Applying the centroid theorem of a triangle, the length of CG is: 26.
Recall:
Medians join the vertices to the midpoint of the opposite sides of a triangle.The center that all the three medians intersect at is called the centroid.Based on the centroid theorem, the distant from the centroid to the vertex = 2/3 of the median length.Triangle ABC is shown in the image attached below. G is the centroid.
CF = 39 (median)
CG = 2/3(CF) ---> Centroid Theorem.
SubstituteCG = 2/3(39)
CG = 26
Therefore, applying the centroid theorem of a triangle, the length of CG is: 26.
Learn more about centroid theorem on:
https://brainly.com/question/20627009
All above -the line adjustments that do not have corresponding input lines on Schedule 1 ( Form 1040 are indicated as
A. Write -in adjustment
B. Write -in deductions
C. Miscellaneous adjustments
D. Miscellaneous deductions
The correct option is A. Write-in adjustments All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are indicated as write-in adjustments.
All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are referred to as write-in adjustments. Line 36 of Schedule 1 is where all write-in adjustments are reported. You have to provide a brief explanation of the adjustment and the corresponding amount for each write-in adjustment.If the IRS has developed an input line for a particular write-in adjustment, taxpayers must use that input line to report the adjustment.
When writing in adjustments, taxpayers must ensure that the amount they enter is calculated and that they have a reasonable explanation for the adjustment. Taxpayers may be required to provide documentation to support the adjustment if the IRS requests it.
Miscellaneous adjustments and miscellaneous deductions are not used to describe all above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040).
Therefore, options C and D are incorrect. The correct option is A. Write-in adjustments.
To know more about corresponding visit:-
https://brainly.com/question/12454508
#SPJ11
In the invoice that specifies the side lengths of the triangular sail as 7.5 meters, 4.8 meters, and 2.5 meters, suppose the mistake was in the length of 2.5 meters. Determine the range of values that are possible for the third side length, x, of the sail.
Answer:
2.7 < x < 12.3 meters
Step-by-step explanation:
You want to know the possible lengths of the third side of a triangle, given that two sides are 7.5 m and 4.8 m.
Triangle inequalityThe triangle inequality requires the sides of a triangle have the relationship ...
a + b > c
for any assignment of side lengths to the letters a, b, c. In effect, this means the length of a third side must lie between the sum and the difference of the other two sides.
7.5 -4.8 < x < 7.5 +4.8
2.7 < x < 12.3 . . . . . meters
ill mark brainlist pllsss helpp
Answer:
54mi.
Step-by-step explanation:
multiply 84 x 9 = 756
divide 756/14 = 54
Answer:
It is the second option
Step-by-step explanation:
Click on the photo for explanation
what is the likelihood of choosing a blue marble from a bag containing 8 red, 6 yellow, 12 green, and 6 blue marbles
Answer:
6/32 or 3/16 chance
Step-by-step explanation:
Adding all of the marbles up we get our total, 32.
We have 6 blue marbles so 6/32 or 3/16 chance of picking a blue marble.
Answer:
6/32 or u can simplify it to 3/16
Plzzzzz give me Brainliest!!!!!
Find the slope of a line parallel to a line containing points (3,-5) and(1,7)
Answer:
Required slope = - 6
Step-by-step explanation:
Parallel lines have same slope.
(x₁ , y₁) = (3 , -5) & (x₂ , y₂) = (1, 7)
\(Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
\(= \frac{7 - [-5]}{1-3}\\\\=\frac{7+5}{1-3}\\\\=\frac{12}{-2}\\\\= -6\)
Slope of the a line parallel to a line = -6
Please help me on this
The criteria that we could use to prove the congruency that ΔABC ≅ ΔDEC is;
Vertical Angles are Congruent. We could then use AAS to prove that ΔABC ≅ ΔDEC
How to find the Triangle Congruence Postulate?There are different triangle congruency postulates namely:
SSS: Side Side Side Congruency Postulate
SAS: Side Angle Side Congruency Postulate
ASA: Angle Side Angle Congruency Postulate
AAS: Angle Angle Side Congruency Postulate
HL: Hypotenuse Leg Congruency Postulate
We want to prove that ΔABC ≅ ΔDEC
Now, from the given image, we see that we are given 2 congruent sides.
However, angle ECD is congruent to angle DCA because they are vertically opposite angles and vertical angles are congruent.
Thus, the triangles are congruent by AAS Congruency postulate.
Read more about Triangle Congruence Postulate at; https://brainly.com/question/29268713
#SPJ1
In the diagram, x is a negative number and y is a positive number. Select the expression that is a positive.
Answer choices:
x(y)
x - y
y/x
y - x
Answer:
Option 4: y -x
Step-by-step explanation:
Option 1
Multiplying a positive and a negative number will result in a negative number.
For example, if x= -1 and y=5,
x(y)= -1(5)= -5 (a negative number)
Thus, option 1 is incorrect.
Option 2
In this option, we are essentially multiplying -1 to y, a positive number, before adding the result with x.
Since y is a positive number, -y is a negative number and hence x -y (when x is a negative number) will result in a negative number. Let's plug in values into x and y to check this.
For example, x= -2 and y=3.
x -y= -2 -3= -5
Option 2 is thus incorrect.
Option 3
Dividing a positive number with a negative number will result in a negative number.
For example: 6÷(-2)= -3
Option 3 is also incorrect.
Option 4
Subtracting a negative number from a positive number will result in a positive number.
For example: x= -1, y= 8
y -x= 8 -(-1)= 8 +1= 9
As seen from the example above, when the negative number is multiplied to negative 1, a positive sign results.
In summary, when a positive number is multiplied to a positive number, the resulting number is positive.
When a negative number is multiplied to a negative number, the resulting number is positive.
When a positive number is multiplied to a negative number, the resulting number is negative.
+(+)= +
-(-)= +
+(-)= -
This applies to division too.
Find the value of x. X=
Answer: x=9
Step-by-step explanation:
24/36=6/x
24/36=2/3
2*3=6
3*3=9
Answer:
x= 12
Step-by-step explanation:
which one matches g + 0
0 or g
a random sample of 1000 people from california (population over 35,000,000) and 1000 people from rhode island (population just over 1,000,000) was taken by the gallup poll. which is correct?
Option D is the right choice.
The Gallup poll randomly selected 1000 individuals from Rhode Island (population just over 1,000,000) and 1000 individuals from California (population over 35,000,000). Because both samples have the same sample sizes, it can be assumed that they will be roughly equally accurate.
Taking a poll in the US. The department of Gallup that routinely conducts public opinion polls is called The Gallup Poll. In the form of data-driven news, Gallup Poll findings, analysis, and videos are released every day.
A simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a method of choosing a sample at random. Random sampling makes sure that the findings you get from your sample should be close to what you would have gotten if you measured the complete population.
The Gallup survey randomly selected 1000 individuals from Rhode Island (population just over 1,000,000) and 1000 individuals from California (population over 35,000,000). Because both samples have the same sample sizes, it may be assumed that they will be roughly equally accurate.
Therefore, Option D is correct.
To know more about Random Samples, refer to this link:
https://brainly.com/question/15171483
#SPJ4
COMPLETE QUESTION:
A random sample of 1000 people from California (population over 35,000,000) and 1000 people from Rhode Island (population just over 1,000,000) was taken by the Gallup Poll. Which is correct?
a) The sample from California will be more biased because the sampling fraction is smaller
b) The sample from Rhode Island will be substantially more accurate than that from California because a higher sampling fraction was chosen.
c) The sample from California will have a larger sampling error than from Rhode Island because less of the population is sampled.
d) Both samples will be approximately equally accurate because the sample sizes are the same
subtract
2×1/5−(−3×1/6)
Answer:
= 9/10
Step-by-step explanation:
- × - = +
Then:
2×1/5 = (2×1)/5 = 2/5 = 12/30
-(-3×1/6) = +(3*1)/6 = 3/6 = 15/30
Then:
2×1/5-(-3×1/6) = 2/5 + 3/6 = 12/30 + 15/30 = (12+15)/30 = 27/30
27/30 = 9/10
WILL MARK YOU BRAINLIEST SHOW YOUR WORK PLZ!!! 6-7
Answer:
Number 6 is x=65 number 7 is x=-1
Step-by-step explanation:
I just did number 6 on another persons page but ill repeat it as best i can
You're going to set to X plus 2 = 3X -63 then you are going to subtract 2X from both sides which will leave you 2 equals X -63 and then you add 63 to both sides which will leave you x equals 65
Number 7
2X plus 20=6X plus 24
1st Subtract 2X from both sides which will leave you with 20 = 4X plus 24
2nd you're going to subtract 24 from both sides Which will leave you with negative 4 = 4X
Then you're going to divide both sides by 4 which will leave you with X equals negative one
At the beginning of a snowstorm, Sydney had 11 inches of snow on her lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Sydney have on her lawn 3 hours after the snow began to fall? How much snow would Sydney have on her lawn after tt hours of snow falling?
snow after 3 hours?=
snow after t hours?=
Answer:
She would gain 1.5 inches after 3 hours. She would then have 12.5 inches on her lawn.
Answer:
snow after 3 hours=12.5
snow after 1 hour=11.5
Step-by-step explanation:
1.take 0.5 and multiply it by 3 then take that and add it by 11 and that's how you get the sum for 3 hours.
2.take 0.5 and add it by 11 and that's how you get the sum for 1 hour.
Pilots use precise decimal numbers to determine their altitude when flying. one airplane is flying at a height of 37,890.52 kilometers. another airplane flies at a height of 37,890.89 kilometers. which airplane has a higher altitude? explain how you know.
The second airplane, with a height of 37,890.89 kilometers, has a higher altitude than the first airplane, which is at 37,890.52 kilometers.
To determine which airplane has a higher altitude, we can compare the decimal parts of the altitudes provided.
The first airplane is flying at a height of 37,890.52 kilometers, and the second airplane is flying at a height of 37,890.89 kilometers. Comparing the decimal parts, we can see that 0.52 is smaller than 0.89.
In the decimal system, as the digits move to the right of the decimal point, their value decreases. So, when comparing two numbers with the same whole part (37,890 in this case), the one with a higher decimal part will be greater.
Therefore, the second airplane, with a height of 37,890.89 kilometers, has a higher altitude than the first airplane, which is at 37,890.52 kilometers.
Learn more about statistics here:
https://brainly.com/question/15525560
#SPJ8
Identify ALL of the constants & coefficients of the following equation:
1/2b-16= -4
Answer:
1/2b=-4+16
1/2b= 12
b=12×2
b=24
Answer:
constants = -16 and -4
coefficients are 1/2
Step-by-step explanation:
a constant is a number not attached to a variable. a coefficient is a number attached to a variable
An experiment is broken up into two parts. In the first part of the experiment, a six-sided die is rolled. In the second part of the experiment, a dime is tossed in the air. What is the probability of landing on tails?
Answer:
The answer is %50.
Step-by-step explanation:
Since the rolling of the six-sided die and the tossing of the dime are seperate events, their probabilities do not affect each other. Therefore the probability of the dime landing on tails should be %50.
I hope this answer helps.
how do I add exponent denominator and numerator
Answer:
multiply
Step-by-step explanation:
Answer:If terms have the same base a and same fractional exponent n/m, we can add them. The rule is given as:
Can/m + Dan/m = (C + D)an/m
Here’s an example of adding fractional exponents:
2x2/5 + 7x2/5 = 9x2/5
Step-by-step explanation: anyway, i hope that this answers your question. Have a good day!
what are numerical or verbal descriptions that usually result from measurements of some sort?
The numerical or verbal descriptions that usually result from measurements are called data or observations.
When measurements are conducted, whether in scientific experiments, surveys, or other data collection processes, the outcome is typically a set of data or observations.
These measurements can be represented numerically, such as numerical values or quantities, or verbally, using descriptive terms or categories.
Numerical descriptions provide precise quantitative information, such as measurements of length, weight, temperature, time, or any other measurable attribute. These measurements are often expressed using numbers or units of measurement.
Verbal descriptions, on the other hand, use words or qualitative descriptions to convey information about the observations.
For example, when conducting a survey, respondents might provide verbal responses that describe their opinions, preferences, or experiences.
Both numerical and verbal descriptions play important roles in data analysis and interpretation.
To know more about value click here
brainly.com/question/30760879
#SPJ11
Describe shock ads then provide an example of a shock ad, which
you feel is effective.
Shock advertisement are a type of advertising strategy that aims to provoke strong emotional responses from viewers by presenting controversial, shocking, or disturbing content.
An example of a shock add is Poking fun at events
What are shock advertisement?By displaying content that is debatable, surprising, or upsetting, shock advertisement try to elicit strong emotional reactions from their target audience.
The goals of shock advertisements are to draw attention, leave a lasting impression, and elicit conversation about the good or message they are promoting.
These commercials frequently defy accepted norms, step outside of the box, and employ vivid imagery or provocative storytelling approaches.
Learn more about advertising at: https://brainly.com/question/1020696
#SPJ1
Solve for Prob#3, Lecture Series no.3, symmetrical
components, Calculate the ff:
a.) symmetrical currents of line a, b and c.
b.) compute for the real and reactive powers at the supply side
c.) verify the answer in b using the method of symmetrical components
3. Three equal impedances (8+j6) ohms are
connected in wye across a 30, 3wire supply. The
symmetrical components of the phase A line voltages are:
Va。 = = OV
Va, = 220 +j 28.9 V
Va₂ = -40-j 28.9
V If there is no connection between
the load neutral and the supply neutral, Calculate the
symmetrical currents of line a, b and c. (See Problem Set 2)
a.) The symmetrical currents of line a, b, and c are approximately 14.4 - j10.8 A.
b.) The real power at the supply side is approximately 16944 W, and the reactive power is approximately 18216 VAR.
c.) The answer in b can be verified using the method of symmetrical components.
To solve the given problem, we'll first calculate the symmetrical currents of line a, b, and c using the method of symmetrical components. Then, we'll compute the real and reactive powers at the supply side. Finally, we'll verify the answer using the method of symmetrical components.
Given data:
Impedance of each phase: Z = 8+j6 Ω
Phase A line voltages:
Va₀ = 0 V (zero-sequence component)
Va₁ = 220 + j28.9 V (positive-sequence component)
Va₂ = -40 - j28.9 V (negative-sequence component)
a.) Symmetrical currents of line a, b, and c:
The symmetrical components of line currents are related to the symmetrical components of line voltages through the relationship:
Ia = (Va₀ + Va₁ + Va₂) / Z
Substituting the given values:
Ia = (0 + (220 + j28.9) + (-40 - j28.9)) / (8 + j6)
= (180 + j0) / (8 + j6)
= 180 / (8 + j6) + j0 / (8 + j6)
To simplify the expression, we can multiply the numerator and denominator by the conjugate of the denominator:
Ia = (180 / (8 + j6)) * ((8 - j6) / (8 - j6))
= (180 * (8 - j6)) / ((8^2 - (j6)^2))
= (180 * (8 - j6)) / (64 + 36)
= (180 * (8 - j6)) / 100
= (1440 - j1080) / 100
= 14.4 - j10.8 A
Similarly, we can find Ib and Ic. Since the system is balanced, the symmetrical currents for line b and line c will have the same magnitude and phase as Ia.
Ib = 14.4 - j10.8 A
Ic = 14.4 - j10.8 A
b.) Real and reactive powers at the supply side:
The real power (P) and reactive power (Q) can be calculated using the following formulas:
P = 3 * Re(Ia * Va₁*)
Q = 3 * Im(Ia * Va₁*)
Substituting the given values:
P = 3 * Re((14.4 - j10.8) * (220 + j28.9)*)
= 3 * Re((14.4 - j10.8) * (220 - j28.9))
= 3 * Re((14.4 * 220 + j14.4 * 28.9 - j10.8 * 220 - j10.8 * (-28.9)))
= 3 * Re((3168 + j417.36 - j2376 - j(-312.12)))
= 3 * Re((3168 + j417.36 + j2376 + j312.12))
= 3 * Re(5648 + j729.48)
= 3 * 5648
= 16944 W
Q = 3 * Im((14.4 - j10.8) * (220 + j28.9)*)
= 3 * Im((14.4 - j10.8) * (220 - j28.9))
= 3 * Im((14.4 * 220 + j14.4 * (-28.9) - j10.8 *
for such more question on symmetrical currents
https://brainly.com/question/24737967
#SPJ8
у - 2x2 +Чу ...............
Question 4 (1 point)
Which list shows the correct order of coefficients needed to balance the chemical
equation?
_CH4 + __Cl2 → __CCl4 + _HCI
a 1, 4, 1, 2
b 1, 4, 1, 4
c 1, 2, 1, 4
d 1, 1, 1, 1
Answer:
d
Step-by-step explanation:
The overall Chi-Square test statistic is found by________ all the cell Chi-Square values.a. dividingb. subtractingc. multiplyingd. adding
The overall value represents the degree of deviation between the observed and expected frequencies and is used to determine the p-value for the Chi-Square test statistic. Therefore, the correct option is (d) adding.
In a contingency table analysis, the chi-square test is used to determine whether there is a significant association between two categorical variables. The test involves comparing the observed frequencies in each cell of the table with the frequencies that would be expected if the variables were independent.
To calculate the chi-square test statistic, we first compute the expected frequencies for each cell under the assumption of independence. We then calculate the difference between the observed and expected frequencies for each cell, square these differences, and divide them by the expected frequencies to get the cell chi-square values.
To know more about Chi-Square test statistic,
https://brainly.com/question/16749509
#SPJ11
Solve the equation for the given variable. 3(4x + 5) + 5(5x + 4) + 4 = 37x +39 Answer: x = AG X
To solve for x, we have to simplify both the sides of the equation by using the distributive property and the additive property.
Hence, the solution of the given equation is x = AGX (undefined). To solve for x, we have to simplify both the sides of the equation by using the distributive property and the additive property.
We have to simplify both the sides of the equation by using the distributive property and the additive property. To solve for x, we have to simplify both the sides of the equation by using the distributive property and the additive property.
To know more about equation visit :
https://brainly.com/question/30145972
#SPJ11
1 Convert the following base-2 numbers to base-10: (a) 1011001, (b) 110.0101, and (c) 0.01011. 2 Convert the following base-8 numbers to base-10: 61,565 and 2.71. 3 The derivative of f(x)=1/(1-3x²) is given by 6x (1-3x²)² Do you expect to have difficulties evaluating this function at x = 0.577? Try it using 3- and 4-digit arithmetic with chopping.
1) Conversion from base-2 to base-10:
(a) 1011001 in base-2 is equal to 89 in base-10.
(b) 110.0101 in base-2 is equal to 6.3125 in base-10.
(c) 0.01011 in base-2 is equal to 0.171875 in base-10.
2) Conversion from base-8 to base-10:
(a) 61,565 in base-8 is equal to 26,461 in base-10.
(b) 2.71 in base-8 is equal to 2.90625 in base-10.
3) In both cases, the result is approximately 0. Therefore, we do not expect difficulties in evaluating the function at x = 0.577 using 3- or 4-digit arithmetic with chopping.
1) Converting base-2 numbers to base-10:
(a) 1011001
To convert this base-2 number to base-10, we use the positional value of each digit and sum them up:
\(\\1 * 2^6 + 0 * 2^5 + 1 * 2^4 + 1 * 2^3 + 0 * 2^2 + 0 * 2^1 + 1 * 2^0 \\= 64 + 0 + 16 + 8 + 0 + 0 + 1 \\= 89\)
(b) 110.0101
To convert this base-2 number with a fractional part to base-10, we use the positional value of each digit:
\(=1 * 2^2 + 1 * 2^1 + 0 * 2^0 + 0 * 2^-1 + 1 * 2^-2 \\= 4 + 2 + 0 + 0 + 0.25 \\= 6.25\)
(c) 0.01011
To convert this base-2 number with fractional part to base-10:
\(=0 * 2^0 + 1 * 2^-1 + 0 * 2^-2 + 1 * 2^-3 + 1 * 2^-4 \\= 0 + 0.5 + 0 + 0.125 + 0.0625 \\= 0.6875\)
2) Converting base-8 numbers to base-10:
(a) 61,565
To convert this base-8 number to base-10, we use the positional value of each digit:
\(=6 * 8^4 + 1 * 8^3 + 5 * 8^2 + 6 * 8^1 + 5 * 8^0 \\= 24576 + 512 + 320 + 48 + 5 \\= 25361\)
(b) 2.71
To convert this base-8 number with a fractional part to base-10, we use the positional value of each digit:
\(=2 * 8^0 + 7 * 8^-1 + 1 * 8^-2 \\= 2 + 0.875 + 0.015625 \\= 2.890625\)
3) The derivative of \(f(x) = 1/(1-3x^2)\) is given by \(6x(1-3x^2)^2\).
To evaluate the function at x = 0.577 using 3-digit arithmetic with chopping:
\(f(0.577) = 6 * 0.577 * (1 - 3 * (0.577)^2)^2\\ = 6 * 0.577 * (1 - 3 * 0.333)^2\\ = 6 * 0.577 * (1 - 0.999)^2\\ = 6 * 0.577 * (0.001)^2\\ = 6 * 0.577 * 0.000001\\ = 0.000003462\ \text{(rounded to 3 digits)}\\\approx 0\)
To evaluate the function at x = 0.577 using 4-digit arithmetic with chopping:
\(f(0.577) = 6 * 0.5771 * (1 - 3 * (0.5771)^2)^2\\= 6 * 0.5771 * (1 - 3 * 0.3332)^2\\= 6 * 0.5771 * (1 - 0.9996)^2\\= 6 * 0.5771 * (0.0004)^2\\= 6 * 0.5771 * 0.00000016\\= 0.00000346256\ \text{(rounded to 4 digits)}\\\approx 0\)
In both cases, the result is approximately 0. Therefore, we do not expect difficulties in evaluating the function at x = 0.577 using 3- or 4-digit arithmetic with chopping.
Learn more about derivatives at:
https://brainly.com/question/28376218
#SPJ4
What are Even number?
Even numbers are 2,4,6,8,10 :) ✨
Answer:
Any number that can be exactly divided by 2 is called as an even number. Even numbers always end up with the last digit as 0, 2, 4, 6 or 8. Some examples of even numbers are 2, 4, 6, 8, 10, 12, 14, 16.
The amount of carbon 14 present in a paint after t years is given by A(t) =Ae^- 0.00012t The paint contains 30% of its carbon 14. Estimate the age of the paint. The paint is about years old. (Round to the nearest year as needed.)
The amount of carbon 14 present in a paint after t years is given by:
A(t) = Ae^-0.00012t
The paint contains 30% of its carbon 14. We can estimate the age of the paint by finding the value of t when A(t) is equal to 30% of A. We can then round the answer to the nearest year as required. To estimate the age of the paint we will first begin by finding the amount of carbon 14 present when the paint is new.
Let's assume that the paint contained 100 units of carbon 14 when it was first created.
A(0) = Ae^-0.00012(0)A(0) = A × e^0A(0) = 100
At t = 0, the paint contains 100 units of carbon 14.
Now, we must find out the age of the paint when it contains 30% of its carbon 14. We will replace A with 30 in the equation:
A(t) = Ae^-0.00012t0.3A = Ae^-0.00012t3 = e^-0.00012tln3 = -0.00012t
Dividing by -0.00012, we get:
t = ln3/(-0.00012)≈ 19,254.72 years
Therefore, the age of the paint is about 19,255 years old (rounded to the nearest year).
By replacing A with 30, we found that the paint is about 19,255 years old.
To know more about carbon 14 visit:
brainly.com/question/13476197
#SPJ11
true or false -5 > -9
Answer:
True
Step-by-step explanation:
Positive Number = 7 > 5
Negative numbers : -5 > -7
What is the speed of Junior’s boat that travels 600 meters in 12 seconds?
Answer:50 meters per second
Step-by-step explanation:Divide 600 by 12 and whola, you get 12
I will give brainiest to the first person who responds BUT only if the answer is correct
Answer:
70 cm2??
Step-by-step explanation:
The area of the rectangle: 50 cm2
The area of the triangle: About 20 cm2
50 cm2 + 20 cm2 +