Answer:
76 ounces
Step-by-step explanation:
I'm assuming you meant:
5lb+7oz-11oz=
16 ounces in a pound
5lb+7oz-11oz=
80+7-11=
87-11=
76 ounces
the exact value of sin 5pi/12 is
The exact value of sin(5π/12) is (√6 + √2)/4
Calculating the exact value of sin 5pi/12From the question, we have the following parameters that can be used in our computation:
sin 5pi/12
Express properly
So, we have
sin(5π/12)
Convert the angle to degrees
This gives
sin(5π/12) = sin(5/12 * 180)
Evaluate
sin(5π/12) = sin(75)
The actual value of sin(75) is (√6 + √2)/4
This means that
sin(5π/12) = (√6 + √2)/4
Hence, the exact value of sin(5π/12) is (√6 + √2)/4
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The exact value of sin 5π/12 is (√6 + √2)/4
What is trigonometric function?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Angle in trigonometry can be measured in either degree or radian.
π is a measurement in radian which is equivalent to 180° in degrees.
Therefore:
5π/12 = 5 × 180/12
= 75°
Therefore sin5π/12 = sin75°
sin75 = sin( 45+30) = sin45cos30+ cos 45sin30
= 1/√2 × √3/2 + 1/√2 × 1/2
= √3/2√2 + 1/2√2
= (√3+1)/2√2
rationalizing;
(2√6 + 2√2)/8
dividing through by 2
=(√6 + √2)/4
therefore tan75 =(√6 + √2)/4
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Describe the figure use parallel perpendicular or intersecting use the most specific term
Answer:
Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.
Someone please help and show work
Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.
11+13+14+16+17+18+20+20+21+24+25+29 = 228
There are 12 numbers, so divide by 12.
228/12 = 19. The mean is 19.
Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.
(Side note: yes, median and mean can be the same.)
Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.
Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.
Does anyone know please
Answer:
the answer would be A 16cm
DeMaria Corporation, a calendar year corporation, generates the following taxable income (net operating losses) since its inception in 2016: Year Taxable result 2016 40,000 2017 (15,000) 2018 (5,000) 2019 6,000 Assuming Demaria makes no special elections with regard to NOLs, what is DeMaria's net operating loss carryforward into 2020?
Answer:
Carry-forward to 2020 = $200
Step-by-step explanation:
In case of no election with regards to NOL, For year prior 2018, NOL will automatically carryback.
But after year 2018, NOL can only be carryforward inficately, lessor of actual NOL or 80% of taxable income.
Therefore, NOL of $15,000 will be carried back
But loss of $5,000 will be carryforward up to 80% of Taxable Income in 2019
NOL Offset in 2019 - Lessor or $5,000 or $6,000*80% = $4,800
Carry forward to 2020 = $5,000 - $4,800 = $200
A shadow 12 meters long is cast by a water tower that is 16 meters tall. What is the length of the shadow cast by a nearby utility pole that that is 12 meters tall?
A. 6
B. 9
C. 13
D.16
perdón xbdkdbsjjznsNxnznxn
Data will be collected on the following variables. Which variable can be considered discrete? A. The height of a person B . The weight of a person C. The length of a person’s arm span D The time it takes for a person to solve a puzzle E The number of books a person finished reading last month
Answer: E: The number of books a person finished reading last month
Step-by-step explanation:
First, a discrete variable is a variable that only can take some given values in a set, the discrete variables are usually not dense, and a continuous variable is a variable that can take any value in a range (where the accepted values are dense).
So, for example, the set of the natural numbers is discrete, and the set of the real numbers can represent a continuous variable.
Here the only option that is really discrete will be the number of books that a person finished reading last month because here only positive whole numbers are accepted (you can not finish a 0.454 of a book)
The other options are continuous because all are classical measures.
For example, the weight of a person can jump between:
75.6kg and 75.7kg.
So you could think that this is discrete because the values between 75.6kg and 75.7g are not shown with our measuring device, but those will be added in the error of the measure because the weights between 75.6kg and 75.7kg are actually possible, so they must be accepted.
Option E is right.
A. The height of a person. Height is a continuous variable.
B . The weight of a person. Weight is a continuous variable.
C. The length of a person’s arm span. Length is a continuous variable.
D. The time it takes for a person to solve a puzzle. Time is a continuous variable.
E. The number of books a person finished reading last month. The number of books is discrete variable.
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Enter the number that belongs in the green box
The angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.
To find the measure of the angle between the sides measuring 4 and 5 in an obtuse triangle with side lengths 4, 5, and 7, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and an angle opposite to side c, the following equation holds:
\(c^2 = a^2 + b^2 - 2ab*cos(C)\)
In this case, we have side lengths a = 4, b = 5, and c = 7. We want to find the angle C, which is opposite to side c. Substituting these values into the Law of Cosines, we get:
\(7^2 = 4^2 + 5^2\)- 2(4)(5)*cos(C)
49 = 16 + 25 - 40*cos(C)
49 = 41 - 40*cos(C)
40*cos(C) = 41 - 49
40*cos(C) = -8
cos(C) = -8/40
cos(C) = -0.2
To find the measure of angle C, we can take the inverse cosine (arccos) of -0.2:
C = arccos(-0.2)
Using a calculator, we find that C ≈ 101.54 degrees.
Therefore, the measure of the angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.
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A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
What is the sample size? Give only the number:
The margin of error for this data set is 2.5%. What is the 95% confidence interval for those who say they felt fully engaged with their mortgage provider (rounded to 1 decimal place)?
The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.
First, let's calculate the margin of error:
Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055
Next, we can calculate the lower and upper bounds of the confidence interval:
Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%
Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%
Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
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25 POINTS HELP ME ASAPPPPPPPPPPPPPPPP!!!!!!
Answer:
1/6?
Let's do it...
( (3^(3/4))/(3^(3/8)) )^4/9
According to indices rules here the denominator and numerator has the same base and they are dividing so the powers will subtract..... Its just a formulae not rocket science so don't freak out.
So ( 3^(3/4 - 3/8)) ^4/9
= ( 3^(3/8)) ^4/9
Again with indices rule the powers will multiply
Which will return us 3^1/6 which corresponds 3^x..... Hence x =1/6
Thank you
\( \boxed{ \boxed{x = \frac{1}{6} }}\)
Solution :\( \hookrightarrow \: {\bigg( \dfrac{3 {}^{ \frac{3}{4} } }{ {3}^{ \frac{3}{8} } } \bigg) }^{ \frac{4}{9} } \)
\( \hookrightarrow \: {(3 {}^{ \frac{3}{4} } \div 3 {}^{ \frac{3}{8} } ) } ^{ \frac{4}{9} } \)
\( \hookrightarrow \: {(3 {}^{ \frac{3}{4} - \frac{3}{8} } ) }^{ \frac{4}{9} } \)
\( \hookrightarrow \:{ (3 {}^{ \frac{3}{8} } ) }^{ \frac{4}{9} } \)
\( \hookrightarrow \: 3 {}^{ \frac{3}{8} \times \frac{4}{9} } \)
\( \hookrightarrow \: {3}^{ \frac{1}{6} } \)
therefore,
the required value of x is 1/6
In ΔEFG, e = 34 inches, f = 73 inches and g=89 inches. Find the area of ΔEFG to the nearest square inch.
Step-by-step explanation:
Heron's formula when all 3 sides (a, b, c) are given :
s = (a + b + c)/2
A = sqrt(s(s-a)(s-b)(s-c))
in our case
s = (34+73+89)/2 = 98
A = sqrt(98(98-34)(98-73)(98-89)) =
= sqrt(98×64×25×9) = sqrt(98)×8×5×3 =
= sqrt(2×49)×120 = sqrt(2)×7×120 =
= sqrt(2)×840 = 1,187.939392... ≈ 1,188 in²
Is D correct? if not what is? and how many months with the population of the towns be equal
Answer:
≈ 10 month
Step-by-step explanation:
50m-38600 = 40600-150m
200m = 2000
m = 10
Answer idhfbfhfnffdvdbbdbdd
Simplify the expression StartFraction a b Superscript 3 Baseline over a Superscript 4 Baseline b EndFraction plus left-parenthesis c Superscript 2 Baseline right-parenthesis Superscript 3 Baseline
The simplification of the expression ab³/a⁴b + (c²)³ is determined as b²/a³ + c⁶.
What is the simplification of the expression?The given expression is simplified as follows;
The given expression is written as;
ab³/a⁴b + (c²)³
To simplify the expression given above, we will divide the fraction with the common factor as follows;
From the numerator; ab³, we will factor out "ab"
From denominator; a⁴b, we will factor out "ab"
The resulting expression becomes;
ab³/a⁴b + (c²)³
= b²/a³ + c⁶
Note: for the power of c, we simplify by multiplying 2 and 3 = 6
Thus, the simplification of the expression ab³/a⁴b + (c²)³ is determined as b²/a³ + c⁶.
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may you pls help me i do not know how to do it
Answer: 118
Step-by-step explanation:
The two figures' angles are identical so the angles would have the same measurements
Solve for x. Round to the nearest tenth, if necessary.
Using Trigonometry, the value of x in the right triangle is 17.1
Since we have a right angle triangle ; The angle L can be obtained thus ;
L = 180 - (90+67)
L = 23
Using Trigonometry:
Sin23° = opposite/ hypotenuse
Opposite= 6.7
hypotenuse= x
Sin23° = 6.7/x
x = 6.7/sin(23°)
x = 17.14
Therefore, the value of x to the nearest tenth is 17.1
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solve the variable of x. 3^3^x= 1/243
Answer:
-5
Step-by-step explanation:
Solve the following using synthetic division: (a^3-9a^3+15a+24)/(a+8)
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.−8a2+64a−497+4000a+8
Find the sum of 458 and 342
Answer: 800
Step-by-step explanation:
Expert Card has an APR of 16.2% compounded monthly. Passport has a daily periodic interest rate of 0.0398%. Explore has a monthly periodic interest rate of 1.35%. Which card has the higher APR?
Answer:
Explore is Answer
Step-by-step explanation:
Hello ! Help pls! It needs to be 9 answers
answers in order of the maze:
41, 47, 48, 40, 46, 53, 47, 35, 49 (finish)
a wheelbarrow can can carry up to 300 lbs of weight. a bag of soil weighs 20 lbs. write a multiplication inequality to show the number of bags (b) the wheelbarrow can carry
The multiplication inequality that shows the number of bags (b) the wheelbarrow can carry is 20b ≤ 300.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
The wheelbarrow can carry upto = 300 lbs
The bag of soil weighs = 20 lbs.
Now,
Number of bags of soil = b
We can write an inequality for the number of bags of soil the wheelbarrow can carry.
20b ≤ 300
Thus,
20b ≤ 300 is the multiplication inequality to show the number of bags (b) the wheelbarrow can carry.
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5) A woman drinks 8 bottles of water in 2 days. How many bottles of water would she drink in 4 days?
Go step by step to reduce the radical.
Square Root 200
Answer:
10 root 2
Step-by-step explanation:
root 200 = root 2 × root 100 = 10 root 2
Which is the most accurate way to estimate 26% of 66
The most accurate way to estimate the percentage of the given value = ¼×66. Which is option C
What is percentage?Percentage is defined as the representation of a given value all over 100 and is given with a symbol of %.
The given value.= 66
The 26% of 66 would be given as follows;
26/100 × 66/1
= 1716/100
= 17.16
Therefore, the most accurate way to represent 26 percentage of 66 would be = ¼ × 66 which would be = 16.5 and is approximately 17.
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Complete question:
Which is the most accurate way to estimate 26% of 66
¼×64
⅔×60
¼×66
⅔×60
Need help to see if this is has a euler path?
If a graph G has an Euler path, then it must include precisely two odd vertices. Or, to put it another way, G cannot have an Euler path if the number of odd vertices is less than 2.
What is the Euler Theorem?A graph lacks Euler pathways if it contains more than two odd-degree vertices. 2. A graph contains at least one Euler path if it is connected and has exactly two vertices of odd degree or fewer. 3. If a network is connected and has 0 vertices of odd degree, it must contain at least one Euler circuit.If a graph G has an Euler path, then it must include precisely two odd vertices. Or, to put it another way, G cannot have an Euler path if the number of odd vertices is less than 2. In other words, v must have an even vertex.To learn more about Euler path refer to:
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Complete this puzzle using each of these numbers only once : 2, 4, 5, 7, 8, 11, 13, 14, 16 Put the even numbers in the squares and the odd nurmbers in the circles. Each row of three numbers must add up to 26.
Here is one solution to the puzzle:
Squares: 2, 8, 16
Circles: 5, 7, 14
Total: 26
You can verify that each row of three numbers adds up to 26: 2 + 8 + 16 = 26, 5 + 7 + 14 = 26.
What are even and odd numbers?An even number is a number that can be divided into two equal groups. An odd number is a number that cannot be divided into two equal groups. Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have. Odd numbers end in 1, 3, 5, 7, 9.
Therefore, the correct answer is as given above
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It took Davina 45 minutes to clean her room. How many seconds did it take her
Answer:
2700
Step-by-step explanation:
i think
Find the area of the polygon. 10cm 10cm 16cm
Answer:
see the attachment photo!
please help!!!!!!!!!!!!!!!!!!
Answer:
1x2=2 3x3x1=3
Step-by-step explanation: