To convert 3/5 to a decimal, we divide the numerator by the denominator and we get 0.6. 3/5 as a decimal is 0.6.
To convert 3/5 to a decimal, we divide the numerator (3) by the denominator (5):
3 ÷ 5 = 0.6
Therefore, 3/5 as a decimal is 0.6.
Converting a fraction to a decimal involves dividing the numerator by the denominator. To convert 3/5 to a decimal, we can use long division or a calculator to perform the division. In this case, 3 divided by 5 equals 0.6. Alternatively, we can also recognize that the fraction 3/5 can be written as a decimal by dividing the numerator by the denominator. Since 3 is the same as 3.0, we can add a decimal point after 3 and divide by 5 to get 0.6. The decimal form of a fraction can be useful for making comparisons or performing calculations with other decimal numbers.
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Complete Question
what is 3/5 as a decimal?
How do you find multiples of 3 and 5?
To find multiple of 3 and 5 we need to add 15 to the previous multiple of 15.
To find multiples of 3 and 5, you can use the following steps:
1. Start with the number 3 and 5, respectively.
2. Add 3 or 5 to the previous number to get the next multiple. For example, 3 + 3 = 6, 6 + 3 = 9, and so on. Similarly, 5 + 5 = 10, 10 + 5 = 15, and so on.
3. Repeat step 2 until you have found the desired number of multiples.
Here are the first 10 multiples of 3 and 5:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Note that some numbers, such as 15 and 30, are multiples of both 3 and 5. These are called common multiples.
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Jimmy is an accountant who also works part-time as a museum tour guide. Information from his tax worksheet is wages from accounting job, $75,937.84; wages from museum job, $14,937.92; interest, $839.40; and dividends, $123.45. What is Jimmy’s total income?
Jimmy’s total income is the sum of all the incomes which is $91838.61 .
How to determine Jimmy's income?
You should understand that total income' refers to the sum of certain incomes (in cash and, in some circumstances, in kind) of the statistical unit during a specified reference period .
Now in the given question ,
The given parameters that will help us to determine the income are
wages from accounting job, $75,937.84;
interest, $839.40
wages from museum job, $14,937.92;
dividends, $123.45.
Therefore Jimmy's total income is the sum of all the incomes
$(75,937.84 + 839.40 + 14,937.92 + 123.45)
Total income = $91838.61
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suppose that a motorboat is moving at 40ft/s when its motor suddenly quits, and that 10 s later the boat has slowed to 20 ft/s. assume that the resistance it encounters while coasting is proportional to its velocity, so that dv/dtkv. how far will the boat coast in all?
The boat will coast a total distance of approximately 40/ln(0.5)/(-10) ft.
To solve this problem, we can use the concept of exponential decay. If we let v(t) be the velocity of the boat as a function of time t, then we can write the differential equation that describes its motion as:
dv/dt = -kv(t)
where k is the proportionality constant between resistance and velocity. We can separate variables and integrate both sides to get the velocity as a function of time:
∫(dv/dt) = -k∫(v(t))dt
v(t) = Ce^(-kt)
where C is an arbitrary constant of integration. We can use the initial condition v(0) = 40 ft/s to find C:
C = 40
So the velocity of the boat as a function of time is:
v(t) = 40e^(-kt)
We can use the condition v(10) = 20 ft/s to solve for k:
20 = 40e^(-10k)
Taking the natural logarithm of both sides:
ln(0.5) = -10k
k = ln(0.5)/(-10)
Next, we can use the velocity as a function of time to find the distance traveled by the boat:
∫(v(t))dt = ∫(40e^(-kt))dt = 40/k * (1 - e^(-kt))
Let's call the total distance traveled by the boat "D". Then we can write:
D = 40/k * (1 - e^(-kt))
We can plug in the value of k we found earlier and evaluate the expression at t = ∞:
D = 40/ln(0.5)/(-10) * (1 - e^(-∞)) = 40/ln(0.5)/(-10)
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can someone PLEASE help me ASAP! Due today!! I will give brainliest.
Show work please
The surface area of the given figure is 200 yd².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Representing the figure as three dimensional, this consists of two triangular bases and three rectangular faces.
Area of triangle = [tex]\frac{1}{2}[/tex] × base × height
= [tex]\frac{1}{2}[/tex] × 6 × 4
= 12 yards²
Area of two triangular faces = 12 × 2 = 24 yd²
Of the three rectangular faces, two of them have a length of 11 yd and width of 5 yd.
Area of a rectangle = Length × Width
Area of two rectangular faces = 2 × Length × Width
= 2 × 11 × 5
= 110 yd²
Area of the third rectangular face = 11 × 6 = 66 yd²
Total surface area = 24 yd² + 110 yd² + 66 yd²
= 200 yd²
Hence the total surface area is 200 yd².
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How can you solve real-world and mathematical problems with numerical and algebraic equations and inequalities?
Equations and inequalities based on numbers and algebra are effective tools for tackling both mathematical and real-world issues. The general steps you can take to use equations and inequalities to tackle such issues are listed below:
What is Linear Inequality?
In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.
Solution:
Equations and inequalities based on numbers and algebra are effective tools for tackling both mathematical and real-world issues. The general steps you can take to use equations and inequalities to tackle such issues are listed below:
1. Consider the issue carefully and note what you are looking for. You can use this to decide which variables to include in your equations.
2. The equations that describe the issue should be written down. This could entail writing expressions that relate the variables or utilizing formulas.
3. Use algebraic strategies to solve the equations, such as grouping like terms, multiplying or dividing both sides of the equation by a constant, or focusing only on one side of the problem's variables.
4. Verify your answers to make sure they make sense in light of the issue at hand.
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Equations and inequalities based on numbers and algebra are effective tools for tackling both mathematical and real-world issues. The general steps you can take to use equations and inequalities to tackle such issues are listed below:
What is Linear Inequality?In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.
According to question:
Equations and inequalities based on numbers and algebra are effective tools for tackling both mathematical and real-world issues. The general steps you can take to use equations and inequalities to tackle such issues are listed below:
1. Consider the issue carefully and note what you are looking for. You can use this to decide which variables to include in your equations.
2. The equations that describe the issue should be written down. This could entail writing expressions that relate the variables or utilizing formulas.
3. Use algebraic strategies to solve the equations, such as grouping like terms, multiplying or dividing both sides of the equation by a constant, or focusing only on one side of the problem's variables.
4. Verify your answers to make sure they make sense in light of the issue at hand.
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help me on this and tell me if i got them right
The volume of a rectangular prism is 320 m³.
What is a rectangular prism?A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.
1) Given that, base area is 40 m² and height is 8 m.
So, the volume = 40×8
= 320 m³
2) 2) In the basketball game, Scott attempted 14 free throws.
He made half of them = 14/2
= 7
So, he made 7 throws
3) Today's high is 47 degrees Fahrenheit.
The weatherman says it will hit freezing tonight.
So, the temperature is represented as -47 degrees.
4) The given numbers are 5489 and 6752
Now, the sum is 5489 +6752
= 12241
Estimated to the nearest thousand as 12000.
5) Jace had 38 paper airplanes at home.
Christopher gave him 14 more paper airplanes to play with at home. Then Ameera gave him 29 paper airplanes.
So, total airplanes= 38+14+29
= 81
So, Jace had total 81 paper airplanes.
Therefore, the volume of a rectangular prism is 320 m³.
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A grocery store sells a bag of 3 oranges for $0.90. How much does one orange cost?
Answer:
$0.30
Step-by-step explanation:
They tell you that a bag of 3 is $0.90. 3 can go into 90 a total of 30 times. 0.90/3 is 0.30
Answer:
first take a total price and then divided by the total bags to get price of each
Step-by-step explanation:
0.90÷3=0.30Can someone please help?? Thank you soo much
Khadija would have to pay $27.8 (7.5 x 4 - 1.7) to buy 4 pounds of apples.
What is cost?Cost the monitorial associated with the purchase of production of food or service if can include the prices of materials of which is over it and other expenses that are related to the production of the good of service cost is a major fraction when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.
The expression for the cost to buy x pounds of apples is: 7.5x - 1.7, where x represents the number of pounds of apples purchased. For example, if Khadija wanted to buy 3 pounds of apples, the cost would be calculated by 7.5x - 1.7, which is equal to 22.6 dollars.
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Compare the function g(x) = 4^3√x + 2 -5 to the cube root parent function f(x)=^3√x. How has the function been transformed from the original parent function?
PLEASE SHOW ALL WORK FOR BRAINLIEST!!
The transformations from the parent cube root function to generate function g(x) are given as follows:
Vertical stretch by a factor of 4.Shift left by 2 units.Shift down by 5 units.What is a translation?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.For this problem, the transformations are given as follows:
Multiplication by 4: vertical stretch by a factor of 4.x -> x + 2: shift left 2 units.y -> y - 5: shift down 5 units.More can be learned about translations at brainly.com/question/28174785
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eric reads an article that says 15 out of 25 adults use their computer everyday. He collects data from a random sample of adults. Out of 1,270 adults, estimate the number of adults who use their computer every day. Please show your work!
we can estimate that 762 adults in Eric's sample use their computer every day.
What is random sample?Each sample has an equal chance of being chosen as part of the sampling procedure known as random sampling. A randomly selected sample is intended to be a fair reflection of the entire population.
According to question:We can use the proportion from the article to estimate the number of adults who use their computer every day in Eric's sample.
The proportion of adults who use their computer every day from the article is:
15/25 = 0.6
This means that 60% of adults use their computer every day.
To estimate the number of adults who use their computer every day in Eric's sample, we can multiply the proportion by the sample size:
0.6 x 1,270 = 762
So we can estimate that 762 adults in Eric's sample use their computer every day.
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Jimmy, Jimbo and Jim Bob are all GT Algebra II students. It takes Jimmy 8 minutes to solve a 3-variable substitution problem without a calculator. Together, it takes Jimbo and Jim Bob 6 minutes to solve a 3-variable substitution problem without a calculator. If Jim Bob can solve a problem by himself in 14 minutes, how long would it take Jimbo to solve a problem alone?
It would take Jimbo
Question Blank 1 of 1
type your answer...
minutes to solve a problem alone.
Jimbo approximately 5.09 minutes to solve the problem by himself.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The amount of time it takes Jimbo to solve the problem by himself = x.
The amount of time Jimmy takes to solve the problem.
= 8 minutes
The amount of time it takes Jimmy to solve the problem by himself.
= 1/8
Jimbo and Jim Bob together can solve the problem in 6 minutes, so their combined rate of work is 1/6 of the problem per minute.
The amount of time it takes Jim Bon to solve the problem by himself.
= 1/14
Now,
We can make an equation:
1/8 + 1/x + 1/14 = 1/6
We can solve for x to find the amount of time it would take Jimbo to solve the problem by himself.
1/8 + 1/x + 1/14 = 1/6
Multiply both sides by 168x.
We get,
21x + 168 + 12x = 28x
33x = 168
x = 168/33
x = 5.09
Thus,
Jimbo approximately 5.09 minutes to solve the problem.
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Kirill purchased 20 cows, pigs and chickens for $3,447. If cows cost $750 each, pigs cost $60 each, and chickens cost $3 each, and he bought two more chickens than
pigs, how many of each animal did he buy?
pleas answer!!!!!!!!!!
why do i have to put 29 characters in the box
The rate of decrease is 89%.
The function shows exponential decay.
What is exponential decay?An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.
The exponential decay function:
Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.
Given:
An exponential function,
y = 8600(0.11)ˣ.
When we put x = 0,
we get,
y = 8600
And when we put x = 1
we get,
y = 946
So, 1 - r = 0.11
Rate of decrease, r = 0.89
Therefore, the function shows exponential decay.
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ting is making a circular garden with a radius of 6 feet.How far across is the garden at its widest point?What is the length of edging material to the nearest hundredth needed to enclose the garden?Use 3.14
The length of edging material needed to enclose the garden is approximately 37.68 feet to the nearest hundredth.
Describe Circumference of circle?The circumference of a circle is the distance around its outer boundary, also known as its perimeter. It is one of the fundamental properties of a circle, along with its radius and diameter.
Since the garden is circular, its widest point is its diameter, which is twice the radius. Therefore, the widest point of the garden is 12 feet across.
To find the length of the edging material needed to enclose the garden, we need to find the circumference of the circle. The formula for the circumference of a circle is C = 2πr, where r is the radius and π (pi) is approximately 3.14. Substituting, r = 6 into the formula, we get:
C = 2π(6)
C = 12π
To approximate this value using 3.14, we can substitute π = 3.14 and get:
C ≈ 12(3.14)
C ≈ 37.68
Therefore, the length of edging material needed to enclose the garden is approximately 37.68 feet to the nearest hundredth.
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what is the axis of symmetry of this quadratic? -5x² + 70x + 3
Answer:
x=7
Step-by-step explanation:
You graph it and find the middle point that would create a line through it and see where it his the x-axis.
Solve the following system of equations:
-2x + 3y = 7
y = 3x + 7
(-5, -1)
(-2, 1)
(-1,4)
(1,3)
The solution of the equations 3y - 2x = 7 and y = 3x + 7 will be (-2, 1). Then the correct option is B.
What is the solution to the equation?The possible value of the variables that satisfy the equation which is known as the solution of the equation.
The equations are given below.
-2x + 3y = 7 ...1
y = 3x + 7 ...2
From equations 1 and 2, then we have
- 2x + 3(3x + 7) = 7
- 2x + 9x + 21 = 7
7x = - 14
x = - 2
Then the value of 'y' is given as,
y = 3(-2) + 7
y = - 6 + 7
y = 1
The solution of the equations 3y - 2x = 7 and y = 3x + 7 will be (-2, 1). Then the correct option is B.
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2.
(08.02 LC)
Solve nine times two thirds.
Leave your answer as an improper fraction.
A) eleven twenty sevenths
B) eighteen twenty sevenths
C) eleven thirds
D) eighteen thirds
Pls help
The fraction of nine times two thirds is 18/3 (option D)
What is fraction ?
A fraction is a way of representing a part of a whole or a ratio between two numbers. It consists of two numbers written one above the other and separated by a horizontal line called a fraction bar.
The number above the fraction bar is called the numerator, and it represents the part of the whole or the quantity being considered. The number below the fraction bar is called the denominator, and it represents the total number of equal parts into which the whole has been divided.
Given by the question:
Nine times two thirds can be written as:
9 × 2/3 = 18/3=6
Simplifying this fraction, we can divide both the numerator and denominator by their greatest common factor of 3, which gives:
18/3
so the correct option is D.
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Which statement is true about the end behavior of the
graphed function?
O As the x-values go to positive infinity, the function's
values go to negative infinity.
O As the x-values go to zero, the function's values go to
positive infinity.
O As the x-values go to negative infinity, the function's
values are equal to zero.
O As the x-values go to positive infinity, the function's
values go to positive infinity.
As the x-values go to positive infinity, the function's values go to positive infinity. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The graph of the function is given below.
From the graph, we can conclude that the value of the graph is always positive. So, the function will be an exponential function.
From the graph, as the x-values go to positive infinity, the function's values go to positive infinity. Then the correct option is D.
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The diameter of a circle is 16 ft. Find its area to the nearest whole number.
Answer:
the area of the circle is approximately
201.06 ft^2
1. b^3/b^0
2. a•x^5/ a•x^4
3. a • b²•a²•b³
4. b-2•b²•a⁰
Use the properties of exponents to rewrite each
expression in the text box.
The following expressions solved with the properties of exponents;
b³
ax
a³ × b⁵
b
How to solve using properties of exponents?b³ / b⁰
= b^(3-0)
= b³
a•x⁵ / a•x⁴
= ax⁵ / ax⁴
= ax^(5-4)
= ax¹
= ax
a • b²• a²•b³
= a^(1+2) × b^(2+3)
= a³ × b⁵
b^-2•b²•a⁰
= b^(-2+2) × a⁰
= b¹ × 1
= b
Therefore, the properties of exponents states that when numbers of the same base are divided, the exponent will be subtracted and
when numbers of the same base are multiplied, the exponent will be added.
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Find the value of the X, Triangle Similarity
The value of 'x' in similar triangles is 6.9 units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know, A line segment parallel to one side of the triangle divides the other two sides in the ratio of their respective lengths.
Therefore, The ratio can be formed as,
13/5 = 18/x.
13x = 90.
x = 6.9 units.
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0.003/19.43 what is the answer
Answer:
0.000154
Step-by-step explanation:
Help please…………………………………..
The value of the wanted limit is:
[tex]\lim_{x \to 0} \frac{1}{4} (f(x))^4 = 64[/tex]
So the correct option is the third one.
How to find the limit?Here we know that:
[tex]\lim_{x \to 0} f(x) = 4[/tex]
And we want to find the value of the limit:
[tex]\lim_{x \to 0} \frac{1}{4} (f(x))^4[/tex]
Notice that because neither the fraction nor the power depend on the value of x, we can put the limit inside the parenthesis to get:
[tex]\lim_{x \to 0} \frac{1}{4} (f(x))^4 = \frac{1}{4} (\lim_{x \to 0} f(x))^4[/tex]
And we know that the thing inside the parenthesis is 4, then:
[tex]\frac{1}{4} (\lim_{x \to 0} f(x))^4 = \frac{1}{4} (4)^4 = 4^3 = 64[/tex]
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Pls help me thanks :)))
Answer:
y = - 1 , y = 17
Step-by-step explanation:
y² - 16y + 64 = 81 ← y² - 16y + 64 is a perfect square
)y - 8)² = 81 ( take the square root of both sides )
y - 8 = ± [tex]\sqrt{81}[/tex] = ± 9 ( add 8 to both sides )
y = 8 ± 9
then
y = 8 - 9 = - 1
x = 8 + 9 = 17
Use the distributive property to write an expression that is equivalent to 12+4=___.
Please I need help
Using the distributive property to write the expression, we have:
12+4 = 4(3 + 1)
How to use the distributive property to write an expression?The distributive property states that a(b + c) = ab + ac, where a, b, and c are any real numbers.
We can use this property to write an expression that is equivalent to 12 + 4 as follows:
12 + 4 = 4(3) + 4 (here, we have factored out 4 from 12 using the distributive property)
= 4(3 + 1) (we have combined the terms inside the parentheses)
Therefore, 12 + 4 is equivalent to 4(3 + 1).
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Are 5 2 13 5 and -5 2 13 -5 inverses? Why or why not?
Yes multiplying the matrices shows that it is inverse matrix
How to find if they are inversesThe inverse of a matrix is a matrix that, when multiplied by the original matrix, results in the identity matrix.
Using multiplication of matrices product is sort as follows
Row 1 column 1
= 5 * - 5 + 2 * 13 = -25 + 26 = 1
Row 1 column 2
= 5 * -2 + 2 * 5 = -10 + 10 = 0
Row 2 column 1
= 13 * -5 + 5 * 13 = -65 + 65 = 0
Row 2 column 2
= 13 * 2 + 5 * -5 = 26 + -25 = 1
The identity matrix is
Row 1 column 1 Row 1 column 2 1 0
Row 2 column 1 Row 2 column 2 0 1
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What's the value x?
The value of x is often used in algebra, meaning a value that isn't known yet. It is called a variable, or unknown
The value x is used often in algebra to specify an unknown variable.
What is Variable?Variables are often alphabets or letters used to represent an unknown number or value.
It is called a variable because it may change it's value according to the value of the others.
x is a variable which is commonly used to solve problems in algebra.
It represents the unknown variable.
We have to do certain operations to find the value of y.
Consider the equation, x + 5 = 13.
Here x is a unknown variable.
We can find the value of x as x = 13 - 5 = 8
Hence x is commonly used to represent an unknown variable.
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{
x = 10
3x + 5y = 20
What is the solution (x, y)
Answer:
x=10,y= -2).
Step-by-step explanation:
The given system of equations is:
x = 10
3x + 5y = 20
We can use substitution to solve for y. Starting with the first equation:
x = 10
We can substitute the value of x into the second equation:
3x + 5y = 20
3 * 10 + 5y = 20
30 + 5y = 20
5y = 20 - 30
5y = -10
Finally, we can solve for y by dividing both sides of the equation by 5:
y = -10 / 5
y = -2
x=10,y= -2).
Which of the following inequalities does the graph represent?
Number line -5 to +5 in single-integer increments - assessment graphic
Responses
–3 < t < 4
–3 < t < 4
t < –3 or t > 4
t < –3 or t > 4
–3 ≤ t ≤ 4
–3 ≤ t ≤ 4
t ≤ –3 or t ≥ 4
The statement t < –3 or t > 4 is the inequality that the graph represents.
What is inequality?Inequality in mathematics is when two values are not equal. It can be expressed using symbols such as >, <, ≥ and ≤. This can be used to compare two values, express a range of values, or indicate that one value is greater or less than another. Inequality is a powerful tool for solving mathematical problems, as it can be used to deduce relationships between different variables.
The graph represents the inequality t < –3 or t > 4. This can be seen by the number line, which has the integers -5 to 5 incrementally marked, with the bars extending beyond the -3 and 4 markers. This indicates that the value of t is less than -3 or greater than 4, but not equal to either of these values. Therefore, the statement t < –3 or t > 4 is the inequality that the graph represents.
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Help! Brainliest! Need help with 10, 12, and 13. I really appreciate it!!
The required ST² = TW × RT has been proven for the triangle RST where SW is perpendicular from vertex S to RT.
What are Similar triangles?Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
Here,
For the triangle RST where SW is perpendicular from vertex S to RT
Rewrite the equation,
ST² = TW × RT
ST/TW = RT/ST
It implies triangle SWT is similar to triangle RST,
Where,
∠S = ∠W and ∠T = ∠T
So triangle SWT is similar to triangle RST, by AA postulate of similarity.
If triangles are similar,
ST/TW = RT/ST [became valid statement]
ST² = TW × RT
Thus, ST² = TW × RT hence proved.
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