Answer:
negative
Step-by-step explanation:
because it is in the negative in the y axis
i need this done today whoever gets it correct gets brainliest!! PLZZZ HELPPP MEEE
Answer:
9x+6
Step-by-step explanation:
The data below shows the orders that were placed at a local paint shop. 1 2 3 4 Paint orders 5 6 Gallons 7 8 9 10 Solve for the MEAN of this data set. If needed, round to the nearest tenth.
To find the MEAN of Natural numbers, such as 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10, a + b + c3 is the sum of the three numbers a, b, and c. Therefore, 5.5 is the MEAN of the first 10 natural numbers.
Find the MEAN Of Data setFirstly The Given set of numbers Represents Natural numbers,
A natural number is an integer greater than 0. Natural numbers begin at 1 and increment to infinity: 1, 2, 3, 4, 5, etc.
Therefore, the first ten natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
And the mean of three numbers a, b, c is a + b + c3
Then the mean of 10 numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 is:-
⇒1+2+3+4+5+6+7+8+9+1010
Adding and dividing we get the value of the above term as,
⇒1+2+3+4+5+6+7+8+9+1010=5510=5.5
Hence, the mean of the first 10 natural numbers is 5.5.
Note: To solve this problem, you must understand that the integers greater than zero are natural numbers and that the mean of the three numbers a, b, and c equals a + b + c3. Knowing how to calculate the average number of elements and being familiar with natural numbers can help you arrive at the correct conclusion.
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see photo above to anwser
Answer:
i can see
Step-by-step explanation:
UKDIAMOND is a great place for the people of sentence to get it 4out in a sense that you are a very
Answer:
b = 99°
Step-by-step explanation:
XY is a line segment and so it is a straight line which means that it is a straight angle - 180°
a = 28°
c = 53°
b = ?
=> a + b + c = 180°
=> 28° + b + 53° = 180°
=> b = 180° - (53 + 28)°
=> b = 180° - 81°
=> b = 99°
Therefore b = 99°
Hope it helps :)
PLEASE ANSWER
One pump can fill a tank of water in 2 hours. A second tank can fill the same tank in 3 hours. If both pumps are used together, how long will it take to fill the tank? 5/6 hours 6/5 hours 3/2 hours 2/3 hours
Answer:
6/5 hours
Step-by-step explanation:
GIVEN :-
Lets say ,
Pump A takes 2 hours to fill the tank alonePump B takes 3 hours to fill the tank aloneTO FIND :-
Time taken by both pumps to fill the tank when used togetherPROCEDURE :-
In 2 hours , Pump A fills the whole tank.
⇒ In 1 hour , Pump A will fill 1/2 part of tank. (By using Unitary method)
In 3 hours , Pump B fills the whole tank.
⇒ In 1 hour , Pump B will fill 1/3 part of tank. (By using Unitary method)
In 1 hour , when both pumps will be used together , they will fill =
(Part of tank filled by A in 1hr) + (Part of tank filled by B in 1hr)
⇒ \(\frac{1}{2} + \frac{1}{3}\)
\(=> \frac{5}{6}\) part of tank
5/6 part of tank will be filled by both the pumps in = 1 hour.
Using unitary method, multiplying both the sides with 6/5 -
⇒ 5/6 × 6/5 part of tank will be filled by both the pumps in = 1 × 6/5 hours
⇒ Total tank (or 1 whole tank) will be filled by both the pumps in = 6/5 hours
∴ Both the pumps will take 6/5 hour to fill the tank , when used together.
Drag the expressions to the correct functions. Not all expressions will be used.
Consider the functions fand g.
= 4x² + 1
g(x) =
Perform the function compositions:
x² - 3
The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)).
Let the functions be f(x) = 4x² + 1 and g(x) = x² - 3
The correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and
(g o f)(x) = 16x⁴ + 8x² - 2.
What is composition function?The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.
Given:
f(x) = 4x² + 1 and g(x) = x² - 3
a) (f o g)(x) = f[g(x)]
f[g(x)] = 4(x² - 3)² + 1
substitute the value of g(x) in the above equation, and we get
= 4(x⁴ - 24x + 9) + 1
simplifying the above equation
= 4x⁴ - 96x + 36 + 1
= 4x⁴ - 96x + 37
(f o g)(x) = 4x⁴ - 96x + 37
b) (g o f)(x) = g[f(x)]
substitute the value of g(x) in the above equation, and we get
g[f(x)] = (4x² + 1)²- 3
= 16x⁴ + 8x² + 1 - 3
simplifying the above equation
= 16x⁴ + 8x² - 2
(g o f)(x) = 16x⁴ + 8x² - 2.
Therefore, the correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and
(g o f)(x) = 16x⁴ + 8x² - 2.
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Which of the following are equations of straight lines? Select all that apply. Please keep in mind that for questions like this where there are one or more correct answers, Canvas will deduct points for incorrect selections. yhat = 23 + 4w yhat = 2c +34 yhat = 2h yhat= d2 + 3 yhat = 23r+ 4 yhat=2s + 3t yhat= 3
The equations that have a linear relationship between yhat and the independent variable(s).
1)yhat = 23 + 4w
2)yhat = 2c + 34
3)yhat = 2h
5) hat = 23r + 4
The equations of straight lines have a linear relationship between the dependent variable (y) and the independent variable(s). Among the given equations, the following are equations of straight lines:
yhat = 23 + 4w: This equation has a linear relationship between yhat and w, where 4 is the slope of the line, and 23 is the y-intercept.
yhat = 2c + 34: This equation has a linear relationship between yhat and c, where 2 is the slope of the line, and 34 is the y-intercept.
yhat = 2h: This equation has a linear relationship between yhat and h, where 2 is the slope of the line, and there is no y-intercept.
yhat = 23r + 4: This equation has a linear relationship between yhat and r, where 23 is the slope of the line, and 4 is the y-intercept.
Therefore, the correct answers are:
yhat = 23 + 4w
yhat = 2c + 34
yhat = 2h
yhat = 23r + 4
The remaining equations do not have a linear relationship between yhat and the independent variable(s).
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7x + 31= 8x- 1 (27x+3)
-
3
AnswEr :
⠀⠀⠀⠀
The value of q is -1.42
⠀⠀⠀⠀
______________________
⠀⠀⠀⠀
➤ How to solve ?
⠀⠀⠀⠀
That's quite easy but you need to recall the BODMAS rule .
⠀⠀⠀⠀
BODMAS rule states the correct sequence to solve an equation . First we need to solve the bracket part then solve if any of is present moving further to division then multiplication carrying with addition atlast subtraction
⠀⠀⠀⠀
In this equation we will solve the bracket then we will apply further BODMAS rule
⠀⠀⠀⠀
━━━━━━━━━━━━━━━━━
SolutiOn :
➠ 7x + 31 = 8x - 1 ( 27x + 3 ) -3
➠ 7x + 31 = 8x - 27x - 3 - 3
Now, we will bring the variable on left hand side and constants on right hand side
➠ 7x - 8x + 27x = - 31 - 3 - 3
➠ 26x = -37
➠ x = -37/ 26
➠ x = - 1.42
∴ The value of x is -1.42 .
━━━━━━━━━━━━━━━━━
Someone help me?????
Answer:
A. y = | x - 6 | - 3
Step-by-step explanation:
Hope this is helpful
Answer:
D
Step-by-step explanation:
when you look at the graph you can notice a kind of a curve at that point x is -6 and Y is -3 so what u have to do is replace -6 in position of x in the 4 answers and the one who's Y = -3 is your answer
Steve gave away half of the stamps in his stamp
collection to his best friend, Brad. Then Steve
gave away 27 stamps to his sister, Kara. If
Steve now has just 15 stamps left, how many
stamps were in his collection originally?
Answer:
15 +27 =42
42 X 2 = 84
84 stamps originally
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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how would you respond to a statement that says that by increasing the sample size, the amount of sampling error will be decreased?
The statement about That by increasing the sample size, the amount of sampling error will be decreased is true.
Given that,
That by increasing the sample size, the amount of sampling error will be decreased
Sampling error is inversely related to sample size. Therefore, if we expand the size of our sample, the likelihood of sampling error is reduced and the results are more trustworthy. The standard error is the term used to describe the sampling error that is most frequently utilized (SE). A measurement of the range of estimations around the "actual value" is the standard error. You get a lower return by increasing the sample size beyond what you already have because the added accuracy won't make much of a difference.
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Brody had his computer repaired at Store A. His bill was:
Initial Repair Cost = $1,200
Sales Tax of 6 percent = $72.00
Gratuity of 15 percent
Explain how you would calculate the gratuity for the
services provided.
Answer:
Add the repair cost and tax to get the total amount. Then multiply the total amount by 0.15 to find the gratuity.
Step-by-step explanation:
This is sample response
The gratuity for the services provided is $190.8 if the Initial Repair Cost = $1,200, the Sales Tax of 6 percent = $72.00, and the Gratuity of 15 percent.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Brody had his computer repaired at Store A. His bill was:
Initial Repair Cost = $1,200
Sales Tax of 6 percent = $72.00
A gratuity of 15 percent
Total cost = 1200 + 72 = 1272
The gratuity for the services provided = 0.15x1272 = $190.8
Thus, the gratuity for the services provided is $190.8 if the Initial Repair Cost = $1,200, the Sales Tax of 6 percent = $72.00, and the Gratuity of 15 percent.
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the expected value is equal in mathematical computation to the ____________
The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.
The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.
For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:
1 * 1/6 = 1/62 * 1/6 = 2/63 * 1/6 = 3/64 * 1/6 = 4/65 * 1/6 = 5/66 * 1/6 = 6/6Summing up these values gives us:
1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5
Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.
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Use synthetic division to find the result when 2x^4+11x^3+11x^2-15x-18 is divided by x-2?
at first write the first coefficient just below it then multiply with 2 ( if there is x-2 we should take 2 and vice versa ) keep repeating this process
PLEASE HELP ASAP
Which expression is not equal to 1?
A} sin θ csc θ
B} cos θ sec θ
C] tan θ cot θ
D} sin θ cos θ
Answer:
D} sin theta cos theta
Step-by-step explanation:
Edge
Answer:
D
Step-by-step explanation:
Edge2021
In your reservoir, you have a production well which flows for 48 hours at 200 STB/day, and then shut-in for 24 hours. The following additional data are given : Pi = 3100 psi Ct = 15x10^-6 psi^-1 Bo = 1.3 bbl/STB ϕ = 15% μ=1.2 cp K = 45 md and h = 60 ft
a-) Calculate the pressure in this production well at 12 hours of shut in
b-) Explain how can you use superposition in time to analyze a pressure build-up test.
a) To calculate the pressure at 12 hours of shut-in:
substitute the given values into the pressure buildup equation and solve for P(t=12).
b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.
We have,
a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:
P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))
Where:
P(t) = Pressure at time t
Pi = Initial reservoir pressure
Q = Flow rate
K = Permeability
h = Reservoir thickness
ϕ = Porosity
μ = Viscosity
Ct = Total compressibility
t = Shut-in time (12 hours)
Δt = Time since the start of the flow period
Bo = Oil formation volume factor
ΔP = Pressure drop during the flow period
Given:
Pi = 3100 psi
Q = 200 STB/day
K = 45 md
h = 60 ft
ϕ = 15%
μ = 1.2 cp
Ct = 15x10^-6 psi^-1
Bo = 1.3 bbl/STB
t = 12 hours
Δt = 48 hours
ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))
Substituting the given values into the equation:
ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))
After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.
b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.
It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.
The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.
Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.
It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.
Thus,
a) To calculate the pressure at 12 hours of shut-in:
substitute the given values into the pressure buildup equation and solve for P(t=12).
b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.
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It costs 3 adults and 4 children $94 to visit the zoo. It costs 4 adults and 4 children $112 to visit the same zoo. Write a system of equations to find the cost of a ticket for an adult and the cost of a ticket for a child.
Answer:
Adult ticket = $18
Children ticket = $10
Step-by-step explanation:
Let x represent the cost of adult tickets
Let y represent the cost of children tickets
3x + 4y = 94.......equation 1
4x + 4y = 112........equation 2
Multiply equation 1 by 4 and equation 2 by 3
12x + 16y = 376
-
12x + 12y = 336
4y = 40
y = 10
Substitute 10 for y in equation 1
3x + 4(10) = 94
3x + 40= 94
3x = 94- 40
3x = 54
x = 54/3
x= 18
Hence the price of adult ticket is $18 and the price of children ticket is $10
How many pages did Juan read if he read 1 3/4 times as many pages as Rosa. Lee read 140 3/4 pages which was 36 1/3 pages more than the number of pages that Rosa read
Answer:
\(182\frac{35}{48}\)
Step-by-step explanation:
To find the number of pages Rosa read subtract 36 1/3 from 140 3/4
140 3/4-36 1/3= 104 5/12
Then multiply 1 3/4 to that to get how many pages Juan read
The answer will be \(182\frac{35}{48}\)
the function h(x)=1/2(x+3) ^2+2. how is the graph h(x) translated from the parent graph of a quadratic function f(x)=x^2? select all that apply
Answer:
shifted to the LEFT 3 units
shifted UP 2 units
(also schmashed by a factor of 1/2)
Step-by-step explanation:
Inside the parentheses, in close with the x shifts the curve in the x direction. That is, left or right. Horizontal shifts are the opposite of what your intuition may say to you.
"x + anumber" translates the graph to the LEFT.
The 2 tacked on to the end pushes the graph UP 2 units.
It is not a translation, but the 1/2 in front flattens the curve, making it fatter, and wider.
If we were to make a poset of the form (A, |), where is the symbol for divisibility, which of the following sets A would yield a poset that is a total ordering? O A- (1, 4, 16, 64) O A- (1.2,3, 4, 6, 12) O A 1,2,3, 4, 6, 12, 18, 24) OA+{1 , 2, 3, 6, 12)
The sets A {1.2,3,4,6,12}, A{1,2,3,4,6,12,18,24}, and A{1,2,3,6,12} all yield a poset that is a total ordering.
In order for a partially ordered set (poset) to be a total order, every pair of elements must be comparable, i.e., for every pair of elements x, y in A, either x | y or y | x must be true.
Therefore, we should choose a set A that satisfies this condition.Let us consider each set in turn:(1, 4, 16, 64)This set contains powers of 4, which are not all divisible by each other.
For example, 16 | 64, but 16 does not divide 4.
Hence, this set is not a total order.{1.2,3, 4, 6, 12}In this set, 1 divides every other element, so it satisfies the condition for being a total order. Therefore, this set yields a poset that is a total order.
(1, 2, 3, 4, 6, 12, 18, 24)This set has the same elements as the previous set, plus some more. Hence, it also satisfies the condition for being a total order.
Therefore, this set yields a poset that is a total order.{1 , 2, 3, 6, 12}In this set, 1 divides every other element, 2 divides 6 and 12, and 3 divides 6 and 12.
Therefore, it satisfies the condition for being a total order.
Hence, this set yields a poset that is a total order.In conclusion, the sets A {1.2,3,4,6,12}, A{1,2,3,4,6,12,18,24}, and A{1,2,3,6,12} all yield a poset that is a total ordering.
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Find the slope of the line passing through the points (-7, -4) and (8,8).
Answer:
Hope its work for you
Step-by-step explanation:
As we know that,
slope=m=(Y2-Y1)/(X2-X1)As given values
take, (X1,Y1)=(-7,-4)
(X2-Y2)=(8,8)
hence X1=-7 , Y1= -4 , X2=8 , Y2= 8
putt the values in the above equation of slope we get ,
m=(8-(-4))/(8-(-7)
m=12/15 AnsAnswer:
0.8
Step-by-step explanation:
Slope=(y2-y1) (8--4) (12)
(x2-x1)= (8--7)= (15)= 0.8
What does 4.3 round to
Answer:
4
Step-by-step explanation:
find the product of 2^2007 and 5^2011
The product of 2^2007 and 5^2011 is given as follows:
2^2007 x 5^2011.
How to obtain the product of the two numbers?When two numbers with the same base and different exponents are multiplied, we keep the base and add the exponents.
The product for this problem is defined as follows:
2^2007 x 5^2011.
2 and 5 are both prime numbers, hence they cannot be factored into common bases, hence the expression is already simplified.
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h(x)=-4x+12 what is h(3a)-h(2a) in terms of "a"
Answer:
3 and two because term means the number in front of the variable
a large school district held a district-wide track meet for all high school students. for the 2-mile run, the population of female students participating had a mean running time of 8.8 minutes with standard deviation of 3.3 minutes, and the population of male students participating had a mean running time 7.3 minutes with standard deviation of 2.9 minutes. suppose 8 female students and 8 male students who participated in the 2-mile run are selected at random from each population. let x¯f represent the sample mean running time for the female students, and let x¯m represent the sample mean running time for the male students. a. Find and interpret the mean and standard deviation of the sampling distribution of the difference in sample means xF − xM. b. Find the probability of getting a difference in sample means xF − xM that is less than 0.
a. The mean and standard deviation of the sampling distribution of the difference in sample means xF - xM are 1.5 and 1.65 minutes.
b. The probability of getting a difference in sample means xF - xM that is less than 0 is approximately 0.20
What is Probability?
Probability is a field of mathematics that calculates the likelihood of an experiment occurring. We can know everything from the chance of getting heads or tails in a coin to the possibility of inaccuracy in study by using probability.
a. The mean of the sampling distribution of the difference in sample means, xF - xM, is equal to the difference of the population means, μF - μM = 8.8 - 7.3 = 1.5 minutes.
where σF and σM are the standard deviations of the populations of female and male students, respectively, and nF and nM are the sample sizes of female and male students, respectively.
\(Standard\ Deviation = \sqrt{3.3^2/8 + 2.9^2/8} \\\\Standard\ Deviation = \sqrt{{2.75} }\\\\Standard\ Deviation = 1.65\ minutes\)
So, the mean and standard deviation of the sampling distribution of the difference in sample means xF - xM are 1.5 and 1.65 minutes, respectively.
b. The probability of getting a difference in sample means xF - xM that is less than 0 can be found using a standard normal distribution table. First, we need to standardize the difference in sample means xF - xM by subtracting the mean and dividing by the standard deviation:
z = (xF - xM - (μF - μM)) / standard deviation
z = (0 - 1.5) / 1.65 = -0.91
Looking up -0.91 in a standard normal distribution table, we find that the probability of getting a difference in sample means xF - xM that is less than 0 is approximately 0.20.
So, there is a 20% probability of getting a difference in sample means xF - xM that is less than 0.
Hence, The mean and standard deviation of the sampling distribution of the difference in sample means xF - xM are 1.5 and 1.65 minutes and probability of getting a difference in sample means xF - xM that is less than 0 is approximately 0.20.
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HELP ASAPPP 10 POINTS 8TH GRADE MATH
Answer: x times y times pie times 24
Step-by-step explanation: then you’ll get your answer
Answer:
149
Step-by-step explanation:
the total measure of a right triangle is 180, so subtract the 2 other known measurements by 180.
180-24-7
=149
ZA and ZB are vertical angles with m/A=x and m/B= 4x - 30. What is m/A?
∠A and ∠B are vertical angles having m∠A = x and m∠B = 4x - 30 the result of ∠A = 10.
What are vertical angles?When two lines intersect at a location, vertical angles are generated. They are always on equal footing. In other words, four angles are generated anytime two lines cross or intersect. We can see that two opposed angles are equal, and these are referred to as vertical angles.
According to the given data:∠B= 4x - 30.
∠A = x
∠A and ∠B are vertical angles
so,
∠A =∠B
x = 4x - 30
4x - x = 30
3x = 30
x = 10
m ∠A= x = 10
m ∠A = 10
∠A and ∠B are vertical angles having m∠A = x and m∠B = 4x - 30 the result of ∠A = 10.
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please help and explain
Which represents the value of x?
PLEASE HELP‼️‼️‼️ TRIGONOMETRIC FUNCTIONS‼️‼️‼️
Sides of the given Right angle Triangle are 7.5,12.5,10.
What are basic theorems of Right angle Triangle?The Pythagoras Theorem defines the relationship between a triangle's perpendicular, hypotenuse, and base. The right-angled triangle theorem is another name for this. The Pythagoras theorem states that a triangle is said to be right-angled if the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be said in the following way:
If Angle equals 90° then Hypotenuse = Perpendicular∧2+ Base∧2.
The base is the side that the right angle is connected to, the neighboring side of the right angle is connected to the hypotenuse by the perpendicular, and the side that the angle is opposite to is known as the hypotenuse. The legs of the hypotenuse are another name for the base.
Calculation:Given
Tan(B) = \(\frac{3}{4}\)=\(\frac{NE}{BE}\)
⇒BE=10;
NB^2=NE^2+BE^2;
⇒NB^2=156.25
⇒NB=12.5
Sides of the given Right angle Triangle are 7.5,12.5,10.
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if you could help me maybe pls?????
Answer:
k² + 10k + 24
Step-by-step explanation:
First, the square has side length k. Now in rectangle,
l= k+6
b= k+4
Ar. of rectangle= l×b
Eq.
(k+6)(k+4)
opening bracket,
k² + 6k + 4k + 24
k² + 10k +24