Amelia drove a total of 8.4 miles on her birthday.
What is miles?Miles are a unit of distance or length measurement. They are commonly used to measure the distance between two points on a map, or the length of a journey. The term 'mile' is derived from the Latin word for 'thousand', and is equal to 1.609 kilometers. Miles are a preferred unit of measurement in the United States, UK, Canada, and some other countries.
The 3 miles from her house to her parents’ house and 1 mile from her parents’ house to her grandparents' house make up 4 miles of her total journey. She then drove the same distance of 4 miles back home, totaling 8.4 miles.
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(90 Points)
Find the value of each variable in the parallelogram
Answer:
a = 17
k = 60
r = 20
Step-by-step explanation:
Adjacent angles of a parallelogram sum to 180°.
As angles 3r° and 6r° are adjacent angles:
⇒ 3r° + 6r° = 180°
⇒ 3r + 6r = 180
⇒ 9r = 180
⇒ 9r ÷ 9 = 180 ÷ 9
⇒ r = 20
Substitute the found value of r into the expression for angle 3r°:
⇒ 3(20)° = 60°
Opposite angles in a parallelogram are equal.
As angles 3r° and k° are opposite angles:
⇒ k° = 3r°
⇒ k° = 60°
⇒ k = 60
Opposite sides of a parallelogram are equal in length.
Therefore:
⇒ a + 13 = 30
⇒ a + 13 - 13 = 30- 13
⇒ a = 17
What is the greatest distance between any two vertices of a rectangular prism with dimesons 8 cm by 9 cm by 12 cm.
The greatest distance between any two vertices of a rectangular prism with dimensions 8 cm by 9 cm by 12 cm is the diagonal distance of the rectangular prism. This distance can be found using the Pythagorean theorem. The diagonal distance is √(8^2 + 9^2 + 12^2) = √(64 + 81 + 144) = √289 = 17 cm.
I hope this helps :)
Find the values of angles x, y, and z. A large triangle is divided into two smaller triangles by a line segment that extends from the upper vertex to the side opposite. • In the triangle to the left, the segment that divides the larger triangle into two smaller triangles forms a 40 degree angle with the side at the bottom of the triangle. The angle to the left in this smaller triangle is labeled x and the angle at the top of this triangle measures 60 degrees. • In the triangle to the right, the line segment that divided the larger triangle into two smaller triangles forms an angle that is labeled y with the side at the bottom of the triangle. The angle to the right in this triangle measures 20 degrees and the angle at the top of this smaller triangle on the right is labeled z. A. X = 80°; y = 140°; z = 20° B. X = 70°; y = 130°; z = 30° C. X = 80°; y = 50°; z = 110° D. X = 100°; y = 140°; z = 40°
For the given triangle , the values of the angles x , y , and z as per the given condition is given by option A. x = 80° , y = 140° , z = 20°.
Diagram is attached.
As given in the question,
For the given triangle,
As per the division of large triangle into smaller ones and the values of the angles of the larger and smaller triangle.
Diagram is attached.
In the drawn diagram of the triangle ABC,
Line passes through vertex A and intersect at point D on BC
Two smaller triangles are ΔABD , and ΔACD
As per given data,
In triangle ABD,
∠BAD = 60°
∠ABD = x°
∠ADB = 40°
x° = 180° -( 60 + 40 )°
= 80°
In ΔABC,
∠ACB = 180° - ( 80° + 60° + 20° )
= 20°
In ΔACD,
∠ADC = y°
∠DAC = z°
= 20°
B-C-D
∠ACB = ∠ACD
= 20°
y° = 180° - ( 20 + 20 )°
= 140°
Therefore, as per the given data of the triangle the values of the angles x , y , and z is equal to option A. x = 80° , y = 140° , z = 20°.
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Which function is the inverse of fx 2x 3?
The inverse of the function fx = 2x + 3 is the function f-1(x) = (x - 3) / 2.
To illustrate this, consider the example where x = 5. The function fx = 2x + 3 would then evaluate to 13 (2*5 + 3 = 13). To find the inverse, we must solve for x in the equation fx = 2x + 3. To do this, we must subtract 3 from both sides to get 2x = 10. We then divide both sides by 2 to get x = 5. Therefore, the inverse of the function fx = 2x + 3 is f-1(x) = (x - 3) / 2.
To calculate the inverse of the function fx = 2x + 3, we subtract 3 from the number x and then divide the result by 2. For example, if x = 8, the inverse of the function would be (8 - 3) / 2 = 2.5. This means that the inverse of the function fx = 2x + 3 is f-1(x) = (x - 3) / 2.
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There are 45 vehicles in a parking lot. Three fifths of the vhicles are minivans. How many of the vehicles in the parking lot are minivans?
A total of 45 vehicles in the parking are minivans.
Fractions are defined in mathematics as portions of a whole. The entire might be a single thing or a collection of objects. When we cut a slice of cake from the whole thing, the portion is the fraction of the cake. A fraction is a term that comes from Latin. "Fractus" means "broken" in Latin.
The total number of vehicles present in the parking lot= 45 vehicles
Total number of minivans = 3/5th
As for calculating the total number of minivans, we need to determine the value of the (3/5) of the total number of vehicles.
So, the value of total number of minivans = (3/5)*45 = 27
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Answer:
27
Step-by-step explanation:
45 divided by 5 = 9
9 times 3 = 27
How much is each angle of a 15 sides regular polygon?
Each angle of a 15-sided regular polygon is equal to 24 degrees.
The total of all the angles of a regular polygon is 360 degree. If the sides of the polygon are equal then the angles are also equal.
This polygon will for a total of 15 angles and all of them have the equal measure.
Hence to calculate each angle of the regular polygon we have to calculate
= 360/15
=24 degrees
Hence it can be said that each angle of an equal sided polygon having 15 sides is 24 degrees.
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Which of the following pairs of linear equation are consistent or inconsistent: 3x-2y=5 2x-3y=7
The solution to this pair of linear equations is x = 29/11 and y = 21. This shows that the two equations are consistent and can be solved using the Substitution Method.
The pair of linear equations 3x-2y=5 and 2x-3y=7 are consistent equations. This can be seen by solving the equations by the Substitution Method.
First, we begin by solving for y in the first equation:
3x - 2y = 5
3x = 5 + 2y
y = (3x - 5) / 2
Next, we substitute this value of y into the second equation:
2x - 3y = 7
2x - 3((3x - 5) / 2) = 7
2x - (9x - 15) / 2 = 7
11x - 15 = 14
11x = 29
x = 29 / 11
Finally, we substitute this value of x into the first equation to find the value of y:
y = (3(29/11) - 5) / 2
y = (87 - 5) / 2
y = 42 / 2
y = 21
Therefore, the solution to this pair of linear equations is x = 29/11 and y = 21. This shows that the two equations are consistent and can be solved using the Substitution Method.
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Which point of the given function corresponds with the minimum value of its inverse function? (–20, 8) (–10, 3) (0, –2) (8, –6)
The given function corresponds with the minimum value of its inverse function will be (–20, 8)
What is the minimum value of a function?
There will be minimum and maximum values for a function. The lowest y-value that the function reaches is the definition of a minimum value. The highest y-value that a function can attain is called a maximum value.
The functions arcsin(x) and cos(x) have a constant sum, 2, over the range [1,1].
Consequently, the issue is the same as determining the lowest and maximum values of (–20, 8)
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Emily was given for her high school graduation. She invested it in an account that earns interest per . If she does not make any deposits or withdrawals, which expression can be used to determine the amount of money that will be in the account after ?
The required amount of money she earned after 4 years is Amount = 600(1 + 0.024 )⁴. Option 3 is correct.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Amount = principal[1 + r/n]ⁿᵃ
Principal P = $600
rate r = 2.4%
Time = 4
n = 1
Now,
Amount = 600(1 + 0.024 )⁴
Thus, the required amount of money she earned after 4 years is Amount = 600(1 + 0.024 )⁴. Option 3 is correct.
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What's the inverse of 4?
Answer: The reciprocal of 4 is 1/4 = 0.25
Step-by-step explanation:
The House of Representatives and the Senate make up which part of the federal government?
Answer: congress
Step-by-step
The first step in the legislative process is the introduction of a bill to Congress. Anyone can write it, but only members of Congress can introduce legislation. Some important bills are traditionally introduced at the request of the President, such as the annual federal budget. Planation:
Congress
Step-by-step explanation:The US congress is a combination of 2 components called the House of Representatives and the Senate.
Legislative Branch
The US government is made up of 3 branches. Both parts of Congress are a part of the legislative branch. The purpose of the legislative branch is to create laws. The houses of congress create bills and then vote on them to become laws. If a bill passes both the Senate and the House of Representatives, then it is eligible to become a law in the United States.
Differences between the Senate and House of Representative
While both the Senate and House are in Congress, they have slight differences. One of the main differences is the size of the bodies. The senate has 100 senators. Each state in America gets 2 senators. On the other hand, there are 435 representatives in the House. Representation in the House is based on the population of each state.
What are the 3 different methods of solving a system of equations?
There are three ways to solve systems of linear equations in two variables graphing. substitution method. elimination method.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
What makes an equation linear?
When a linear equation is graphed, it always produces a straight line since each term in the equation has an exponent of 1. This is the basis for the term "linear equation" being used to describe it.
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The triangles shown below must be congruent.
62
58
7
60%
A. True
B. False
58°
60
7
62
Answer:
False
Step-by-step explanation:
Answer: FALSE
Step-by-step explanation:
How to solve 0.05 1?
The solution of 1-0.05 is -0.95.
Subtraction is an operation that is used to calculate the difference between two numbers. When a group of things is reduced in size by removing a few of them, the group becomes smaller.
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers. The subtraction symbol is one of the important math symbols that we use while performing subtraction.
Subtracting 1 from 0.05
we get,
1-0.05 = -0.95.
Thus, the solution of 1-0.05 is -0.95.
Complete question: How to solve 0.05 - 1?
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Match the vocabulary word to its correct definition.
1-an individual quantity or number in a sequence
sequence
2-the fixed amount added on to get to the next term in an arithmetic sequence
term
3-a sequence in which a fixed amount is added on to get the next term
arithmetic sequence
4-a set of numbers that follow a pattern, with a specific first number
common difference
Answer:
1 is sequence
2 is term
3 common difference
4arithmentic sequence
thirty six men can cultivate a piece of land in 20 days. How many more men working at the same rate would be needed to cultivate the same piece of land in 15 days
Answer:
900+ hours
Step-by-step explanation:
When a regression line was used to model exponential data, the r^2-value was 0. 668.
If the data is linearized using logarithms and then modeled again with a regression line, the r^2-value will be less than 0. 668.
A. True
B. False
False. When linearizing exponential data using logarithms, the data will become linear and the r²-value of the regression line will likely increase.
The logarithm transformation of the data will help to better fit the data with a linear regression line, since linear regression is used to fit linear data. Therefore, the use of logarithms can actually increase the r²-value of the regression line, not decrease it.
It is important to note that the r²-value does not necessarily indicate the accuracy of the model, but rather how well the model fits the data.
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expand -Sr+5=a using distributive property
Expand -Sr+5=a using distributive property = - S x r + 5 = a
What is the distributive property?This property states that multiplying the total of two or more addends by a number will provide the same outcome as multiplying each addend by the number separately and then adding the results together.The distributive property of mathematics states that multiplying a number by the sum of two or more addends yields the same result as dividing the multiplier among the addends, multiplying each addend individually, and then combining the results.When you multiply a value by a sum, the distributive property of multiplication over addition is used. Say you wish to multiply 5 by the product of 10 plus 3. When two words are similar, we often sum the two amounts before multiplying by 5. However, the property states that you should first multiply each addend by 5.Learn more about distributive property refer to :
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$4500 is invested at a simple interest rate of 4% per annum for 3years,3month.find the amount of interest earned.
now, let's keep in mind that a year has 12 months, thus 3 months is really 3/12 of a year
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$4500\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (4500)(0.04)(3) \implies \boxed{I = 540} \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$4500\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\to \frac{3}{12}\dotfill &\frac{1}{4} \end{cases} \\\\\\ I = (4500)(0.04)(\frac{1}{4}) \implies \boxed{I=45}[/tex]
HELPPPPP!!!!
For what values of Θ is tanΘ undefined?
90°
180°
135°
315°
The tangent function is undefined for any angle Θ that is a multiple of 90°, including 90°, 180°, 270°, and 360° (or 0°).
What is angle?Angle is a figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles are measured in degrees, using a protractor. Angles are used in everyday life, such as when measuring the angle of a roof, or when constructing a wall.
The tangent function is undefined for any angle Θ that is a multiple of 90°, including 90°, 180°, 270°, and 360° (or 0°). Additionally, the tangent function is undefined for any angle Θ that is the sum of two angles that are both multiples of 90°, such as 135° and 315°.
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Answer:
90°
Step-by-step explanation:
Finding the factors of a number that are all prime. Finding all the factor of 324?
The factor of 324 are : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, and 324
What are the Factors of 324?Factors of 324 are the numbers that, when multiplied, result in the number 324. Numbers that divide 324 without leaving a residual are considered to be its factors. Therefore, we claim that both of these numbers are factors of 324 when we multiply any two whole numbers together and the result is 324. Finding all the integers that would divide 324 without leaving a residual is necessary in order to determine the factors of 324. Starting with number 1, let's search for components that add up to 324.In the prime factorization and division methods, respectively, 324 can be expressed as the product of its prime factors and divided by its divisors.
Hence. the factor of 324 are : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, and 324
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−10. 74=u−(−11)minus, 10, point, 74, equals, u, minus, left parenthesis, minus, 11, right parenthesis
The given equation [−10. 74=u−(−11)] yields the value of u as "-21.74".
The equation is [−10. 74=u−(−11)]
In order to solve this equation simple mathematical operations are perfromed. Steps by step solution is given here:
[−10. 74=u−(−11)]
[-10.74 = u + 11]
To determine the value of u, it is required to take constants to one side the equation, so
[-10.74 - 11 = u]
[-21.74 = u]
The value of u is -21.74.
So after solving the given equation which is [−10. 74=u−(−11)] , the value of u to be determined is "-21.74."
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please hurry!! Solve x² - 2x - 2 = 0
O no solutions
0 x = -2
Ox=2+2√3
O x=1+i
Answer:
The third one
Step-by-step explanation:
x =2±2√3 is the answer because x2-2x-2 =0
How do you write vertex and Y intercept from vertex form?
The vertex for of the equation by using the vertex and y intercept is y = a(x - h)² + k
The term equation in math is called as a mathematical sentence that has two equal sides separated by an equal sign
Here we need to write vertex and Y intercept from vertex form
In order to find the solution, here we need to know the definition of vertex and y intercept.
The term vertex is defined as a special point of a mathematical object, and is usually a location where two or more lines or edges meet.
And the term y intercept in math is defined as the y-coordinate of a point where a line, curve, or surface intersects the y-axis.
Then the vertex form of the resulting equation is written as,
=> y = a(x - h)² + k
In the equation (h, k) refers the vertex of the equation and a is a constant.
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What is an example of 1 solution?
An example of a polynomial equation with one solution is x - 2 = 0.
This equation can be rewritten as x = 2.
The degree of the polynomial is 1, and it has only one distinct root, which is 2. Therefore, this equation has only one solution.
Another example can be x^2 -4 = 0, this equation can be rewritten as (x-2)(x+2) = 0.
The degree of the polynomial is 2, and it has two distinct root, which is 2 and -2. Therefore, this equation has more than one solution.
It's worth noting that the solutions of a polynomial equation can be real or complex numbers. In the above examples, the solutions are real numbers.
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18. An electronics store makes a profit of $72.00 for every television sold and $90.00 for every computer sold. (1 point)
The manager's target is to make at least $360.00 a day on sales from televisions and computers. Let x =
the number of televisions sold. Let y = the number of computers sold. Which of the following represents
three possible solutions to the problem?
The correct answer is D) x = 5, y = 3; x = 4, y = 4; x = 3, y = 5.
Which of the following best encapsulates the problem's three potential solutions?A) x = 4, y = 0; x = 3, y = 1; x = 2, y = 2B) x = 5, y = 2; x = 4, y = 2; x = 3, y = 3C) x = 4, y = 3; x = 3, y = 4; x = 2, y = 5D) x = 5, y = 3; x = 4, y = 4; x = 3, y = 5The correct answer is D) x = 5, y = 3; x = 4, y = 4; x = 3, y = 5.To meet the manager's target, the store must make at least $360.00 a day on sales from televisions and computers.To do this, the store must sell at least 5 televisions or 3 computers, or a combination of the two, to make $360.00.The store also has to make sure that the total profit from sales of televisions and computers adds up to $360.00.The solutions that satisfy this requirement are x = 5, y = 3; x = 4, y = 4; x = 3, y = 5.This means that the store must sell 5 televisions, 4 computers, or a combination of 3 televisions and 3 computers.By selling this combination of products, the store will make a total profit of $360.00, thus meeting the manager's target.To learn more about the algebraic concept of linear equations and inequalities refer to:
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Which of the following is the value of k if the roots of xsqare + kx+k=0are real and equal
The values of k are 0,4 if the roots of x²+kx+k = 0 are real and equal.
Given that,
Roots of x²+kx+k = 0 are real and equal.
The general form of the quadratic equation is ax²+bx+c = 0
Comparing the general form of a quadratic equation with the given equation, x²+kx+k = 0, we get
a=1, b=k, c=k
As the roots of the given equation are equal
⇒ Discriminant is 0.
That means, b²+4ac = 0
Further solving this equation by plugging in the values of the given equation:
=> k²-4k = 0
=> k(k-4) = 0
=> k = 0,4
Thus, the values of k are 0,4 if the roots of x²+kx+k = 0 are real and equal.
Complete question: What is the value of k if the roots of x²+kx+k = 0 are real and equal
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Jayla made a two-digit code. The first digit is odd. How many possible codes can she choose from? (Hint: Digits are numbers 0-9. )
If Jayla made a two digit code and the first digit is odd , then the number of possible codes that Jayla can choose from is 50 .
Jayla is making a two digit code ,
it is given that the first digit of the code is an odd digit ,
the odd digits are (1,3,5,7,9) , that means there is 5 possibility ;
the second digit of the code can be any number from (0 to 10) ,
so for the second digit there are 10 possibility ;
By the multiplication principle of Permutation ; the total number of possibility is = 5 × 10;
= 50 .
Therefore , there are 50 possible codes that she can choose from .
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What is the nearest 10 to 11?
The nearest 10 to 11 is 10. Ten is one number less than eleven, making it the closest 10 to 11.
The nearest 10 to 11 can be found by looking at the number line. On a number line, 11 would be one number after 10, making 10 the nearest 10 to 11. 10 is the closest number to 11 because it is one number less than 11. For example, if you look at the numbers 7, 8, 9, 10, and 11, 10 is the nearest 10 to 11 since it is right before 11. To further explain, if you look at the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 10 is again the nearest 10 to 11 since it is one number less than 11. As you can see, 10 is the nearest 10 to 11, making it the closest 10 to 11.
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Help me first one Who helps and gets right i will send 20 dollors
Number of adults needed to attend the trip are 3, 8, 10 and 9.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that, there must be 1 adult for every 4 students attending a field trip.
Part A :
The number of adults needed for 12 students = 12 / 4 = 3
Number of adults needed for 24 students = 24 / 4 = 8
Number of adults needed for 40 students = 40 / 4 = 10
Part B :
Given that there will be 33 students attending a field trip to an art museum.
Number of adults needed for 33 students is,
Number of adults needed for 32 students = 32 / 4 = 8
There is 1 student remaining.
There may need 1 more adult.
So there are 9 adults needed for the trip.
Hence 9 adults would need to attend the trip.
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