A cylinder has a radius of 10 m and a height of 8 m. what is the exact volume of the cylinder? responses 18π m³ 18 pi, m³ 80π m³ 80 pi, m³ 160π m³ 160 pi, m³ 800π m³

Answer:

AC=9CM

Step-by-step explanation:

Since ABCD is a kite, we know that the two diagonals, AC and BD, intersect at right angles and that the two pairs of adjacent sides are congruent. Therefore, we have:

AC = BD and AB = BC = CD = DA

We also know that DE = EB, which means that triangle ADE is congruent to triangle BEC (by the side-side-side congruence rule), so we have:

AD = BC and AE = EC

AD=5cm and DC=4cm

Combining these equations, we have:

AC = AD + DC

AC=5cm+4cm=9cm

Answer:

it will have one real solution

Step-by-step explanation:

In the model above, the 8 that the arrow points to is 1/10 times the 8 to the left of the arrow and 10 times the 8 to the right of the arrow.

In Mathematics, a place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:

Generally speaking, the place value of the 8 that the arrow points to is tens and as such, we have the following:

8 = 80 × 1/10

8 = 0.8 × 10

Read more on place value here: brainly.com/question/569339

#SPJ1

From the following sets of ordered pairs, line c, (3, 6) and (5, 1), has a negative slope.

To determine the slope of a line given two points, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

If the slope is negative, it means the line is decreasing as we move from left to right, or in other words, it has a negative slope.

Let's apply the formula to each set of ordered pairs:

A. slope = (1 - 5) / (0 - 5) = -4 / -5 = 4/5 (positive slope)

B. slope = (-1 - 3) / (-4 - 2) = -4 / -6 = 2/3 (positive slope)

C. slope = (1 - 6) / (5 - 3) = -5 / 2. (negative slope)

D. This set has only one point (2, 3) and is therefore not sufficient to define a line.

Therefore, only option C has a negative slope. Option B has a positive slope. Option A has a positive slope. Option D is not sufficient to define a line.

To know more about slope

https://brainly.com/question/19131126

#SPJ4

The length of each side of the octagon with area of 392 square centimeters and an apothem of 14 centimeters is  7  centimeters .

Compared to lower sided shapes, an octagon's area is a little more complicated. A normal octagon's area is equal to 4 as. Where "s" stands for the octagonal side and "a" for the apothem, which runs straight from the pentagon's center to one of its sides.

The formula for the area of a regular octagon is:

A = 4 × apothem × side

Using this formula and the given values, we can solve for the length of each side of the octagon:

392 = 4 × 14 × side

Dividing both sides by 4 × 14, we get:

side = 392 ÷ (4 × 14)

Simplifying the right-hand side, we get:

side = 392 ÷ 56 = 7 cm.

Therefore, the length of each side of the octagon is  7 cm .

Learn more about octagon, visit:

https://brainly.com/question/28973738

#SPJ1

Note that:

The vertical angles are given as follows:

∠CFB vs ∠AFD

∠CFA vs ∠DFB

The complimentary pair of angles is :

∠CFE vs ∠EFA.

Complementary angles are a pair of two angles whose sum equals 90 degrees. In other words, when two angles are complementary, one angle is said to be the complement of the other.

For example, if angle A and angle B are complementary, then A + B = 90 degrees.

Learn more aobut Vertical Angles:
https://brainly.com/question/25855517
#SPJ1

Full Question:

See the attached

Answer:

28.346

Step-by-step explanation:

divide the length value by 2.54

The ingredients for the snack mix recipe will cost $3.05

Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.

To find the cost of the ingredients for the snack mix recipe, we need to first calculate the cost per pound of each ingredient, and then multiply that by the amount required in the recipe.

The owner pays $3.40 for 2 pounds of chocolate chips:

cost per pound = $3.40 ÷ 2 = $1.70

The owner pays $1.80 for 4 pounds of raisins:

cost per pound = $1.80 ÷ 4 = $0.45

Now we can use these costs to find the total cost of the ingredients for the recipe:

1 pound of chocolate chips = $1.70

3 pounds of raisins = 3 × $0.45 = $1.35

Total cost of the ingredients = $1.70 + $1.35 = $3.05

Learn more about word problems on:

brainly.com/question/13818690

#SPJ1

The area of the segment is 28.92 unit square

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

Angle, θ = 50 degrees

Radius, r = 15 units

Using the above as a guide, we have the following:

Area of a segment =  (½) × r² × [(π/180)(θ – sin(θ)]

Substitute the known values in the above equation, so, we have the following representation

Area of a segment =  (½) × 15² × [(π/180)(15 – sin(15 degrees)]

Evaluate

Area of a segment =  28.92

Hence, the area is 28.92

Read more about area at

https://brainly.com/question/22972014

#SPJ1

The two longest ribbons that were cut from the spool measure a combined 132 inches in length.

A combination of variables, constants, and mathematical operations like addition, subtraction, multiplication, and division make up an algebraic expression in mathematics. Mathematical, scientific, engineering, and engineering problems are represented and solved using algebraic expressions.

One or more variables, which represent unknowable or varying quantities, and one or more constants, which represent fixed values, can both be present in an algebraic expression. Typically, the variables are represented by letters like x, y, or z. The symbols +, -, x, and y, respectively, stand in for addition, subtraction, multiplication, and division. Additionally, terms are grouped and the order of operations are indicated by using parentheses.

For instance, the mathematical formula 3x + 2y - 5 combines the two variables x and y with the three constants 3, 2, and 5. While -5 is a constant term, the terms 3x and 2y are the variables multiplied by their coefficients.

By combining like terms, or terms with the same variable raised to the same power, algebraic expressions can be made simpler. For instance, the terms 3x and 4x, as well as 2y and -3y, are like terms in the expression 3x + 2y - 5 + 4x - 3y. These terms combined result in the abbreviated expression 7x - y - 5.

Mathematical operations like solving equations, graphing functions, and evaluating formulas all use algebraic expressions. Additionally, they are used in practical applications like figuring out interest rates, resolving optimization issues, and simulating natural phenomena.

The two longest ribbons cut from the spool are those with lengths of 63 and 69, according to the provided stem-and-leaf plot. Their total is therefore:

63 + 69 = 132

So, the total length of the 2 longest ribbons cut from the spool is 132 inches.

To know more about length visit:

brainly.com/question/2497593

#SPJ1

He also added lettuce, tomatoes, and cheese. Kenneth also made sure to put plenty of condiments like mayonnaise and mustard on each sandwich.

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.


Kenneth's family was excited to get to the beach. When they arrived, they set up their umbrellas and beach chairs and found a spot to settle down. After they were all settled, Kenneth passed out the sandwiches he had made. Everyone was satisfied with the delicious sandwiches Kenneth had created.

Kenneth's family enjoyed their day at the beach. They swam in the ocean, built sandcastles, and played volleyball. They even laid out and got a nice tan. As the day got hotter, Kenneth's family got hungrier. Fortunately, they still had the sandwiches Kenneth had made. Everyone was thankful for the delicious sandwiches that Kenneth had prepared for them.

After a fun day at the beach, Kenneth's family packed up their things and headed home. Kenneth was happy that he could provide for his family and make their day even better. He was grateful for the opportunity to make the sandwiches for his family and make their day at the beach even more enjoyable.

To know more about number click-
https://brainly.com/question/24644930
#SPJ1

Answer:

To simplify 5x(12+7) using distributive property, we can distribute the 5x to each term inside the parentheses, which means multiplying 5x by 12 and by 7, and then adding the two resulting products. This is because the distributive property states that:

Step-by-step explanation:

= 95

The distributive property states that for any real numbers a, b, and c,

a × (b + c) = a × b + a × c.

5x(12+7) using distributive property

5x(12) + 5x(7)

60 + 35

95

To know more about the distributive property visit:

brainly.com/question/30804302

brainly.com/question/29667212

Answer:

0.5735764

Step-by-step explanation:

sin(55°) = √(1-cos²(55°))

Answer:

The answer is 0.5735764

Step-by-step explanation:

sin(55°) = √(1-cos²(55°)

Hope this helped! Have a GOOD DAY!

The equation y = -5x - 1 is steeper than the equation y = -2x - 7.

In mathematics, the relative slope or rate of change of two lines or curves is referred to as "steeper." If one line or curve's slope or rate of change is larger than another, it is said to be steeper than the other.

To compare the steepness of two linear equations, we can look at their slopes, which represent the rate of change of the dependent variable (y) with respect to the independent variable (x). The slope of a line is given by the coefficient of x in the equation y = mx + b, where m is the slope.

Let's compare the slopes of the two equations:

y = -5x - 1: The coefficient of x is -5, so the slope is -5.

y = -2x - 7: The coefficient of x is -2, so the slope is -2.

Since the slope of the first equation (-5) is greater in magnitude than the slope of the second equation (-2), we can conclude that the first equation is steeper than the second equation.

Alternatively, we can look at the absolute values of the slopes. The absolute value of the slope of the first equation is 5, which is greater than the absolute value of the slope of the second equation, which is 2. This confirms that the first equation is steeper than the second equation.

Therefore, the equation y = -5x - 1 is steeper than the equation y = -2x - 7.

To know more about steeper, visit:

https://brainly.com/question/812175

#SPJ1

The cube root of 36 is a number between 3 and 3.5, and can be represented mathematically as ∛36.

Square roots are simply the opposite operation of squaring a number. For example, the square root of 9 is 3 because 3 x 3 = 9.

Similarly, the cube root is the opposite operation of cubing a number. The cube root of a number is the value that, when cubed, gives the original number. For instance, the cube root of 27 is 3 because 3 x 3 x 3 = 27.

Now, to answer your question, "What is 36 cube root?" - this can be written as ∛36 or as the cube root of 36. To find the cube root of 36, we need to find a number that, when cubed, gives 36.

We can start by using trial and error. We know that 2 x 2 x 2 = 8, which is less than 36. We also know that

=> 3 x 3 x 3 = 27, which is less than 36.

So, we can try a number between 3 and 4. Let's try 3.5.

If we cube 3.5, we get 42.875, which is greater than 36.

If we try a number lower than 3.5, we will get an even greater value. Therefore, the cube root of 36 is between 3 and 3.5.

We can use more precise methods to find the cube root of 36, such as using a calculator or estimating with decimal approximations. However, using trial and error is a simple and effective way to find an approximate answer.

To know more about cube root here

https://brainly.com/question/30038389

#SPJ4

The value of the original price is $185

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

Sales price = $222.00

Percent of markup = 20%​

The original price is calculated as

Original=  Sales Price/(1 + Markup)

Substitute the known values in the above equation, so, we have the following representation

Original = 222/(1 + 20%)

Evaluate

Original = 185

Hence, the original price is $185

Read more about markup at

brainly.com/question/19104371

#SPJ1

Complete question

Diane wants to buy a leather chair at 20% markup. The sale price is $222. What was the original price?

The solution to the system of equations is x = 5 and y = -2, or (5,-2) in coordinate form.

An equation is a mathematical statement that shows that two expressions are equal. It is usually written as an expression on the left-hand side (LHS) and an expression on the right-hand side (RHS) separated by an equal sign (=).

The expressions on both sides of the equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The variables in an equation represent unknown values that can vary, while the constants are fixed values that do not change.

Equations are used to represent mathematical relationships or describe real-world situations. They can be used to solve problems, make predictions, and test hypotheses.

To solve an equation, one must find the value of the variable that makes the LHS equal to the RHS. This is done by performing mathematical operations on both sides of the equation to isolate the variable. The goal is to get the variable by itself on one side of the equation, with a specific value on the other side.

Equations can be simple or complex, linear or nonlinear, and can involve one or more variables. Examples of equations include:

2x + 5 = 13

y = 3x^2 - 2x + 7

4a + 2b - 3c = 10

Equations are used in many areas of mathematics and science, including physics, chemistry, and engineering, among others.

Substitute the value of y in the second equation with the expression for y from the first equation:

2x + 3(4x-22) = 4

Simplify and solve for x:

2x + 12x - 66 = 4

14x = 70

x = 5

Substitute the value of x in the first equation to solve for y:

y = 4(5) - 22

y = -2

Therefore, the solution to the system of equations is x = 5 and y = -2, or (5,-2) in coordinate form.

To know more about coordinate visit:

https://brainly.com/question/30574507

#SPJ1

The Whole numbers in mathematics are represented in the form of {0 , 1 , 2 , 3 , 4 , ... } .

The Whole Numbers are defined as a set of positive integers, including zero, which do not have a fractional or decimal component.  

The set of whole numbers is denoted by the symbol "W", and it can be expressed as : W = {0, 1, 2, 3, 4, 5, 6, ...}

In other words, the set of whole numbers is the set that starts with 0 and includes all the positive integers which can be obtained by repeatedly adding 1 to the previous number .

The Whole numbers are used to represent the quantities that cannot be divided into smaller parts.

Learn more about Whole Numbers here

https://brainly.com/question/11127480

#SPJ4

Answer:

Hi! In order to determine how much money Aiden will have in his account after 8 months, let's figure out how much he deposits each month.

He started with $250. After one month, he had $586; after two months, he had $922; after three months, he had $1,258. Each month, there is a gain of $336.

Therefore, after four months, Aiden will have $1,594. After five months, he will have $1,930. After six months, he will have $2,266. After seven months, he will have $2,602. Finally, after eight months, he will have $2,938.

Hope this helps!

According to the Empirical Rule, approximately 68% of the data in a normal distribution will fall within ±1 standard deviation of the mean. The correct option is (d) 68%

The Empirical Rule is a statistical rule of thumb that describes the approximate proportions of data that fall within a certain number of standard deviations from the mean in a normal distribution.

The Empirical Rule states that for a normal distribution:

About 68% of the data will fall within 1 standard deviation of the mean

About 95% of the data will fall within 2 standard deviations of the mean

About 99.7% of the data will fall within 3 standard deviations of the mean

Therefore, option (b) 68 is the correct answer.

Learn more about Empirical Rule here

brainly.com/question/30404590

#SPJ4

The length of side CD is equal to 15 units.

Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;

P = 2(L + W) or P = 2L + 2W

Where:

Substituting the given parameters into the perimeter of a rectangle formula, we have the following expressions;

52 = 2(2x - 1 + 3x - 3)

52 = 2(5x - 4)

52 = 10x - 8

10x = 60

x = 6

For side CD, we have:

Side CD = 3x - 3

Side CD = 3(6) - 3

Side CD = 18 - 3

Side CD = 15 units.

Read more on perimeter of a rectangle here: brainly.com/question/17360327

#SPJ1

Answer:

CD = 11

Step-by-step explanation:

As the formula for the perimeter of a rectangle is P = 2L + 2W, we can say that:

52 = 2(2x - 1) + 2(3x - 3) (distribute)

52 = 4x -2 + 6x - 6 (combine like terms)

52 = 10x - 8 (add 8 to both sides)

60 = 10x (divide both sides by 10)

6 = x

Now, as side CD is opposite side AB, and we know these sides are equal, we can say that AB = CD, therefore:

2(6) - 1 = 12 - 1 = 11

Which means side CD = 11.

Answer:

there are 3 feet in one meter.

Step-by-step explanation:

12 inches = 1 foot.

39.3701 inches = 1 meter.

39.3701 ÷ 12 = 3.281.

3.281 is simplified to 3.

There are about 3 feet in 1 meter.

Hope this helped! Have a Good Day!

The side of the small square is equal to the length of the rectangles, which is 16cm.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.


We can calculate the area of the small square by using the formula A = side² where A is the area and side is the length of the side of the square. Thus, A = 16² = 256 cm².

Now, the area of the large square is equal to the area of the small square plus the area of the four rectangles. The area of each rectangle is equal to 16 x 4 = 64 cm² Thus, the total area of the large square is 256 + 4(64) = 512 cm²

To know more about area click-
https://brainly.com/question/28012687
#SPJ1

Answer:

a, d=90 degre

and b, b=90degree

A STEM (Science, Technology, Engineering, and Mathematics) degree is awarded to students who have completed a program of study that is at least one year beyond a bachelor’s degree.

STEM degrees cover a wide range of topics, including mathematics, computer science, engineering, and other sciences. These degrees can provide a strong foundation for a career in a variety of industries, including technology, healthcare, and education.

When pursuing a STEM degree, students must complete a set of specific courses that are related to their chosen major. These courses may include mathematics, physics, chemistry, biology, computer science, engineering, and other related subjects. Additionally, students must also complete a certain number of hours of lab and/or research experiences. Depending on the degree program, students may also be required to complete an internship, apprenticeship, or other work experience.

Learn more about STEM:

https://brainly.com/question/22025705

#SPJ4

The scale factor of the drawing is 5:36.The scale factor is the amount by which a shape is increased or shrunk.

Scale factor is the proportion of an original object's scale to a new one that is an representation of it that is a different size (bigger or smaller). For instance, by increasing each side by, say, 2, we can expand overall size of the a rectangle having lengths of 4 cm and 8 cm. The scale discrepancy between two things is contrasted by a scale factor, which is a ratio. You can figure out the scale factor by selecting two comparable or related components on the two items you are comparing. By comparing every one of these two elements, you may determine a ratio.

When we find the scale factor , we obtain:

5 inches = 1 yard

1 inches=[tex]\frac{1}{5}[/tex] yard.

actual , 1 inche = [tex]\frac{1}{36}[/tex] yard

Scale factor= [tex]\frac{\frac{1}{36} }{\frac{1}{5} }[/tex]= [tex]\frac{5}{36}[/tex].

To know more about scale factor visit:

https://brainly.com/question/30215119

#SPJ1

The only statement that is true about the translation is; ∠I ≅ ∠K.

Translation in transformation is defined as the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

Now, from the given triangle, mapping ∠H onto ∠J means they are to be equal and by default it also means if that is the case, then we can equally say that ∠I ≅ ∠K.

Read more about Translation in Transformation at; https://brainly.com/question/4289712

#SPJ1

Answer:

Domain: {-3, 5, 0, -1, -2, 1}

Range: {-6, -4, -2, 1, 3}

The relation is a function.

Step-by-step explanation:

The domain of this relation is the set of all x-values from the ordered pairs, which are:

Domain: {-3, 5, 0, -1, -2, 1}

The range of the relation is the set of all y-values from the ordered pairs, which are:

Range: {-6, -4, -2, 1, 3}

To determine if the relation is a function, we need to check if there are any repeated x-values with different y-values. If there are no such cases, then the relation is a function.

Looking at the domain and range, we can see that each x-value has only one corresponding y-value, so there are no repeated x-values with different y-values. Therefore, the relation is a function...

By using the data table, a ratio for each comparison in three different ways should be written as follows;

The ratio of O+ donors to B+ donors is 9:2.

The ratio of A- donors to B+ donors is 21:20.

The ratio of AB+ donors to total donors is 6:195.

In order to determine and write the ratio for each comparison, we would have to assign variables to the chosen blood group donors respectively:

From the information provided above, we have the following parameters:

O = 90 donors.

B = 20 donors.

Now, we can write the ratio as follows;

O:B = 90:20

Dividing by 10, we have the following ratio:

O:B = 9:2

ABN:ABP = 4:6

Dividing by 2, we have the following ratio:

ABN:ABP = 2:3

Read more on ratio here: brainly.com/question/27817533

#SPJ1

Answer: I'm no expert but i would have to say the median would decrease to 77 degrees

Step-by-step explanation: The median is not going to stay the same when you have a lot of high numbers and with a bunch of high numbers the median is going to be close to 77 degrees than to 65.2 degrees