Answer:
BELOW
Step-by-step explanation:
For RIGHT TRIANGLES sin (L ) = opposite LEG / Hypotenuse
sin (L ) = 21/35 = 3/5
Given ABCD is a parallelogram.From B draw a line meets CD at M ; from D draw a line meets BC at N such that BM = DN . Intersection of DN and BM is point I. Prove that IA is a bisector of ∠BID
ABCD is a parallelogram and ∠ BID is equal to ∠ BAI, which means that IA is a bisector of ∠BID.
An angle's bisector divides the angle into two identical segments. We must demonstrate that ∠BID equals ∠ BAI in order to demonstrate that IA is a bisector of ∠BID.
Since ABCD is a parallelogram, we have:
AB || CD, which means that ∠ABD is equal to ∠ADC.
BC || AD, which means that ∠ ABC is equal to ∠ DAC.
Adding these equal angles, we have:
∠ABD + ∠ ABC = ∠ ADC + ∠ DAC
∠BDA = ∠CDA
Also, since BM = DN, we have:
∠DBM = ∠ DNM (by vertical angles)
Adding these equal angles, we have:
∠ BDA + ∠ DBM = ∠CDA + ∠ DNM
∠ BID = ∠ BAI
Therefore, we have shown that ∠ BID is equal to ∠BAI, which means that IA is a bisector of ∠BID.
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Calculate the tax for each of the taxable incomes of the head of household taxpayer
The tax for a head-of-household taxpayer with a taxable income of $27,811 is $3,103.
What do you mean by tax?Tax refers to a compulsory financial charge or some other type of levy imposed upon a taxpayer (an individual or legal entity) by a governmental organization in order to fund various public expenditures. The tax amount is typically determined by the taxpayer's income or wealth and is used to fund various public services such as national defense, infrastructure, social services, and other government operations. Taxes can be direct, such as income tax, or indirect, such as sales tax. They are typically collected by the government through various tax collection agencies, and failing to pay taxes can result in penalties and legal consequences.
From the tax table, for a taxable income of $27,811 (which is greater than $27,450 and less than $27,500), the tax for a head-of-household taxpayer is $3,103.
Therefore, the tax for a head-of-household taxpayer with a taxable income of $27,811 is $3,103.
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what happens to the power of a study if a statistician decides to decrease the overall alpha level from 0.10 to 0.05
The power of a study refers to the ability of a statistical test to correctly detect a difference or association in the population when it actually exists. Decreasing the overall alpha level from 0.10 to 0.05 would increase the power of the study.
The alpha level, also known as the significance level, is the probability of making a Type I error in a statistical test, which is rejecting the null hypothesis when it is actually true. By decreasing the alpha level, the statistical test becomes more stringent, and the likelihood of making a Type I error decreases.
For example, if the alpha level is 0.10, a statistically significant result would be achieved if the p-value (the probability of observing the test statistic under the null hypothesis) is less than or equal to 0.10. If the alpha level is decreased to 0.05, the p-value must now be less than or equal to 0.05 for the result to be considered statistically significant.
In general, decreasing the alpha level makes the test more conservative and increases the power of the study. However, this comes at the cost of increased likelihood of Type II error, which is failing to reject the null hypothesis when it is actually false.
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Martha can rake the leaves in her yard in 2 hours. Her brother can do the job in 6 hours. How long will it take them to do the job
working together?
Answer: 4 hours
Step-by-step explanation: the difference (6-2) = 4
The combined rate at which they complete the job is the sum of their individual rates, so their combined rate is 2 + 6 = 8 hours per job.
Therefore, they will do the job in 1/8 of the time it would take either of them working alone, so it will take them 1/8 of 2 hours = 15 minutes to do the job together.
A 2 pound bag of broccoli costs $1.92. What is the price per ounce.
The cost of broccoli per ounce is $0.06.
What is unit conversion?The same attribute is expressed using a unit conversion but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.
Given 2 pound bag of broccoli costs $1.92,
to find the cost per ounce
we know,
1 pound = 16 ounces
2 pound = 2*16 ounces
2 pound = 32 ounces
cost of 32 ounces = $1.92
cost per ounce = $1.92/32
cost per ounce = $0.06 per ounce
Hence per ounce, the cost is $0.06.
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The Price per ounce is $0.06.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A 2 pound bag of broccoli costs $1.92.
As, 1 pound = 16 ounce
So, the cost of 32 ounce of broccoli is 1.92.
Then, the price per ounce
= 1.92/ 32
= 0.06
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neck size, in inches, and number of teeth of 18 randomly selected puppies are compared. which significance test should be used to see if neck size and number of teeth have a linear relationship? assume all test conditions are met.
The appropriate test to see if neck size and number of teeth have a linear relationship in 18 randomly selected puppies is the t-test for slope of regression line.
A regression line is a line that best fits the data by minimizing the sum of the squared differences between the observed and predicted values. A t-test for slope of regression line tests the null hypothesis that the slope of the regression line is equal to zero, which would indicate that there is no linear relationship between the variables.
In this case, neck size and number of teeth are two continuous variables and we want to test if there is a linear relationship between them. A t-test for slope of regression line would provide information on the significance of the relationship and the direction of the relationship (positive or negative).
It is important to note that the test conditions such as independence, normality, and homoscedasticity must be met before conducting the test. If these conditions are not met, the results of the test may be biased and should be interpreted with caution.
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Complete Question: Comparing the neck circumference (in inches) and tooth count of 18 puppies chosen at random. Which statistical analysis should be performed to determine whether there is a linear relationship between neck size and tooth count? Assume that every test requirement is satisfied.
a. Z-test with two samples
b. T-test with two samples
c. Test of two proportions
d. T-Test for Regression Line Slope
e. Z-test for one proportion
Simplify.
3√27t^27
hi i need steps to simplify the equation for this question!
your friend claims that he can prove the parallelogram opposite sides theorem (thm. 7.3) using the sss congruence theorem (thm. 5.8) and the parallelogram opposite sides theorem (thm. 7.3). is your friend correct?
No, the assertion made by your buddy is false. It is impossible to utilize the parallelogram opposite sides theorem (Thm. 7.3) to demonstrate itself. You must employ known facts and theorems rather than the theorem you are attempting to show in order to prove a theorem.
If your buddy is utilizing the SSS congruence theorem (Thm. 5.8) and the parallelogram opposite sides theorem (Thm. 7.3) to demonstrate the theorem, they are not offering a proper proof since they are employing the theorem they are attempting to demonstrate as part of the proof itself. This results in a circular argument and is invalid as evidence
The parallelogram opposing sides theorem has to be proven using other well-known facts and theorems, like the definition of a parallelogram, the definition of congruent figures, and other relevant theorems and postulates from geometry.
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these two triangles are similar. find x
first triangle 8 , 6 second triangle 12 , x
The value of x is obtained as follows:
x = 9.
What are similar triangles?Similar triangles are triangles that share these two features presented as follows:
Congruent angle measures.Proportional side lengths.Considering the equivalent side lengths, the proportional relationship for this problem is given as follows:
8/6 = 12/x.
Applying cross multiplication, the value of x is obtained as follows:
8x = 72
x = 72/8
x = 9.
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What is the answer? i need help
The area of the base of the triangular prism is 3 inches square.
How to find the area of a figure?The figure above is a triangular prism. Therefore, the base of the triangular prism is a triangle.
Therefore, let's find the area of the base.
Hence,
area of the base = 1 / 2 bh
where
base of the triangleh = height of the triangleTherefore,
b = 5 inches
height = 1.2 inches
Hence,
area of the base = 1 / 2 × 5 × 1.2
area of the base = 6 / 2
Therefore,
area of the base = 3 inches²
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Use a graphing tool to solve the system.
1.5x−y3=182x−3y=43
Enter the coordinates of the solution in the boxes. Round each coordinate to the nearest hundredth.
The solution is, x= 50 & y= 19.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
given that,
1.5x−y3=18
2x−3y=43
solving the equations in graph , we get,
x= 50
y= 19
Hence, The solution is, x= 50 & y= 19.
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how to rewrite 2 4/3 in radical form
The required radical form of the given expression [tex](x^2)^{4/3}[/tex] is ∛x⁸.
What are the radical expressions?Any expression that contains a radical symbol is considered a radical expression. To find the square roots, cubic roots, and higher, radical symbols are used. For example, √7, √6, and √11 are in the radial form.
To rewrite [tex](x^2)^{4/3}[/tex]in radical form, you can simplify it by dividing the fractional part by the same number which will turn the fraction into a whole number. In this case, that number is 3.
So, you can simplify [tex](x^2)^{4/3}[/tex] as follows:
[tex](x^2)^{4/3}[/tex]
[tex]x^{2\times4/3}[/tex]
[tex]x^{8/3}[/tex]
[tex](x^8)^{1/3}[/tex]
∛x⁸
This is the radical form of [tex](x^2)^{4/3}[/tex].
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1
32^1/25 × 2^x = 8^1/4
Work out the exact value of x
Answer:
Step-by-step explanation:
0.267
Leo is training for a marathon later this summer. He has run 42 miles over the
last 3 days. If he continues to run at the same rate, how many miles will he run
over the next 6 weeks?
A 84 miles
B 364 miles
C 402 miles
D 588 miles
Answer:
D 588 miles
Step-by-step explanation:
We know
Leo is training for a marathon later this summer. He has run 42 miles over the last 3 days.
42 divided by 3 = 14 miles per day
So, he runs at a rate of 14 miles per day.
If he continues to run at the same rate, how many miles will he run over the next 6 weeks?
1 week = 7 days
1 week = 14 x 7 = 98 miles
6 weeks = 98 x 6 = 588 miles
So, he will run 588 miles over the next 6 weeks.
A portable air conditioner with an original price of $680 has 10% GST added to it. It is then sold at an end-of-year sale for '10% off. Is the sale price of the air conditioner more than, less than, or equal to its original price? Justify your answer by calculation
The air conditioner is being sold for $673.20. The discount price is lower than the initial price of $680 because this is less. The air conditioner is therefore being sold for less than what it originally cost.
What does GST stand for?A singular tax known as GST is applied to the supply of products and services from the customer to the manufacturer. GST is basically a tax only on productivity improvement at each stage because credits of supply taxes paid at each step will be accessible in the following stage of value addition.
The first step is to calculate the GST that is added to the original price of the air conditioner:
GST = 10% of $680 = 0.1 x $680 = $68
So the total cost of the air conditioner including GST is:
Total cost = $680 + $68 = $748
Now, the air conditioner is sold at a 10% discount. To find the sale price, we need to subtract 10% of the total cost from the total cost:
Sale price = Total cost - 10% of Total cost
= $748 - 0.1 x $748
= $748 - $74.80
= $673.20
The sale price of the air conditioner is $673.20.
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How much of the circle is shaded write your answer as a fraction in simplest form one for 1/4 2/7
Step-by-step explanation:
The circle as a whole is one.
So to find the shaded area find a common denominators for both first
1/4 = 7/28
2/7= 8/28
Add the two together
7/28 + 8/28 = 15/28
This is the area taken up the the white fractions areas
Now because the circle is one
28/28 - 15/28 = 13/28
So the area of the blue is
13/28
Hope this helped :)
I'LL GIVE BRAINLIEST !!!!
The distance from two golf balls to the hole is 8 feet and 13 feet, respectively. If both balls are hit directly into the hole, the angle formed by their pathways is 64. Find the distance between the golf balls
The distance between the golf balls is determined to be 14 feet.
Let's call the distance between the two golf balls "d".
Using the law of cosines, we can find the value of d by using the angles and the two distances to the hole:
d² = 8² + 13² - 2 * 8 * 13 * cos(64)
d² = 64 + 169 - 104 * cos(64)
d² = 233 - 104 * cos(64)
Next, we'll use a calculator to find the value of cos(64):
cos(64) = 0.37
So,
d² = 233 - 104 * 0.37 = 233 - 38.48
d² = 194.52
Finally, we'll take the square root of both sides to find the value of d:
d = √(194.52) = 14.0
So the distance between the golf balls is 14 feet.
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find the total cost a) The radius of a circular field is 63 m. Find the perimeter of the field. Also, find the length of wire required to fence it with 5 rounds. =
The perimeter of the circle is 395.64 m, and the length of wire needed to fence it with 5 rounds is 1,978m
How to find the perimeter?We kow that for a circle, the perimeter is equal to its circumference, and the circumference of a circle of radius R is:
C = 2*pi*R
Where pi = 3.14
Then the perimeter of a circle of radius of 63m is:
Perimeter = 2*3.14*63m = 395.64 m
And the length of wire needed to fence it with 5 rounds is 5 times that, so we will get:
total length = 5*395.64 m = 1,978m
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WILL GIVE brainliest
Answer: 12.2
Step-by-step explanation: I did 8 times 6.3= 50.4
Then 8 times 4.4=35.2.
50.4-35.2=15.2 then minus the 3 is 12.2
Which expression is equivalent to x^2 + 10x + 24?
(x + 12)(x - 2)
(x + 8)(x + 2)
(x + 6)(x + 4)
(x + 8)(x + 3)
Answer:
(x + 6)(x + 4)
Step-by-step explanation:
x² + 10x + 24
= x²+ 6x + 4x + 24=0
= x(x + 6)+4(x + 6)
= (x + 6)(x + 4)
Answer:
(x + 6)(x +4)
Step-by-step explanation:
Factorization by splitting the middle term:x² + 10x + 24
Sum = 10
Product = 24
Factors = 6 , 4
{When we multiply 6 and 4, we get 24 & when we add 6 and 4, we get 10}
x² + 10x + 24 = x² + 6x + 4x + 24 {Rewrite the middle term using the factors}
= x(x + 6) + 4 (x + 6)
{Group the first two terms and third & fourth term together. Then take out the common factors}
= (x + 6)(x + 4)
in investigation 2, if you were to double the length of the paper strip you dropped through the tape timer, would the number of dots on the paper also double?
Yes, when the length of the paper strip doubles, so will the number of dots on it.
Yes, when the length of the paper strip doubles, so will the number of dots on it. This is the case because the dots are uniformly spaced apart, and the total number of spaces between the dots doubles as the length of the strip does. As a result, to occupy the same number of spaces as the strip's length, the number of dots must also double. The same rule holds true for every paper strip of any length; increasing the strip's length will result in doubling the number of dots on it. The quantity of dots on the paper strip is therefore directly proportional to the length.
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Find the coordinates of point P that lies along the directed line segment from M to N and partitions the deferment in the ratio 3 to 2
The coordinates of point P that lies along the directed line segment from M to N and partitions the deferment in the ratio 3 to 2 is (6/ 5 , 0).
What is section formula?The line segment is divided into two pieces by a point, which may or may not be equal. If we know the coordinates of the point, we may calculate the ratio by which the supplied line segment is divided. Additionally, if we are aware of the ratio that the line segment connecting two places has produced, we can locate the point of division. The two can be accomplished using a section formula from coordinate geometry.
The coordinates of the points on the line are:
M = (-3, -3)
N = (4, 2)
m= 3
n = 2
Using the section formula we have:
M(x, y) = (mx2 + nx1 / m+n , my2 + ny1 /m + n)
M(x, y) = ((3)(4) + (2)(-3)) / (3 + 2) , (3)(2) + (2)(-3) / (3 + 2))
M (x, y) = (12 - 6 / 5 , 6. -6 / 5)
M (x, y) = (6/ 5 , 0)
Hence, the coordinates of point P that lies along the directed line segment from M to N and partitions the deferment in the ratio 3 to 2 is (6/ 5 , 0).
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Order them to least to greatest
Answer:
[tex]-\frac{3}{2} , -\frac{4}{9} , \frac{2}{11}, 0.7[/tex]
Step-by-step explanation:
Negative numbers are obviously smaller than positive numbers, hence, we have -4/9 and -3/2.
-3/2 is obviously have a smaller value than -4/9 as the mixed number for it is -1 1/2. [In negative numbers, the larger the number, the smaller the value it holds.]
[tex]0.7= \frac{7}{10}[/tex]
We can turn the denominator of 2/11 and 7/10 to the same number, 110.
[tex]\frac{2}{11} = \frac{20}{110}[/tex]
[tex]\frac{7}{10} = \frac{77}{110}[/tex]
Hence, we know that 77 is larger than 20, so, the largest number is 0.7.
North Carolina has 12 less electoral votes than Florida. Write and solve a subtraction equation to find the number of electoral votes for Florida
Answer: Let's use "x" to represent the number of electoral votes in Florida. Then, we can write the equation for North Carolina's number of electoral votes as "x - 12".
The equation can then be written as:
x + (x - 12) = total number of electoral votes
Solving for x, we get:
2x - 12 = total number of electoral votes
2x =total number of electoral votes + 12
2x = total number of electoral votes + 12
x = (total number of electoral votes + 12)/2
So, the number of electoral votes for Florida is (total number of electoral votes + 12)/2.
Note: The total number of electoral votes for both states needs to be known in order to solve for the number of electoral votes in Florida.
Step-by-step explanation:
Bonjour j'ai besoin d'aide.
Merci de votre aide.
Answer: en fait je ne sais pas désolé
Step-by-step explanation: désole.
in a positively skewed distribution, the peak of the distribution corresponds to which measurement(s)? a. the median only b. the mean only c. the mode, mean, and median d. the mode only
The correct answer is option d. the mode only.
Positively skewed distribution:
A positively skewed distribution, also known as a right-skewed distribution, is a type of distribution in statistics in which most values are centered around the left tail and the right tail is longer. The distribution that is positively skewed is the exact opposite of one that is negatively skewed.
Positively skewed data differ from normally distributed data. The following inequality can be used to represent the general relationship between the central tendency measurements in a positively skewed distribution:
Mean > Median > Mode
Here
The peak of the distribution corresponds to the mode only
Therefore,
The correct answer is option d. the mode only.
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Simplify the expression. Explain each step. (12+x)+2
Answer:
Step-by-step explanation:
The answer is x + 14. If just adding 2 to (x + 12), the parenthesis can be disregarded.
At a specific spot along the coast of North Carolina, the continental shelf extends out from the shoreline into the ocean. At that point, the depth of the water is . From there, the ocean floor slopes down to the oceanic crust which begins from the shoreline at a depth of . Find the slope of the ocean floor connecting the edge of the continental shelf and the beginning of the oceanic crust. That section of the ocean floor is called the continental slope.
The slope formula to calculate the slope of the ocean floor would be
[tex]slope = \frac{y}{x}[/tex].
What is slope?
The slope of a line characterizes its direction.
To find the slope of the ocean floor, we need to calculate the rise (change in depth) and the run (distance along the ocean floor) between the edge of the continental shelf and the beginning of the oceanic crust.
Let's call the depth of the water at the edge of the continental shelf "d1" and the depth of the water at the beginning of the oceanic crust "d2". Then, the rise is:
rise = d2 - d1
We don't have the actual values for d1 and d2, so let's call the rise "y" and the run "x". Then, the slope of the ocean floor is given by:
[tex]slope =\frac{rise}{run} \\\\slope = \frac{y}{x}[/tex]
So, we can use the slope formula to calculate the slope of the ocean floor.
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pls pls help lol
i need this hw done for tomorrow
Answer:
a=4
b=18
c=30
d=46
e=60
Step-by-step explanation:
you first write the 4 and then add 14 i.e the next number on the frequency row. then you add the next number to the answer you get and so on
the total of two number is 146
one of the number is a multiple of 11
the other one is a multiple of 17, find the two numbers
The two amount of numbers are 11 and 135. 11 is a multiple of 11 and 135 is a multiple of 17. The sum of the two numbers is 146.
Step 1: One of the numbers is a multiple of 11
Let the number be 11x, where x is an integer
Step 2: The total of the two numbers is 146
Therefore, 11x + 17y = 146, where y is an integer
Step 3: Solve the equation
11x + 17y = 146
11x = 146 - 17y
x = (146 - 17y) / 11
Step 4: Find the two numbers
x = (146 - 17y) / 11
For y = 1, x = 11
Therefore, the two numbers are 11 and 17.
The two numbers that add up to 146 are 11 and 135. 11 is a multiple of 11, which means it is divisible by 11 without any remainder. 135 is a multiple of 17, which means it is divisible by 17 without any remainder. When these two numbers are added together, the sum is 146. This means that 11 and 135 are the two numbers that add up to 146. 11 is a multiple of 11 and 135 is a multiple of 17, which explains why the sum of the two numbers is 146. The two numbers together can be used to represent a variety of different mathematical equations, such as the addition of two integers or the multiplication of two fractions. Knowing the two numbers that add up to 146 can be useful in a variety of different scenarios, such as solving math problems or accounting for the total of two items.
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