The angles are: ∠1 = 22.5°, ∠2 = 67.5°, ∠3 and ∠4 = 45°, ∠5 = 135° and ∠6 = 67.5°.
The flag is rectangle; hence, each corner will be 90°. Now, sum of ∠1 and ∠2 and sum of ∠3 and ∠4 will be 90°. We are given ∠2 is three times the ∠3. So, forming the equation -
∠2 = 3 ∠3
∠2 = 3 ∠1
∠1 + ∠2 = 90
∠1 + 3 ∠1 = 90
4 ∠1 = 90
∠1 = 22.5°
∠2 = 90 - ∠1
∠2 = 90 - 22.5
∠2 = 67.5°
According to Shannon, ∠3 = ∠4
∠3 + ∠3 = 90
2 ∠3 = 90
∠3 = 45° = ∠4
∠2 and ∠6 are the opposite angles and hence are also equal. Also, according to Shannon, ∠6 = 1/2 ∠5.
67.5 = 1/2 × ∠5
∠5 = 67.5 × 2
∠5 = 135°
Hence, each angle is: ∠1 = 22.5°, ∠2 = 67.5°, ∠3 and ∠4 = 45°, ∠5 = 135° and ∠6 = 67.5°.
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The following table gives the number of pints of type A blood used at Damascus Hospital in the past 6 weeks: a) The forecasted domand for the week of October 12 using a 3-week moving averigge pints (round your response to two decimal piaces).
The forecasted demand for the week of October 12, based on the 3-week moving average, is 16 pints. This estimate provides an approximation of the expected demand for type A blood at Damascus Hospital during that week, considering recent trends in usage.
To calculate the forecasted demand for the week of October 12, we employ a 3-week moving average. This approach involves taking the average of the number of pints used over the previous three weeks.
Let's refer to the table provided to determine the moving average:
Week Number of Pints
Sept 1 15
Sept 8 18
Sept 15 12
Sept 22 20
Sept 29 16
Oct 6 14
To calculate the moving average, we sum the number of pints used over the three most recent weeks and divide it by 3:
Moving Average = (12 + 20 + 16) / 3 = 16
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What is the decimal value of the 2 in the hexadecimal number F42AC16? a) 409610, b) 51210, c) 25610, d) 210
The decimal value of the 2 in the hexadecimal number F42AC16 is 131,072.
To determine the decimal value of the 2 in the hexadecimal number F42AC16, we need to understand the positional value system of hexadecimal numbers. In hexadecimal, each digit represents a power of 16. The rightmost digit has a positional value of 16^0, the next digit to the left has a positional value of 16^1, the next digit has a positional value of 16^2, and so on.
In the given hexadecimal number F42AC16, the 2 is the fifth digit from the right. Its positional value is 16^4. Calculating the decimal value: 2 * 16^4 = 2 * 65536 = 131,072. Therefore, the decimal value of the 2 in the hexadecimal number F42AC16 is 131,072. None of the provided options (a) 409610, b) 51210, c) 25610, d) 210) matches the correct decimal value of 131,072.
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The legend on a map states that 1 cm is
45 km. If you measure 7 cm on the
map, how many kilometers would the
actual distance be?
Answer:
315 Km
Step-by-step explanation:
7 x 45 = 315
for a smoothie Isaac needs 3 quarts of strawberry puree which is sold in bottles of 1 pint and bottles of 1 cup he already had 1.75 quarts of puree if he wants to buy exactly three bottles in total how many of each bottle should he buy pleasee help its really important
Answer:
There are 2 bottle of 1 pint and 1 bottle of 1 cup.
Step-by-step explanation:
Okay, so first let's look at the conversion factors of these units:
1 quart=2 pints & 1 quart= 4 cups.
Alright well, we already have 1.75 out of 3 quarts of the strawberry puree so all
we need left is 1.25 quarts left. So since 1 pint= .5 quarts and 1 cup=.25 quarts
we need to buy 2 pints and 1 cup to give us our three quarts.
Hence, there are 2 bottle of 1 pint and 1 bottle of 1 cup.
Hope this answer helps you :)
Have a great day
Mark brainliest
will mark brainliest if correct, alegebra
B or D are completely correct.
Personally, I'd do D, but I know people would would rather do B. Both help you get to your solution.
the answer is b
after that you need to
- simplify
- multiply by -1
- simplfy again
-divide both sides by two
- simplfy
- add 4 to both sides
- divide both sides by 5
and you should get
x>2! followthe steps in order
dm me or smth if this is not the answer that you wanted!
ly,
dannie :)
Eso
On Thursday, a local hamburger shop sold a combined total of 342 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the
number of hamburgers sold. How many hamburgers were sold on Thursday?
Il hamburgers
?
Answer:
Step-by-step explanation:
182
Huilan's age is two times Thomas's age. The sum of their ages is 30 . What is Thomas's age?
Answer:
10
Step-by-step explanation:
10+20=30
20 is two times 10
Since Thomas's age is half, Thomas's age is 10
In function for every input there is exactly one output
Answer:
It should be true, because without an output or input it would be an alien device that doesn't need any energy to work, making it true, also i dont really know if its true
The scale factor of two similar polygons is given. Find the ratio of their perimeters and the ratios of their areas.
1) 3:1
2) 7/4
The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.
Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,
To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.
1) So, perimeter = 3:1
The ratio of areas between two similar polygons is equal to the square of the scale factor.
Since the scale factor is 3:1, the ratio of their areas is:
(Ratio of areas) = (Scale factor)² = 9/1 = 9:1
Similarly,
2) Perimeter = 7:4
Area = 49/16
Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.
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Solve for w-39=4w+7(w-3)Simplify your answer as much as possible
Given the equation:
-39 = 4w + 7(w-3)
Let's solve the equation for w.
To solve take the following steps.
• Step 1.
Apply distributive property
\(\begin{gathered} -39=4w+7(w)+7(-3) \\ \\ -39=4w+7w-21 \end{gathered}\)• Step 2.
Combine like terms
\(-39=11w-21\)• Step 3.
Add 21 to both sides
\(\begin{gathered} -39+21=11w-21+21 \\ \\ -18=11w \end{gathered}\)Step 4.
Divide both sides by 11
\(\begin{gathered} \frac{-18}{11}=\frac{11w}{11} \\ \\ -1.63=w \\ \\ w=-1.63 \end{gathered}\)ANSWER:
w = -1.63
When given a word problem, what should you always do to better visualize the problem?
Step-by-step explanation:
1.Read the Entire Word Problem.
2.Think About the Word Problem.
3.Write on the Word Problem.
4.Draw a Simple Picture and Label It.
5.Estimate the Answer Before Solving.
6.Check Your Work When Done.
7.Practice Word Problems Often.
A square room has a floor area of 36 feet. The height of the room is 7 feet.What is the total area of all 4 walls
If we have that the square room has a floor area of 36ft², we can calculate the side of each of the sides of the floor. After finding the measure of the side, then we can calculate the area of one of the walls. Finally, we have to multiply this result by 4 to obtain the total area of the walls.
We can proceed as follows:
Finding the measure of the side of the square floorWe have that the square room has an area of 36ft². Then we have:
\(\begin{gathered} A_{\text{square}}=l\cdot l=l^2 \\ 36ft^2=l^2 \end{gathered}\)Then if we take the square root to both sides of the equation:
\(\begin{gathered} l^2=36ft^2 \\ \sqrt[]{l^2}=\sqrt[]{36ft^2} \\ l=6ft \end{gathered}\)Therefore, each side of the floor measures 6ft.
Finding the area of the wallsSince we know that the height of the walls is 7ft, we can find the area of one wall as follows:
\(\begin{gathered} A_{\text{wall}}=6ft\cdot7ft \\ A_{\text{wall}}=42ft^2 \end{gathered}\)We calculated for the area of a rectangle.
Since we have four walls, then the total area of all four walls will be:
\(\begin{gathered} T_{\text{area}}=42ft^2\cdot4 \\ T_{\text{area}}=168ft^2 \end{gathered}\)In summary, therefore, the total area of all four walls is 168ft² (168 square feet).
it possible to create an equation for a circle given exactly two points. describe exactly how one would do this. provide an example if necessary.
It is impossible to create an equation for a circle given exactly two points.
Let's consider the two basic equations of circle, i.e, the standard equation and general equation.
Now, Standard equation of circle with center (h, k) and radius r is represented as
(x−h)² +(y−k)² =r²
Note here we need values of three unknowns, h, k, r to get equation of a certain circle.
The other general equation of circle is of the form
x² + y² + 2gx + 2fy + c = 0
Again, values of three unknowns (g, f and c) are necessary for obtaining equation of a certain circle. So in both cases, values of three unknowns are required to have an equation of a distinct circle. In order to calculate, the values of these three unknowns, we must first require three conditions that would be produced by three equations. Solving those equations, allows us to construct the equation of circle. So if only two points are given, then these gives two equations with three unknowns. It would be impossible to get three distinct values from two equations. So, there is no possible distinct circle for two points.
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If 35 people going to the movie bought popcorn and that was 20% of all the people at the movie how many people were at the movie
Answer:
Im pretty sure it would be 700 but im most likely wrong.
13. A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S) = 0.31. They have also determined that the probability that someone has lung
cancer, given that they are a smoker is P(LCS) = 0.226. What is the probability (rounded to the nearest hundredth) that a random person is a smoker and has lung cancer
P(SnLC)?
-0.08
-0.73
-0.25
-0.07
=======================================================
Work Shown:
S = person is a smokerLC = person has lung cancerP(S) = 0.31 = probability someone is a smokerP(LC given S) = probability someone has lung cancer, given they are a smokerP(LC given S) = 0.226Use that given info to say the following:
P(LC given S) = P(LC and S)/P(S)
P(LC and S) = P(LC given S)*P(S)
P(LC and S) = 0.31*0.226
P(LC and S) = 0.07006
P(LC and S) = 0.07
This problem is an example of using conditional probability.
I used "and" in place of the intersection symbol \(\cap\)
Saying P(LC and S) is the same as P(S and LC). The order doesn't matter.
Evaluate the line integral by the two following methods.
Image for Evaluate the line integral by the two following methods. Integrate xy dx + x2y3 dy C is counterclockwise aroun
xy dx + x2y3 dy
C is counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 4)
(a) directly
(b) using Green's Theorem
The line integral in both cases is 52/3
Given,
a) The line integral; L = ∫c xy dx + x² y³ dy
Where C is counterclockwise around the triangle with vertices (0, 0),
(1, 0) and (1, 4)
Our first line integral is
L₁ = ₁∫₍₀, ₀₎ ⁽¹ ⁰⁾ xy dx + x² y³ dy
The equation of this line is y = 0, x varies from 0 to 1.
L₁ = 0
Our second line integral is
L₂ = ₁∫₍₁, ₀₎ ⁽¹ ⁴⁾ xy dx + x² y³ dy
The equation of this line is x = 0 and y varies from 1 to 4.
L₂ = 64/3
The third line integral is
L₃ = ∫₁⁰ xy dx + x² y³ dy
The equation of this line is y = 4x and x varies from 0 to 1.
L₃ = -4
The value of the line integral is
L = L₁ + L₂ + L₃ = 0 + 64/3 + (-4) = 52/3
b) The second part requires the use of Green's Theorem to evaluate:
This is given by:
∫c Pdx + Qdy = ∫ ∫ R Qy - Px dA
∫c xy dx + x² y³ dy = ∫ ∫R 3x² y² - ydA
We choose our region of integration parallel to the y-axis.
∫c xy dx + x² y³ dy
= ∫¹₀ ∫⁴ˣ₀ 3x² y² - y dy dx
= ∫¹₀ x² y³ - 1/4 |y²|²ˣ₀ dx
= ∫¹₀ 64x⁵ - 4x² dx = 52/3
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The mean time required to repair breakdowns of a certain copying machine is 93 minutes. The company which manufactures the machines claims that breakdowns of its newer model are easier to fix. To test this claim, a sample of 18 breakdowns of the new model were observed, resulting in a mean repair time of 86.8 minutes with a standard deviation of 14.6 minutes. Using a significance level of a = 0.10, determine if the new copy machines are faster to repair. State clearly what your null and alternative hypotheses are, show your work, and state your conclusion.
A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.
To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:
Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.
Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.
Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:
t = (sample mean - population mean) / (sample standard deviation / √(sample size))
Given:
Population mean (μ) = 93 minutes
Sample mean (\(\bar x\)) = 86.8 minutes
Sample standard deviation (s) = 14.6 minutes
Sample size (n) = 18
Significance level (α) = 0.10
Calculating the test statistic:
t = (86.8 - 93) / (14.6 / sqrt(18))
t = -6.2 / (14.6 / 4.24264)
t ≈ -2.677
The degrees of freedom for this test is n - 1 = 18 - 1 = 17.
Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.
Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.
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The table shows input and output values of the function y = x2 + 12x – 2. What is an approximate solution of the equation x2 + 12x – 2 = 0?
Answer:
the answer is 0.16 & -12.16
ASAP 20 points - Which expression best estimates 6 and 3/4 divided by 1 and 2/3?
A. 7 divided by 2
B. 6 divided by 1
C. 8 divided by 3
D. 3 divided by 2
Answer:
A. 7 divided by 2
Step-by-step explanation:
The computation is shown below;
\(= 6\frac{3}{4} \div 1 \frac{2}{3} \\\\= \frac{27}{4} \div \frac{5}{3}\\\\= \frac{27}{4} \times \frac{3}{5}\\\\= \frac{27\times 3}{4\times 5} \\\\= \frac{81}{20} \\\\= 4 \frac{1}{20}\)
It could be 4.05
So according to the given options, the option 1 is chosen at is closed to 4.05
Hence, the option A is correct
a+c=r+d solve for a, answer please :(
Answer:
a = r + d - c
Step-by-step explanation:
a + c = r + d
You want a alone on the left side. c is being added to a.
To get rid of the c, you must subtract c from the left side, but the rule of equations is that you must do the same operation to both sides of the equation. We subtract c from both sides of the equation.
a + c - c = r + d - c
c - c = 0, so the c is eliminated from the left side.
We now have
a + 0 = r + d - c
a = r + d - c
Answer:
a = r + d - c
Step-by-step explanation:
All we do is transpose c to the other side to isolate a.
NEED HELP ASAP GIVING BRAINLEST:
Write a real world situation that could be represented using the following equation:
x - 100 = 40
Answer: if Lisa has ? sheets of paper and she uses 100 sheets and has 40 sheets left how many sheets of paper did she start with
The concentration C (mol/L) varies with time (min) according to the equation C = 3.00exp(-1.80 t).
Use the expression to estimate the concentrations at t=0 and t=1.00 min.
The concentration of the compound at t = 1.00 minute is 0.164 M, which is less than the maximum concentration.
The concentration of a chemical compound, C (mol/L), varies over time, t (min), according to the equation C = 3.00 exp(-1.80 t).
We must find the concentration at t=0 and t=1.00 min by using the formula. When t = 0, we substitute the value into the equation, and we obtain a value of 3.00 M.
It means that at the beginning, the concentration of the compound is 3.00 M. This is the maximum value of the concentration since the exponential function will always decrease over time.
As time goes by, the concentration decreases. When t = 1.00 minute, we substitute the value into the equation, and we obtain a value of 0.164 M.
This implies that at t=1.00 minute, the concentration of the chemical compound is 0.164 M. The concentration of the compound will continue to decrease over time as the exponential function approaches zero.
The exponential function C = 3.00 exp(-1.80 t) shows how the concentration of a chemical compound varies with time. The maximum value of the concentration is 3.00 M when t = 0. The concentration of the compound at t = 1.00 minute is 0.164 M, which is less than the maximum concentration. The exponential function will continue to decrease as time passes, causing the concentration to decrease.
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The table shows the relationship between the number of minutes Ted has driven, m, and the total distance he has traveled, d, in miles. Which equation represents the relationships in the table? Group of answer choices d = 2m m = d d = m - 5 d = m
The proportional equation that represents the relationship in the table is given as follows:
d = km
In which k is the number of miles he drives per minute(the ratio of the values in the table).
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the constant of proportionality is the number of miles he travels in a minute, which is the ratio of the distances in the table. Hence the equation is given by:
d = km.
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b) During the first market day, Fatuma bought 30 oranges and 12 mangoes and paid Ksh. 936 for all the fruits. In the second market day, the price of an orange increased by 20% while that of a mango reduced in the ratio 3:4. Fatuma bought 15 oranges and 20 mangoes and paid Ksh. 780 for all the fruits. Given that the cost of an orange and that of a mango during the first market day was Ksh. x and Ksh. y respectively: (i) Write down simultaneous equations to represent the information above. (2 marks) (ii) Use matrix in (a) above to find the cost of an orange and that of a mango in the first market day. (4 marks) (iii) Fatuma sold all the fruits bought on the second market day at a profit of 10% per orange and 15% per mango. Calculate the total amount of money realized for the sales. (2 marks)
Answer:Let the cost of an orange and that of a mango during the first market day be Ksh. x and Ksh. y respectively.
From the first market day:
30x + 12y = 936
From the second market day:
15(1.2x) + 20(3/4y) = 780
Simplifying the second equation:
18x + 15y = 780
(ii) Using matrix to find the cost of an orange and that of a mango in the first market day:
Rewriting the equations in matrix form:
|30 12| |x| |936|
|18 15| x |y| = |780|
Multiplying the matrices:
|30 12| |x| |936|
|18 15| x |y| = |780|
|30x + 12y| |936|
|18x + 15y| = |780|
Using matrix inversion:
| x | |15 -12| |936 12|
| y | = | -18 30| x |780 15|
|x| |270 12| |936 12|
| | = |-360 30| x |780 15|
|y|
Simplifying the matrix multiplication:
|x| |1194| |12|
| | = | 930| x |15|
|y|
Therefore, the cost of an orange in the first market day was Ksh. 39 and the cost of a mango in the first market day was Ksh. 63.
(iii) Calculation of the total amount of money realized for the sales:
On the second market day, Fatuma bought 15 oranges and 20 mangoes.
Cost of 15 oranges = 15(1.2x) = 18x
Cost of 20 mangoes = 20(3/4y) = 15y
Total cost of fruits bought on the second market day = 18x + 15y = 18(39) + 15(63) = Ksh. 1629
Profit earned on 15 oranges at 10% = 1.1(1.2x)(15) - (1.2x)(15) = 0.18x(15) = 2.7x
Profit earned on 20 mangoes at 15% = 1.15(3/4y)(20) - (3/4y)(20) = 0.15y(20) = 3y
Total profit earned = 2.7x + 3y
Total amount of money realized for the sales = Total cost + Total profit
= Ksh. 1629 + 2.7x + 3y.
Step-by-step explanation:
Which property explains why these two expressions are equal?
(w+ 2/3) + 5 = w + (2/3 + 5)
A)
associative
B)
commutative
C)
distributive
D)
transverse
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.
When comparing the data, which measure of variability should be used for both sets of data to determine the location with the most consistent temperature?
IQR, because Sunny Town is skewed
IQR, because Desert Landing is symmetric
Range, because Sunny Town is skewed
Range, because Desert Landing is symmetric
The measure of variability should be used for both sets of data to determine the location with the most consistent temperature is IQR (Interquartile Range).
The measure of variability should be used for both sets of data to determine the location with the most consistent temperatureThe reason for this is that IQR is less sensitive to extreme values or outliers, which can affect the range significantly. In the case of the histograms provided, it appears that Sunny Town is skewed and Desert Landing is roughly symmetric, which further supports the use of IQR as a measure of variability.
Therefore, we can calculate the IQR for both sets of data and compare them to determine which location has the most consistent temperature.
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Can’t figure it out
Answer:
b
Step-by-step explanation:
1234567898765432123456789x12312413534564576568469 divided by -0000000000012340001233425
Answer:
down....
Step-by-step explanation:
-1.231807859542612e+17
Answer: 5
Step-by-step explanation:
how to solve V = 1/3 Ah for h
Answer:
(3V)/A = h
Step-by-step explanation:
V = 1/3 Ah
Solve the literal equation using inverse operations;
V = 1/3 Ah
*3 *3
3V = Ah
/A /A
(3V)/A = h
In how many years the interest of Rs 25000 at 5.5% per year will be Rs3300?
Plzz help!!!
Answer:
37.82 year(s)
Step-by-step explanation:
double check tho, i might be using different method or my ans could be wrong since you gave literally no info on your specific task