A quantity x is a least 10 and at most 20.

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

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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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

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

The answer is: A. tan P= 3/4, tan Q=5/4

Trigonometric ratios are mathematical functions that relate the angles of a right triangle to the ratio of the lengths of its sides. There are three primary trigonometric ratios, known as sine, cosine, and tangent, and their reciprocal functions, known as cosecant, secant, and cotangent.

The primary trigonometric ratios are defined as follows:

Sine (sin): The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse of a right triangle.

sin θ = opposite/hypotenuse

Cosine (cos): The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse of a right triangle.

cos θ = adjacent/hypotenuse

Tangent (tan): The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle.

tan θ = opposite/adjacent

The reciprocal trigonometric ratios are defined as follows:

Cosecant (csc): The cosecant of an angle is the reciprocal of the sine of the angle.

csc θ = 1/sin θ

Secant (sec): The secant of an angle is the reciprocal of the cosine of the angle.

sec θ = 1/cos θ

Cotangent (cot): The cotangent of an angle is the reciprocal of the tangent of the angle.

cot θ = 1/tan θ

Trigonometric ratios are widely used in mathematics, science, and engineering to solve problems involving right triangles, as well as to model and analyze periodic phenomena such as sound waves, light waves, and electromagnetic waves.

Since angle R is a right angle, we can use the tangent ratio for angles P and Q as follows:

tan P = RP / RQ = 12 / 16 = 3 / 4

tan Q = PQ / RQ = 20 / 16 = 5 / 4

Therefore, the answer is: A. tan P= 3/4, tan Q=5/4

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

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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The length of arc FGE is given as follows:

230º.

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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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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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.

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.

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

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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The greatest percent change occurred in the first five-year period, between the first and second year, with a percent change of 60%.

Percentage is a number or ratio expressed as a fraction of 100.

We can calculate the percent change between two values using the following formula:

percent change = (new value - old value) / old value x 100%

To compare the percent change over a five-year period, we need to consider the percent change between each pair of values, as follows:

Percent change between the first and second year:

percent change = (320 - 200) / 200 x 100% = 60%

Percent change between the second and third year:

percent change = (400 - 320) / 320 x 100% = 25%

Therefore, the greatest percent change occurred in the first five-year period, between the first and second year, with a percent change of 60%.

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The value of JF = 16 cm and m ∠KGH = 48° in quadrilateral HGFJ which 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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Answer:

$400 or more

Step-by-step explanation:

im pretty sure:)

Answer:

f(x) = 4x + 4

Step-by-step explanation:

See picture below :)

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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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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An irrational number of the numbers are,

⇒ √150

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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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

Answer:

John went grocery shopping over the weekend and used algebra to find the best deals. He compared the unit price of similar products to determine which one was the most cost-effective. Later that day, John practiced basketball with his friends, and he used algebra to track his progress. He calculated his shooting percentage by dividing the number of shots he made by the total number of shots he attempted, giving him insight into how he was improving over time. Finally, John cooked dinner and used algebra to adjust the recipe. He needed to make a meal for eight people, but the recipe was only for four, so he had to double the quantities of ingredients while keeping the ratios the same. By using algebra, he was able to create a delicious meal that was the right size for his gathering.

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

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

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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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.

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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The constant acceleration equations are:

The position equation: x = x0 + v0t + 1/2at^2

The velocity equation: v = v0 + at

The acceleration equation: a = (v - v0)/t

Constant acceleration equations describe the motion of an object that is experiencing a constant acceleration. When an object experiences a constant acceleration, its velocity changes by the same amount in equal time intervals. The equations that describe this motion are as follows:

The position equation: x = x0 + v0t + 1/2at^2

where x is the position of the object at time t, x0 is the initial position of the object, v0 is the initial velocity of the object, a is the constant acceleration of the object, and t is the time elapsed.

The velocity equation: v = v0 + at

where v is the velocity of the object at time t, v0 is the initial velocity of the object, a is the constant acceleration of the object, and t is the time elapsed.

The acceleration equation: a = (v - v0)/t

where a is the constant acceleration of the object, v is the velocity of the object at time t, v0 is the initial velocity of the object, and t is the time elapsed.

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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

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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Evaluate the expression is -10.

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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Slice a cylinder so that the cross section is parallel to the bases. The cross section is rectangular in form.

A cylinder's cross-section, for instance, is a circle when it is cut parallel to the base. The cross-sectional area of this slice is therefore equal to the area of a circle whose radius is the same as the radius of the cylinder supplied.

The cross-section has a rectangular form. It is identical in size and form to the base. We will now cut it with a plane that is parallel to the base. Keep in mind that perpendicular lines cross the base at  ninety degrees.

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Cody's profit from selling 9 scarves at $25 each, after spending $34 on materials and paying a $10 fee to sell at the craft fair, was $181.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

To calculate Cody's profit using the expression np - (m + 10), we need to substitute the given values:

n = 9 (number of scarves sold)

p = $25 (price per scarf)

m = $34 (amount spent on materials)

Using these values, we can calculate Cody's profit as:

= np - (m + 10)

= (9 * 25) - (34 + 10)

= 225 - 44

= $181

Therefore, Cody's profit from selling 9 scarves at $25 each and spending $34 on materials is $181.

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Answer:

J is 90° while H is 180°

A option (c) marginal distribution summarizes the information from one variable ONLY, without considering ANY information from another variable.

A distribution is a mathematical function that shows the likelihood of different values occurring for a given variable.

Now, a marginal distribution summarizes the information from one variable ONLY, without considering ANY information from another variable. It shows the probability of each value occurring for that variable.

In mathematical terms, we can represent a marginal distribution as follows:

P(X = x) = ∑P(X = x, Y = y) for all possible values of y

Here, X is the variable we're interested in, and Y is the other variable that we're not considering. P(X = x) is the probability of X taking on the value x, and P(X = x, Y = y) is the joint probability of X taking on the value x and Y taking on the value y. The summation is taken over all possible values of y.

Therefore, option (c) is correct.

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