A cylinder has a base radius of 7in and a height of 18in. What is its volume in cubic in, to the nearest tenths place?

The SAS congruence states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

First, let's take two triangles ABC and DEF. If the side lengths of both triangles are the same (AB = DE, AC = DF) and the included angle (angle A) is the same in both triangles (angle A = angle D) then the two triangles are congruent. This is known as the SAS congruence.

To prove the SAS congruence, we can use the Law of Congruent Triangles. This law states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

To prove this, we can use the Side-Angle-Side Postulate. This postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

This means that if the side lengths of both triangles are the same (AB = DE, AC = DF) and the included angle (angle A) is the same in both triangles (angle A = angle D) then the two triangles are congruent. This is known as the SAS congruence.

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There are 256 expected value  for both a and b, so there are 256 x 256 = 65536 possible pairs of (a,b). Of these, there are 2112 pairs for which the sum of a and b is divisible by 12.

1. There are 256 possible values for both a and b. That means there are 256 x 256

= 65536 possible pairs of (a,b)

2. To find the number of pairs for which the sum of a and b is divisible by 12, we can look at the numbers 0 to 255 and see how many multiples of 12 there are. There are 21 multiples of 12 from 0 to 255, so

21 x 21

= 441.

3. Each multiple of 12 can be paired with any other number from 0 to 255, so there are 21 x 256 = 2112 pairs of (a,b) for which the sum is divisible by 12.

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Answer:

168

Step-by-step explanation:

Gift Cards sold by  Ernie = 66

Gift cards sold by  Hessie = 24

Gift Cards sold by Makayala = 78

Common Factor = 6

66 = 6 x 11

24 = 6 x 4

78 = 6 x 13

The total number of gift cards sold is the sum of each person, that being  66 + 24 + 78 which equals 168

Total number of gift cards that all three sold = 168

Quartiles divide data sets in fourths.

In statistics, a quartile is a specific kind of quantile that splits the total number of data points into four roughly equal portions, or quarters. Quartiles are a type of order statistic since they require the data to be arranged from smallest to largest in order to be computed.

Quartiles (Quartiles are the most prevalent percentiles. Data sets are divided into quadruples, or four equal sections, by quartiles. The bottom 25% of the data are separated from the top 75% by the first quartile, abbreviated Q1. The first quartile therefore corresponds to the 25th percentile. The second quartile, or Q2, separates the bottom 50% of the data from the top 50%; it is corresponding to the median or 50th percentile. The third quartile, or Q3, which corresponds to the 75th percentile, separates the bottom 75% of the data from the top 25%.

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Based on a scale factor of 1 inch to 100 feet, the length of the model of the bridge is equal to: D. 89.8 inches.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric figures such as bridges, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.

Mathematically, the scale factor of a geometric object can be calculated by dividing the dimension of the image by the dimension of the pre-image (original figure).

Substituting the given parameters into the scale factor formula, we have the following;

Length of model bridge = 8980/100

Length of model bridge = 89.8 inches.

In this context, we can reasonably infer and logically conclude that the model bridge's length is equal to 89.8 inches.

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The simplified form of the expression -5/9 ÷ -1/3 is  1 2/3.

Given the expression in the question;

-5/9 ÷ -1/3

To divide a fraction by another fraction, multiply by its reciprocal.

Hence;

-5/9 × -3/1

Note that; - × - = +

5/9 × 3/1

Multiply 5 and 3

( 5 × 3 ) / 9

15 / 9

Cancel out the common factor of 3

5/3

Convert the improper fraction

5/3

1 2/3

Therefore, the result is 1 2/3.

Option B) 1 2/3 is the correct answer.

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A result is called "statistically significant" when the p-value is less than the significant level, typically 0.05.

This means that there is less than a 5% chance that the results are due to chance alone, and suggests that there is a real effect present in the data.

The Null Hypothesis is the assumption that there is no significant difference between the measured phenomenon and a certain value or set of values. A statistically significant result means that the observed data are inconsistent with the assumption of no difference, or no effect.

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The limit as x approaches 0, or lim x → 0 of sin(3x) – 3x + 9/2x3x5 is 9.

This limit, which can be written as Lim, the approach can be evaluated by rewriting or rephrasing the limit as a power series and evaluating the limit from one term to the other limit term. The power series of the sin(3x) is 3x - (9/2)x3 + (27/8)x5 - (81/16)x7 + (243/128)x9 - O(x10). As the x approaches the 0, the higher-order terms are very much negligible as well as the limit itself simplifies to the calculations as given below:

9 – 0 + 9/2 = 9.

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On solving the provided question, we can say that - the area of the following parallelograms is = 125cm sq.

A parallelogram is a straightforward quadrilateral in Euclidean geometry that has two sets of parallel sides. In a particular kind of quadrilateral known as a parallelogram, both sets of opposite sides are parallel and equal. There are four different kinds of parallelograms, including three unique kinds. Parallelograms, squares, rectangles, and rhombuses are the four different shapes. Having two sets of parallel sides makes a quadrilateral a parallelogram. In a parallelogram, the opposing sides and angles are both the same length. On the same side of the horizontal line, the interior angles are additional angles as well. 360 degrees is the total number of interior angles.

here we have,

B = 25 cm

and H = 5 cm

Area of parallelograms, A = B X H = 25 X 5 = 125 cm sq.

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Step-by-step explanation:

Answer:

The red graphed equation is f(x) = y + 3

Step-by-step explanation:

The red graph is +3 units greater than the black graph.

Red = f(x)+3

The nomenclature is confusing, but if we say the black graph is given by y, the red graph would be y+3.  This looks like c, although is is not clear what f(x) refers to.

See the attached worksheet.

Answer:

Lucia has a faster rate.

Step-by-step explanation:

Lucia's unit rate

46/4 = 11.5   240 minutes is the same as 4 hours   240/60

Lucia can travel 11.5 miles in 1 hour.

Quinn's unit rate:

51/5 = 10.2

Quinn can travel 10.2 miles in 1 hour

Answer:Lucia is faster

Step-by-step explanation:

speed= distance / time Lucia:46miles /240

Answer:Not Sure if this is correct but Is it 3.2?

Step-by-step explanation:

Thats the only thing i can think of

Main answer: 3.2142857142

To Find: 45/14 rounded to the nearest tenth

Solution:

First step:

divide 45 by 14 ( Here Dividend is 45 and the divisor is 14)

Second step:

14 multiplied by 3 =  42  ( It means dividing 45 by 14 will get a 3  quotient)

Third step:

Put a decimal in the quotient to add an extra zero in the dividends to find the value in the decimal.

Fourth step:

After subtracting 42 from 45 will get 3 as a remainder

We will add 0 to find the value in decimal

so, 30 is dividend, we will again divide it by 12

14*2 = 28 ( 2 is quotient)

Fifth step:

we will get 2 as remainder

again repeat the same step by adding 0 and dividing it by 14

Sixth step:

Now, 20 divided by 14 , will get 1 as quotient and 7 as remainder

Seventh step:

6 will become 60, after dividing it by 14, will get 4 as quotient and 4 as remainder

Eighth step:

After dividing 40 divided by  14, will get 2 as quotient and 12 as remainder

as 12 is lesser than 14, we will add extra zero in dividend

after dividing 120 by 14, we will get 8 as quotient and 8 as remainder

divide 80 by 14, will get 5 as quotient and 10 as remainder

divide 100 by 14 , will get 7 as quotient and 2 as remainder

divide 20 by 14 , will get 1 as quotient and 6 as remainder

divide 60 by 14,  will get 4 as quotient and 4 as remainder

divide 40 by 14, will get 2 as quotient and 12 as remainder

divide 120 by 14, will get 8 as quotient and 8 as remainder

Final answer: 3.2142857142

If $3,000 is loaned for 4 months at 4.5% AR , He earned $45 interest .

What is interest ?

Interests are subjects that fascinate you and want to learn more about. Interests are usually more about learning and discovering ideas, concepts, and knowledge like history, animal behavior, or even pop culture. For example, if your interest is history, going to museums would be your hobby.

Have given ,

$3,000 is loaned for 4 months at a 4.5% annual rate ,

To find how much interest is earned ,

annual rate is 4.5% then 4 months rate will be [tex]\frac{4.5}{3}[/tex] = 1.5%

So, he earned 1.5% interest for $3,000 ,

Let's calculate , [tex]\frac{3000*1.5}{100}[/tex]

[tex]\frac{4500}{100}[/tex] = $45

If $3,000 is loaned for 4 months at 4.5% AR , He earned $45 interest .

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The x values after solving the equation |2x - 5| = |7x + 10| are -3 and [tex]\frac{-5}{9}[/tex].

As per the given data, the given equation is:

|2x - 5| = |7x + 10|

Here we have to solve the given equation.

Which means we have to find the value of x.

|2x - 5| = |7x + 10|

Remove the mod on either side of the equation.

When we remove mod ± should be added to another side of the equation.

We get:

2x - 5 = ± (7x + 10)

When it is positive, we get:

2x - 5 =  (7x + 10)

7x - 2x = -5 - 10

5x = -15

x = -3

When it is negative, we get:

2x - 5 = - (7x + 10)

2x - 5 = -7x - 10

2x + 7x = -10 + 5

9x = -5

x = [tex]\frac{-5}{9}[/tex]

Therefore the values of x are -3 and [tex]\frac{-5}{9}[/tex].

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Answer:

Step-by-step explanation:

if temperature is -15 and falls by 6 what is the new temperature?

the temperature falls, so it's colder, add -15 to -6 and you get - 21 (your answer)

A) Point H is the center of the circle that passes through points D, E, and F.

and , C) Line segment H E is-congruent-to line segment H.

Circumcenter of Triangle:

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. The parallel points of the bisectors of a triangle are called the circumcenter. This is represented by P(X,Y). The circumcenter is also the center of the triangle's circumcircle, which can be either inside or outside the triangle.

Line Segment:

In geometry, a line segment is a portion of a straight line bounded by two different endpoints and includes all points on the line between the endpoints. The length of the line segment is determined by the Euclidean distance between the endpoints. A closed line includes both endpoints, but an open line does not. A half-open line contains only one endpoint. In geometry, line segments are often denoted by lines over two endpoint symbols.

Examples of line segments are the sides of triangles or squares. More generally, if both endpoints of a segment are vertices of a polygon or polyhedron, the line segment is either an edge (of that polygon or polyhedron) if the vertices are adjacent, or a diagonal line . If both endpoints are on a curve (such as a circle), the line segment is called a chord (of that curve).

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The unit price of the insulated socks is $6.89

The unit price of an item is the cost per unit of the item. We divide the price of certain number of units of an item by the number of units to find the unit price of that item.

We want to find the unit price for the insulated socks, or the price per pair of insulated socks. To find the unit price, we must divide the cost by the pairs of socks

We know that it costs $41.34 for 6 pairs of socks.

That is $41.34/6

=$6.89

The unit price is $6.89 per pair of insulated socks.

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Option D: The solution of the system of equation is (-1,-2)

A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.

A finite collection of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

To create an equation in one variable using the elimination approach, you may either add or subtract the equations. To remove a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

The equations are :

y = 3x + 1 ⇒ y - 3x = 1 (i)

y = -2x -4 ⇒ y + 2x = -4  (ii)

Subtracting (i) from (ii) we get ,

2x +3x = -4 -1

⇒ 5x = -5

⇒x = -1

for x = -1

y = 3x + 1 = 3*(-1) + 1 = -2

The solution of the system of equation is (-1,-2)

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1000 milliliter make up one liter. Therefore, we can multiply the volume by 1000 to get the value in milliliter for any liquid capacity expressed in liter.

Knowing the relationship between the two units will make converting between liter and milliliter simple. Both liters and milliliter are measurements of a liquid's volume. The basic measure of liquid capacity is the liter.

The liquid volume can also be measured in milliliter, centiliters, and kiloliters. All of these units have different values from one another.

Similar to milliliters, liters also denote volume, however, one liter is equivalent to one thousand milliliters (1 L = 1000 mL). The formula below can be used to translate a value from liters to milliliter:

1000 milliliter make up one litre. Therefore, we can multiply the volume by 1000 to get the value in milliliter for any liquid capacity expressed in liters.

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With the greatest common factor method all of the roses and bellflowers, Luis can plant a maximum of 8 flower boxes.

Three techniques—listing out the common factors, primal factorization, and division method—can be used to determine the biggest common factor of two or more natural numbers. To get the GCF, each procedure needs to be multiplied and divided. For instance, 14 and 35 have a GCF of 7.

Luis buys 16 bellflowers and 20 roses.

Factors of 16 : 4 x 4 x 2 x 2 x 2 x 2

Factors of 20 : 5 x 4 x 2 x 2

The GCF is the greatest common factor.

∵ The GCF of the numbers 16 and 20 is 4 x 2 = 8.

So,

the greatest number of flower boxes Luis can plant using all the bellflowers and roses is 8.

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The domain of the function  [tex]f(x) = log_{b} x[/tex]  is (0, ∞) and the range of the function is  (-∞, ∞) which means that all real numbers is the range for the given function.

The domain of the function is the set of numbers for which the function is defined. It acts as input for the function and gives output known as range.The range of the function is the set of numbers of possible output values.It is derived from set of inputs known as domain.

Given,         [tex]y = log_{b} x[/tex]

To calculate the domain of given function we put argument greater than 0
               [tex]x > 0[/tex]

Now we have to express the domain in the form of interval

             Domain = (0, ∞)

Now put the domain in logarithmic expression to get range:

                 ∴ Range = (-∞, ∞)

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Zamir's total distance is 24 meters, while Talia's total distance is 19 meters. This means that Zamir covered a greater distance in the maze than Talia.

Based on the information provided, it appears that Zamir's total distance is greater than Talia's total distance. This is because Zamir took more steps and covered a longer distance in the maze.

To calculate the total distance for each person, you can add up the length of each individual step they took. For Zamir, this would be 2 + 2 + 4 + 2 + 4 + 2 + 3 + 4 + 4 = 24 meters. For Talia, this would be 2 + 6 + 3 + 4 + 4 = 19 meters.

Therefore, Zamir's total distance is 24 meters, while Talia's total distance is 19 meters. This means that Zamir covered a greater distance in the maze than Talia.

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Answer:

Equal Too

Step-by-step explanation:

The solution and the graph of the compound inequality x + 5 ≤ 1 or x - 7 ≥ -3 is (d) x ≤ -4 or x ≥ 4

From the question, we have the following parameters that can be used in our computation:

A compound inequality

The expression of the compound inequality is then given as

x + 5 ≤ 1 or x - 7 ≥ -3

Subtract both sides of the inequalities by the constant terms

So, we have the following representation

x + 5 - 5 ≤ 1 - 5 or x - 7 + 7 ≥ -3 + 7

Evaluate the differences

This gives

x ≤ -4 or x ≥ 4

The ≤ and ≥ means that the circles on 4 and -4 are closed circles

It also means that the arrows point to different directions and they never meet

Hence, the graph is (d)

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Answer: 7 sq units

Step-by-step explanation:

I'm pretty sure that this is right

The number of lightning flashes per month worldwide is 25920000.

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner. It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.

Given that,

Average of lightning flashes per second worldwide = 100

Number of days in a month = 30

Total number of seconds in a day = 86400

Total number of lightning flashes in a day = 100* 86400 = 8640000

Therefore, the total number of lightning flashes in a month = 8640000*30 = 25920000

Hence, the number of lightning flashes per month worldwide is 25920000.

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The number of lightning flashes per month worldwide is 2,59,20,000.

The solution is as follows:-

Average of lightning flashes per second worldwide = 100

Number of days in a month = 30

Total number of seconds in a day = 86400

Total number of lightning flashes in a day = 100* 86400 = 8640000

Therefore, the total number of lightning flashes in a month = 8640000*30 = 25920000

Hence, the number of lightning flashes per month worldwide is 2,59,20,000.

Number system

A number system is a system representing numbers. It is also called the system of numeration and it defines a set of values to represent a quantity. These numbers are used as digits and the most common ones are 0 and 1, that are used to represent binary numbers.

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Answer:

(625 - 121)(625 + 121)

Step-by-step explanation:

625² - 121² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

then

625² - 121²

= (625 - 121)(625 + 121) ← in factored form

The product when a given fraction is multiplied by a factor will always be less than the given fraction.

As evident in the task content; it is required to determine if the product of a fraction and a factor less than 1, is always, sometimes or never less than the given fraction.

Generally, when a number, x is multiplied by a number less than 1, the result of the product is always less than the x.

On this note, it follows that the product will always be less than the given fraction.

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The  two squares of the the product of two consectuitve natural numbers os 1.5 times the square of the lesser number are 2 and 3.

The expression that of the statement that the two squares where the product of two consecutive natural integers is 1.5 times the square of the smaller number can be written  as

x(x+1)=(1.5)(x^2)

we can open the bracket

x^2 +x = 1.5x^2

then we can re arrange

0.5x^2 -x=0

then we can factorize

x(0.5x-1)=0

x=0 or 0.5x=1

x=0 or x=2

Therefore, The number can be 0 and 1 or 2 and 3

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Answer:

[tex]\huge\boxed{\sf Length = 13, \ \ Width = 7}[/tex]

Step-by-step explanation:

Let the length of rectangle be x and width be y.

x = 2y - 1 --------------(1)

2x + 2y = 40

2(x + y) = 40

x + y = 40/2

x + y = 20 -----------(2)

2y - 1 + y = 20

2y + y - 1 = 20

3y - 1 = 20

3y = 20 + 1

3y = 21

y = 21/3

x = 2(7) - 1

x = 14 - 1

So,

[tex]\rule[225]{225}{2}[/tex]

The statements that are true based on the following given information is  F ⊂ D (E ∩ F) is the empty set.

You should understand that a set is the collection of different items or numbers to form a group.

The given parameters that will help us to understand what a set is is given below

The elements of these sets are given as follows

D= {1,2,3,4,5,6,7,8,9, ...}

E= {4,9,16,25}

F= {20,22,24,26,28,30)

D ∪ E = {1,2,3,4,5,,,,,9......16....25...) ≠ E

Also

E∪(D∩F) =

First find (D∩F) =

(D∩F) =  but E∪(D∩F) = Ф

Also, F ⊂ D (E ∩ F)

E∩F = Ф and F⊄E

Therefore it is an empty set

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