\(\\ \sf\longmapsto 5y+32+7y-14=90\)
\(\\ \sf\longmapsto 12y+18=90\)
\(\\ \sf\longmapsto 12y=72\)
\(\\ \sf\longmapsto y=6\)
m<2=7(6)-14=42-14=28\)The required value of m∠2 would be 30 degrees when the value of y = 6 due to the given pair of angles being complementary.
What are complementary angles?The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles.
We have been given that the pair of angles as
(5y + 32)° and (7y - 14)°
∵ ∠1 and ∠2 are complementary angles
Here, the pairing of angles sums up to 90° then they are called complementary angles.
So 5y + 32 + 7y - 14 = 90°
⇒ 12y + 18 = 90
⇒ 12y = 72
⇒ y = 6
So m∠2 = 7y - 14
Substitute the value of y = 6 in the above equation, and we get
So m∠2 = 7(6) - 14 = 42 -12 = 30
Therefore, the value of m∠2 would be 30 degrees when the value of y = 6.
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How many ways can you distribute 4 different balls among 4 different boxes?
help plz I will give brainliest
Answer: what do you need help with??
Step-by-step explanation:
Estimate the sum or difference. nine-tenths seven-eighths a. 1 b. 2 c. 0
The sum and difference between nine-tenths and seven-eighths is 71/40 and 1/40, calculated by addition and subtraction.
As per the fact, representing the words in numbers. So, nine tenths will be represented as: 9/10
Seven eighths: 7/8
Calculating the sum and difference as follows -
Sum = 9/10 + 7/8
Taking LCM we get 40
Sum = 9×4 + 7×5/40
Performing multiplication on Right Hand Side of the equation
Sum = 36 + 35/40
Sum = 71/40
Difference = 9/10 - 7/8
Difference = (9×4) - (7×5)/40
Performing multiplication on Right Hand Side of the equation
Difference = 36 - 35/40
Difference = 1/40
Hence, sum is 71/40 and difference is 1/40.
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Find the area of the figure shown. Round to the nearest tenth if necessary.
Step-by-step explanation:
OK so your gonna add 6 and 11 then multiply it by 3, the height. then your gonna divide by 2
Factor the expression. - 35a - 30
Answer:
-5(7a+ 6)
Explanation:
Given the expression:
-35a - 30
-35a = -5 * 7 * a
-30 = -5 * 6
You can see from the factors that -5 is common to both
Hence -5 is the GCF
Factoring out -5 from the expression will give;
-5(7a+ 6)
This gives the correct factor
NORMAL distribution is what shape?
how many in 1st deviation
2nd deviation
3rd deviation
A NORMAL distribution is a symmetrical probability distribution with a bell-shaped curve. It is also called a Gaussian distribution or a normal curve. This distribution is often used in statistics to represent a large number of natural phenomena, such as the distribution of height, weight, or IQ scores in a population.
The first deviation of a NORMAL distribution includes 68.2% of the data. This means that if we were to take a random sample of data from a normally distributed population, about 68.2% of the data would be within one standard deviation of the mean.
The second deviation includes 95.4% of the data. This means that about 95.4% of the data would be within two standard deviations of the mean.
The third deviation includes 99.7% of the data. This means that about 99.7% of the data would be within three standard deviations of the mean.
It is important to note that while these percentages hold true for a NORMAL distribution, they may not apply to other types of distributions.
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in a 2015 national survey, what percentage of young adults age 18-25 were not current alcohol users?
The question is an illustration of proportion and percentages
The percentage of young adults, age 18-25 were not current alcohol users is 34.92%
The attached graph represents the proportion of those that are surveyed.
From the graph, we have:
\(\mathbf{Total = 18.6 + 27.2 + 20.8 + 11.3}\)
\(\mathbf{Total = 77.9}\)
The number of young adults 18 - 25 that are not current alcohol users are:
\(\mathbf{Young\ adults = 27.2}\)
So, the percentage of this group is:
\(\mathbf{\% Young\ adults = \frac{Young\ adults}{Total} \times 100\%} }\)
This gives
\(\mathbf{\% Young\ adults = \frac{27.2}{77.9} \times 100\%} }\)
\(\mathbf{\% Young\ adults = 0.3492 \times 100\% }\)
Multiply
\(\mathbf{\% Young\ adults = 34.92 \% }\)
Hence, the percentage of young adults, age 18-25 were not current alcohol users is 34.92%
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a ___ equation is an equation that contains a variable within a radical expression.
A radical equation is an equation that contains a variable within a radical expression.
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.A ball that is dropped from a window hits the ground in 7 seconds. How high is the window? (Give your answer in feet; note that the acceleration due to gravity is 32 ft/s² . Height = _______
Answer:
(1/2)(32 ft/sec^2)((7 sec)^2)
= (16 ft/sec^2)(49 sec^2)
= 784 feet
Height = 112 feet.
To find the height of the window, we can use the following kinematic equation for motion with constant acceleration:
y = yo + voyt + ½at²
Here, y is the final height of the ball above the ground, yo is the initial height of the ball (which is the height of the window in this case), voy is the initial velocity of the ball (which is 0 because the ball is dropped from rest), t is the time taken for the ball to hit the ground (which is 7 seconds), and a is the acceleration due to gravity (which is 32 ft/s²).
Substituting the values, we have:y = yo + 0 + ½(32)(7)
Simplifying the expression, we get:y = yo + 112
Thus, the height of the window (in feet) is given by:y = 112 feet
Answer: Height = 112 feet
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Please help with geometry question
Answer:
<U=70
Step-by-step explanation:
Straight line=180 degrees
180-120
=60
So, we have 2 angles.
60 and 50
180=60+50+x
180=110+x
70=x
So, U=70
Hope this helps! :)
Solve the equation in x = 5. Round the answer to 4
decimal places.
Answer:
Given: x²5x - 10 = 0
On comparing the given equation with ax² + bx + c = 0, we get: a = 1, b = -5 and c = -10
For ax²+bx+c = 0, we know that,
-b ± √b² - 4ac 2a X =
[Quadratic
formula]
5± √(-5)² - 4 × 1 × (-10) ... X = 5± √65 2
2 x 1
5 ± 8.06 2
5 +8.06 5-8.06 2 2
13.06 3.06 2 2
Hence, x = 6.53, or x = -1.53.
Algebra II Question - Tell whether the ordered pair is a solution of the system, if so why?
Answer:
Oh the answer is yes!
Step-by-step explanation:
If you graph (0,0) it will be in the gray area. Therefore, if the point is inside the gray, then the answer is yes.
Help please I just need help in this
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
When simplified the possible answers are:
a) y=1x-2
b) y=1x+2
c) y=2x-4
d) y=1x+0
Use rise/run to find slope
2/2= 1
So we can eliminate C
Now find the y-intercept, which lays on 2
B is your answer
What is the code in python to remove ' at the beginning and at the end and also remove the item at index 12?
To remove the single quotation marks ('') at the beginning and end of a string and remove the item at index 12, you can use Python's string manipulation methods and list slicing. First, you can use the strip() method to remove the surrounding single quotation marks. Then, you can convert the string into a list using the list() function, remove the item at index 12 using list slicing, and finally convert the list back into a string using the join() method.
To remove the single quotation marks at the beginning and end of a string, you can use the strip() method. This method removes any leading and trailing characters specified in the argument. In this case, you can pass the single quotation mark ('') as the argument to strip().
Here's an example:
string = "'example string'"
stripped_string = string.strip("'")
After executing this code, the value of stripped_string will be 'example string' without the surrounding single quotation marks.
To remove the item at index 12 from the string, you need to convert it into a list. You can use the list() function for this conversion. Then, you can use list slicing to remove the item at index 12 by excluding it from the list. Finally, you can convert the modified list back into a string using the join() method.
Here's an example:
string_list = list(stripped_string)
string_list.pop(12)
result_string = ''.join(string_list)
After executing this code, the value of result_string will be the modified string with the item at index 12 removed.
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if you wanted to evaluate the stability of the atmosphere, which weather product would you examine?
If we want to evaluate the stability of atmosphere , the we would examine the temperature and dew point data from a sounding .
The Sounding is a vertical profile of atmospheric variables, such as temperature, pressure, and humidity, measured using a weather balloon or other instrument.
By examining the temperature and dew point profiles on a sounding, meteorologists can determine the stability of the atmosphere.
The Stability of the atmosphere refers to its tendency to resist or promote vertical motion, such as rising air or sinking air.
If the atmosphere is unstable, it promotes vertical motion, which can lead to the development of clouds, thunderstorms, and other weather phenomena. If the atmosphere is stable, it resists vertical motion, which can result in clear skies and calm weather.
Therefore, to evaluate the stability of the atmosphere, one would examine the temperature and dew point data from a sounding .
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Hi, I am very stuck on questions 17 and 18. Can someone help please? Thanks
9514 1404 393
Answer:
17) x = 10√2
18) x = 4√6
Step-by-step explanation:
These problems rely on your knowledge of the side ratios of special triangles
45°-45°-90° triangle: 1 : 1 : √2
30°-60°-90° triangle: 1 : √3 : 2
__
17) 5 is the short side of the isosceles right triangle, so its hypotenuse is 5√2. That length is the shortest side of the 30/60/90 triangle, so its longest side is 2 times that:
x = 10√2
__
18) 8 is the longest side of the 30/60/90 triangle, so its long leg will be 8(√3)/2 = 4√3. The hypotenuse of the isosceles right triangle is √2 times that, so ...
x = (4√3)(√2)
x = 4√6
Can you please help me I need help asap thanks
Answer:
36
Step-by-step explanation:
Which of the following statements about the ventilation/perfusion (V/Q) ratio in a healthy person is true?
A) The lower portion of the lungs has more oxygen than perfusion.
B) Blood flow and amount of ventilation are equal throughout the lungs.
C) Amount of blood is greater than amount of oxygen in the lungs.
D) The upper portion of the lungs has more ventilation than blood flow
Answer:
A) The lower portion of the lungs has more oxygen than perfusion.
Step-by-step explanation:
Find the midpoint of A and B where A has coordinates (2, 3)
and B has coordinates (8,9).
Answer:
(5,6)
Step-by-step explanation:
Midpoint formula: (x1+x2/2 , y1+y2/2)
So you plug it in
your x's: 2 and 8
your y's: 3 and 12
(2+8/2 , 3+9/2)
(10/2 , 12/2)
(5,6)
could i be marked brainliest?
can you help me this is due in 2 days ty xxx
According to the image the figures that show nets of cubes are: A and D.
How to identify the nets of the cubes?To identify the nets of the cubes we must take into account that each square represents one side of the cube. In this case, the minimum requirement is that it have 6 squares, that is, 6 sides.
Once we have identified the number of sides, we must imagine how to fold the nets to form cubes. In some of them the sides overlap so we can infer that the correct nets are: A and D.
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Hi I need a fit of help with this question!
Explanation
The unit rate os obtained as shown as follows:
\(\text{Unit rate = }\frac{change\text{ in dollars}}{\text{change in hours}}\)\(\text{Unit rate= }\frac{17\text{dollars}}{\text{hour}}=\text{ 17\$/h}\)Answer is A. The unit rate is equal to $17.
HELP ASPPP PLEASESSSSS
Answer: I think the answer is 4.
Step-by-step explanation:
I am not sure because i am just in 5th grade (10) so might be wrong and i am so sorry if its wrong.
What is the SAS theorem?
The side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are comparable to two sides and an included angle of another triangle, is the first of these theorems.
What is the congruence of triangles?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.
Slide, twist, flip, and turn these triangles to create an identical appearance.
They are in alignment with one another when moved.
The first such theorem is the side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are equivalent to two sides and an included angle of another triangle.
Therefore, the side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are comparable to two sides and an included angle of another triangle, is the first of these theorems.
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find the matrix of the relation r={(1,2),(2,3),(3,4),(4,5)} on the set x={1, 2, 3, 4, 5}; ordering of x:1,2,3,4,5
The matrix of the relation r={(1,2),(2,3),(3,4),(4,5)} on the set x={1, 2, 3, 4, 5}; ordering of x:1,2,3,4,5 is as follows.
\($$\begin{pmatrix} 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 \end{pmatrix}$$\)
A relation is a set of ordered pairs.
The matrix of a relation is constructed by using its ordered pairs with their respective values as its entries, and its rows and columns by its domain and range, respectively.
So, the relation r is given as{(1,2),(2,3),(3,4),(4,5)}
The elements in the rows of the matrix correspond to the elements of x, while the elements in the columns of the matrix correspond to the elements of x as well, in that order.
So, the matrix of r on x can be written as:
\($$\begin{pmatrix} 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 \end{pmatrix}$$\)
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The common stock of Dayton Rapur sells for $48 49 a shame. The stock is inxpected to pay $2.17 per share next year when the annual dividend is distributed. The company increases its dividends by 2.56 percent annually What is the market rate of retum on this stock? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, eg-32.16.)
The market rate of return on the Dayton Rapur stock is approximately 4.59%.
To calculate the market rate of return on the Dayton Rapur stock, we need to use the dividend discount model (DDM). The DDM calculates the present value of expected future dividends and divides it by the current stock price.
First, let's calculate the expected dividend for the next year. The annual dividend is $2.17 per share, and it increases by 2.56% annually. So the expected dividend for the next year is:
Expected Dividend = Annual Dividend * (1 + Annual Dividend Growth Rate)
Expected Dividend = $2.17 * (1 + 0.0256)
Expected Dividend = $2.23
Now, we can calculate the market rate of return using the DDM:
Market Rate of Return = Expected Dividend / Stock Price
Market Rate of Return = $2.23 / $48.49
Market Rate of Return ≈ 0.0459
Finally, we convert this to a percentage:
Market Rate of Return ≈ 0.0459 * 100 ≈ 4.59%
Therefore, the market rate of return on the Dayton Rapur stock is approximately 4.59%.
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If P = (5,-2), Find:
Rx-axis (P)
([?], []).
Answer:
\(R_{x-axis}\) = (5,2)
Step-by-step explanation:
While reflection over x-axis, the x-coordinate remains the same and the y-coordinate changes to it's opposite.
So,
=> \(R_{x-axis}\) = (5,2)
If x = 6 and y = -2, find the value of x + y( to the power of 2)
Answer:
Step-by-step explanation:
An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)? WILL MARK BRAINLIEST
Answer:
The shortest path to take is \(20\sqrt{3}\ cm\) or \(34.64\ cm\)
Step-by-step explanation:
This question requires an attachment (See attachment 1 for question)
Given
Cube Dimension: 20cm * 20cm
Required
Shortest path from A to B
For proper explanation, I'll support my answer with an additional attachment (See attachment 2)
The shortest path from A to B is Line labeled 2
But first, the length of line labeled 1 has to be calculated;
This is done as follows;
Since, the cube is 20 cm by 20 cm
\(Line1^2 = 20^2 + 20^2\) (Pythagoras Theorem)
\(Line1^2 = 2(20^2)\)
Take square root of both sides
\(Line1 = \sqrt{2(20)^2}\)
Split square root
\(Line1 = \sqrt{2} * \sqrt{20^2}\)
\(Line1 = \sqrt{2} * 20\)
\(Line1 = 20\sqrt{20}\)
Next is to calculate the length of Line labeled 2
\(Line2^2 = Line1^2 + 20^2\) (Pythagoras Theorem)
Substitute \(Line1 = 20\sqrt{20}\)
\(Line2^2 = (20\sqrt{2})^2 + 20^2\)
Expand the expression
\(Line2^2 = (20\sqrt{2})*(20\sqrt{2}) + 20 * 20\)
\(Line2^2 = 400*2 + 400\)
Factorize
\(Line2^2 = 400(2+1)\)
\(Line2^2 = 400(3)\)
Take square root of both sides
\(Line2 = \sqrt{400(3)}\)
Split square root
\(Line2 = \sqrt{400} * \sqrt{3}\)
\(Line2 = 20 * \sqrt{3}\)
\(Line2 = 20 \sqrt{3}\)
The answer can be left in this form of solve further as follows;
\(Line2 = 20 * 1.73205080757\)
\(Line2 = 34.6410161514\)
\(Line2 = 34.64 cm\) (Approximated)
Hence, the shortest path to take is \(20\sqrt{3}\ cm\) or \(34.64\ cm\)
Answer:
44.72 cm
Step-by-step explanation:
1. This was marked correct by RSM
2. Unfold the cube, so that points A and B and on points diagonal from each other on a 40 cm x 20 cm rectangle. Now draw a line connecting points A to B. That is the hypotenuse of both triangles. Now according to the pythagorean theorem, the hypotenuse is √2000, which is equal to 5√20.
3. The answer is 44.72 cm
A regular polygon has angles that all measure 162 degrees. How many sides does the polygon have?
A regular polygon with angles that all measure 162 degrees has 20 sides.
Let's first consider a formula to find the measure of an interior angle of a regular polygon. We can use the formula:
Interior angle = (n-2) x 180 / n,
where n is the number of sides of the polygon.
If all angles of the polygon measure 162 degrees, then we can set up an equation:
(n-2) x 180 / n = 162
Multiplying both sides by n, we get:
(n-2) x 180 = 162n
Expanding the left side, we get:
180n - 360 = 162n
Subtracting 162n from both sides, we get:
18n - 360 = 0
Adding 360 to both sides, we get:
18n = 360
Dividing both sides by 18, we get:
n = 20
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a cube inches on an edge is given a protective coating inch thick. about how much coating should a production manager order for such cubes?
The cube has an edge length of x inches, and the protective coating has a thickness of 1 inch.The amount of coating needed for the cube with a protective coating 1 inch thick is 6L² square inches.
The total dimensions of the cube including the coating is (x + 2) inches.
So, the volume of the cube plus the coating can be calculated by using the formula:
V = (x + 2)³ - x³
= (x³ + 6x² + 12x + 8) - x³
= 6x² + 12x + 8 cubic inches
Therefore, a production manager should order 6x² + 12x + 8 cubic inches of coating for such cubes.
To calculate the amount of coating needed for a cube with a protective coating of 1 inch thick, we need to find the surface area of the cube and then multiply it by the thickness of the coating.
The surface area of a cube can be calculated using the formula:
Surface Area = 6 * (edge length)²
Let's assume the edge length of the cube is represented by "L" inches.
The surface area of the cube is:
Surface Area = 6 * (L)²
= 6L² square inches
To find the amount of coating needed, we multiply the surface area by the thickness of the coating:
Coating needed = Surface Area * Thickness
= 6L² * 1 inch
Therefore, the amount of coating needed for the cube with a protective coating 1 inch thick is 6L² square inches.
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