What is the area of the trapezoid?

A trapezoid with 24 centimeters length and 10 centimeters height. One side of the trapezoid is 8 centimeters in length. CLEAR CHECK

120
120
cm2
2


128
128
cm2
2


160
160
cm2
2


240
240
cm2

Answers

Answer 1

The area of the trapezoid given is 160 cm².

What is the area of a trapezoid?

We can write the area of the trapezoid as -

A = {1/2} x {sum of parallel sides} x {distance between them}

A = {1/2} x {P₁ + P₂} x {h}

Given is that a trapezoid with 24 cm length and 10 cm height. One side of the trapezoid is 8 cm.

We can write the area of the trapezoid as -

A = {1/2} x {P₁ + P₂} x {h}

A = {1/2} x {24 + 8} x 10

A = 1/2 x 10 x 32

A = 160 cm²

Therefore, the area of the trapezoid given is 160 cm².

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Related Questions

How to convert grams into moles?

Answers

Answer:

use a calculator online

Step-by-step explanation:

Calculating the Molecular Mass

Gather the necessary tools for solving a chemistry problem. Having everything you need easily accessible will simplify the process of solving the assigned problem. You will need the following:

A pencil and paper. Calculations are easier to solve when you write them out. Be sure to show all your steps to get full credit.

A periodic table. You will need to be able to find atomic weight of elements using the periodic table.

A calculator. Calculators are necessary to simplify calculations of complex numbers.

Complete the two column proof ?

Answers

The required statements and reasons to complete the two column proof are explained below.

What are similar triangles?

When on  comparison the corresponding length of sides of two triangles have some common properties, then they are said to be similar. Though similarity does not imply congruency.

The complete two column proof is shown as thus:

      STATEMENT               REASON

1. FG/FH = KJ/KH              Given

2. <H ≅ <H                        Reflexive property

3. ΔFHK ~ ΔGHJ               Two pairs of corresponding sides are proportional

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Evaluate the following expression.
1+3²

Answers

The expression 1 + 3² can be evaluated as follows:

First, we calculate 3², which is equal to 9.

Then, we add 1 to 9, which gives us 10.

Therefore, 1 + 3² = 10.

Answer:

Step-by-step explanation:

1 +[tex]3^{2}[/tex]

= 1 + (3*3)

= 1 + 9

= 10

If a 1 = 10 a 1 ​ =10 and a n = 2 a n − 1 a n ​ =2a n−1 ​ then find the value of a 5 a 5 ​ .

Answers

Answer:

5n+32a=5

Step-by-step explanation:

.

A punch bowl contained 2 liters of ginger ale, 1 liter of raspberry juice

Answers

Answer:

You can drink it thank u for asking

What are the basic parts of a circle?

Answers

The basic parts of a circle are the circumference, diameter, radius, and center. The circumference is the outer boundary of the circle, and it is the distance around the circle.

The diameter is a line segment that passes through the center of the circle and connects two points on the circumference. The radius is a line segment that connects the center of the circle to a point on the circumference.

The center is the point in the middle of the circle, and it is equidistant from all points on the circumference. These four basic parts are essential to understanding the properties of circles, such as their area, circumference, and relationships between different parts.

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What is the income threshold for self-employed workers to file a return?

Answers

Answer:

$400 or more

Step-by-step explanation:

im pretty sure:)

Evaluate the expression. −8÷−4 CLEAR CHECK −2 −12 12 2

Answers

Evaluate the expression is -10.

How should examples of expressions be evaluated?

You must replace each variable with a number and carry out the arithmetic procedures to evaluate an algebraic expression. As 6 + 6 = 12, the variable x in the preceding example is equal to 6. We can replace our variables with their values if we know what they are, then evaluate the expression after doing so.

The division can be done as follows when assessing the phrase 8 4:

−8 ÷ −4 = 2

The expression is thus reduced to:

2 - 12

12 is subtracted from 2 to yield:

-10

Thus, -10 is the correct response.

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20% of 230 is what number?

Answers

Answer:

First, you need to calculate your grade in percentages. The total answers count 230 - it's 100%, so we to get a 1% value, divide 230 by 100 to get 2.30. Next, calculate the percentage of 20: divide 20 by 1% value (2.30), and you get 8.70% - it's your percentage grade.

Step-by-step explanation:

i think sooooo

Quadrilateral hgfj is a rhombus. gf=16 cm and m∠ghk=42°. what is jf and m∠kgh? enter your answers in the boxes.

Answers

The value of JF = 16 cm and m ∠KGH = 48° in quadrilateral HGFJ which is a rhombus.

What is a rhombus?

A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus. Rhombi or rhombuses are the plural forms of rhombus.

Quadrilateral HGFJ is a rhombus.

GF=16 cm and m∠GHK=42°.

The diagonals of the rhombus bisect each other at the right angle.

So,

m ∠KGH = 180 - 90 - 42

m ∠KGH = 48°.

And JF = GF = 16 cm.

m ∠KGH = 48°.

And JF = GF = 16 cm.

Hence, the value of JF = 16 cm and m ∠KGH = 48° in quadrilateral HGFJ which is a rhombus.

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Given f(2)=12, which of the following could be an equation of the function?
A. f(x)=8x-2
B. f(x)= 4x+4
C. f(x)= 6x-4
D. f(x)= -4x-4

Answers

Answer:

f(x) = 4x + 4

Step-by-step explanation:

See picture below :)

what is inverse tangent derivative?

Answers

Answer:

(tan-1x)' = 1/(1 + x2)

Step-by-step explanation:

The differentiation of tan inverse x is the process of finding the derivative of tan inverse x with respect to x.

What is the conversion of 5m in feet?

Answers

5 meters is equal to 16.4042 feet.

The metre to foot formula is a mathematical expression that converts length measurements from metres to feet.

Metre is the SI unit of measurement for both length and distance.

The meter is denoted by "m".

It is denoted by the letter "ft."

To convert 5 meters (m) to feet,

Multiply the given value meters by 3.28084,

As we know that,

One meter is nearly equal to 3.28084 feet.

Therefore,

5 meters multiplied by 3.28084 gives us:

5 meters x 3.28084 = 16.4042 feet

(rounded to four decimal places)

So, 5 meters is nearly equal to 16.4042 feet.

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Can someone solve 8 and 9??? (Will give brainliest!!!)

Answers

The amount of curry that would be needed is 1/2

Margerite would need 3 * 4 / 5 to make the batches of cookies

How to solve the fractions

8. If Harry is doubling the recipe and the recipe is originally said to be 2/8 of curry we would have

2 * 2/8

= 4/8

= 1/2

9. If one batch of chocolate chips is made with 4/5 cups of chips

In order to make 3 batches, Margerite would have to use 3 * 4 / 5

= 12 / 5

Option C is correct

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Using the table below, check which graphs are proportional and which graphs are not proportional..

Answers

Graphs - 9, 10, and 12 are classified as non-proportional graphs and Graph 11 will be a Proportional graph.

Proportional and non-proportional graphs:  

A proportional graph is a graph that represents a proportional relationship between two variables. In other words, as one variable increases, the other variable also increases, and the relationship between the two variables can be expressed as a constant ratio or proportion.  

In a proportional graph, the plotted points will lie on a straight line that passes through the origin (0,0).  

Here we have

4 types of graphs  

Where

Graph - 9 is a curve and doesn't pass through the origin

Graph - 10 is a straight line and doesn't pass through the origin  

Graph - 11 is a straight line and passes through the origin

Graph - 12 is  a straight line and doesn't pass through the origin    

As we know

A proportional graph should pass through the origin and it should be a straight line.

Therefore,

Graphs - 9, 10, and 12 are classified as non-proportional graphs and Graph 11 will be a Proportional graph.

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20. Find the length of BC in the figure below.
A- 12
BC ?
E - 16
D - 8

Answers

Answer:

Step-by-step explanation:

First, we split the triangles into two

Δ ADC and ΔAEB

Then we look for similar things

First, both triangles have ∠A which makes the angles equal

Then we can see that side BE is // to line CD

That makes ∠D =∠E and ∠B = ∠C

Now we can have a ratio of the sides

AE/AD = AB/AC = EB/DC

AB/AC = AE/AD

12/12 + x = 16/24

Cross multiply

12 × 3 = 2 (12 + x)

36 = 24 + 2x

36 - 24 = 2x

12 = 2x

x = 6

BC = 6cm

how to convert 33 inches to feet?

Answers

As per the conversion factor, 33 inches is equivalent to 2.75 feet.

When we want to convert one unit to another, we use conversion factors to do so. A conversion factor is a ratio that represents the relationship between two units of measurement. In this case, we want to convert inches to feet.

To convert inches to feet, we need to use the conversion factor of 1 foot equals 12 inches. This means that for every 12 inches, we have 1 foot. To convert 33 inches to feet, we divide 33 by 12.

33 inches ÷ 12 inches/foot = 2.75 feet

To summarize, we used the conversion factor of 1 foot equals 12 inches to convert 33 inches to feet. We divided 33 by 12 to get the equivalent value in feet, which is 2.75. Always remember to use the appropriate conversion factor when converting units to avoid mistakes.

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divide $25 for 2 people in the ratio 2:3​

Answers

10 and 15

add 2 and 3 together then divide 25 by that and then multiply that number by 2 and 3 to find both of the answers

What is variance in statistics?

Answers

Variance in statistics is the squared difference between a random variable's expected value and its mean value.

Data points' variance from the mean is a measure of how they vary. A variance, according to Layman, is a measurement of how widely apart a set of data (numbers) are from their mean (average) value.

Finding the expected difference of deviation from the actual number is what is meant by variance. As a result, variance is influenced by the data set's standard deviation.

Data is more dispersed from its mean the higher the variance value, and less dispersed from mean if the variance value is low or minimal. As a result, it is referred to as a measure of data spread from mean.

[tex]Var(X) = E[(X-\mu)^2][/tex]  

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Hey this is for arc length and the question says to assume all possible diameters are actual diameters

Answers

The length of arc FGE is given as follows:

230º.

What does the angle addition postulate state?

The angle addition postulate states that if two angles share a common vertex and a common angle, forming a combination, the larger angle will be given by the sum of the smaller angles.

The entire circumference has an angle measure of 360º, while the arc EH has an angle measure of 130º, hence the length of arc FGE is obtained as follows:

x + 130 = 360

x = 360 - 130

x = 230º.

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How do you write an equation of a line so that it is parallel or perpendicular to a given line through a given point?

Answers

Answer:

The slope of a parallel line are equal,and the slope of perpendicular line are opposite reciprocals

Number 6 letter c, d, e

Answers

c) The experimental probability that you flip 3 heads is,

d) The experimental probability that you flip 3 tails is,

e) There are 12 times to flip 3 tails out of 200 trials of flipping 3 coins.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Given that;

You flip 3 coins 50 times.

And, Flipping 3 tails occurs 6 times and flipping 3 heads occurs 7 times.

Hence, The experimental probability that you flip 3 heads is,

⇒ 7 / 50

And, The experimental probability that you flip 3 tails is,

⇒ 6 / 50

And, Number of times to flip 3 tails out of 200 trials of flipping 3 coins is, x

Hence, We can formulate;

x = 3/25 × 200

x = 3 × 4

x = 12

Thus, There are 12 times to flip 3 tails out of 200 trials of flipping 3 coins.

Therefore, we get;

c) The experimental probability that you flip 3 heads is,

d) The experimental probability that you flip 3 tails is,

e) There are 12 times to flip 3 tails out of 200 trials of flipping 3 coins.

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JH is the geometric mean of which two segments?

Answers

Answer:

J is 90° while H is 180°

What is the conversion of 1500 meters in miles ?

Answers

To convert meter into miles we simply have to divide meter by 1609.34 so we have 1500 m as 0.9321 miles.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

The SI base unit of length is the metre (or metre; US spelling), which is denoted by the letter m.

first described in 1793 as a ten millionth of the distance between the equator and the North Pole, but was later redefined in 1799 to refer to a prototype metre bar (this bar was changed again in 1889).

The imperial unit system uses the symbol mi to designate the mile as a unit of length.

Although it was initially an English unit, it was adopted by numerous nations, each of which had a somewhat different definition. However, the English mile is 63,360 inches, 5280 feet, or 1760 yards.

Miles = meter x 0.000621

= 1500 x 0.000621

= 0.9321 miles

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2. Which number is an irrational number?
A √121
B √150
C√400
D√1,000,000

Answers

An irrational number of the numbers are,

⇒ √150

What is Rational number?

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

All the numbers are,

A) √121

B) √150

C) √400

D) √1,000,000

Now, We can simplify as;

A) √121 = 11

Hence, It is a rational number.

B) √150 = 12.2474..

Hence, It is a irrational number.

C) √400 = 20

Hence, It is a rational number.

D) √1,000,000 = 1,000

Hence, It is a rational number.

Thus, An irrational number of the numbers are,

⇒ √150

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Help with attached problem (algebra 1, functions)

Answers

The values of the function g⁻¹(2) is  {(12, 0), (14, -4), (-4, -14), (-18, 18)}, h⁻¹(x) is  11x / (x + 14) and (h o h⁻¹)(2) is 235 / 176

What is a function

In mathematics, a function is a relation between a set of inputs, called the domain, and a set of outputs, called the range, such that each input is associated with exactly one output.

More formally, a function f from a set A to a set B is a rule or correspondence that assigns to each element x in the set A exactly one element y in the set B. The set A is called the domain of the function, and the set B is called the range or codomain. The output y is called the image of x under the function f, and is often denoted as f(x).

From the question;

g = {(0, 6), (2, -7), (7, 2), (9, -9)}

h(x) = (x + 14) / 11

g⁻¹(2) = {(12, 0), (14, -4), (-4, -14), (-18, 18)}

h⁻¹(x) = 11x / (x + 14)

(h o h⁻¹)(2) = 235 / 176

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what is the 95 % conversion in decimal ?

Answers

The 95 % conversion in decimal is 0.95.

To convert a percentage to a decimal, you divide the percentage by 100.

Therefore, to convert 95% to a decimal, you divide 95 by 100:

95 ÷ 100 = 0.95

So, 95% as a decimal is 0.95.

A percentage is a fraction expressed as a fraction of 100 in mathematics. It is frequently used to express percentages, rates, or frequencies in terms of 100. For example, if 95 out of 100 people agree on something, we can express this as a 95% probability.

To convert a percentage to a decimal, simply divide it by 100. The outcome is a number between 0 and 1, with 1 representing the entire (or 100%). In the case of 95%, dividing by 100 yields 0.95 as the decimal equivalent.

Simply multiply a decimal by 100 to convert it to a percentage. To convert 0.95 to a percentage, multiply it by 100 to get:

0.95 x 100 = 95%

As a result, percentages and decimals are two different ways of representing the same value. While percentages are frequently used to express proportions or rates, decimals are frequently used in mathematical computations or scientific notation.

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how to convert 159 lbs to kg?

Answers

On converting 159 lbs to Kg , we get 159 pounds is equivalent to 72.1211 Kilogram .

The various units that are used to measure the weight of an object , some of them are : Kilogram (Kg) , Pounds (lb) , Gram (gm) .

We have to convert 159 lbs to Kilogram ;

We know that , 1 pound is equal to 0.453592 Kg ;

So , the conversion factor is 0.45359237 kg per pound.

For the conversion , we multiply the given weight by this conversion factor ,

We get ;

⇒ 159 lbs × 0.45359237 kg/lb = 72.1211 Kg ;

Therefore, 159 pounds is equal to 72.1211 Kilograms .

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Once Triangle Similarity is established, which of the following corresponding parts are also established?

Answers

The corresponding parts are as follows;

Angle ATS = Angle ABC

side AS = side AC

Angle SAT = Angle CAB

Angle AST = Angle ACB

Side AT = Side AB

What is SAS similarity theorem?

ΔABC ~  ΔDEF  only if ratio of two sides of ΔABC and corresponding two sides of ΔDEF is equal and the angle included in both sides are congruent.

Suppose the two sides of ΔABC are AB and BC, and that of DEF be DE and EF.

For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.

We are given the similar triangles as;

ΔACB =  ΔAST

Angle ATS = Angle ABC

side AS = side AC

Angle SAT = Angle CAB

Angle AST = Angle ACB

Side AT = Side AB

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what is perpendicular line calculator online

Answers

A perpendicular line calculator online is a tool used to find the equation of a line that is perpendicular to a given line and passes through a given point.

A perpendicular line calculator online is a math tool used to find the equation of a line that is perpendicular to a given line and passes through a given point. To use this calculator, users input the slope and y-intercept of the given line, as well as the x- and y-coordinates of the given point.

The calculator then uses the formula for the slope of a perpendicular line to find the slope of the new line and calculates the y-intercept by plugging in the given point. This tool is useful in many applications, such as finding the equation of a perpendicular bisector, a perpendicular tangent line, or a perpendicular distance between two points.

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