The proportionality used in the given diagram is 4/3=12/x if ΔABC and ΔDEF are similar. So, option 4 is correct.
What is meant by triangle?Triangles are polygons because they have three vertices and three edges. This is one of the basic shapes in geometry.
In Euclidean geometry, any three non-collinear points determine a distinct triangle and a distinct plane (i.e. a two-dimensional Euclidean space). To put it another way, every triangle has a plane that it is contained in, and there is only one plane that contains every triangle. If and only if all geometry is the Euclidean plane, all triangles are contained in a single plane; however, this is no longer true in higher-dimensional Euclidean spaces. The topic of this article, unless otherwise stated, is triangles in Euclidean geometry, specifically the Euclidean plane.
We have to assume that ΔABC and ΔDEF are similar.
If the triangles are similar,
Then the proportionality is:
AB/BC=DE/EF
4/3=12/x
Therefore, the proportionality used in the given diagram is 4/3=12/x.
So, option 4 is correct.
To know more about triangle, visit:
https://brainly.com/question/2773823
#SPJ1
10 points! Daryl has a scholarship that pays 80% of his tuition for all four years he attends college. What is the total value of the scholarship if the tuition is $13,500 per year?
Answer:
The value of the scholarship is $10800
Step-by-step explanation:
Step one:
Daryl has a scholarship that pays 80% of his tuition per year
the total value of the scholarship if the tuition is $13,500 per year
Step two:
let us solve for the value of 80% of the tuition which is $13,500 per year.
this is calculated as
=80/100*13,500
=0.8*13,500
=10,800
!Help! Solve for x.
Answer:
x=7
Step-by-step explanation:
The "notches" on arc MN and arc PQ tell us that they're equal in length.
If they are, then the straight segments PQ and MN are equal too!
3x + 5 = 26
3x = 21
x = 7
I need to know if it’s a, b, c or d
The general equation of a circle is
\((x-h)^2+(y-k)^2=r^2\)Here, (h,k) is the center of the circle and r is the radius of the circle.
change the given equation into the general form as follows:
\((x-0)^2+(y-0)^2=5^2\)So, the center is (0,0) and the radius is r = 5.
6,098*c=5,695,532 i need help pleas
The value of c in the equation 6,098×c=5,695,532 is 934
The given equation is 6,098×c=5,695,532
We have to find the value of c
c is the variable in the equation
6,098×c=5,695,532
Divide both sides by 6098
c=5,695,532/6098
c=934
Hence, the value of c in the equation 6,098×c=5,695,532 is 934
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
What is the volume of the composite figure? Use 3. 14 for Pi. Round to the nearest hundredth. A cylinder and cone. Both have a radius of 4 centimeters. The cone has a height of 8 centimeters and the cylinder has a height of 7 centimeters. Recall the formulas V = B h and V = one-third B h 242. 83 cubic centimeters 309. 81 cubic centimeters 334. 93 cubic centimeters 485. 65 cubic centimeters
Rounding to the nearest hundredth gives us 418.89 cubic centimeters. So option D) 485.65 cubic centimeters is incorrect.
The volume of the composite figure can be calculated by adding the volume of the cylinder and the volume of the cone.
The formula for the volume of a cylinder is V = Bh where B is the area of the base and h is the height. The base of a cylinder is a circle with a radius of r. So, B = πr².
The formula for the volume of a cone is V = 1/3 Bh where B is the area of the base and h is the height. The base of a cone is also a circle with a radius of r. So, B = πr².
Given that both have a radius of 4 centimeters, we can calculate their volumes as follows:
Volume of cylinder = πr²h = π(4)²(7) = 351.86 cubic centimeters Volume of cone = 1/3πr²h = 1/3π(4)²(8) = 67.02 cubic centimeters
Adding both volumes gives us:
Volume of composite figure = Volume of cylinder + Volume of cone = 351.86 + 67.02 = 418.88 cubic centimeters
Rounding to the nearest hundredth gives us 418.89 cubic centimeters.
Therefore, option D) 485.65 cubic centimeters is incorrect.
to know more about the volume of a cone click here:
https://brainly.com/question/1082469
#SPJ4
Mr. Iceman wanted to prove that his statistics class was the most popular course in the school. He surveyed all of the top students in each of his statistics classes. This method of surveying will produce results that are
representative of the entire student population because it is a
sample
Answer:
,.........................................
triangle A’ B’ C’ is the image of triangle ABC
pls help i am so stuck!
The horizontal change from triangle ABC to triangle ABC include the following: A. right 5 units.
The vertical change from triangle ABC to triangle ABC include the following: C. down 2 units.
The translation rule in the standard format is: (x, y) → (x + 5, y - 2).
What is a translation?In Mathematics, the translation of a graph to the left is a type of transformation that simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation of a graph to the right is a type of transformation that simply means adding a digit to the value on the x-coordinate of the pre-image.
By translating the pre-image of triangle ABC horizontally right by 5 units and vertically down 2 units, the coordinate A of triangle ABC include the following:
(x, y) → (x + 5, y - 2)
A (3, 5) → (3 + 2, 5 - 2) = A' (5, 3).
Read more on translation here: brainly.com/question/26869095
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
A conceptual model that helps strategists choose between seeking internal development, entering into an alliance, or acquiring new resources, capabilities, and competencies is called the " framework. a) build-borrow-or-buy b) organic growth c) internal-versus-external growth d) capability development
Build-borrow-or-buy.
The build-borrow-or-buy framework is a conceptual model used by strategists to help them decide whether to build capabilities internally, borrow them through partnerships and alliances, or buy them through mergers and acquisitions. The framework helps organizations identify the most efficient and effective way to acquire the resources, capabilities, and competencies they need to achieve their strategic goals. It is a useful tool for decision-making when considering growth strategies, and can help managers evaluate the costs, risks, and benefits of each option.
To know more about costs visit :
https://brainly.com/question/30045916
#SPJ11
(a) build-borrow-or-buy. This framework helps strategists decide whether to pursue internal development, enter into an alliance, or acquire new resources, capabilities, and competencies.
the build-borrow-or-buy framework suggests that companies have three options when it comes to acquiring new resources and capabilities. First, they can build or develop these resources and capabilities internally through investments in research and development or employee training. Second, they can borrow or enter into strategic alliances with other companies to gain access to new resources and capabilities. Finally, they can buy or acquire companies that already possess the desired resources and capabilities.
the build-borrow-or-buy framework provides a structured approach for companies to evaluate their options when it comes to acquiring new resources and capabilities. By considering the pros and cons of each option, companies can make more informed decisions that align with their strategic goals and objectives.
The build-borrow-or-buy framework is a conceptual model that helps strategists decide whether to seek internal development (build), enter into an alliance (borrow), or acquire new resources, capabilities, and competencies (buy). This model assists organizations in evaluating their options for growth and resource allocation based on their strategic goals and objectives.
the build-borrow-or-buy framework is a valuable tool for strategists when choosing between internal development, alliances, or acquisitions to achieve their organization's growth and resource needs.
To learn more about Second: visit
https://brainly.com/question/24237610
#SPJ11
what is the equation of a line parallel to y=4/5x+2 that passes through 1,2
Answer:
4/5x+6/5
Step-by-step explanation:
not sure but i have my ways with equations lol
Find the area of the triangle below.
Answer:
20.25
Step-by-step explanation:
Just multiply the base and height then divide the results in half.
Hope this helps!
which expression is equivalent
Answer:i think its the second choice sorry if im wrong
Step-by-step explanation:
NEED HELP ASAP
Factor the trinomial: x² +22x + 72. Explain your steps.
I got you, bro
Answer:
(x+4)(x+18)
Explanation
Let's factor x2+22x+72
x2+22x+72
The middle number is 22 and the last number is 72.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 22
Multiply together to get 72
Can you think of the two numbers?
Try 4 and 18:
4+18 = 22
4*18 = 72
Fill in the blanks in
(x+_)(x+_)
with 4 and 18 to get...
(x+4)(x+18)
Answer:
(x+4)(x+18)
Answer:
(x+4)(x+18)
Step-by-step explanation:
Using the factorisation method :
We need 2 numbers that multiply to give +72 and add to give +22 :
To find these numbers we write out all the factors of 72 :
1, 72
2 , 36
3 , 24
4 , 18 ----> These must be the numbers as 4+18 = 22
Now we split +22x into +4x and +18x :
x² + 4x + 18x + 72
Factor the first 2 terms together and the last two terms :
x(x+4) + 18(x+4)
Keep 1 bracket and terms outside the brackets collect them into one:
(x+4)(x+18)
This is our final answer
Hope this helped and have a good day
PLEASE HELP WITH BOTH I WOULD APPRECIATE IT SO SO SO MUCH❤️
Answer:
The answer to question 14 is (6, 5), and the answer to question 15 is D) x = -2 and y = 1.
Step-by-step explanation:
Question 14 explanation: Because each line on the graph represents a different function, that means that the point where they intersect is the answer, as the point both appear on the equations \(y = \frac{1}{2} x+2\) and \(y=x-1\). Since the two equations' point of intersection is (6, 5), that means the solution to the system of equations is the point (6, 5).
Question 15 explanation: The solution to the system of equations \(3x+4y=-2\) and \(2x-4y=-8\) would be the x and y values that satisfy both equations. If you select the pair on selection D, you'll find that it's valid. \(3(-2)+4(1)=-2\) ⇒ \(-6+4=-2\) ⇒ \(-2 = -2\), which is true, so choice D works for the first equation. \(2(-2)-4(1)=-8\) ⇒ \(-4-4=-8\) ⇒ \(-8=-8\), which is also true. This means that x = -2 and y = 1 is the solution to the system of equations, making choice D the correct answer.
What am I doing wrong here? Please help!
Answer:
If there are dotted lines available then use dotted lines for the range where its only greater than or less than, when there is no equals to sign then you use dotted lines
Step-by-step explanation:
A recursive function with parameter n counts up from any negative number to 0. an appropriate base case would be n == 0.
true/ false
True: A recursive function with parameter n counts up from any negative number to 0. an appropriate base case would be n == 0.
In a recursive function, a base case is a condition that determines when the recursion should stop. It serves as a termination condition, allowing the function to return a result and prevent infinite recursion.
In the given scenario, the goal is to count up from any negative number to 0 using a recursive function with parameter `n`. An appropriate base case for this function would indeed be `n == 0`. When `n` reaches 0, it signifies that the counting process has reached its endpoint, and the recursion should stop.
By setting `n == 0` as the base case, the recursive function will keep incrementing the value of `n` until it reaches 0, effectively counting up from any negative number.
Learn more about recursive functions
brainly.com/question/26993614
#SPJ11
Laws of Sines: Find each measurement indicated. Round your answer to the nearest tenth.
Answer:
2. 137°
3. 24.7°
Step-by-step explanation:
Using cosine law:
2. 28² = 12² + 18² - 2(12)(18)cosA
cosA = -79/108
A = 137.0107361°
3. 15² = 19² + 30² - 2(19)(30)cosC
cosC =259/285
C = 24.66381079°
The measure of the angle is:
m∠A = 66.8°
m∠C = 30°
We have,
2.
Using tan trigonometric identities.
tan A = 28/12
Simplify the fraction
tan A = 7/3
Take inverse trigonometry
A = \(tan^{-1}(7/3)\)
A = 66.8°
3.
Using sin trigonometric identities.
sin C = 15/30
Simplify the fraction
sin C = 1/2
Take inverse trigonometry
C = \(sin^{-1}(1/2)\)
C = \(sin^{-1} sin ~30\)
C = 30°
Thus,
The measure of the angle is:
m∠A = 66.8°
m∠C = 30°
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ4
I need help with this math question it would be greatly appreciated.
Answer
equation of L₁ is y = 2x - 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given L₂
x + 2y = 3 ( subtract x from both sides )
2y = - x + 3 ( divide through by 2 )
y = - \(\frac{1}{2}\) x + \(\frac{3}{2}\) ← in slope- intercept form
with slope m = - \(\frac{1}{2}\)
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{2} }\) = 2
slope of L₁ = 2 and passes through (3, - 1 ) , then
y = 2x + c ← is the partial equation of L₁
to find c substitute (3, - 1 ) into the partial equation
- 1 = 6 + c ⇒ c = - 1 - 6 = - 7
y = 2x - 7 ← equation of L₁
Aaron had $22 to spend on 4 beakers for his science class. After buying them, Aaron had $2 left. How much did each of the beakers cost?
Answer:4
Step-by-step explanation:22-4=18-4=14-4=10-4=6=2
A pitcher throws a softball toward home
plate. When the ball hits the catcher's mitt, its
horizontal velocity is 32 meters/second. The
softball's velocity goes to 0 meters/second in
0.8 seconds when caught. If the softball has
a mass of 0.2 kilograms, what's the force of
the impact? Use F= ma, where
The force of impact given that the ball was caught for 0.8 s is – 8 N
Data obtained from the question Initial velocity (u) = 32 m/sFinal velocity (v) = 0 m/sMass (m) = 0.2 KgTime (t) = 0.8 sForce (F) = ?How to determine the forceF = m(v – u) / t
F = 0.2(0 – 32) / 0.8
F = (0.2 × – 32) / 0.8
F = – 8 N
Learn more about momentum:
https://brainly.com/question/250648
#SPJ1
Cual es el área de un círculo diámetro mide 20 centímetros?
Answer:
El área de un círculo se puede calcular utilizando la fórmula A = πr², donde r es el radio del círculo. Como el diámetro del círculo es de 20 cm, el radio será la mitad de ese valor, es decir, 10 cm. Por lo tanto, el área del círculo sería:
A = πr²
A = π(10 cm)²
A = π(100 cm²)
Aproximadamente, el área es de 314,16 cm².
Solve the equation:
10x+2(x-6)=3(4x-4)
Answer:
Infinite solutions
Step-by-step explanation:
First, distribute the values to the parentheses by multiplying the number on the outside by everything on the inside:
2(x-6) = 2x - 12
3(4x-4) = 12x - 12
Rewrite the equation with your new numbers:
10x + 2x - 12 = 12x - 12
Add like terms on both sides:
10x + 2x = 12x
Simplify:
12x - 12 = 12x - 12
Because the values on both sides of the equation are the exact same, there are infinitely many solutions. Any number substituted for x would make this equation true.
A company uses a coding system to identify its clients. each code is made up of two letters and a sequence of digits, for example ad108 or rr45789. the letters are chosen from a, d, r, s and i. letters may be repeated in the code. the digits 0 to 9 are used , but no digit may be repeated in the code. how many different clients can be identified with a coding system that is made up of two letters and two digits?
The correct answer is option 3: 2250. To calculate the number of different clients that can be identified with a coding system we need to multiply the number of options for each component.
For the two-letter component, there are five options (A, D, R, S, U) that can be chosen for each letter. Since repetition is allowed, there are 5 choices for the first letter and 5 choices for the second letter. Therefore, there are 5 x 5 = 25 possible combinations of two letters.
For the two-digit component, there are 10 options (0-9) for the first digit. Since no digit can be repeated, there are 9 options for the second digit (one less than the available options). Therefore, there are 10 x 9 = 90 possible combinations of two digits.
To calculate the total number of different clients that can be identified, we multiply the number of options for the two-letter component (25) by the number of options for the two-digit component (90). This gives us a total of 25 x 90 = 2250 different clients that can be identified with the coding system.
#A company uses a coding system to identify its clients. Each code is made up of two letters and a sequence of digits, for example AD108 or RR45789 The letters are chosen from A;D; R; S and U. Letters may be repeated in the code. The digits 0 to 9 are used, but NO digit may be repeated in the code. The number of different clients that can be identified with a coding system that is made up of TWO letters and TWO digits is: 1. 2230 2. 2240 3. 2250 4. 2210 22
Learn more about combinations here:
brainly.com/question/20211959
#SPJ11
A table of equivalent ratios is given.
What is the missing number in the table?
Answer:
It's 30
..................
they all are equal to 1:3
so 90/3=30
answer is 30 !
Twenty times the square of a non-zero
number is equal to 20 times the number.
008
Clear all
What is the number?
Enter the correct answer.
DONE
Therefore , the solution of the given problem of unitary method comes out to be 1 is the result.
A unitary method is what?The goal may be achieved by using extant variables, this usual convenience, or all crucial elements from the original Diocesan malleable study that followed a particular methodology. Both crucial elements will surely miss the statement if the term expression confirmation result fails to occur, but if it does, it then turns into possible to contact the entity again.
Here,
Let's begin by constructing the equation:
=> 20x² = 20x
20 divided by both parts results in:
=> x² = x
The solution can now be rearranged to yield:
=> x² - x = 0
Factoring x out results in:
=> x(x - 1) = 0
Therefore, x = 0 and x = 1 are the answers to the problem. The only correct response is x = 1 because the fact that the number is non-zero is a known. Thus, 1 is the result.
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1
Subway creates a paid promotion featuring a different 6-inch sub of the day each day of the week. The sub of the day is only $3. 50. Subway utilizes the radio to spread the word. Which promotion method is subway using?.
Based on the information provided, the promotion method subway is using is sales promotion.
What is promotion?It is a marketing tool that involves letting know potential customers about a product that a company wants to sell.
What are the promotion methods?Most common methods include:
Direct selling.Public relations.Sales promotion.What is sales promotion?This involves promoting or advertising products through sales, which means customers are offered special discounts or lower prices. This is the method used by the subway because the sub of the day is a sales.
Learn more about sales in: https://brainly.com/question/15375944
The left and right page numbers of an open book are two consecutive integers whose sum is 321
Find these page numbers.
Answer:
160 and 161
Step-by-step explanation:
x is the first page and x + 1 is the second page
combine them and you get 2x + 1
2x +1 = 321
this simplifies to
2x = 320
divide by 2
320 = 160
give me brainliest
A) slope = 4 and y - intercept = 3
B) slope = 3 and y - intercept = 4
C) slope = 4 and y - intercept = 5
D) slope = 5 and y - intercept = 4
Answer: The answer is A
Step-by-step explanation:
The y intercept is 3 because on the graph when x is equal to 0 y is equal to 3
The slope of the line is 4.
The y-intercept of the line is 3.
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
We can use the slope-intercept form of a linear equation to find the equation of the line that passes through the given points, which has the form y = mx + b, where m is the slope of the line and b is the y-intercept.
To find the slope, we can use the formula:
\(m = (y_2 - y_1)/(x_2 - x_1)\)
where (x_1, y_1) and (x_2, y_2) are the coordinates of the two points on the line.
Substituting in the given values, we get:
m = (-1 - 3)/(-1 - 0)
m = -4/-1
m = 4
The slope of the line is 4.
To find the y-intercept, we can substitute the slope and one of the points into the slope-intercept form and solve for b.
Using the point (0, 3), we get:
y = mx + b
3 = 4(0) + b
b = 3
Therefore, the y-intercept of the line is 3.
So the equation of the line is y = 4x + 3.
Thus,
The slope of the line is 4.
The y-intercept of the line is 3.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ2
Eight identical lights are connected in series across a 110-V line. What is the voltage across each bulb? If the current is 0.56A , what is the resistance of each bulb? If the current is 0.56A , what is the power dissipated in each?
The resistance of each bulb that is connected in series with a 110 V line is 24.55 Ω with a 13.75 V Voltage difference across each bulb. The power dissipated in each bulb is 7.7 W, if 0.56 A current flows through them.
The voltage across 8 identical bulbs is 110 V
Since they are connected in a series and identical, the Voltage difference across each bulb is \(\frac{110}{8}\) V which is 13.75 V
According to the question,
The current flowing through the bulb = 0.56 A
So according to Ohm's Law,
V = IR
13.75 = 0.56 * R
R = 24.55 Ω
The power dissipated in each bulb can be calculated as
P = VI
P = 13.75 * 0.56 = 7.7 W
Learn more about Ohm's Law:
https://brainly.com/question/19892453
#SPJ4
In summary, the voltage across each bulb is 13.75V, the resistance of each bulb is 24.55Ω, and the power dissipated in each bulb is 7.7W.
When eight identical lights are connected in series across a 110-V line, the voltage across each bulb will be 110/8 = 13.75 V.
To find the resistance of each bulb, we can use Ohm's law, which states that resistance is equal to voltage divided by current (R = V/I). Therefore, the resistance of each bulb is 13.75/0.56 = 24.55 ohms.
To find the power dissipated in each bulb, we can use the formula P = VI, where P is power, V is voltage, and I is current. Therefore, the power dissipated in each bulb is 13.75 x 0.56 = 7.7 watts.
To find the voltage across each bulb, divide the total voltage by the number of bulbs:
Voltage across each bulb = Total Voltage / Number of Bulbs = 110V / 8 = 13.75V per bulb
Next, use Ohm's Law to find the resistance of each bulb:
Resistance (R) = Voltage (V) / Current (I) = 13.75V / 0.56A = 24.55Ω per bulb
Finally, find the power dissipated in each bulb using the formula:
Power (P) = Voltage (V) x Current (I) = 13.75V x 0.56A = 7.7W per bulb
To learn more about voltage visit;
https://brainly.com/question/29445057
#SPJ11
B. Determine the missing side! 2cm 2) A? 4cm B 4cm
Answer:2cm
Step-by-step explanation:
when both B and A is a square and each side of a square is equal. so, missing siide is 2.
An object was launched from the ground. The graph below shows the path that the object took. Use the graph to answer questions 9-10.
What is the domain?
What is the range?
Answer:
See below ~
Step-by-step explanation:
Domain
Range of x values in the graphIt is from 0 to 4⇒ 0 ≤ x ≤ 4Range
Range of y values in the graphIt is from 0 to 64⇒ 0 ≤ y ≤ 64Answer:
range is 4 domain is 64 i think
Step-by-step explanation: