The length of segment AY is 16.7 ft if the length of segment BC is 16.7 ft
How to determine the length of the side length AYFrom the question, we have the following parameters that can be used in our computation:
BC = 16.7 ft
The measures of the angles are not given
However, the marks on the side lengths imply that:
The points A, B and C divides the line segments XY, XZ and YZ into equal segmentsThe parallel segments are equal segmentsUsing the above as a guide, we have the following:
AY = BC
This is because these segments are parallel segments
Recall that parallel segments are equal segments
Substitute the known values in the above equation, so, we have the following representation
AY = 16.7
Hence, the length of AY is 16.7 ft
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Two rectangles of the same shape have areas of 676 and 3,457 square centimetres. If the shorter side of the larger rectangle is 41 centimetres, what are the dimensions of the smaller one?
The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.
Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).
We know that the area of the smaller rectangle is 676 square centimeters:
L * W = 676 ----(1)
We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.
The area of the larger rectangle is 3457 square centimeters:
41 * H = 3457 ----(2)
Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.
In order to find H, we can use equation (2):
H = 3457 / 41
H ≈ 84.22
Now we can substitute this value of H into equation (1):
L * W = 676
We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.
Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676
By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:
L = 13
W = 52
Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.
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Miguel plots points A, B, and C in the coordinate plane.
A. What is the distance between points A and B? Explain your reasoning.
B. Is (gif triangle) ABC an equilateral triangle? Explain your reasoning.
is △ABC equilateral? well, we dunno, however let's check for all sides' length.
\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-2}) ~\hfill AB=\sqrt{(~~ -6- (-3)~~)^2 + (~~ -2- 2~~)^2} \\\\\\ ~\hfill AB=\sqrt{( -3)^2 + ( -4)^2} \implies AB=\sqrt{ 25 }\implies \boxed{AB=5}\)
\(B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{0}~,~\stackrel{y_2}{-2}) ~\hfill BC=\sqrt{(~~ 0- (-6)~~)^2 + (~~ -2- (-2)~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 6)^2 + ( 0)^2} \implies BC=\sqrt{ 36 }\implies \boxed{BC=6} \\\\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad A(\stackrel{x_2}{-3}~,~\stackrel{y_2}{2}) ~\hfill CA=\sqrt{(~~ -3- 0~~)^2 + (~~ 2- (-2)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( -3)^2 + (4)^2} \implies CA=\sqrt{ 25 }\implies \boxed{CA=5}\)
well, not quite.
Application of Trigonometric Ratios:
Exercise:
Calculate the height of a tree knowing that if we stand 8 meters from the base of the trunk, we see the top of its crown at an angle of 60° and our height is 1,60 meters.
9514 1404 393
Answer:
15.46 m
Step-by-step explanation:
Side ratios of a 30°-60°-90° triangle are 1 : √3 : 2. That is, the height of the tree above eye-height is √3 times the distance from the trunk. The top of the crown will be at a height of ...
1.6 m + (8 m)√3 ≈ 15.46 m
a researcher wants to know the average growth of a certain plant one week after germination. The greenhouse where he grows plants has 12 trays with 36 plants in each tray l. He picks one tray from the greenhouse and measures the heights of each plant. The results are shown in the dot plot.
When analyzing the data, he sees that the heights of the plants are clustered around in 2 in. Could this be the result of bias in his sampling method? Explain.
Answer:
Sampling bias can occur when the procedure leads to a favoring of one population over another.
When the researcher wants to know on average how a certain plant will grow; given that they have been germinated for a week's time. By oy using a certain plant, assuming t
Answer:
Yes, he sampled plants from only one tray, so the sample is not random.
Which set of numbers can represent the lengths of the sides of a triangle? A. {1,2,3} B. {3,5,7} C. {3,9,14} D. {4,4,8}
The set of numbers that can represent the lengths of the sides of a triangle are 3,5,7. That is option B.
What is a triangle?Triangle is defined as a type of polygon that has three sides in which the sum of both sides is greater than the third side.
That is to say, 3+5 = 8 is greater than the third side which is 7.
Therefore, the set of numbers the would represent a triangle are 3,5,7.
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This is due in like a hour please help!
Answer:
i think the fourth one is equvilent ratio
Step-by-step explanation:
Suppose Winston's annual salary as an accountant is $60,000 and his financial assets generate $4,000 per year in interest. One day, after deciding to be his own boss, he quits his job and uses his financial assets to establish a consulting business, which he runs out of his home. He outlays $8,000 in cash to cover all the costs involved with running the business and earns revenues of $150,000. What is Winston's economic profit?
$138,000
$150,000
$142,000
$78,000
Winston's economic profit based on the forgone salary of $60,000, and the revenue of $150,000 is $78,000. The correct option is therefore;
$78,000
What is an economic profit?An economic profit is a profit that accounts for both the explicit and implicit costs of a business. The economic profit is obtained from the difference between the total revenue and the costs including the opportunity costs.
The annual salary of Winston as an accountant = $60,000
The amount Winston's financial asset generates = $4,000 per year
The cost of running the business = $8,000
The amount Winston earns as revenue = $150,000
Therefore;
Winston's opportunity cost which is the forgone alternative, is the amount he earns as an accountant = $60,000
The interest of $4,000, earned from the financial asset = The cost of using the financial asset for the business
The cost of running the business = $8,000
The total cost = Opportunity cost + Cost of making use of the financial asset + The business running cost
The total cost = $60,000 + $4,000 + $8,000 = $72,000
The economic profit = The total revenue - The total cost
Therefore;
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Does 17 divide each of these numbers?
a)68 b) 84 c) 357 d) 1001
Hello !
68/17 = 4
=> yes for 68
84/17 = 4.941...
=> no for 84
357/17 = 21
=> yes for 357
1001/17 = 58.882...
=> no for 1001
Plssss help
According to a personal trainer's study, the equation yˆ=8.6067x+116.6567 models the average number of calories burned by a 160 lb individual, where x is amount of time spent weight lifting, in minutes, given the individual started the workout with a 10-minute jog.
According to this regression equation, what is the approximate calories burned for an individual who spent 30 minutes weight lifting?
Answer:
An individual who spent 30 minutes weight lifting will burn approximately 142.4768 calories.
Step-by-step explanation:
Given;
yˆ = 8.6067x + 116.6567 ............................... (1)
Where;
yˆ = The average number of calories burned by a 160 lb individual
x = Amount of time spent weight lifting
Since x is amount of time spent weight lifting, this implies that for an individual who spent 30 minutes weight lifting, x = 30
Substituting x = 30 into equation (1), we have:
yˆ = (8.6067 * 30) + 116.6567
yˆ = 25.8201 + 116.6567
yˆ = 142.4768
Therefore, an individual who spent 30 minutes weight lifting will burn approximately 142.4768 calories.
Change 3/4 to sixteenths=
Answer:
3/4 = 12/16
Step-by-step explanation:
3/4 x 4/4 = 12/16
Answer:
3/4 = 12/16
Step-by-step explanation:
16/4 = 4
4*3 = 12
then:
3/4 = 12/16
Which value of c is in the domain of f(x)
The value of c in the domain of f(x) depends on the specific function f(x) and its domain.
In order to determine which value of c is in the domain of f(x), we need to know the function f(x) and its domain. A domain is the set of all possible input values of a function.
If a value of c is in the domain of f(x), then we can plug it into the function and get a valid output.
In general, a function f(x) can have a restricted domain due to certain conditions or limitations. For example, a square root function cannot have negative values under the radical because that would result in an imaginary number.
Thus, the domain of a square root function is restricted to non-negative values.
In order to find the domain of a function, we need to consider any restrictions on the input values. For example, if we have the function f(x) = 1/x, we cannot plug in x = 0 because that would result in division by zero, which is undefined.
Therefore, the domain of f(x) is all real numbers except 0. We can write this as D(f) = {x : x ≠ 0}.Once we know the domain of f(x), we can check which value of c is in the domain by seeing if it satisfies the condition.
For example, if the domain of f(x) is D(f) = {x : x > 2}, then c = 3 is in the domain because 3 is greater than 2. On the other hand, c = 1 is not in the domain because 1 is less than 2.
Therefore, the value of c in the domain of f(x) depends on the specific function f(x) and its domain.
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PLZZ I need hel if i dont get this done im stuck in the house for a 3 day weekend
Answer:
second one is p^3
Step-by-step explanation:
p^2 is p * p so multiplying another p is p^3
What is the proportion for this problem?
It is already solved, just need the proportion.
Will mark brainliest to the correct answer!
Answer:
1/2
Step-by-step explanation:
Given the equation
6/12 = x/8
We are to find the proportion
Cross multiply
12 * x = 8 * 6
12x = 48
x = 48/12
x = 4
Hencethe value of x is 4
Substitute into the expression to get the proportion
6/12 = 4/8
In its lowest term;
6/12 = 4/8 = 1/2
Hence the required proportion is 1/2
I NEED HELP PLZ!!! Let A=[−1 2 4 0] and v=[8 6] . Which of these is equivalent to Av?
Answer:
D. (16, 16)
Step-by-step explanation:
[(-1×8)+(4×6) , (2×8)+(0×6)]
[(-8 + 24) , (16 + 0)]
= [16 , 16]
(Z+1)^7 + (Z+1)^7 = 0
it’s complex numbers
Therefore, the solution to the equation \((z + 1)^7 + (z + 1)^7 = 0\) in the complex number system is z = -1.
To solve the equation\((z + 1)^7 + (z + 1)^7 = 0\) in the complex number system, we can simplify the equation and then find the values of z that satisfy it.
Let's start by simplifying the equation:
\((z + 1)^7 + (z + 1)^7 = 0\)
We notice that both terms on the left side of the equation are identical, so we can rewrite it as:
2(z + 1)^7 = 0
Now, we can divide both sides of the equation by 2 to isolate the term\((z + 1)^7:\)
\((z + 1)^7 = 0\)
To find the solutions, we set each factor of \((z + 1)^7\)equal to zero. In other words, we set the exponent 7 to be a multiple of 2:
z + 1 = 0
From this equation, we find that z = -1.
It's important to note that complex numbers have a real and imaginary part.
In this case, since the equation simplifies to a real number, the solution is a real number (-1).
If the equation involved complex terms or the roots of unity, the solutions could include complex numbers as well.
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What is the scale factor? Does the transformation represent an enlargement or reduction?
The scale factor is equal to 1.5 and it is a transformation that represents an enlargement.
What is scale factor?In Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (original figure):
Scale factor = Dimension of image (new figure)/Dimension of pre-image(original figure)
Substituting the given parameters into the scale factor formula, we have the following;
Scale factor = 9/6
Scale factor = 1.5
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sin theta =20 degrees opposite=45 find hyp
By trigonometric functions, the length of the hypotenuse is approximately equal to 131.571.
How to calculate the hypotenuse of a right triangle by trigonometric functions
In this problem we find the measure of an angle and its opposite side from a right triangle, whose representation is shown in the image attached below.
Trigonometric functions are transcendent expression that relates an angle of the right triangle with two sides of the same. We can find the measure of the hypotenuse by the definition of the sine function:
sin θ = h / r
Where:
θ - Angle of the right triangle.h - Length of the side opposite to the angle.r - Length of the hypotenuse.If we know that h = 45 and θ = 20°, then the length of the hypotenuse is:
r = h / sin θ
r = 45 / sin 20°
r ≈ 131.571
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Evaluate.
18-2³ 0
I don’t understand it and I need help
- Draw A' the symmetric of A with respect to point O
- Draw A' the symmetric of A with respect to (d)
Answer:
how am i supposed to answer this? draw a line lol
Step-by-step explanation:
(0, 15)
(15, 0)
(4.8)
(10.0)
Which ones are solutions
Answer:
For which questions dud
Solve using elimination. 3x - 2y = 10 3x - y = 17
The first step is to rewrite the equations in standard form by subtracting the constant from each side.
What is standard form ?Standard form is a type of numerical notation used to express large numbers in a concise form. It is based on powers of 10, which means each place value of a number is multiplied by a power of 10. Standard form is typically used in scientific and mathematical applications, and it is also known as scientific notation. To write a number in standard form, the number is written as a coefficient, followed by the base of 10, raised to an exponent.
3x - 2y = 10 becomes 3x - 2y - 10 = 0
3x - y = 17 becomes 3x - y - 17 = 0
Let's multiply the first equation by 2 and the second equation by 3.
2(3x - 2y - 10) = 0
3(3x - y - 17) = 0
6x - 4y - 20 = 0
9x - 3y - 51 = 0
The next step is to add the two equations together.
6x - 4y - 20 + 9x - 3y - 51 = 0
15x - 7y - 71 = 0
The last step is to solve for the variable.
15x - 7y = 71
15x = 71 + 7y
x = (71 + 7y)/15
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Select the statement that describes this expression: 8 + one half x (6 – 2) – 1.
Answer:
B).
Step-by-step explanation:
Add 8 to half the difference of 6 and 2 then subtract 1.
Answer:
I apologize but I haven't worked for an answer. but my mind is, what is the point of this question? everyone is familiar with the "when am I ever going to use this in life and why do I need to learn this?" but this is a whole new level of w t f.
Is this graph a function? Explain why or why not.
hpe it helps have a nice dayyy
In an examination, 500 students appeared. Out of these students; 25 % got first division, 35 % got second division and 5 students failed, find the number of students who just passed and didn't get any division.
The number of students who just passed and didn't get any division is 195.
How to find the number of students got division?We can start by finding the number of students who got first or second division:
Number of students who got first division = 25% of 500 = 0.25 * 500 = 125Number of students who got second division = 35% of 500 = 0.35 * 500 = 175Next, we can find the total number of students who got a division:
Total number of students who got a division = Number of students who got first division + Number of students who got second division
= 125 + 175 = 300
Now, we can find the number of students who failed:
Number of students who failed = 5
Finally, we can subtract the number of students who got a division and the number of students who failed from the total number of students to find the number of students who just passed and didn't get any division:
Number of students who just passed and didn't get any division = Total number of students - Number of students who got a division - Number of students who failed
= 500 - 300 - 5
= 195
Therefore, the number of students who just passed and didn't get any division is 195.
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Subtract.
1 2/5−(−3/5)
Enter your answer, in simplest form, in the box.
HELP PLEASE CYRIN RN :'( \_(-_-)_/
according to the law of sines, which of the following is equal to sin(B)/b
Answer:
\(\frac{sin(A)}{a}\)
100 Points! Multiple choice Geometry question. Photo attached. Thank you!
Answer:
2. C. 50.3 ft²
3. A. 75.4 ft²
Step-by-step explanation:
The lateral surface area of a cylinder is the area of the curved surface of the cylinder. It is calculated by multiplying the circumference of the base by the height of the cylinder. The formula for the lateral surface area of a cylinder is:
Lateral Surface Area = 2πrh
Where:
r is the radius of the baseh is the height of the cylinderThe total surface area of a cylinder is the area of the lateral surface plus the area of the two circular bases. The formula for the total surface area of a cylinder is:
Total Surface Area = 2πrh + 2πr^2
Where:
r is the radius of the baseh is the height of the cylinder2.
r=2 ft
h=4 ft
Lateral Surface Area = 2πrh=2*22/7*2*4=50.3 ft²
3.
Total Surface Area = 2πrh + 2πr^2=2*22/7*2*4+2*22/7*2
=50.3+25.1=75.4 ft²
Select the correct answer from each drop-down menu.
A cylinder has a diameter of 10 units.
Its radius is
units. If its height is twice its radius, its height is
units. Its volume is about
cubic units
Answer:
1st blank: 5
2nd blank: 10
3rd blank: 785
Step-by-step explanation:
the radius of a circle or the base/top of a cylinder is measured from the center to the side of the face, where as the diameter is measured from side to side through the middle, so the diameter will always be twice the radius of the same circle, meaning if the diameter is 10 units, then the radius will be half that, 5 units, then all we do is double the radius like the question says to get the height (NOTE this is NOT part of any formula for finding any dimensions for any shape and is specific to this question) then all we do to find the volume is use the formula below
V = (pi) (r^2) h
plug the radius or 'r' in as well as height or 'h' in the equation and solve
PLEASE NOTE: the question is asking for an APROXAMATE so your answer should be close to one of the drop down options by about >1 integer, but will not be exact
0.002 inches
0.202 inches
0.022 inches
0.02 inches
Which of the following shows these amounts in order from LEAST to GREATEST?
Answer:
0.0202
0.022
0.02
0.002
Step-by-step explanation: I am 5 million iq brainlist pls
-3y-5=10 Show your work please, thank you.
Answer:
-5
Step-by-step explanation:
-3y = 10 + 5
-3y = 15
y = - 5
Answer:
hi
Step-by-step explanation:
-3y-5=10
-3y=10+5
-3y=15
y=15/ -3
y= -5
hope it helps
have a nice day