Round to the nearest tenth , if necessary the value of x is 11.5.
What is right triangle ?
A right triangle is a type of triangle in which one angle is equal to 90 degrees. The side opposite this 90-degree angle is known as the hypotenuse, and the other two sides are known as the legs. The Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs, applies to all right triangles.
Triangle ABC is a right angle triangle,
We can apply the Pythagorean Theorem to get,
[tex]x^{2} +8^{2} = 14^{2} \\x^{2} = 14^{2}-8^{2} \\x^{2} = 196-64\\x^{2} =132[/tex]
x ≈ 11.5
So , Round to the nearest tenth , if necessary the value of x is 11.5.
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For what value of A is x 5 a factor of x² 3x² ax 10?
The value of A when x - 5 is a factor of x³ - 3x² + ax - 10 is -8.
A polynomial factor is a polynomial that divides another polynomial exactly, with no remainder.
For example, if we have a polynomial P(x) = x³ - 3x² + ax - 10, and we have a polynomial factor F(x) = x - 5, we can say that P(x) is divisible by F(x) with no remainder.
In general, a polynomial of degree n has n roots (or zeroes) and the factorization of polynomial can be expressed as a product of its roots and its corresponding multiplicity.
To find the value of A, set x = 5 in the equation x³ - 3x² + ax - 10 and solve for A that will make the equation equal to zero..
So when x = 5, we have:
x³ - 3x² + ax - 10 = 0
(5)³ - 3(5)² + a(5) - 10 = 0
125 - 75 + 5a - 10 = 0
5a = -40
a = -8
Hence, if x - 5 is a factor of x³ - 3x² + ax - 10, then A is equal to -8.
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Nina can braid 48 inches of rope in 1 hr. What is her speed in feet per hour
Answer:
4 feet per hour
Step-by-step explanation:
48 inches is 4 feet in total
4 x 12 =48
Choose the statement that describes a relationship that has a negative slope. A Stan makes $2 for every customer on his newspaper route. B Lisa's parents give her $10 each week for her allowance. C Greg pays $25 each time he goes rock climbing. D The booster club makes $3 profit for each t-shirt they sell.
The statement that describes a relationship that has a negative slope: "Greg pays $25 each time he goes rock climbing".
What is negative slope?A negative slope indicates that two variables are adversely connected; that is, when x rises, y falls, and when x falls, y rises. A negative slope on a line graph signifies that the line falls as it travels from left to right. For example, when the number of individuals that quit smoking (x) grows, the number of persons developing lung cancer (y) drops. This relationship's graph has a negative slope. Positive slopes are predicated on the fact that when x grows, so does y, hence the change in y/change in x is positive. Negative slopes are based on the fact that when x grows, y decreases, resulting in a negative change in y/positive change in x, yielding a negative response.
Here,
"Greg pays $25 every time he goes rock climbing," says the statement describing a connection with a negative slope.
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Determine the range of the following graph: 12 11 10 8 5432 1 -12-11-10-9-8-7-6-5-4-3-2-1₁ - -5 -8 -9 -10 -12 1 2 3 4 5 6 7 8 9 10 11 12
The range of this graph (see attachment) include the following: {8, -6}.
How to identify the domain and range of a function?In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.
Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following:
Domain = -6 < x < 11 or [-6, 11].
Range = -6 < y < 8 or [-6, 8].
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Given that k is any integer, list all of the possible values for x that are in
the specified interval.
(a) π/2+ k· π, −3π ≤x≤ 3π
(b) π/6 + k· 2π, -2π≤x≤2π
(c) 7π/12 + k· π, 0 ≤ x< 2π
(d) 4/π+k• π/4 0 ≤ x< 4π
Where k is an integer, the range of potential values for x is between 90 and 45.
what is integer ?Integers can be zero, a calculation that shows, or a minus integer signified by a minus sign. An additive inverse of a positive integer that it relates to is a negative number. A group of integers is usually denoted in mathematical notation by a bold Z or even a bold "mathbb Z." An integer is a positive, negative, and zero number that is not a fraction (pronounced IN-tuh-jer). Non-integer examples include the numerals 1.43, 1 3/4, 3.14, and more. A collection containing integers and their southern hemisphere is known as an integer set. Fractions and decimals are not included in the integer set.
given
a) π/2 + k * π =
= k = 90
b) π/6 + k· 2π =
k = 45
Where k is an integer, the range of potential values for x is between 90 and 45.
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What is the log2 of 0?
Log2 of 0 is undefined. Log values can be defined for only real numbers which is greater than 0.
It is not defined because log values is defined only for numbers greater than zero but not zero and negative numbers. It's not a real number, because you can never get zero by raising anything to the power of anything else. You can never reach zero.
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please help i need to bring my grades up
The line that has the constant of proportionality between y and x of 1 / 2 , is C. Line C.
How to find the constant of proportionality ?The ratio used to compare changes in one variable to those in another is known as the constant of proportionality. The dependent variable fluctuates more with the independent variable when the proportionality constant increases.
The formula for the constant of proportionality is:
= Value of y / Value of x
For Line A we have point ( 1, 7 ) so the constant of proportionality is:
= 7 / 1
= 7
For line B, we have point (2, 3 ) so the constant of proportionality is:
= 3 / 2
= 1 . 5
For line C, we have point ( 4, 2 ) so the constant of proportionality is:
= 2 / 4
= 1 / 2
Line C is the line with a constant of proportionality of 1 / 2.
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What are the 3 types of problem solving?
The three different categories of problem-solving techniques are.
Clarifying.Ideating.Developing.What exactly does the term "problem-solving" mean?A problem must be defined, its cause identified, potential solutions located, ranked and selected, and then those solutions must be implemented. the steps taken to resolve problems.
Clarifying:
Making the situation clear is the first step in solving any issue.It simplifies things for you to handle and enables you to proceed.When speaking with clarifyers, salespeople should ask as many questions as possible to get more information.Ideating:
Making sense of the situation is the first step in solving any issue.It helps you to manage it better and enables you to proceed.When dealing with clarifyers, salespeople must ask as many clarification-related questions as they can.Developing:
The best course of action is something that developers are very careful to select.These people are meticulous perfectionists.Salespeople should give customers a few options in order to discover what distinguishes their decision from the alternatives.To know more about the problem-solving, here
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What is the exponential form of 5184?
Answer:
The exponential form of 5184 is 5184
In simple words, the exponents can said to be the powers of the base. For example, in 2³, the exponent will be 3. If a number is given without any power then its power is 5184. The exponential form is simply the number with exponents.
Simplify.
6 + 2 (x-8) + 3x -11 + x
A.4x + 4
B.6x + 21
C.4x - 4
D.6x + (-21)
Assign point_dist with the distance between point (x1, y1) and point (x2, y2). The calculation is: distance = squarerootof( (x2 - x1)2 + (y2 - y1)2 ). Sample output with inputs: 1. 0 2. 0 1. 0 5. 0.
The point_dist with the distance between point (x1, y1) and point (x2, y2): point_dist = math.sqrt((x2 – x1) ** 2.0 + (y2 – y1) ** 2.0).
The program is the illustration of functions. Functions are the collections of defined program statements, which are executed when they are evoked.
In this case, the program in Python, in which comments are used to explain each line is as follows:
#This imports the math module
import math
#This defines the function
def calculate distance (x1, y1, x2, y2):
#This calculates the distance between the point_dist
point_dist = math.sqrt((x2 – x1) ** 2.0 + (y2 – y1) ** 2.0)
#This returns the calculated distance
return dist distance
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Although part of your question is missing, you might be referring to this full question: Assign point_dist with the distance between point (x1, y1) and point (x2, y2). The calculation is: Distance = SquareRootOf( (x2 - x1)2 + (y2 - y1)2 ). Sample output with inputs: 1.0 2.0 1.0 5.0. Points distance: 3.0.
60+15+20+21+20+30+45=?
Step-by-step explanation:
PLEASEEEE GIVE BRANLIEST
Answer:
60+15+20+21+20+30+45= *212*
Kevin needs to buy some wood to build a box 12 inches long, 8 inches wide, and 10 inches high. How much wood is needed to build a box
960 woods
Step-by-step explanation:
lxbxh=12×8×10=960
Patrick and Oscar both went bowling last weekend, but not together. Patrick went during open bowling time, paying $1 for shoe rental and $6 per hour. Oscar went on family night, when each hour was $1 and shoe rental was $11. As it turned out, they played for the same number of hours and spent the same amount. How many hours did each one bowl? How much did each one spend?
Answer:
The spent 2 hours and $13.-------------------------------
Patrick has spent:
6x + 1 for x hoursOscar has spent:
x + 11 for x hoursSince they both spent same amount of money, we have:
6x + 1 = x + 116x - x = 11 - 15x = 10x = 2They both spent 2 hours and $(2 + 11) = $13.
Mateo realizes that he forgot to record check 354 for $25.79, but he does not know the amount of check 353. Which
equation can be used to find the amount, in dollars, x, of check 353?
A. 1,225.70 + x = 1,460.89
B. 1,225.70 +25.79 + x = 1,460.89
c. 1,460.89 +* 1,536.71
D. 1,460.89 +25.79+ x = 1,536.71
The correct equation to find the amount, in dollars, x, of check 353 is:
D. 1,460.89 +25.79+ x = 1,536.71
How to solve the equationThis equation shows that the sum of check 354, check 353, and the known total of 1,460.89 is equal to the corrected total of 1,536.71. So by solving for x, you can find the amount of check 353.
To solve for x, you would subtract 25.79 and 1,460.89 from both sides of the equation:
x = 1,536.71 - 1,460.89 - 25.79
x = 50.03
So the amount of check 353 is $50.03
It is important to notice that option A and B doesn't include the missing check 354, and option C doesn't add the missing check 354 and the corrected total, so option D is the right one.
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Which is a true statement about the transformation?
A.) Triangle ABC was translated 8 units left and 3 units up.
B.) The pre-image is in quadrant II.
C.) The orientation of the figure was changed.
D.) The orientation of the vertices was changed
HELP ASAP
Answer: the answer is B
Step-by-step explanation:
Answer:b
Step-by-step explanation:
What is the maximum number of shapes that can be formed by cross sections of a cube?
05
6
7
8
6
if youadd 9 tot he thing you get the answr
Linday i 5 year younger than Mark. Seven year ago, the um of their age wa 31. Let L be Linday' age and let m be Mark' age
Seven years ago the sum of their ages was 31:
(L - 7) + (M - 7) = 31
Given that:
Lindsay is 5 years younger than Mark. Seven years ago, the sum of their ages was 31.
let L be Lindsay's age and let m be Mark's age.
L −7 = (M−7) + 5
⇒ L + M = 31
⇒ L = M + 5
⇒ (L−7) + (M−7) = 31
Now,
L−7 = (M−7) − 5
⇒ L + M = 31
Now, as we know that:
Lindsay is 5 years younger than Mark.
Therefore,
L = m −5
And,
Seven years ago the sum of their ages was 31:
(L−7) + (m−7) =31
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Help with geometry similar triangles. ABC ~ ADE. Solve for x.
Answer:
x=18
Step-by-step explanation:
We know that triangle ABC is similar to triangle ADE, so therefore the proportions of their corresponding sides must be congruent.
We know that all of AD is 15 and BD is 5, which leaves AB to be equal to 10.
Next, we set up the following proportion: 10/12 = 15/x because they are corresponding sides of similar triangles divided by eachother.
Cross multiply and you will get 10x = 12x15 (180)
next, divide both sides by 10 to isolate x
x = 18
Solve using systems by substitution whats is y=x+8 and x+y=2
Answer:
Step-by-step explanation:
y = x + 8
x + y = 2
using substitution, since y is equal to x + 8 we substitute it for the y in x + y = 2
so we get: x + (x+8) =2
then we simplify, getting 2x + 8 = 2
We make the x on its own on one side of the equation by subtracting 8 on both sides.
2x = -6
divide
x = -3
y = 5
(if x = -3, y = 5 because -3 + 8 =5)
test answer
5 = -3 + 8 works and -3 + 5 = 2 works as well
(Write each statement in function notation if you know what function notation is)
1. At 3 seconds, the toy rocket is higher than the drone.
2. At the start, the toy rocket is 25ft above the drone.
The statements that relate each function are given as follows:
1. At 3 seconds, the toy rocket is higher than the drone: f(3) > g(3).
2. At the start, the toy rocket is 25ft above the drone: f(0) - g(0) = 25.
What are the inequality symbols and what are the functions?The four inequality symbols, along with their meaning, are presented as follows:
> x: greater than x.< x: less than x.≥ x: at least x.≤ at most x.The functions for this problem are given as follows:
f(x): height of the toy rocket after x seconds.g(x): height of the drone after x seconds.At 3 seconds, we have that the toy rocket is higher than the drone, that is, f(3) is greater than g(3), hence the inequality is given as follows:
f(3) > g(3).
At the start, the heights are given as follows:
Toy rocket: f(0), as the start is equivalent to a time of 0 seconds.Drone: g(0).The difference is of 25 ft, hence the expression is given as follows:
f(0) - g(0) = 25.
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Help me with my homework pls
Hate to have to tell you this but we need to see the homework to be able to help
The graphs of two equations intersect at a point with y -coordinate 4. If the first equation is y= -4+8 and the graph of the second equation is a line of slope 1 , find the second equation.
The second equation with a slope of 1 passing through (1, 4) is y = x + 3
What is an equation?An equation is an expression relating two or more numbers and variables.
The standard form of an equation is:
y = mx + b
Where m is the rate of change(slope) and b is the y intercept.
The first equation:
y = -4x + 8
Both equations intersect at a point with y -coordinate 4. Hence the corresponding x coordinate is by substituting y= 4:
4 = -4x + 8
-4x = -4
x = 1
The point is (1, 4)
The second equation has a slope of 1 and intersect at (1, 4). Hence:
y - 4 = 1(x - 1)
y = x + 3
The second equation is y = x + 3
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Serenity buys milk and potatoes at the store.
She pays a total of $31.69.
She pays a total of $4.09 for the milk.
She buys 4 bags of potatoes that each cost the same amount.
Write and solve an equation which can be used to determine xx, how much each bag of potatoes costs.
The required cost of each bag of potatoes cost is given as $6.9.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let the cost of each bag of potatoes be x,
According to the question,
4.09 + 4x = 31.69
4x = 31.69 - 4.09
x = 27.6/4
x =$6.9
Thus, the required cost of each bag of potatoes cost is given as $6.9.
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Which polynomial should be added in 3x³ 2x² +3 to get the polynomial 3x² +4?(1) 3x3 + 5x2 +1 (2) 3x2 – 5x +1 (3) - 3x3 + 5x2 +1 (4) - 3x3 - 5x2 + 1Answer with explanation
The polynomial 3x³ 2x² +3 can be written as 3x³ + 2x² + 3. In order to get the polynomial 3x² + 4, we need to add a polynomial which is equal to -3x³ + 5x² + 1.
Therefore, the correct answer is (3) - 3x3 + 5x2 +1.
We can confirm this by performing the following calculation:
3x³ + 2x² + 3 + (-3x³ + 5x² + 1) = 3x² + 4
3x³ + (-3x³) = 0
2x² + 5x² = 7x²
3 + 1 = 4
Therefore, 0 + 7x² + 4 = 3x² + 4, which confirms that the correct answer is 3x3 + 5x2 +1.
3x3 + 5x2 +1 is the polynomial should be added in 3x³ 2x² +3 to get the polynomial 3x² +4.
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How are you supposed to solve 50x8=?
Answer: 50x8 = 400 ✅
Step-by-step explanation:
To solve the equation 50x8=, you are supposed to multiply 50 by 8. (or add 50 8 times)
You can perform the multiplication by using mental math, a calculator or a pencil and paper.
So 50 multiplied by 8 equals to 400.
Is 512 a multiple of 8?
Yes, Number 512 represents it is a multiple of 8 is a true statement.
As given in the question,
Given number is equal to 8,
Given multiple is equal to 512 :
Multiple of any number is the representation of any number multiply by some integer.
When we multiply 8 by different integers we get its multiple as follow:
8, 16, 24, 32, 40, 48, 56, 64, 72,..... and so on.
When we multiply 64 by 8 we get 512.
Yes , the given statement is true.
Therefore, 512 represents a multiple of 8 which we get when we multiply 8 by 64 represents that the given statement is true.
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Paragraph prove statement
The paragraph proof is a proof written in the form of a paragraph. In other words, it is a logical argument written as a paragraph, giving evidence and details to arrive at a conclusion.
What is Paragraph prove statement?Paragraph proofs are comprehensive paragraphs that explain the process of each proof. Like two-column proofs, they have multiple steps and justifications. But instead of columns, the given information is formatted like a word problem — written out in long-hand format.
Since vertical angles are congruent, it is known that angle DCB is congruent to angle ACE. It can now be concluded that triangle DCB is congruent to triangle ACE according to the Side-Angle-Side (SAS) theorem.
There are two different types of proofs: informal and formal. Formal proof is often introduced using a two-column format, as favored by many geometry teachers.
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Complete question:
What is a Paragraph prove statement?
what is 14/10 converted
The given fraction converted to a decimal fraction is 1.4
The given fraction converted to a mixed fraction in its lowest terms is 1 2/5
Conversion of fractionsFrom the question, we are to convert the given fraction.
The given fraction is
14/10
Converting to a decimal fraction
14/10 = 1.4
Converting to a mixed fraction
14/10 = 1 4/10
Reducing the fraction
14/10 = 1 2/5
Hence,
The fraction converted is 1.4 and 1 2/5
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Does scientific notation have to be greater than 1?
The mantissa of scientific notation is between 1 and 10 in absolute value, or 1 ≤ |a| < 10. It can be 1, hence, it does not have to be greater than 1.
A scientific notation has the form:
a x 10ᵇ
Where b is an integer and is called exponent.
a is a real number between 1 and 10 (in absolute value), it includes 1 but not 10, or we can write a should satisfy 1 ≤ |a| < 10.
Usually, a is called mantissa.
Example:
2567 can be written in scientific notation as:
2567 = 2.567 x 10³
0.0045 can be written in scientific notation as:
0.0045 = 4.5 x 10⁻³
250 x 10² can be written in scientific notation as:
250 x 10² = 2.5 x 10⁴
-0.032 can be written in scientific notation as:
-0.032 = -3.2 x 10⁻²
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