Because of differences in the given dimensions, two students have different calculated areas when measuring the same rectangle.
What is a rectangle?In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles.Because all of its angles are equal, it is also known as an equiangular quadrilateral or a parallelogram with a right angle.A square is a rectangle with four equal-length sides.So,
1st students measurement:
Length = 20.70, width = 10.442nd students measurement:
Length = 20.74, width = 10.46The formula of area:
Area = length × width1st students measurement:
Area = 20.70 × 10.44Area = 216.108 cm²2nd students measurement:
Area = 20.74 × 10.46Area = 216.940 cm²Therefore, because of differences in the given dimensions, two students have different calculated areas when measuring the same rectangle.
Know more about rectangles here:
https://brainly.com/question/25292087
#SPJ4
The complete question is given below:
Calculating the area of a rectangle
Your measurements Another student's measurements
Length (cm) 20.70 20.74
Width (cm) 10.44 10.46
Area (cm2)
Required:
Why might two students have different calculated areas when measuring the same rectangle?
Six times the cube of a number
Six times the cube of a number x
Six times of the cube of x is 6x³.Given that
The number is x.To find
Six times of the cube of x ?So, according to the question
We have,
The number = xNow, for finding the six times of the cube of x, first we have to find the cube of x
The cube of x = x × x × x= x¹ × x¹ × x¹
∵ The powers will be added when
[tex]a^{m}\times a^{n} = a^{m+n}[/tex]
∴ = x⁽¹⁺¹⁺¹⁾
= x³
Now,
The six times of the cube of x = 6 × (the cube of x)= 6 × (x³)
= 6x³
The six times of the cube of x = 6x³.
To learn more about mathematical operations please click on the link:
https://brainly.com/question/14790398
#SPJ9
|n| = 5 brainly help
Answer:
Here is the answer: n = 5 or n = -5
Evaluating Functions → Finding the
->
Output
f(x) = 5x + 6
Find f(3)
21 is the value of function f(3) .
What is function?
A function is a type of rule that produces one output for a single input. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.Four main categories can be used to classify different sorts of functions. One to one function, many to one function, onto function, one to one and into function—all based on the element.f(x) = 5x + 6
f(3) = 5(3) + 6 = 15 + 6 = 21
Learn more about function
brainly.com/question/12431044
#SPJ9
how do you solve this
Answer:
F(x) =y
Step-by-step explanation:
He ask you what x equal when y=4 it will be 3 inshallah
Is 3.1 terminating or repeating
Answer:
Depends if there is a line above the "1".
Step-by-step explanation:
If it were the attached image it would be repeating>>
If not and it's just 3.1, its terminal.
Change the following statement into coordinate points
a)f(-1)=1
b)f(2)=7
c)f(1)=1
d)f(3)=0
Changing [f(-1) = 1] into coordinate points, we get (x₁, y₁) = (-1, 1),
Changing [f(2) = 7] into coordinate points, we get (x₂, y₂) = (2, 7),
Also, changing [f(1) = 1] into coordinate points, we get (x₃, y₃) = (1, 1),
And finally, changing [f(3) = 0] into coordinate points,
We get (x₄, y₄) = (3, 0).
As per question statement, we are provided with Four separate functions, as follows, [f(-1) = 1], [f(2) = 7], [f(1) = 1] and [f(3) = 0].
We are required to convert the above mentioned functions into coordinate points.
To solve this question, we need to know the standard form of conversion of functions into coordinate points, which goes as [y = f(x)], i.e., the ordinate is a function of the abscissa.
Thus comparing [y = f(x)] to [1 = f(-1)], we get (x, y) = (-1, 1).
Similarly, comparing [y = f(x)] to [7 = f(2)], we get (x, y) = (2, 7),
Comparing [y = f(x)] to [1 = f(-1)], we get (x, y) = (-1, 1),
And finally, comparing [y = f(x)] to [0 = f(3)], we get (x, y) = (3, 0).
Function: In Mathematics, a function is an operator which when provided with a input, gives a certain output.Coordinate Points: The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane by using the horizontal and vertical distances from the two reference axes.To learn more about Coordinate Points, click on the link below.
https://brainly.com/question/14202844
#SPJ9
Directions: Use what you have learned this week in class to answer the question. You should show your work or explain your reasoning in mathematical terms. Be specific. Draw a picture if you need to.
Question:
Evelyn has some paracord with a total length of 5-½ meters. She needs to cut the cord into 12 equal portions. What is the length of each piece written as a fraction? Is this value rational or irrational; why?
Work/Reasoning & Answer:
The above number divided 12 equal parts is given as 0.45833333333. In fraction, this is represented as: 45833333329/99999999990.
Hence it is right to conclude that it is an irrational number.
What is an irrational number?
An irrational number is any real number that cannot be expressed in fraction form.
Non-terminating, non-repeating decimals, such as 0.45445544455544445555..., are included. Irrational numbers are any square roots that are not perfect roots.
Learn more about irrational number:
https://brainly.com/question/1300130
#SPJ1
Find the value of z.
X
Z
Z =
Give
your answer in simplest form
PLEASE HELP
Answer:
6 or 5
Step-by-step explanation:
The value of x is 8.366, y is 4.582 and z is 5.477.
Using Pythagoras theorem in both Triangle as
Triangle 1:
H² = P² + B²
z²= y² + 3²
z² = y² + 9
Triangle 2:
x² = y² + 7²
x² = y² + 49
and, x² = z² - 9 + 49
x² = z² + 40.............(1)
Now, In big Triangle
x² + z² = 10²
x² + z² = 100
Now, from equation (1) we get
z² + 40 + z² = 100
2z² = 60
z² = 30
z = 5.477
and, x²= 30+40 = 70
x= 8.366
and, y²= z² - 9
y² = 21
y= 4.582
Learn more about Pythagoras theorem here:
https://brainly.com/question/21926466
#SPJ6
Evaluate the expression and enter your answer in the box below.
|34|
Answer:
34
Step-by-step explanation:
the absolute value function always gives a positive result , that is
| - a | = | a | = a , then
| 34 | = 34
Select all the like terms:
A. 5x
B. 7
C. 2x^2
D. 6xy
E. -8
Answer:
7 and -8
Step-by-step explanation:
-1/2 x -3/5 this is what i need help with.
Answer:
3/10 or 0.3
Step-by-step explanation:
Determine the truth value of each conditional statement. If true, explain your reasoning. If false, give a counterexample.If two angles are congruent, then they are vertical angles.
The truth value of the conditional statement is false, and the counterexample of this statement is corresponding angles
How to determine the truth value of the conditional statement?The conditional statement is given as:
If two angles are congruent, then they are vertical angles.
The above statement is false because not all congruent angles are vertical angles
A counterexample of this statement is a corresponding angle
i.e. corresponding angles are congruent angles, but they are not vertical angles
Hence, the truth value of the conditional statement is false, and the counterexample of this statement is a corresponding angle
Read more about counterexample at
https://brainly.com/question/16660863
#SPJ1
lcd of 2/3 and 3/4 ?
Answer:
The LCD of 2/3 and 3/4 is 12.
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Least common denominator is the common denominator, which is the bottom number, that two fractions share.
[tex]2/3 = 2/3 \cdot 4/4 = 8/12\\3/4 = 3/4 \cdot 3/3 = 9/12[/tex]
➲ Hope this helps.
Solve using PEMDAS
11²-[3. (8-5)*7-19=
Step-by-step explanation:
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)
Answer:
39.
Step-by-step explanation:
I say good try to the first guy, but aye, it's not fully answering the question.
PEMDAS is the order you solve all of this in. Parenthesis (), Exponents (^), Multiplication (*), Division (/), Addition (+), and Subtraction (-).
We would solve (8-5) first for 3, since there is no sign between both three's, this will be multiplication.
Next is the exponent, 11^2 is 11*11, which is equal to 121.
121 - 3 * 3 * 7 - 19
Next up is Multiplication. 3 * 3 = 9, and 9 * 7 is 63.
Now our equation is 121 - 63 - 19. There is no Division or addition symbol, so we skip to Subtraction.
121 - 63 = 58, and 58 - 19 = 39.
Your Answer is 39.
solve the inequality 5(a - 5) greater than 25
Answer:
5a-25=bigger than 25
a=bigger than 10
Step-by-step explanation:
Answer:
a>10
Step-by-step explanation:
10-5=5
5 times 5=25
So a must be bigger than 10
4
The lengths of four trails are listed below.
Oak Trail
Maple Trail
Pine Trail
Spruce Trail
10.653 kilometers
10.592 kilometers
10.732 kilometers
10.484 kilometers
Which trail is closest in length to 10.5 kilometers?
A Oak Trail
C Pine Trail
B Maple Trail
D
Spruce Trail
Padma chose B. How did she get that answer?
Which numbers.
need to compared
The trail that is closest in length to 10.5 kilometers is Spruce Trail. option D
How to determine the closest trailFrom the information given, we have that;
Oak Trail = 10.653 kilometersMaple Trail = 10.592 kilometersPine Trail = 10.732 kilometersSpruce Trail = 10.484 kilometersThe closest in length would be the trail with the lowest difference;
Oak trail = 10.653 - 10. 5 = 0. 153
Maple Trail = 10.592 - 10. 5 = 0. 092
Pine Trail = 10.732 - 10. 5 = 0. 232
Spruce Trail = 10.484 - 10. 5 = -0. 016
Thus, the trail that is closest in length to 10.5 kilometers is Spruce Trail. option D
Learn more about word problem here:
https://brainly.com/question/21405634
#SPJ1
Is the inequality x ≤ 6 equivalent to the inequality
x-5≤6-5?
Explain your reasoning
Step-by-step explanation:
two inequalities are equivalent if they have the same set of solution
x - 5 < 6 - 5
x - < 1 Ladd 5 to both sides
x < 6
this is not with the question but the is a _ under all the < it didn't let me do it
use the distributive property to find the quotient 628/2
Answer:
314
Step-by-step explanation:
translate and solve: 6 fewer than s is no less than −78. (write your solution in interval notation.)
When 6 fewer than s is no less than −78, the solution in interval notation is (84,∞)
Interval notation is a way of writing subsets of the real number line
Given,
6 fewer than s is no less than -78
6-s < -78
Move 6 to right hand side
-s < -78-6
-s < -84
s > 84
Then the interval notation is (84,∞)
Hence, when 6 fewer than s is no less than −78, the solution in interval notation is (84,∞)
Learn more about Interval notation here
brainly.com/question/16768997
#SPJ4
Someone please help me
The type of reasoning utilized in each of the given sentences are;
1) Inductive reasoning
2) deductive reasoning
3) Inductive reasoning
4) Deductive reasoning
5) Deductive reasoning
What is Inductive and Deductive Reasoning?
Inductive reasoning aims at developing a theory while deductive reasoning aims at testing an existing theory.
1) This statement depicts inductive reasoning because it is trying to develop a theory that that studying for a test earns you good grades.
2) This statement depicts deductive reasoning because you are testing an existing theory that red meat has iron in it to draw a conclusion that the steak on your plate has iron in it.
3) This statement depicts inductive reasoning because you are trying to develop a theory that sum of all angles in a triangle is 180 degrees.
4) This statement depicts deductive reasoning because you are testing an existing theory that parallelograms have two pairs of parallel sides to conclude that rectangles also have two pairs of parallel sides.
5) This is deductive reasoning.
Read more about Inductive and Deductive Reasoning at; https://brainly.com/question/860494
#SPJ1
Help me please what is 25,473+13,648+15,306
Answer:
54,427
here's your answer
Find the equation of a straight line passing through the point (2, 3) and makes an angle 60° with the x-axis. Hono
Answer:
Equation of a straight line, y=mx+c
i.e. y=
3
x+3
Therefore, y=
3
x+3 is the required equation of the line
Step-by-step explanation:
Which rational number equals 0.5?
Solve the linear equation x/3-7=-5
Answer:
x = 6
Step-by-step explanation:
[tex]\frac{x}{3} -7=-5[/tex]
→ Add 7 to both sides
[tex]\frac{x}{3} =2[/tex]
→ Multiply both sides by 3
x = 6
Question 3: A family is traveling in their RV all summer. They have several propane tanks on their RV. Propane is safe to use between temperatures of −40° F and 120° F.
Write an inequality to represent the temperatures at which the propane is safe to use.
The inequality to represent the temperatures at which the propane is safe to use is -40 < x < 120.
It is said that it is safe to use Propane between the temperatures of -40°C and 120°C.
We already know the use of an equality. It makes the values on both sides of it equivalent.
An inequality compares the values on both sides of it. It informs us which one is greater than or less than the other or if they are equal. That is, inequality has a possibility for equality too.
Here the minimum temperature at which propane is safe to use = -40°C
The maximum temperature at which Propane is safe to use = 120°C
We take a variable 'x' to denote the safe temperature of Propane.
Then according to the information, the inequality to represent the temperatures at which the propane is safe to use is,
-40 < x < 120
An inequality is written with the bigger value is in the open end of '<' and the lower value at the other end.
Learn more about inequalities at https://brainly.com/question/18384513
#SPJ1
The length and width of a rectangle are consecutive integers. The perimeter of the rectangle is 42 inches. Find the length and width of the rectangle.
Answer:
The length of the rectangle is 11 inches, and the width of the rectangle is 10 inches.
Step-by-step explanation:
Let l be the length of the longer side of the rectangle. Then the width of the rectangle is l-1 inches. Since the perimeter of the rectangle is 42 inches, we have:
2(l + l - 1) = 42
l + l - 1 = 21
2l = 22
l = 11 inches, so l - 1 = 10 inches
Which expression is NOT equivalent to 24+12?
3(8+9)
4(6+2)4(6+2)
4(6+12)4(6+12)
4(6+3)4(6+3)
A worker in a silver mine descends 56 feet. Use an integer to represent the change in the worker's position.
Answer: 56
Step-by-step explanation: The change from the number line is 56
Use the Law of Syllogism to draw a valid conclusion from each set of statements, if possible. If no valid conclusion can be drawn, write no valid conclusion and explain your reasoning.If you interview for a job, then you wear a suit.
If you interview for a job, then you will update your resume.
The statements are not valid syllogisms.
What is syllogism?The term syllogism has to do with the reasoning in which a premise must lead to a conclusion. In other words, the conclusion must logically follow from the premise that has been given.
Let us now see if the statements follows the laws of syllogism;
Statement 1 - If you interview for a job, then you wear a suit.
Statement 2 - If you interview for a job, then you will update your resume.
Looking at these statements it is easy to see that they are not valid syllogism. This is because, not every job requires you to wear a suit for interview. You could have a CV that does not need to be updated and still use it for an interview.
Learn more about syllogism:https://brainly.com/question/21635821
#SPJ1
25 points!
answer possibilities: A, B, C or D?
Answer:
A
Step-by-step explanation:
[tex]\frac{2xy}{-4x^3y^2}[/tex] ( cancel 2 and - 4 by 2 )
= [tex]\frac{xy}{-2x^3y^2}[/tex] ( cancel x on numerator/ denominator )
= [tex]\frac{y}{-2x^2y^2}[/tex] ( cancel y on numerator/ denominator )
= [tex]\frac{1}{-2x^2y}[/tex]