB = 240.489946

⇒ |AB| = 240 km (nearest whole kilometer)

Answer:

|AB| = 240 km (nearest km)

Step-by-step explanation:

Draw a sketch with the given information (attached).

Calculate the missing angle (shown in red on the attached diagram).

Given:

The interior angles of a triangle sum to 180°

⇒ ∠ACB + ∠CAB + ∠CBA = 180°

⇒ ∠ACB + 27° + 66° = 180°

⇒ ∠ACB = 180° - 27° - 66°

⇒ ∠ACB = 87°

Use Sine Rule for sides to calculate |AB|:

[tex]\sf \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

[tex]\implies \sf \dfrac{|AB|}{\sin ACB}=\dfrac{|AC|}{\sin CBA}[/tex]

[tex]\implies \sf \dfrac{|AB|}{\sin (87^{\circ})}=\dfrac{220}{\sin (66^{\circ})}[/tex]

[tex]\implies \sf |AB|=\dfrac{220\:\sin (87^{\circ})}{\sin (66^{\circ})}[/tex]

[tex]\implies \sf |AB|=240.4899459...[/tex]

[tex]\implies \sf |AB|=240\:km\:(nearest\:km)[/tex]

Answer:

the square root of 99

6pi-6

pi^3

Step-by-step explanation:

The square root of 99 is approximately 9.9.

6pi-6 is approximately 12.8

pi^3 is approximately 12.8

Answer:

Step-by-step explanation:

An easy way to determine the nature of the quadrilateral is to look at the lengths and midpoints of the diagonals. Adding and subtracting the coordinates of one end point from the other can tell what you need to know.

The diagonals of a parallelogram are mutual bisectors. The diagonals of a rhombus are perpendicular. The diagonals of a rectangle are congruent.

__

The difference of end points of diagonal AC is ...

  C -A = (7, 2) -(-6, 1) = (13, 1)

The sum of the end points of diagonal AC is ...

  C +A = (7, 2) +(-6, 1) = (1, 3)

The difference of end points of diagonal BD is ...

  B -D = (0, 7) -(1, -4) = (-1, 11)

The sum of end points of diagonal BD is ...

  B +D = (0, 7) +(1, -4) = (1, 3)

midpoints

The two diagonals have the same end point sum, (1, 3), meaning their midpoints are coincident. The figure is a parallelogram.

lengths

The lengths of the diagonals will be the same if the sum of squares of the coordinates of the end-point differences are the same.

  Σ(C -A)² = 13² +1² = 170

  Σ(B -D)² = (-1)² +11² = 122 ≠ 170 . . . . . not a rectangle

perpendicularity

The diagonals will be perpendicular if the "dot product" of the end-point differences is zero.

  x1·x2 +y1·y2 = 13(-1) +1(11) = -2 ≠ 0 . . . . not a rhombus

The most specific name for this quadrilateral is parallelogram.

_____

Opposite sides of a parallelogram are congruent and parallel.

Adjacent sides of a rectangle are perpendicular. This is not a rectangle, so adjacent sides are not perpendicular.

A parallelogram that is not a rectangle or rhombus is described most specifically as a parallelogram.

Answer:

Only noninteger values of x

Step-by-step explanation:

did this already

Only non integer values of x best describes the possible values of x in the equation [x-1]=[x]

A number system is defined as a system of writing to express numbers.

When x is an integer, the equation simplifies to [x-1] = [x], which means that the greatest integer less than or equal to (x-1) is equal to the greatest integer less than or equal to x.

This is only possible if x-1 and x are consecutive integers, so x must be an integer value of n + 1/2 for some integer n.

For non-integer values of x, we have x-1 < [x] < x, which means that [x] is equal to the greatest integer less than or equal to x-1.

So, the equation becomes x-1 < [x] < x, which simplifies to x-1 < x - {x} <= x, where {x} is the fractional part of x.

Therefore, we have x-1 < x - {x} and x - {x} <= x, which gives 1 < {x} and {x} <= 0, which is not possible.

Hence, the only values of x that satisfy the equation are non-integer values of x.

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Answer:

Length = 15.14, width = 7.14 and height = 2.43  inches.

( correct to the nearest hundredth).

Step-by-step explanation:

Let the lengths of the squares cut out be x inches.

Then the width of the box will be 12 - 2x and the length will be

20 - 2x inches.

The height of the box is x inches.

Volume V = x(20-2x)(12-2x)

To find the value of x when V is a maximum we find the derivative and equate it to zero.

V = x( 240 - 64x + 4x^2)

V = 4x^3 - 64x^2 + 240x

dV/dx = 12x^2 - 128x + 240 = 0

4(3x^2 - 32x + 60) = 0

This won't factor so we use the formula:

x = [-(-32) +/- √((-32)^2 - 4*3*60)] / 6

= 8.24, 2.43.

So one of these gives a maximum Volume.

The second derivative

d^2V/dx^2 = 24x - 128

When x = 8.24,  this = 69.6 (positive) so this gives a minimum.

x = 2.43 gives a negative  value ( -49.7)  so this is the maximum

So the dimensions are:-

length = 20 - 2(2.43) = 15.14

width = 12 - 2(2.43) = 7.14

height = 2.43.

Inequalities help us to compare two unequal expressions. The options that are correct about the given statement are B, C, and D.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The points that are correct about the given inequality 2(8/9)≥x are:

Hence, the options that are correct about the given statement are B, C, and D.

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If there is 15% off and the sales tax rate is 8.25%. Then the price of the car will be $ 8,189.11.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A car originally priced at $8,900 is on sale at 15% off. If the sales tax rate is 8.25%.

The cost after 15% off will be

→ 0.85 × $8,900

→ $ 7,565

Then the final cost after the sale tax of 8.25% will be

Cost = $ 7,565 × 1.0825

Cost = $ 8,189.11

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Answer & step-by-step explanation:

See the image attached below:

Answer:

I believe he would need 12 batteries

Answer:

B) 10

Step-by-step explanation:

The range of a data set is found by subtracting the smallest term given in the set from the largest term given in the set. First, set the terms in order from least to greatest:

5 , 7 , 10 , 11 , 12 , 13 , 15 , 15, 15 ,

Subtract the greatest (15) with the least (5): 15 - 5 = 10

B) 10 is your answer.

~

Answer:

The answer is b) 10

Step-by-step explanation:

i took the test

Answer:

The independent variable is m, while the dependent variable is t.

Step-by-step explanation:

An independent variable is a variable that does not rely on another variable to change its outcome. In this case, the variable 'm' does not rely on the ride's total cost.

The dependent variable is a variable that depends on another variable to give its amount. In this case, 't' is the dependent variable, because it depends on how many miles were driven, in order to provide the correct answer.

t = $6 + ($1.50 x m)

3 miles: t = $6 + ($1.50 x m) or $10.50 = $6 + ($1.50 x 3)

4 miles: t = $6 + ($1.50 x m) or $12 = $6 + ($1.50 x 4)

5 miles: t = $6 + ($1.50 x m) or $13.50 = $6 + ($1.50 x 5)

6 miles: t = $6 + ($1.50 x m) or $15 = $6 + ($1.50 x 6)

7 miles: t = $6 + ($1.50 x m) or $16.50 = $6 + ($1.50 x 7)

8 miles: t = $6 + ($1.50 x m) or $18 = $6 + ($1.50 x 8)

9 miles: t = $6 + ($1.50 x m) or $19.50 = $6 + ($1.50 x 9)

10 miles: t = $6 + ($1.50 x m) or $21 = $6 + ($1.50 x 10)

Answer:

36 units

Step-by-step explanation:

area of right angle triangle =1/2* b*h.

by counting the square,b=8 units and h=9 units

therefore,area 1/2* 8units * 9units

1/2*72units^2

36units^3

Answer:

See below ~

Step-by-step explanation:

x-values :

y-values :

Answer:B

Step-by-step explanation: The cluster is the 5 points in the bottom right corner or; between x-values 8 and 10 and y-values 4 and 6.

Answer: b=840

Step-by-step explanation:

edge 2022

do good on your tests !!

There are 840 ways can he arrange his family members into a row of five seats if Jose must sit in the first seat

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Since, the order matters, we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

ⁿPₓ = n! / (n - x)!

In this question:

The first seat is Jose's.

The remaining four are organized among the other 7 members. So

There is no difference. So, 7 people can be sit in different ways as;

ⁿPₓ = n! / (n - x)!

⁷P₄ = 7! / (7 - 4)!

     = 7! / 3!

     = 840

So, the correct answer is, 840

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Using the normal distribution, it is found that your systolic blood pressure is of 110.45.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Researching the problem on the internet, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 122, \sigma = 22[/tex].

The 30th percentile is X when Z = -0.525, hence your BP is given as follows.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.525 = \frac{X - 122}{22}[/tex]

X - 122 = -0.525 x 22

X = 110.45.

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Answer:

53

Step-by-step explanation:

7 * 7 = 49 + 4 = 53

Answer:

A. 53

Step-by-step explanation:

Find number of trophies on shelves:

7 shelves x 7 trophies each = 49 trophies on shelves

Find total number of trophies:

49 trophies on shelves + 4 leftover = 53 trophies overall

So the answer is A. 53

Answer:

Step-by-step explanation:

1.15 represents a 15% increase so if you want a 15 % increase from last year, you would multiply 1.15 by m to get 1.15m

:)

Answer:

convert the diameter and the height to the same unit

Step-by-step explanation:

Answer: convert the diameter and the height to the same unit

Step-by-step explanation:

      The surface area of a cylinder can be found with A = 2πrh + 2πr². To use this formula, all units of measurement must be the same.

      This can be converting 5 centimeters to millimeters or converting 50 millimeters to 5 centimeters.

Step-by-step explanation:

option A is correct answer

Answer:

2.4

Step-by-step explanation:

set up an equation to find x, the number.

[tex]25x+8=68[/tex]

subtract 8 from both sides

[tex]25x=60[/tex]

divide both sides by 25 to get x (the variable) alone

[tex]x=\frac{60}{25}=\frac{12}{5}=2.4[/tex]

Answer:

A) $4,905 B) $5,310

Step-by-step explanation:

To get the answer, just simply add the amount by the percentage.

4,500 + 9% = A

For 2 years, just do 9 x 2 = 18 because it's 2 years

4,500 + 18% = B

Answer:

300(1 + 0.04/2)3(2) = $337.85

Step-by-step explanation:

Answer:

Center = (-4, 5)

Radius = 5

Step-by-step explanation:

Equation of a Circle :

Finding the center :

Finding the radius :

Answer:

Step-by-step explanation:

Equation 6x - 4= -4(X-5)                      Remove the brackets

Solution

6x - 4 = -4x + 20                                   Add 4x to both sides

6x + 4x -4 = -4x+4x + 20                      Combine

10x - 4 = 20                                           Add 4 to both sides

10x - 4 + 4 = 20 + 4                               Combine

10x = 24                                                 Divide by 10

10x/10 = 24/10

x = 2.4

Answer: x = 2.4