Using the dimensions of a reduced rectangle and one given measurement of an original rectangle:
Set up a proportion using the corresponding partsSolve the proportion to find the missing measureWhat is Reduction?Reduction is a type of dilation that reduces the size of an original figure to form a new figure that is similar to the original. The corresponding lengths of both figures are therefore proportional.
Assuming the dimensions of the reduced rectangle are 10 cm by 4 cm, and the length of the original rectangle is given as 8 cm, to find the missing measure (x), do the following:
Set up a proportion using the corresponding parts
10/8 = 4/x
Solve the proportion using cross products to find x:
10x = (8)(4)
10x = 32
x = 32/10
x = 3.2 cm
The missing length is 3.2 cm.
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Answer:
Using the given measurements of both figures, set up a proportion that has the corresponding parts in the same position. Then solve the proportion using cross products to find the value for the unknown.
Step-by-step explanation:
Set up a proportionCorresponding sides are in the same place in the proportion.Use cross products in the proportion to solve for the unknown.Evaluate 3x for x = -2, x = 1, and x = 3.
A) 1/9, 3,27
B) ¹/3, 0, 9
C) 9,3, 27
D) 1/9, 9, 27
Answer:
A) 1/9, 3, 27
Step-by-step explanation:
i think you mean 3^x (and not 3x).
because otherwise none of the answer options withdraw makes any sense.
3^-2 = 1/(3²) = 1/9
3¹ = 3
3³ = 27
Bob grows tomatoes in his garden. He picked four tomatoes, and weighed every possible grouping of three tomatoes. The results are 900 grams, 1400 grams, 1600 grams, and 1800 grams. What is the weight of the biggest tomato?
Answers could be 600, 800, 900, 1000, 1200
Answer:
1000.
Step-by-step explanation:
We need 4 weights where 3 of them add up to
900, 1400, 1600 or 1800g.
Not sure of the method for doing this!
Lets assume that the answer is 1000 g.
Then the 3 that make 1800 could be
1000 500 and 300
- then to make 900 we need a 100g tomato giving:
1000 500 300 and 100 grams
So the 1400 will be the 1000, 300 and 100 tomato
and the 1600 will be 1000, 500 and 100.
That seems to fit !!
x-15/3 = 18x. How to solve this question? I will mark the first answerer as brainliest.
90 pointssss!Please help! On parts a, b, and c. Thank you!
URGENT PLEASE ANSWER THESE
The distance of the cruise liner from me 20 seconds later will be; 2600ft.
How far will the cruise liner be in 20 seconds?a) Since, the speed of the liner is 30ft/sec, it follows that after 20secs, the liner would cover; (30×20)ft = 600ft more; and consequently, the distance is now; √(2000²+600²) = ft.
b) For the boat to be 2500 ft away given the speed 30ft per sec; Time taken = 2500/30 = 83.3seconds. Hence, the boat will be more than 2500 feets away after 2 minutes.
c) If the boat's distance is 2000ft from me; it follows that the distance covered is 10 seconds is; √(2000²-1500²) = 1322.9ft
Hence, the speed to attain this distance is; 1322.9/10 = 132.29ft/sec.
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Agents J and K work in a long hallway with 4000 equally-spaced, consecutive offices. The agents decide to walk toward each other so they can meet and have lunch together. Agent J has recently been relocated from office 2013 to office 1. His former office neighbor, Agent K, is still in office 2014. Assuming that Agent J can walk at a rate of 25 offices per minute, and Agent K walks at 36 offices per minute, what office will they meet at if they leave at the same time
At office 826 they will meet if they leave at the same time.
How many offices are there between agents J and K?It is given that,
Agent J has recently been relocated from office 2013 to office 1. But his former office neighbor, Agent K is still in office 2014.
So, there are (2014 - 1) - 1 = 2012 offices in between them.
How much time is required for them to walk the whole distance?It is given that,
Agent J can walk at a rate of 25 offices per minute, and Agent K walks at 36 offices per minute.
So,
Per minute they cross
= 25 + 36
= 61 offices.
Thus, the time required for crossing all the 2012 offices is,
= 2012/61
= 32.9 ≅ 33 minutes
Then,
They will meet at
1 + 25(33) = 826 office (or)
2014 - 36(33) = 826 office (Negative since opposite direction)
Therefore, both of them meet at office 826.
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URGENT PLEASE ANSWER THESE QUESTIONS
a) The fire is out of the reach of helicopter 1.
b) Only helicopter 3 can be sent to stop the fire.
What helicopter does stop the fire?
We have both the location of the fire and the initial position of the three helicopters set on a Cartesian plane. The locations are listed below:
Fire - (x, y) = (- 3, - 5)Helicopter 1 - (x, y) = (1, 4)Helicopter 2 - (x, y) = (- 2, 3)Helicopter 3 - (x, y) = (4, - 2)The distance is found by the straight line distance formula, an application of Pythagorean theorem:
a) [tex]d = \sqrt{[1 - (- 3)]^{2}+[4-(-5)]^{2}}[/tex]
[tex]d = \sqrt{4^{2}+9^{2}}[/tex]
[tex]d = \sqrt{97}[/tex]
d ≈ 9.849
The fire is out of the reach of helicopter 1.
b) Helicopter 2
[tex]d = \sqrt{[- 2 - (- 3)]^{2}+[3 - (- 5)]^{2}}[/tex]
[tex]d = \sqrt{1^{2}+8^{2}}[/tex]
[tex]d = \sqrt{65}[/tex]
d ≈ 8.062
Helicopter 3
[tex]d = \sqrt{[4 - (- 3)]^{2}+ [- 2 - (-5)]^{2}}[/tex]
[tex]d = \sqrt{7^{2}+3^{2}}[/tex]
[tex]d = \sqrt{58}[/tex]
d ≈ 7.616
Only helicopter 3 can be sent to stop the fire.
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In AON networks, a(n) __________ is a point where one or more lines (arrows) begin or terminate, commonly used for depicting an event or activity.
In AON networks, "node" is a point where one or more lines (arrows) begin or terminate, commonly used for depicting an event or activity.
What is Activity-on-Node (AON) diagram?Scheduling logic diagrams of the most fundamental kind. Any activity on the schedule that has no float; Total Float = 0; is considered a critical activity.
Between the project's start and finish, there are vital activity(s) that must be completed continuously. This is known as the critical path.
The importance of AON diagram are-
Because it helps identify the essential path, the arrow diagram is crucial for the project timeline. The critical route is used to determine the most effective schedule while still achieving the objectives required for a project to be successful. The critical path indicates the longest time of every dependent task.It is possible to organize tasks and determine not only when they must be finished but also which ones must be performed and which ones can be skipped while still reaching the project's goals and objectives by creating a schedule. An arrow diagram is essential because of this. It results in the project's ideal schedule.To know more about the AOA and AON networks, here
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using a calculator, or otherwise,determine the value of(12.3)² - (0.246÷3) and write the answer
(i)exactly
(ii)correct to two significant figures
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Assuming the equation is:}[/tex]
[tex]\mathsf{(12.3)^2 - (0.246 \div 3)}[/tex]
[tex]\huge\textbf{If so, let's start simplifying it:}[/tex]
[tex]\mathsf{(12.3)^2 - (0.246 \div 3)}[/tex]
[tex]\mathsf{= (12.3\times 12.3) - (0.246 \div 3)}[/tex]
[tex]\mathsf{= (151.29) - (0.246 \div 3)}[/tex]
[tex]\mathsf{= 151.29 - 0.246 \div3}[/tex]
[tex]\mathsf{= 151.29 - 0.082}[/tex]
[tex]\mathsf{= 151.208}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\large\boxed{\mathsf{Exactly \rightarrow} \frak{\ 151.208\ } \& \textsf{ Corrected to two significant figures}\rightarrow \frak{150 \ or \ 151}}\large\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Richard is able to read 40 pages in 100 minutes the reading speed of James is ____ pages per minute
Answer:
0.4 pages per minute
Step-by-step explanation:
40/100 = .4
PLEASE HELP URGENT!!!
From-
~xXIndieKidXx~
Answer:
C. 9
Step-by-step explanation:
The cubed root of 729 is the number that is multiplied 3 times to get 729. In this case, it's 9.
9*9*9 = 81*9
81*9 = 729
for pet food: how would adopting a process costing system benefit the managers responsible for the production of this product? list two specific decisions you think a process costing system could help these managers make. identify and describe two or three processes involved in making this product. for each, describe the direct materials used and at least one conversion cost associated with the process. explain how managers would be able to estimate the cost of the units being processed at a given point in time.
Job order costing also gives managers the advantage of being able to keep track of individuals' and teams' performance in terms of cost control, efficiency, and productivity. A disadvantage of job order costing is that employees are required to track all materials and labor used during the job.
With the standardization of products, managers track performance, productivity, and costs over time. Process costing allows for greater flexibility when making changes in the production process. Managers can target specific departments' processes or materials to lower production costs.
With process costing, companies track the flow of costs from department to department, rather than tracking costs for each individual item. Each department adds direct labor and manufacturing overhead costs, plus the cost of any raw materials it uses.
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Drag each number to the correct location on the table. classify the real numbers as rational or irrational numbers.
The rational numbers are -5/250, [tex]\sqrt{400}[/tex] ,and irrational numbers are 5.012121212......., [tex]\sqrt[3]{30}[/tex] , 0.01562138411........,[tex]\sqrt{1000}[/tex]
Given six numbers:5.012121212..,[tex]\sqrt{1000}[/tex],[tex]\sqrt[3]{30}[/tex], -5/250, 0.01562138411.....,[tex]\sqrt{400}[/tex].
We have to identify which numbers are rational and which are irrational numbers.
Rational numbers are those numbers which can be written in p/q form where q cannot be equal to zero because if q is zeo then the value of p/q will be infinity.
Irrational numbers are those numbers which cannot be written in p/q form.
First number :5.0121212121....
In the above numbers 12 is repeating next to the decimals. So it is a irrational numbers.
Second number:[tex]\sqrt{1000}[/tex]
If we solve the above number we will find it 31.6227766017 . It is cannot be expressed in p/q form, so it is irrational number.
Third number:[tex]\sqrt[3]{30}[/tex]
The abov number is irrational number as we cannot express it in p/q form.
Fourth number:-5/250
The value of above number is -0.02.It can be in the form of -2/100. so it is rational number.
Fifth number:0.01562138411........
Because the digits are repeating after decimals so it is irrational number.
Sixth number:[tex]\sqrt{400}[/tex]
The value of above number is 20, so it is rational number.
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Question is incomplete as it should include figure.
Does The slopes of parallel lines have a product of -1.
Answer:
No. The slopes of parallel lines are equal.
Step-by-step explanation:
If you have two lines and their slopes are the same, then the lines are parallel.
If the two lines have slopes that are negative reciprocals (opposite signs and flipped over) then when you multiply the slopes together, you get -1... THOSE lines are perpendicular (they make right angles or make 90° angles or square angles).
Lines in the same plane that have different slopes will intersect at one point.
URGENT!!! Write a compound interest function to model the following situation. Then, find the balance after the given number of years.
Answer:
The answer to our question is A = 16,100(1.001)12t; $17,510
Step-by-step explanation:
I hope this helps and have a good day!
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.
The true statement for h regarding the function is that C. h(2) = 16.
How to illustrate the function?From the information given, the function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25.
This illustrates that the range or h has to be less than or equal to 25.
The option that correctly fits this is C.
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Determine the (x, y) coordinates of the vertex of the parabola that represents each of the following functions:
The vertices of the parabolae are:
(h, k) = (- 3, - 1)(h, k) = (1, - 9)(h, k) = (4, 1)(h, k) = (3/4, 9/4)(h, k) = (- 3, 2)(h, k) = (0, 36)(h, k) = (7/2, 9/4)(h, k) = (5, - 1)(h, k) = (1, - 3)(h, k) = (- 1/2, 1)How to find the coordinates of the vertex of a parabola
Parabolae are represented by quadratic equations. In this problem we have parabolae in standard form and we need to determine its vertex form to find the needed information. Now we summarize the forms of quadratic equations:
Standard form
y = a · x² + b · x + c (1)
Vertex form
y - k = C · (x - h)² (2)
Please notice that (x, y) = (h, k) represents the vertex of the parabola.
To change quadratic equations from standard form into vertex form we need to apply algebraic handling:
y = x² + 6 · x + 8
y + 1 = x² + 6 · x + 9
y + 1 = (x + 3)²
(h, k) = (- 3, - 1)
y = x² - 2 · x - 8
y + 9 = x² - 2 · x + 1
y + 9 = (x - 1)²
(h, k) = (1, - 9)
y = - x² + 8 · x - 15
y = - 1 · (x² - 8 · x + 15)
y - 1 = - 1 · (x² - 8 · x + 16)
y - 1 = - 1 · (x - 4)²
(h, k) = (4, 1)
y = - 4 · x² + 6 · x
y = - 4 · [x² - (3/2) · x]
y + (- 4) · (9/16) = - 4 · [x² - (3/2) · x + 9/16]
y - 9/4 = - 4 · (x - 3/4)²
(h, k) = (3/4, 9/4)
y = x² + 6 · x + 11
y - 2 = x² + 6 · x + 9
y - 2 = (x + 3)²
(h, k) = (- 3, 2)
y = - x² + 36
y - 36 = - x²
(h, k) = (0, 36)
y = - x² + 7 · x - 10
y = - (x² - 7 · x + 10)
y + (- 1) · (9/4) = - (x² - 7 · x + 49/4)
y - 9/4 = - (x - 7/2)²
(h, k) = (7/2, 9/4)
y = x² - 10 · x + 24
y + 1 = x² - 10 · x + 25
y + 1 = (x - 5)²
(h, k) = (5, - 1)
y = 2 · x² - 4 · x - 1
y = 2 · (x² - 2 · x - 1/2)
y + 2 · (3/2) = 2 · (x² - 2 · x + 1)
y + 3 = 2 · (x - 1)²
(h, k) = (1, - 3)
y = - 4 · x² - 2 · x
y = - 4 · [x² + (1/2) · x]
y + (- 4) · (1/4) = - 4 · [x² + (1/2) · x + 1/4]
y - 1 = - 4 · (x + 1/2)²
(h, k) = (- 1/2, 1)
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Need Help with this question
Answer:
23/35
Step-by-step explanation:
there's 12 red cards and 23 black cards
total = 35 cards
probability to pick a black card = 23/35
Answer: 23/35
Step-by-step explanation:
Probability is the measure of the likelihood of an event occurring. It is measured by the number of favorable outcomes over the total number of possible outcomes.
Here, the event is a black card being drawn. Since there are 12 + 23 = 35 cards in the deck, there are 35 possible outcomes of what card is picked. Out of those 35 cards, 23 are black, making 23 of the 35 options be the option we want.
23 black cards out of 35 total cards can also be written as [tex]\frac{23}{35}[/tex], which is the probability that a black card is chosen.
Mamadou drove 168 miles in 8 hours. If he continued at the same rate, how long
would it take to travel 126 miles?
With the given rate Mamadou will take 6 hours to travel 126 miles.
What is Unitary method ?In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.
Given that,
The distance travelled in 8 hours is 168 miles.
In order to calculate time for 126 miles, unitary method can be used as,
The time for 168 miles is 8 hours.
Then, the time for 1 mile is 8/168 hours.
Thus, the time for 126 mile is 8/168 × 126 = 6 hours.
Hence, the time taken by Mamadou to travel 126 miles is 6 hours.
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Find the surface area of the composite figure. Round to the nearest tenth if necessary.
By definition of surface area, the composite figure reports an area of 233.6 square centimeters.
How to calculate the surface area of a composite figure
In this question we need to determine the surface area of a composite figure, which is the sum of all the areas of the faces, which are combinations of triangles and quadrilaterals. Now we proceed to calculate the surface area:
A = 2 · (6 cm) · (3 cm) + 2 · (8 cm) · (6 cm) + 2 · (8 cm) · (3.6 cm) + 2 · (8 cm) · (2 cm) + 4 · (1/2) · (3 cm) · (2 cm)
A = 233.6 cm²
By definition of surface area, the composite figure reports an area of 233.6 square centimeters.
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11. Find the slope of the line that passes through the pair of points. (1, 7), (10, 1)
Answer:
m = [tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{1-7}{10-1}[/tex]
m = [tex]\frac{-6}{9}[/tex]
m = [tex]-\frac{2}{3}[/tex]
Answer:
-2/3
Step-by-step explanation:
slope = (y_2 - y_1)/(x_2 - x_1)
slope = (1 - 7)/(10 - 1)
slope = -6/9
slope = -2/3
In the diagram AB/BC = AD/DE
Substitute the known values into the proportion and solve for DE
Answer: 9
Step-by-step explanation:
[tex]\frac{2}[3}=\frac{6}{DE}\\\\\frac{3}{2}=\frac{DE}{6}\\\\DE=9[/tex]
Which of these shapes are congruent
Answer:
Option A is probably the answer
If you have any question please contact me
Answer: A is the answer, should be right
BP = _______ BC = ________ 13. AP = 3.5, PD = 6, PC = 4
Find BP and BC.
The measure of the length BP and BC are 6 and 10 respectively
Circle theoremThe given figure is a circle containing two chords AD and BC. From the given diagram, the following are true
AP = PC
BP = PD
BC = BP + PC
Circle theorem includes the concept of tangents, sectors, angles, the chord of a circle and proofs. A circle is the locus of all points in a plane which are equidistant from a fixed point.
Given the following parameters
AP = 3.5,
PD = 6,
PC = 4
According to the expression above;
BP = PD = 6
BC = BP + PC
BC = 6 + 4
BC = 10
Hence the measure of the length BP and BC are 6 and 10 respectively
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Need help with this,30 points, please help very soon, thanks
A small airplane makes a 2400 kilometer trip in 7.30 hours and makes the returned trip in six hours. If the plane travels at a constant speed wind blows at a constant rate, find the airplanes airspeed and the speed of the wind.
The speed of the airplane is 360 km/h while the speed of the wind is 40 km/h.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let a represent the speed of the airplane and b represent the speed of the wind, hence:
(a + b)6 = 2400
a + b = 400 (1)
Also:
(a - b)7.5 = 2400
a - b = 320 (2)
From eqn 1 and 2:
a = 360 km/h, b = 40 km/h
The speed of the airplane is 360 km/h while the speed of the wind is 40 km/h.
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5 roses in a vase 12 flowers what is the ratio of all flowers in the vase of daisies
The ratio of the total number of flowers in the vase, to the number of daisies in the vase is 12:7.
The number of flowers in the vase = 12 flowers
The number of roses in the vase = 5 roses.
Therefore, the number of daisies in the vase = The number of flowers in the vase - The number of roses in the vase,
or, the number of daisies in the vase = 12 - 5 = 7.
Thus, the number of daisies in the vase = 7.
We are asked to find the ratio of the total number of flowers in the vase, to the number of daisies in the vase.
Thus, the ratio = The number of flowers in the vase/The number of daisies in the vase,
or, the ratio = 12/ = 12:7.
Thus, the ratio of the total number of flowers in the vase, to the number of daisies in the vase is 12:7.
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Zoe says an equilateral triangle is always an acute triangle, but an acute triangle is never an equilateral triangle. Which statement explains whether Zoe is correct or not?
A. Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.
B. Zoe is not correct because equilateral triangles have three acute angles. Acute
triangles have three acute angles, so acute triangles are always equilateral triangles.
C. Zoe is correct because equilateral triangles have three sides of equal length, and acute triangles have three sides of different lengths.
D. Zoe is correct because equilateral triangles have three acute angles. Acute triangles have one acute angle, so an acute triangle cannot be an equilateral triangle.
HELP!
Answer:
Step-by-step explanation:
Discussion
She is correct.
An equilateral triangle is a specific acute triangle. An acute triangle can never be an equilateral triangle because it has 3 unequal angles. Your best choice is likely C, but none of the choices are first rate choices.
Answer: C
HELP HELP HELP
HELP HELP
HELP
(STEP BY STEP)
With some simple rearrangement, we can rewrite the numerator as
[tex]2x^3 - 3x^2 - x + 4 = 2(x^3 - x) - 3x^2 + x + 4 \\\\ ~~~~~~~~ = 2x(x^2-1) - 3(x^2 - 1) + x + 1 \\\\ ~~~~~~~~ = (2x-3)(x^2-1) + x+1[/tex]
Then factorizing the difference of squares, [tex]x^2-1=(x-1)(x+1)[/tex], we end up with
[tex]\dfrac{2x^3 - 3x^2 - x + 4}{x^2 - 1} = \dfrac{(2x-3)(x-1)(x+1) + x+1}{(x-1)(x+1)} \\\\ ~~~~~~~~ = \boxed{2x-3 + \dfrac1{x-1}}[/tex]
An equilateral triangle has a median drawn from one angle to the opposite side. What is the measure of each angle formed by the place where the median meets the vertex?
(Step by step pls)
Worth 20 points
The measure of each angle formed by the place where the median meets the vertex is 30 degrees
How to determine the angle?The median of an equilateral triangle divides the side and the angle into equal parts.
If the angle at the vertex is, the new angle would be
Angle = x/2
The angle at the vertex of an equilateral triangle is 60.
So, we have:
Angle = 60/2
Evaluate
Angle = 30
Hence, the measure of each angle formed by the place where the median meets the vertex is 30 degrees
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make k the subject!