Each of them becomes the fraction 3/2, or 1 1/2. (the second triangle is a little less than twice as big). Since we often keep the scale factor as a fraction, we would remark that it is 3/2.
How do you dilate by scale factor?We locate the dilation's centre point and measure the distances between it and other points on the preimage and the image in order to get the scale factor for the dilation. As correctly stated by Math Bits Notebook, the scale factor is determined by the ratio of these distances.The new shape is three times as large as the original if the scale factor is 3.The fundamental equation to determine the scale factor of a figure is written as, Dimensions of the original shape minus the dimensions of the new shape equals the scale factor.Scale Up = larger measurement / smaller measurement (smaller to larger).Smaller measurement / larger measurement equals a scale-down operation.To learn more about scale refer to:
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Each of them becomes the fraction 3/2, or 1 1/2. (the second triangle is a little less than twice as big). Since we often keep the scale factor as a fraction, we would remark that it is 3/2.
How do you dilate by scale factor?We locate the dilation's center point and measure the distances between it and other points on the preimage and the image in order to get the scale factor for the dilation. As correctly stated by Math Bits Notebook, the scale factor is determined by the ratio of these distances.
The new shape is three times as large as the original if the scale factor is 3.
The fundamental equation to determine the scale factor of a figure is written as, Dimensions of the original shape minus the dimensions of the new shape equals the scale factor.
Scale Up = larger measurement / smaller measurement (smaller to larger).
Smaller measurement / larger measurement equals a scale-down operation.
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Which is a solution for the following system of inequalities?
(7x+2y >3
(x-2y <2
The solution for the system of linear inequalities 7x+2y > 3 and x-2y < 2 are x = 5/8 and y = -11/16
What are linear inequalities?Linear inequalities are inequalities that have constant average rates of change, slope or gradient
How to determine the solution to the system of inequalities?A system of linear inequalities is a collection of at least two linear inequalities.
In this case, the system of linear inequalities is given as
7x+2y > 3
x-2y < 2
Rewrite the inequalities as equations
7x+2y = 3
x-2y = 2
Make x the subject in the second equation, by adding 2y to both sides of the equation
x - 2y +2y = 2 + 2y
This gives
x = 2 + 2y
Substitute x = 2 + 2y in 7x+2y = 3
7(2 + 2y) +2y = 3
Expand the brackets
14 + 14y + 2y = 3
Evaluate the like terms
16y = -11
Divide both sides by 16
y = -11/16
Substitute y = -11/16 in x = 2 + 2y
x = 2 - 2 * 11/16
Evaluate the product
x = 2 - 11/8
Evaluate the difference
x = 5/8
Hence, the solution for the system of linear inequalities 7x+2y > 3 and x-2y < 2 are x = 5/8 and y = -11/16
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When researching for a business report, you should find reliable sources whose information is accurate, unbiased, and .
Answer:
Creditable
Step-by-step explanation:
Could also be:
up-to-date
Find the data set that places 22.6 as an outlier.
2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9
13.6, 31.7, 25.8, 22.6, 18.9, 21.6, 30.5
20.5, 20.8, 21.6, 22.6, 23.7, 24.5, 25.1
22.6, 21.5, 23.7, 22.6, 28.9, 22.6, 20.9
The data-set that places 22.6 as an outlier is given as follows:
2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9
When a measure is considered an outlier in a data-set?A measure is considered an outlier in a data-set if it is very far from other measures, especially in these two cases:
If the measure is considerably less than the second smallest value.If the measure is considerably more than the second highest value.In this problem, he data-set that places 22.6 as an outlier is given as follows:
2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9.
The second highest value is 5.3, which is considerably less than 22.6, hence 22.6 is an outlier in the data-set.
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If a is an obtuse angle in a triangle and sin a = , calculate the exact value of sin 2a.
Answer:
Step-by-step explanation:
cos A = √( 1 - (5/13)²) = √( 1 - 25/169) = √(144/169) = - 12 /13
in 2 A = 2 sin A cos A
sin 2 A = 2 *5/13 ( - 12/13 ) = - 120 / 169
the answer is -120/169
Type the correct answer in each box.
Compete the statement about these similar cylinders.
Using proportions to find the radius of figure 2, we have that:
The circumference of the base of figure 2 is of [tex]4\pi[/tex] inches.The area of the base of figure 2 is of [tex]4\pi[/tex] square inches.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The rule of three to find the radius of figure 2 is given as follows:
[tex]\frac{5}{9} = \frac{r}{4.5}[/tex]
Applying cross multiplication:
9r = 4 x 4.5
r = 4 x 4.5/9
r = 2 in
What is the circumference of a circle?
The circumference of a circle of radius r is given by:
[tex]C = 2\pi r[/tex]
In this problem, we have that r = 2 inches, hence:
[tex]C = 2\pi \times 2 = 4\pi[/tex]
What is the area of a circle?The area of a circle of radius r is given by pi multiplied by the radius squared, as follows:
[tex]A = \pi r^2[/tex]
Hence:
[tex]A = 4\pi[/tex]
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Answer: First one is 5, Second is 6.25
Step-by-step explanation: Correct on Edmentum/Plato
Help me please fast
Given (x² − x + 2)(x − 1) = Ax³ + Bx² + Cx + D what is the value of A + D
Answer:
-1
Step-by-step explanation:
Expanding (x² − x + 2)(x − 1) we get [tex]x^{3} -x^{2} -x^{2} +x+2x-2[/tex]. When we simplify that, we get [tex]x^{3} -2x^{2} +3x-2[/tex] which fits the form Ax³ + Bx² + Cx + D.
We can see that A = 1, B = -2, C = 3, D = -2. Thus A + D = 1 - 2 = -1.
Therefore your answer is -1
Answer:
A + D = -1
Step-by-step explanation:
Given: (x² − x + 2)(x − 1) = Ax³ + Bx² + Cx + D
Step 1: Simplify using the Distributive Property.
[tex]\\\implies (x^2 - x + 2)(x - 1) \\\\\implies x(x^2 - x + 2) + -1(x^2 - x + 2)\\\\\implies x^3 - x^2 + 2x - x^2 + x - 2\\\\\implies \bold{1}x^3 -\bold{2}x^2 + \bold{3}x - \bold{2}[/tex]
Step 2: Determine the value of the coefficients.
[tex]\implies {\sf A} = 1, {\sf B} = -2, {\sf C} = 3, {\sf D} = -2[/tex]
Step 3: Find the value of A + D.
[tex]\implies {\sf A} + {\sf D} \Rightarrow 1 - 2 = \boxed{-1}[/tex]
Which side lengths form a right triangle?
Choose all answers that apply
Answer:
A and B
Step-by-step explanation:
A : (a²+b²=c²) 11²+13²=290 (c²); c=√290
B : 7²+24²=625; c=√625=25
C : 2²+5²=29≠7²
According to the Pythagorean triple, the side lengths that will form a right triangle are:
A. 11, 13, √290
B. 7, 24, 25
What is the Pythagorean Triple?The Pythagorean triple are three set of sides that can form a right triangle if the square of the longest side equals the sum of the squares of the other two smaller sides.
11² + 13² = (√290)²
290 = 290 [correct]
7² + 24² = 25²
625 = 625 [correct]
2² + 5² = 7²
29 ≠ 49 [correct]
Therefore, the side lengths that will form a right triangle are:
A. 11, 13, √290
B. 7, 24, 25
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Total area=
Help me please thanks so much
The total area of the regular pentagon prism is 485 square units
How to determine the surface area?The given parameters are:
Base area = 50
Height = 11
Base = 7
Start by calculating the total area of the 5 sides using
Sides = n * Height * Base
Sides = 5 * 11 * 7
Sides = 385
The total surface area is
Total = 2 * Base area + Sides
This gives
Total = 2 * 50 + 385
Evaluate
Total = 485
Hence, the total area of the regular pentagon prism is 485 square units
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Which is the graph of linear inequality 6x+2y>-10?
Answer:
we have
6x+2y > -106x+2y>−10
Isolate the variable y
Subtract 6x6x both sides
2y > -6x-102y>−6x−10
Divide by 22 both sides
y > -3x-5y>−3x−5
The equation of the line of this inequality is
y=-3x-5y=−3x−5
The slope is negative and is equal to m=-3m=−3
The y-intercept is the point (0,-5)(0,−5) ----> value of y when the value of x is equal to zero
The x-intercept is the point (-5/3,0)(−5/3,0) ----> value of x when the value of y is equal to zero
The solution of the inequality is the shaded area above the dotted line
Using a graphing tool
see the attached figure
Find the side length of the equilateral triangle whose area is the square root of 3 cm2
Here, Given
Area of Equilateral triangle = 3cm2
therefore, we know;
Area of Equilateral triangle =( [tex]\sqrt{3}[/tex]÷4)×[tex]a^{2}[/tex]
so,
3 =( [tex]\sqrt{3}[/tex]÷4)×[tex]a^{2}[/tex]
3÷( [tex]\sqrt{3}[/tex]÷4) = [tex]a^{2}[/tex]
2.63 cm = a .
The area of an equilateral triangle is the area covered by an equilateral triangle on a two-dimensional plane. An equilateral triangle is a triangle with all sides equal and all angles at 60 degrees. The area of the shape is the number of unit squares that fit inside.
Here, "unit" refers to 1, and a unit square is a square with one side. Alternatively, the area of an equilateral triangle is the total amount of space it surrounds in a two-dimensional plane.
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determine which two of the three given triangles are similar. Find the scale factor for the pair.
Two students created a list of steps for the following construction. Which student has steps in the correct order, and which does not? Explain.
The student with the correct list of steps is student B
How to determine the correct student?The list of steps is to create a line parallel to line AB
Both students are correct in step (1).
However, the step (2) of student A is incorrect.
This is so because, the student did not provide how points C and G are created
Hence, the student with the correct list of steps is student B
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Find the volume of a pyramid with a square base, where the perimeter of the base is 4.1 m and the height of the is pyramid 3.6 m. Round your answer to the nearest tenth of a cubic meter.
I will mark brainlest
Answer:
Volume = 1.3m³Step-by-step explanation:
The height of the pyramid (h) = 3.6m
The perimeter of the base = 4.1m
Volume of a pyramid = ?
Formula:-
[tex]\boxed{\sf Volume =\cfrac{1}{3} \: a^2h}[/tex]
So,
Perimeter = 4a
[tex]\sf 4.1=4a[/tex]
[tex]\sf a=1.025[/tex]
Now, let's put the value of a in the formula:-
[tex]\sf V=\cfrac{1}{3} \:(1.025)^{2} (3.6)[/tex]
[tex]\sf 1.26075m^2[/tex]
[tex]\sf \thickapprox 1.3m^3[/tex]
Therefore, the volume of the pyramid is 1.3m³.
What is the number of degrees in the measure of the smaller obtuse angle formed by the hands of a standard clock at 2:48pm
Answer: 156 degrees
Step-by-step explanation:
Green’s Sport Shop offers its salespeople an annual salary of $10,000 plus a 6% commission on all sales above $20,000. Every employee receives a Christmas bonus of $500. What are Mr. Cahn’s total earnings in a year in which his sales amounted to $160,000?
(A) $18,900
(B) $18,400
(C) $19,600
(D) $20,100
Answer:
A
Step-by-step explanation:
His commision was 0.06(160000-20000) = $8400.
His salary was $10,000.
His bonus was $500.
Adding these together, we get $18,900.
3. classify each as nominal-level, ordinal-level, interval level, or ratio-level measurement. a. pages in the city of cleveland telephone book. (1 mark) b. rankings of tennis players. (1 mark) c. weights of air conditioners. (1 mark) d. temperatures inside 10 refrigerators. (1 mark) e. salaries of the top five ceos in the united states. (1 mark) f. ratings of eight local plays (poor, fair, good, excellent). (1 mark) g. times required for mechanics to do a tune-up. (1 mark) h. ages of students in a classroom. (1 mark)
Q1
Nominal - D
Ordinal- B, G
Ratio - A, C, E, F
Q2
Quantitative- A, C, D, G
Qualitative -B, E, F, G
Q3
Simple Random - A, C
Systematic Sample - B
Nominal measures are the most accurate and meaningless, as they only show the "characteristics" or "identities" that we are interested in. In other words, in a nominal variable, a number just gives the attribute a unique "name". In this case, the number is just a label.
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Which is the graph of the function f() = x2 + 2x - 6?
The x-intercepts from the graph are -3.646 and 1.646 with the parabolic curve facing upwards
Quadratic graphQuadratic functions are functions that has a leading coefficient of 2.
According to the question, we are to graph the quadratic function f(x) = x^2 + 2x - 6. The curve will be parabolic in nature and facing upwards since it is a quadratic function.
The x-intercepts from the graph are -3.646 and 1.646 as shown in the attached graph.
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Which system of equations below has no solution? y = 4x 5 and y = 4x – 5 y = 4x 5 and 2y = 8x 10 y = 4x 5 and y = one-fourthx 5 y = 4x 5 and y = 8x 10
Y=4x+5 and y=4x-5 has no solution
What are Linear Equations in two Variables?
The formula for a two-variable linear equation is Ax + By + C = 0, where A and B are the coefficients, C is a constant term, and x and y are the two variables, each with a degree of 1. A linear equation with two variables, for instance, is 7x + 9y + 4 = 0. These two linear equations are referred to be simultaneous linear equations if we take them into consideration.
Steps
[tex]Y=4x+5\\ Y=4x-5[/tex]
Substitute y=4x+5
[tex][4x+5=4x-5][/tex]
Refine [tex][4x+5=4x-5][/tex]
-10=0
-10=0 is a false ,therefore the system of a equation have no solution
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m
A math teacher gives a quiz. Each question on the quiz is
worth 8 points. A score of 75 is a passing grade.
Which number of correct answers will result in a passing
grade?
From statement equation, the number of correct answers will result in a passing grade is 9.3
What number of questions is required for passing grade ?Given that each question on the quiz is worth 8 points.
Also given a score of 75 is a passing grade.
Let the number of correct answered questions be x
Thus the total score of the correct answers is 8x
The statement equation is -
⇒ 8x = 75
⇒ x = 75/8 = 9.3
∴ x ≈ 9
Therefore, from statement equation, the number of correct answers will result in a passing grade is 9.3
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A
B
C
D
LO
-5
Y
A'
В'
O
D'
Which rule describes the translation?
(x, y)
(x-8, y - 3)
(x, y)
(x-3, y + 8)
C
(x, y) → (x + 8, y − 3)
O (x, y) → (x + 3, y + 8)
Answer:
C. (x,y) ⇒ (x + 8, y − 3)
Step-by-step explanation:
See attached image.
write 1/c + 1/d - c-d/cd as a single fraction in its simplest form
imagine the cd/cd as 1 which is a whole number. then, add the denominators (d+c-cd)/cd
WILL MAKE BRAINLIEST!! Solve for x
Answer:
x=17
Step-by-step explanation:
Since they are intersecting lines, 3x=51
x=17
Answer:
x = 17
Step-by-step explanation:
When two lines intersect each other, the opposite angles are identical. Therefore, you can set both angles equal to each other to find the value of "x".
3x = 51
x = 17
A company’s cost, in dollars, of manufacturing x tablet computers can be represented by 20x + 200. The company’s predicted revenue of selling x tablet computers is 100 + 30x. Write a polynomial expression that represents the profit of selling x tablets. Simplify as much as possible (profit = revenue – cost)
The polynomial expression that represents the profit of selling x tablets is 10x - 100
PolynomialTotal cost = 20x + 200Predicted revenue = 100 + 30xprofit = revenue – cost
= (100 + 30x) - (20x + 200)
= 100 + 30x - 20x - 200
Profit = 10x - 100
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A magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the ​respondents, ​% chose chocolate​ pie, and the margin of error was given as percentage points. Describe what is meant by the statement that​ "the margin of error was given as percentage​ points."
The statement indicates that the interval 12%±5% is likely to contain the true population percentage of people that prefer chocolate pie.
According to the statement
we have a given that the Among the 1000 respondents,
12% chose chocolate pie, and the margin of error was given as
±5 percentage points.
and we have to explain the statement that the margin of error was given as ±5 percentage points.
We know that the interval is a set of real numbers that contains all real numbers lying between any two numbers of the set.
And this statements also indicates the interval between the like and unlike respondents of chocolate pie.
So, this statement indicates that the interval 12%±5% is likely to contain the true population percentage of people that prefer chocolate pie.
So, The statement indicates that the interval 12%±5% is likely to contain the true population percentage of people that prefer chocolate pie.
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PLEASE HELP FAST!!! Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.
The total surface area of the composite figure is calculated as 444 m².
What is the Surface Area of the Composite Figure?Total surface area = surface area of the bottom rectangular prism + surface area of the top triangular prism - area of the shared surface.
Surface area of the triangular prism = (S1 + S2+ S3)L + bh = (16 + 10 + 10)5 + (6)(16) = 276 m²
Rectangular prism surface area = 2(wl + hl + hw) = 2(5×16 + 4×16 + 4×5) = 328 m²
Area of shared surface = 2(16)(5) = 160 m²
Total surface area = 328 + 276 - 160 = 444 m².
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you generate electricity with your own personal wind turbine? That depends on whether you have enough wind on your site. To produce enough energy, your site should have an annual average wind speed of at least 8 miles per
ding to the Wind Energy Association. One candidate site was monitored for a year, with wind speeds recorded every 6 hours. A total of 1114 readings of wind speed averaged 8.019 mph with a standard deviation of 3.813 mph. Youl
I asked to make a statistical report to help the landowner decide whether to place a wind turbine at this site. Complete parts a and b below.
The 95% confidence interval of the statistics is (7.795, 8.243).
How to illustrate the information?Based on the information given, the 95% confidence interval will be:
= 8.019 + (1.962 × 3.183/✓1114)
= 8.243 and
= 8.019 - (1.962 × 3.183/✓1114)
= 7.795
In conclusion, the 95% confidence interval of the statistics is (7.795, 8.243).
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WILL MAKE BRAINLIEST!!Determine if the two triangles are congruent if they are state the postulate or theorem that provides they are congruent
Answer:
Yes they are congruent by SSS criterionStep-by-step explanation:
AC=DC. (Given in figure)
AB=BD. (Given in figure
BC=BC. (Common)
that means triangle BAC is congruent to triangle BDC by SSS criterion.
What is the area of the shape?
Answer: 21 units²
Step-by-step explanation:
Since there is a pair of parallel sides, this figures is a trapezoid. The formula for the area of a trapezoid is [tex]\frac{1}{2}(a+b)h[/tex], where a and b are the parallel sides and h is the height.
Here, a and b are 5 and 9, while 3 is the height. Let's put all 3 values into the formula.
[tex]A=\frac{1}{2}(5+9)*3[/tex]
[tex]A=\frac{1}{2}(14)*3[/tex] [Adding in the parentheses]
[tex]A=7*3[/tex] [Multiplying one-half by 14]
[tex]A=21[/tex] [Multiplying 7 and 3]
The area is 21 units².
can someone please help me
Answer:
see explanation
Step-by-step explanation:
[tex]\frac{3\pi }{4}[/tex] is an angle in the second quadrant where sin > 0 and cos < 0
cos([tex]\frac{3\pi }{4}[/tex] )
= cos (π - [tex]\frac{3\pi }{4}[/tex] )
= - cos ([tex]\frac{\pi }{4}[/tex] )
= - [tex]\frac{\sqrt{2} }{2}[/tex]
and similarly
sin ([tex]\frac{3\pi }{4}[/tex] )
= sin ([tex]\frac{\pi }{4}[/tex] )
= [tex]\frac{\sqrt{2} }{2}[/tex]
What elements in domain has the image 5 under function f(x)= 3x+ 2?
plssssssss heeeeeellllllp me
tomorrow is my test T^T
Answer:
Step-by-step explanation:
hello
calculate x : 3x+2 =5
means : 3x+2-2 =5-2
3x = 3
so : x = 3/3 =1
1 is the element in domain has the image 5 under function f(x)= 3x+ 2