Which of the following proves these triangles are congruent?​

Answer:

78.54

Step-by-step explanation:

Use this equation when trying to find the area of a circle using diameter:              [tex]A=\frac{1}{4}\pi d^{2}[/tex]

[tex]A= \frac{1}{4} * 3.14 * 10^{2}[/tex]

A=78.54

Answer:

[tex] \sf \: -7(5d + 2) [/tex]

Step-by-step explanation:

Now we have to,

→ find the equivalent expression.

The expression is,

→ -14 - 35d

Let's solve the problem,

→ -14 - 35d

→ -7(2) - 7(5d)

→ -7(2 + 5d)

→ -7(5d + 2)

Hence, answer is -7(5d + 2).

The greatest common factor of 16 and 24 is 2×2×2

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Given that, The prime factorizations of 16 and 24 are shown below.

Prime factorization of 16: 2, 2, 2, 2

Prime factorization of 24: 2, 2, 2, 3

Now, choosing the common factors = 2, 2, 2

Therefore, the GCF = 2, 2, 2

Hence, The GCF of 16 and 24 is 2, 2, 2

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Numerical descriptor of a particular group of interest is called population parameter.

A population parameter is a fixed quantity or statistical measure that is plugged into a generic distribution or frequency function to characterize a specific population. A population parameter is a constant but unknowable feature that characterizes the distribution of all values over an entire population.

Common population parameters include the mean, variance, shape and scale parameters for gamma and exponential distributions, the median, the mode, etc. Population parameters also aid in drawing conclusions regarding the shape of the curves, such as how distributed or peaked the data is or where the majority of the data is concentrated.

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Answer:

3.75 cm

Step-by-step explanation:

We know

1.2 cm = 6.4 km

Point A to Point B = 20 km

To find it, we take

20 divided by 6.4 then times 1.2 = 3.75 cm

So, 20 km is 3.75 cm far on the map.

The age of the fossil is calculated as; 19188 years

We are given the parameters as;

Half life (T_¹/₂) = 5730 years

The ratio between a fossil to a living sample; N/N₀  = 10% = 0.1

t = ?

Let us find the disintegration constant from the formula;

T_¹/₂ = In 2/λ

where λ is radioactive decay constant.

λ = In 2/T_¹/₂

λ = 0.693/5730

λ = 0.00012

Now, the decay formula here is;

N/N₀ = e^(-λt)

Thus;

0.1 = e^(-0.00012t)

-0.00012t = In 0.1

-0.00012t = -2.302585

t = -2.302585/-0.00012

t = 19188 years

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Please see the attachment below for the answer and work. Hope this helps and you can read my handwriting.

The equation is represented as 6 + c/7 = 9 where c is the unknown number and the value of c = 21

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number be represented as c

A = Six more than the quotient of a number and 7 is equal to 9

Substituting the values in the equation , we get

6 + ( c / 7 ) = 9   be equation (1)

On simplifying the equation , we get

6 + c/7 = 9

Subtracting 6 on both sides of the equation , we get

c/7 = 9 - 6

c/7 = 3

Multiply bu 7 on both sides of the equation , we get

c = 21

Therefore , the value of c is 21

Hence , the equation is 6 + c/7 = 9 and c = 21

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Answer 65^2+21^2

=4666

now take the sqrt of that and you get 68.30

Step-by-step explanation:

i hope this helps

Fractions are a part of mathematics that involve comparing two or more values. In grade 4, students learn to identify, name, and write fractions, as well as compare, add, subtract, multiply, and divide fractions.

In grade 4, students learn more detailed concepts related to fractions. They will learn to identify, name, and write fractions, as well as compare, add, subtract, multiply, and divide fractions. They will also learn to convert fractions to decimals and percents, as well as solve real-world problems involving fractions. They will gain a better understanding of how fractions are used in everyday life and how to use them to solve problems. Through hands-on activities, students will gain a greater understanding of fractions, and how to use them to solve problems.

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Students learn more intricate fractional concepts in grade 4. They will gain knowledge of how to recognize, label, and write fractions as well as how to compare, combine, subtract, multiply, and divide them.

Comparing two or more numbers is a component of fractions in mathematics. In addition to learning how to compare, add, subtract, multiply, and divide fractions, fourth graders also learn how to name, recognize, and write fractions.

Additionally, they will learn how to solve fractional problems in the real world and convert fractions to decimals and percents. They will have a greater understanding of fraction usage in daily life and how to apply it to problem-solving. Students will learn more about fractions and how to apply them to solve issues through practical exercises.

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Answer:

They never break even.

Step-by-step explanation:

Number of days: x

Expenses for x days:

Fixed cost: $5000

Cost per day: $200

Cost for x days: 200x

Income for x days:

12 × $15 × x = 180x

Number of days: x

Total expenses = Total income

200x + 5000 = 180x

Just the daily expense of $200 on food and utilities is greater than the daily income of $180. Then there is the additional initial expense of $5,000, so they will never break even. They start by having an expense of $5,000, and each day they spend $20 more than they receive.

Answer:  it is 1,000,000

0.8 billion of photos on the site are selfies. if 4%, percent were "selfies," photos of oneself

This problem can be solved by a simple rule of three.

A study of 120,000 randomly selected photos posted to a social media site determined that 4% were "selfies," photos of oneself. This means that for 1 photo, 0.04 are selfies.

There are 20 billion photos, how many billions of photos on the site are selfies?

1 - 0.04

20 - x

x= 20*0.04

x=0.8

0.8 billion of photos on the site are selfies. if 4%, percent were "selfies," photos of oneself

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The offered statement states that a rectangle's basic shape has a 45-square-foot area.

An example of a quadrilateral with equal and parallel opposite sides is a rectangle. It is a polygon with four sides and four angles that are each 90 degrees. A parallelogram is a polygon with only two dimensions. To be a square, a rectangle's sides must all have the same length, hence not all rectangles are squares.

Area of rectangle = Length (L) * Width (W)

Area of rectangle = [tex]\sqrt{15*9*5*3}[/tex]

= [tex]\sqrt{3*5*3*3*5*3}[/tex]

= 3*5*3

= 45

Consequently, the area of a rectangle in its most basic form is 45.

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The x and y-intercept of the line are 5 and 2 . The standard form of the line is 2x + 5y = 10 .

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis. In other words, the x -intercept is the value of x when y equals zero and the y-intercept is the value of y when x = 0.

Hence,

The x-intercept of the graph is 5 and the y-intercept is 2.

Therefore, let's represent the line in standard form as follows;

Equation in standard form is as follows:

Ax + By = C

where

Hence,

Using slope intercept form,

y = mx + b

where

Using (5, 0)(0, 2)

m = 2 - 0 / 0 - 5

m = -  2 / 5

Therefore,

y = - 2 / 5 x + 2

2 / 5 x + y = 2

Therefore, the standard form is as follows:

2x + 5y = 10

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1. The thing that can be said about determining causation between two factors from a business standpoint, when you have a well-thought-out dataset is D. If you have a well-thought-out dataset, a causal factor will appear in the data

2. The first thing you must do before evaluating the new software is C. Define how "success" is to be measured.

A well-thought-out dataset is one that has been collected in a rigorous and controlled manner, such that it can be used to support causal inferences. A key aspect of identifying causation is the ability to demonstrate that a change in one factor (the independent variable) leads to a change in another factor (the dependent variable), while holding all other factors constant.

This is often achieved through experimental design, such as a randomized controlled trial, where individuals or groups are randomly assigned to different conditions or treatments, and the effects of these conditions or treatments are measured

Before evaluating any new software, it's important to have a clear understanding of what success means in the context of the software and how it will be measured. This will allow you to determine whether or not the software is actually achieving the desired outcome and make any necessary adjustments. Once you have defined how success will be measured, you can then define other key terms such as "sales conversion" and "sale" in relation to that measurement.

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The group of ordered pairs that represents the linear relationship shown in the graph is (6, 2), (0, -2), (-3, -4).

Linear relationship is a type of relationship between two variables in which one variable is directly proportional to the other. In other words, one variable increases or decreases in a linear fashion as the other one increases or decreases, respectively. A linear relationship is commonly depicted graphically in a line graph, where the rate of change is constant. Linear relationships are used in many areas of science, including economics, psychology, and physics.

This can be seen by plotting each point on the graph and connecting them with a straight line. The line passes through the points

(6, 2), (0, -2), and (-3, -4),

confirming that this group of ordered pairs is the correct answer.

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As the snowplow moves finishing all 234 m long road, it turns 39 times, using this information, the diameter of the tire of the snowplower is 1.9098m.

Taking a tire in 2Dimensions for ease of calculations, the tire appears to be a circle, hence the circumference of the tire is given by the formula pi * d, where pi = 1.34 and d is the diameter of the circle or tire.

The circumference of a circle and the area of a circle are related through the mathematical constant pi (π). The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. The formula for the area of a circle is A = πr^2. As we can see, both formulas involve pi (π) and the radius of the circle. The relationship between the two is that the circumference of a circle is directly proportional to the radius and the area of a circle is directly proportional to the square of the radius.

As per the given condition in the question,

Length of the road = 234 m

number of turns taken by the snowplow(n) = 39

diameter(d) of the tire = ?

As the tire rolls through all the distance of 234 m, we can use the relation,

length of the road = n * circumference of the tire

or , 234 = 39 * pi * d

hence, d = 1.9098 m

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The volume of the hemisphere which has radius 10m is , 212.2 m³

In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within a closed region of every three dimensional object.

Volume of sphere = 4/3πr³

Given that,

the radius of hemisphere is 10 m

Volume of hemi-sphere = 2/3πr³

Volume of hemi-sphere = 2/3π10³

Volume of hemi-sphere = 2000/3π

Volume of hemi-sphere = 212.2

So, the volume is  212.2 m³

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The number of hours taken by the other pump to fill it by itself will be 9.13 hours.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The pool is being filled by two pumps. If one person can complete it in 30 hours by themselves, and two people can fill it in 7 hours.

Then the number of hours taken by the other pump to fill it by itself will be given as,

1 / x + 1 / 30 = 1 / 7

1 / x = 1 / 7 - 1 / 30

1 / x = 23/210

x = 9.13 hours

The number of hours taken by the other pump to fill it by itself will be 9.13 hours.

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Correlation without causation, reverse expectations, and reverse causality.

1. Correlation Without Causation: Correlation between two variables does not always mean that one is the cause of the other. This means that two variables can be associated with each other, but one may not be causing the other.

2. Reverse Expectations: This is when the observed relationship between two variables is the opposite of what is expected. For example, if it is expected that an increase in one variable will lead to an increase in the other, but the observed relationship is that an increase in one leads to a decrease in the other.

3. Reverse Causality: This is when the expected cause and effect relationship between two variables is reversed. For example, if it is expected that an increase in one variable will lead to an increase in the other, but the observed relationship is that an increase in the other leads to an increase in the first.

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As calculated from the given data Jane's calorie intake is 1200 per day.

From the details given in the question we can say that Jane doesn't likes milk. Hence, she lacks dairy fat  in her food. As per the given case she likes vegetables and eats fruit a lot. Therefore, and the grams of total caloric intake for her should be 1200 calories per day.

She does, however, lack fats from dairy products like milk. A child of 8 years old is thought to need at least 2 cups of milk or its equivalent each day. Jane is getting enough carbohydrates because she consumes 225 gram per day as opposed to the recommended 130 gram.

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Answer:

(-1/5)>=(-2/7)×x

by dividing both sides by (-2/7)

(-1/5)÷(-2/7)<=x

Simplify the inequality

7/10<=x so x>=0.7 so x belongs to the interval [7,inf)

Answer:

5-60x

12x

Step-by-step explanation:

= 3/4x-1 - 1/3x-4

= 3/4x - 5 - 1/3x

= 9-60x-4

12x

= 5 - 60x

12x

We will use the first principle of differentiation, to prove the function.

y = f(x) with respect to its variable x. If this limit exists and is finite, then we say that: Wherever the limit exists is defined to be the derivative of f at x.

Given function cosec x

d(cscx)dx = d(1/sinx)dx

= limh→0 1/sin(x+h)-1/sinx / (x+h)-x

= limh→0 sinx - sin(x + h)/sinxsin(x + h) /h

= limh→0 sinx - sin(x + h) / h sinx sin(x + h)

= limh→0 -(sin(x + h) - sinx)/h sinx sin(x + h)

= limh→0 - (sin(x + h) - sinx)h × 1/limh→0 sinx sin(x + h)

= -cosx × 1/sin2x

= -cosx/sinx × 1/sinx

= -cotx cscx

Therefore, proved the derivative of cosec x to be -cot x cosec x using the first principle of differentiation.

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According to the information, it can be inferred that the total content of the box is 45 bandages in a ratio of 3:5.

To identify the correct option we must take into account the proportion of bandages of each type that are in the box. Based on this information, we must identify a number in which the proportion of bandages is maintained. Based on the above, the correct answer would be 45, since this number can maintain the proportion of the bandages as shown below.

Additionally, the other answer options are not correct because the proportion of bandages of different types is not maintained.

Note: This question is incomplete because there is some information missing. Here is the complete information:

Options:

A.25

B.30

c.45

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Step-by-step explanation:

set x as right graph

tan x degree =22/34

x degree =arc tan 22/34

32.91 degree

√22^2+34^2

√1640

40.50miles

so it's current position is 32.91 degree north by west 40.50 miles

Answer:

12 and 18. for the square inches.

Step-by-step explanation:

sorry if you get it wrong. im half asleep rn. but its cause it goes they are factors of 3. 3, 6 ,9, etc.

Graph D (A) is the correct graph that shows the solutions for the linear inequality y≤¹x-3.

A linear inequality is an equation that contains a variable, such as x, and is written in the form ax + b < c, where a, b, and c are constants. Linear inequalities are used to describe a range of values that satisfy a given condition. They are used in many areas of mathematics, including graphing, solving equations, and finding the maximum or minimum of a function. Linear inequalities are also used in economics, engineering, and other sciences.

This can be seen by the fact that the graph is a straight line going from the bottom left to the top right, and the line is below the x-axis at the point (3, 0). This means that all points on the line or below it are part of the solution set. The other graphs, B, C and D, are not accurate solutions for the linear inequality.

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