Answers
The centroid of a triangle divides the median of the triangle into 1 : 2
The measure of FQ is 18, while the measure of TQ is 6
Because point T is the centroid, then we have the following ratio
[tex]\mathbf{TQ : FT =1 : 2}[/tex]
Where FT = 12.
Substitute 12 for FT in the above ratio
[tex]\mathbf{TQ : 12 =1 : 2}[/tex]
Express as fraction
[tex]\mathbf{\frac{TQ }{ 12} =\frac{1 }{ 2}}[/tex]
Multiply both sides by 12
[tex]\mathbf{TQ =\frac{1 }{ 2} \times 12}[/tex]
This gives
[tex]\mathbf{TQ =\frac{1 2}{ 2}}[/tex]
Divide 12 by 2
[tex]\mathbf{TQ =6}[/tex]
The measure of FQ is calculated using:
[tex]\mathbf{FQ = FT + TQ}[/tex]
Substitute 12 for FT, and 6 for TQ
[tex]\mathbf{FQ = 12 + 6}[/tex]
Add 12 and 6
[tex]\mathbf{FQ = 18}[/tex]
Hence, the measure of FQ is 18, while the measure of TQ is 6
Read more about centroids at:
https://brainly.com/question/11891965
Related Questions
The perimeter of a rectangle is 18 inch. The length is three inches more than width. What is length?
Answers
Answer:
6 inches.
Step-by-step explanation:
If the width is x inches then the length is x + 3.
S0
Perimeter = 2x + 2(x +3)
18 = 2x + 2x + 6
4x = 18 - 6 = 12
x = 3.
So the length = 6 inches.
Perimetre = 18 inch
Let the width be x
length = x+3
Perimetre of rectangle = 2(length+width)
18 = 2[(x+3)+x]
18 = 2(2x+3)
18 = 4x+6
4x = 18 - 6
4x = 12
•°• x = 12/4 = 3
Length = x+3 = 3+3 = 6
•°• The length of rectangle is 6 inch.
You want to make sugar cookies and chocolate chip cookies. You have only one dozen eggs and 20 cups of flour. For each batch of sugar cookies you need 1 egg and 2 cups of flour, for chocolate chip cookies you need 2 eggs and 2 cups of flour per batch. You know you need to make at least 3 batches of sugar cookies. How many of each type should they make to get the best profit?
Answers
Answer:
check online for more information
A pet store sold 36 Siamese cats. If the ratio of Siamese cats to house cats sold was 4:9, what is the combined amount of cats sold
Answers
The combined amount of cats sold is 117.
Ratio expresses the relationship between two variables. It shows the frequency of which that one value is contained within another variable.
The ratio of Siamese cats to house cats = 4 : 9
Number of Siamese cats = 36
Number of combined cats = c
This equation can be formed using the above information:
4/13 x c = 36
4c = 468
c = 468 / 4
c = 117
A similar question was answered here: https://brainly.com/question/411732
How do I find domain and range.
Answers
Answer:
The domain is all the x values and the range is all the y values.
Since there are 6 points on the figure, just find the coordinates (x, y) for all the points. Then get all the x and y values separated in a table.
I'm just going to assume this is scaled by 1 unit per square
Here are all the points on the graph:
(-6, -1)
(-4, 3)
(-4, -6)
(0, 2)
(2, -2)
(5, 7)
Now just split them into their x and y values
The Domain: -6, -4, 0, 1, 5
The Range: -1, 3, -6, 2, -2, 7
Answer:
Interval notation
Domain: [-6, 5]Range: [-1, 7]Step-by-step explanation:
The domain is the x-value on the x-axis. The range is the y-value on the y-axis.
Find the two highest points on opposite sides in the graph.
find the x-values (refer to the image below)find the y-values (refer to the image below)After this step has been completed, you can write it in different forms, for example in interval notation:
The domain would be [-6, 5]
The range would be [-1, 7]
Note - for interval notation, when the point is a closed circle, the ending parenthesis would be "[ "or "]". However, when it is an open circle, the parenthesis would be "( "or ")".
Simplify and leave your answer in index form
Answers
Answer:8a^7
Step-by-step explanation:
Answer:
8a⁷ is the simplified form of 4a² x 2a⁵.Step-by-step explanation:
4a² x 2a⁵=> 4 x a² x 2 x a⁵=> 8 x a²⁺⁵=> 8 x a⁷=> 8a⁷Conclusion:
Therefore, 8a⁷ is the simplified form of 4a² x 2a⁵.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
PLEASE HELP!! I need someone who know probability and statistics please.
A store manager claims that 60% of shoppers who enter her store make a purchase. To investigate this claim, she selects a random sample of 40 customers and finds that 40% of them make a purchase. She wants to know if the data provide convincing evidence that the true proportion of all customers who enter her store that will make a purchase differs from 60%. The P-value of this test is 0.0098. Interpret the P-value.
A. Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.
B. Assuming the true population proportion of shoppers who will make a purchase differs from 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.
C. Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.
D. Assuming the true population proportion of shoppers who will make a purchase is different from 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.
Answers
6. Kiara's father is paying for a $40 meal. He has a 20%-off coupon for the meal. After the discount, a 6% sales tax is applied. What does Kiara's father pay for the meal? Explain or show your reasoning.
Answers
Answer:
33.92
Step-by-step explanation:
40 x .2= 8
40-8= 32
32x.06=1.92
32+1.92= 33.92
Erick paid a $75 registration fee to join the gym. He pays $15 each month.
How much will Erick pay to use the gym for 5 months?
Answers
Answer:
$150
Step-by-step explanation:
Erick has to pay $15 per month so for 5 months he will have to pay $75 because 15 times 5 is 75. So $75 for registration fee + $75 for 5 months to use the gym give us $150
The sum of a number and negative three, multiplied by the number?
Answers
Answer:
x² - 3
This expression is not linear
Step-by-step explanation:
Let x = unknown number
The sum of a number and negative 3
Sum = addition
We are adding the unknown number "x" and -3
So we have x + (-3) or just x - 3
The sum of that is multiplied by the unknown number
So we get ( x - 3 ) x
We can then simplify this expression to get x² - 3x
Any expression with an exponent is not linear. Refer to the attached image for more validation. A linear expression would create a straight line. The expression x² - 3x creates a curved line
A small town has two local high schools. High School A currently has 800 students and is projected to grow by 55 students each year. High School B currently has 950 students and is projected to grow by 25 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine the interval of years, t,t, for which High School A will have more students than High School B.
Answers
Answer:
40
Step-by-step explanation:
Let w = 4. Enter >, <, or = to compare the expressions. 3w² + 1 10w + 8
Answers
Answer: ≥ without the line on the bottom.
Step-by-step explanation:
I am assuming the expression you are talking about are
[tex]3w^{2} +1[/tex] and [tex]10w+8[/tex].
If we were to replace w with 4 and calculate, we will find the answer:
[tex]3*4^{2} +1=3*16+1=48+1=49[/tex]
[tex]10*4+8=40+8=48[/tex]
Since the first expression, [tex]3w^{2} +1[/tex], is bigger than the second expression, the correct symbol to use is ≥ without the line on the bottom.
Please help trigonometry
Answers
Answer:
= 59.36
Step-by-step explanation:
S = 207
so, tan(16) = H/S
tan(16°) = 0.28674539
so H = tan(16) * S = 0.28674539 * 207 = 59.35629573
so the tree high = 59.36 foot
The cafe sells Beetle Juice and Potion Punch. A cup of Beetle Juice costs $2.50 and a cup of Potion Punch costs $3. Owen ordered 5 drinks for his group and spent $14. Write a system of equations to find the number of cups of beetle juice, j, and potion punch, p, that Owen purchased.
Answers
Answer:
2 Beetle juices and 3 Potion Punch
Step-by-step explanation:
j = Beetle Juice cost $2.50
p = Potion Punch Cost $3
j + p = 5 Multiply by -3 -3j - 3p = -15
$2.50j + $3p = $14 Do not change + 2.50j -3p = 14
- .50j = -1
j = 2 Beetle Juice
Substitute into the fist equation and solve for y j + p = 5
2 + p = 5
p = 3 Potion Punch
i need help asap)))))))))))))))))))))
Answers
Answer: a
Step-by-step explanation:
u do 1+1
The time it takes to distribute pamphlets varies inversely with the number of people distributing them. If it takes 40 min for 3 people to distribute the pamphlets, how long would it take if there were 5 people distributing the pamphlets?
Answers
Using proportions, it is found that it would take 24 minutes if there were 5 people distributing the pamphlets.
This question is solved by proportions, using a rule of three.The more people that are there distributing the pamphlets, the less time it takes, hence the measures are inverse proportional, which means that line multiplication is applied instead of cross multiplication.3 people take 40 minutes. How many minutes 5 people take?The rule of three is:
3 people - 40 minutes
5 people - x minutes
Applying line multiplication:
[tex]5x = 120[/tex]
[tex]x = \frac{120}{5}[/tex]
[tex]x = 24[/tex]
It would take 24 minutes if there were 5 people distributing the pamphlets.
You can learn more about proportions at https://brainly.com/question/24372153
please help brainliest if correct and best explanation
Answers
Answer: 120
Step-by-step explanation:
first you distribute 5 to 11 and -17 to get (55 - 85) then you distribute 6 to 14 and -7 to now get (55-85) + (84-42) then you distribute -12 to 2 and 7 to now have (55-85) + (84-42) - ( -24 + -84) to get 120 you multiple when you distruibute for these cause its outside the parenthesis so you multiply the number by everything in the parenthesis
On Thursday, a local hamburger shop sold a combined total of 444 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Thursday?
Answers
Answer:
They sold 111 Hamburgers
Step-by-step explanation:
Turn this into an equation: first, take the amount of hamburgers and call it 3x due to it being 3 times more than the amount of cheeseburgers, which we will can call x.
So, X+3X=444 is what you need to solve this. This is the same as 4x=444
So, x=111
Now, Input 111 for the final answer; 333 cheeseburgers and 111 hamburgers
Help for brainliest plz
Answers
Answer:
oh uhm that is 3,4 <3
Step-by-step explanation:
raplhy jogs at a rate of 4/2 miles in 2/5 of an hour. What is his speed in miles
Answers
Answer:
Ralph's speed is 2 miles in 24 minutes.
(Unit rate, Ralph runs 1 mile in 12 minutes)
Step-by-step explanation:
4 divided by 2 is 2 (miles)
2/5 of an hour is 24 minutes (60/5=12+12=24)
Darren got 42 out of 56 correct on a test. What percent of the questions did he get correct?
Answers
Answer: Darren got 75% of the questions correct.
Step-by-step explanation:
To find the percentage of questions Darren got correct, we can divide the questions he got correct by the total number of questions.
42 ÷ 56 = 0.75
0.75 X 100 = 75
So, Darren got 75% of the questions correct.
Y'all... Please help I need help with freaking math...
Answers
15% of 850 is 127.5 and therefore the laptop would be reduced by 127.50
The sale price of the laptop is 722.50
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Answers
Scale down 1/2 and a 180 degree flip
5/6 divided by 3/4 in simplest form
Answers
Answer: The answer is 1 1/9.
Explanation: Multiply the numerator by the reciprocal of the denominator(5/6 x 4/3). Cancel the common factor of 2, then multiply 5/3 x 2/3. The result is 10/9, which is an improper fraction which should be converted to the mixed fraction 1 1/9.
What is the circumference of a circle with a diameter of 14 feet?
A. 14 pi feet
B. 96pi feet
C 196pi feet
D. 7 pi feet
Answers
Circumference of circle: 14 pi feet or 43.98.
But here answer is option A.
Answer:A
2x+y=−1.5
y=3.5x+15.
Answers
Answer:
x=-3, y=4.5
Step-by-step explanation:
Compare 37,007 and 30,707. Which
is greater?
Answers
Answer: 37,007 is greater
Step-by-step explanation:
Can i get a brainliest
Answer:
37,007 is greater than 30,707
Step-by-step explanation:
Thats because as you can see reading the numbers left to right, the first ones on the far left are both 3s. so so far they're the same. then go to the second number, making sure you're moving left to right. 7 is more than 0 therefor 37,007 is greater than 30,707
-3/10 + 4/15
Solve the above problem
Answers
Answer:
-1/30
Step-by-step explanation:
find the lcm of 10 and 15
then solve it
What is the slope of (-3, -2) and (-1, -5) ??
Answers
Answer:
-3/2 or -1 1/2
Step-by-step explanation:
The slope, plugging into the equation (y_2-y_1)/(x_2-x_1) would be -5 + 2 / -1 + 3, or -3/2, which can also be - 1 1/2
Answer:
-3/2
Step-by-step explanation:
slope ('m') formula: (difference of the y-values) ÷ (difference of the x-values)
m = -2-(-5) ÷ -3-(-1)
m = 3 ÷ -2
slope = -3/2
What is the exact value of tan(−π4)?
Enter your answer in the box.
Answers
Answer:
What is the exact value of tan(−π4)? is 20
IF YOUR QUESTION IS...
What is the exact value of tan(-pi/4)?
Answer: -1
Please help me.........
Answers
Answer:
8/15
Step-by-step explanation:
hope this helps!!! :D
Answer: 8/15
Step-by-step explanation: Tangent is opposite/adjacent
The hypotenuse, the longest side of a triangle which is 17. The adjacent side is the second longest which is 15. And the opposite is the shortest or the base of a triangle which is 8.
For the future, remember these:
Sin = opposite/hypotenuse
Cos = adjacent/hypotenuse
Tan = opposite/adjacent
Therefore, tan is 8/15.
Hope this helps.