Answers
Answer/Step-by-step explanation:
Problem 1:
E is the centroid of the triangle.
Centroid theorem states that the centroid is ⅔ of the distance of each vertex to the midpoint of the side opposite each vertex.
This implies that:
AE = ⅔(AD)
AE = 21
Therefore:
21 = ⅔(AD)
3*21 = 2(AD)
(3*21)/2 = AD
31.5 = AD
AD = 31.5
Problem 2: Apply the centroid theorem. Thus:
DE = ⅓(AD)
DE = 12
Therefore,
12 = ⅓(AD)
12*3 = AD
36 = AD
AD = 36
Related Questions
On a certain hot summer's day, 344 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $537.00. How many children and how many adults swam at the public pool that day?
Answers
Answer: 302 children and 42 adults
Step-by-step explanation:
x= Children y= Adults
x+ y = 344
1.50x + 2y= 537
Then I would use elimination and multiply the first equation by -2.
-2x-2y= -688
+1.5x+2y= 537
Add the equations and get
-0.5x= -151
Divide by -0.5
x= 302
Then plug x back into the equation.
302+y=344
Subtract 302 from both sides.
y=42
The money spent on gym classes is proportional to the number of gym classes taken. Max spent $45.90 to take 6 gym classes.
What is the amount of money, in dollars, spent per gym class?
Answers
Answer:
$7.65
Step-by-step explanation:
its the right answer, TRUST ME!!!!
1 ton is equal to 2000 pounds.how many pounds are in 4 tons, 568 pounds?
Answers
Answer:
Hello There!!
Step-by-step explanation:
If 1 ton=2000 (1 ton to 4 is times by 4 so 2000
4 tons=8000 is times by 4)
hope this helps, have a great day!!
~Pinky~
Translate into an equation: Twenty-six more than the product of a number and
17 is -42.
Answers
“the product of a number and 17” = 17n
“twenty six more than” = + 26
And if the next question has you solve it:
17n + 26 = -42
Subtract 26 from both sides
17n = -68
Divide both sides by 17
n = -4
1. GASOLINE The table gives the cost of a gallon of gasoline at two stations. How much more does gasoline cost at Gas For Less than at Cut-Rate? Cut-Rate 2.x + 3.5 Gas for less V12
Answers
Answer:
GASOLINE The table gives the cost of a
gallon of gasoline at two stations.
How much more does gasoline cost at
Gas For Less than at Cut-Rate?
Step-by-step explanation:
There are about 23 Hershey kisses in an 11-ounce bag of candy. Write and solve a proportion
that you can use to find the number of Hershey kisses in a 5-ounce bag.
Answers
Answer:
about 10 hershy kisses
Step-by-step explanation:
Sorry If wrong :(
1. A package of sticky notes is in the shape of
a parallelogram. The dimensions of one
sticky note are shown. What is the area of
one sticky note?
A. 248.4 cm?
B. 124.2 cm2
C. 62.1 cm2
D. 22.7 cm2
Answers
Answer:
B. 124.2
Step-by-step explanation:
Area= b*h
Area= 13.5*9.2
Area = 124.2
Please Note* = Multiply
can someone pls simplify this
[tex] \frac{105}{12} [/tex]
Answers
Erika pours 6 cups of milk into 8 glasses. Each glass has the same amount of milk. How many cups of milk are in each glass?
Answers
Answer:
each glass will have 0.75 of a cup or 3/4 of a cup * 0.75 and 3/4 is the same*
A cube has a surface area of 6. What's the volume?
Answers
Answer:
18 Superfícies
Step-by-step explanation:
How can this expression be written another way?
32k + 24
Factor using the distributive property and the greatest common factor to write an equivalent expression
Enter your answer by filling in the boxes
32k + 24 = __ (__)
Answers
Hope this helps
Hiroto reduces a rectangular photograph by 0.5 by scanning it onto his computer. The image on the screen measures 3 inches by 5 inches. Which rectangle represents the original photograph? Rectangle A B C D Width 1.5 3.5 6 15 Length 2.5 5.5 10 25 A B C D
Answers
Answer:
C i think
Step-by-step explanation:
Alicia would like to know if there is a difference in the average price between two brands of shoes. She selected and analyzed a random sample of 40 different types of Brand A shoes and 33 different types of Brand B shoes. Alicia observes that the boxplot of the sample of Brand A shoe prices shows two outliers. Alicia wants to construct a confidence interval to estimate the difference in population means.
Answers
This question is incomplete, the complete question is;
Alicia would like to know if there is a difference in the average price between two brands of shoes. She selected and analyzed a random sample of 40 different types of Brand A shoes and 33 different types of Brand B shoes. Alicia observes that the boxplot of the sample of Brand A shoe prices shows two outliers. Alicia wants to construct a confidence interval to estimate the difference in population means.
Is the sampling distribution of the difference in sample means approximately normal?
a) Yes, because Alicia selected a random sample
b) Yes, because for each brand it is reasonable to assume that the population size is greater than ten times its sample size.
c) Yes, because the size of each sample is at least 30
d) No, because the distribution of Brand A shoes has outliers
e) No, because the shape of the population distribution is unknown.
Answer:
the sampling distribution of the difference in sample means is approximately normal because the size of each sample is al least 30
Option (c) Yes, because the size of each sample is at least 30 ) is the correct answer.
Step-by-step explanation:
Given the data in the question;
sample size of brand A shoes [tex]n_A[/tex] = 40
sample size of brand B shoes [tex]n_B[/tex] = 33
As we can notice,
[tex]n_A[/tex] = 40 > 30
[tex]n_B[/tex] = 33 > 30
Hence, we consider both samples to be large.
Therefore, the sampling distribution of the difference in sample means is approximately normal because the size of each sample is al least 30.
Option (c) Yes, because the size of each sample is at least 30 ) is the correct answer.
what is the volume of the following prisim? i will be so grateful
Answers
Answer:
i dont know this is to hard
Step-by-step explanation:
pay back for saying that on my question
Which sentence is TRUE ??
Answers
Answer:
the bottom choice
This equation shows how the amount of time that a receptionist named Terrence spends on the phone is related to the number of phone calls he routes to employees.
t = p + 17
The variable p represents the number phone calls he routes, and the variable t represents the number of minutes he is on the phone. In all, how many phone calls does Terrence have to route to spend a total of 20 minutes on the phone?
phone calls
Answers
hmmm I dunno sorry ......
Vertex:
Vertex form:
Answers
Answer:
y = (x + 1) - 4
Step-by-step explanation:
Vertex Form: y = a(x-h)^2 + k
First, we need to find the parent function. The parent function is (0,0)
Then we need to find where the parabola moved. WE don't need to look at the curved line, we just need to focus on the vertex. We see that the vertex is (-1,-4) Which means the vertex moved one unit towards the left and went down 4 units.
Now it is time to make the actual equation. First, we start with y=
y =
Now we need to put in the (x - h)^2. We see that the graph moved one unit towards the left, so we plug it in with h. Also, keep in mind, the graph isn't being stretched vertically, so the term is 1.
y = 1(x -- 1)^2 = 1(x + 1)^2
Now we need to find the k. The k term is how the graph changed by the y axis. Since it moved down 4 units. We can plug in -4.
y = 1(x + 1) + (-4) = 1(x + 1)^2 - 4
Our final answer is:
y = 1(x + 1) - 4
Find the value of the variables in the simplest form
Answers
Answer:
x = 3
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° = [tex]\sqrt{3}[/tex]
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{\sqrt{3} }[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by [tex]\sqrt{3}[/tex] )
x = 3
Is the equation cosine theta - sine theta =1 an identity? Explain
Answers
Hope this helped! :)
Two thirds of the money in my pocket is 50 cents. a, what is one third of the money in my pocket
Answers
Answer:
25 cents
Step-by-step explanation:
1.) Set up an equation you can solve from the wording of the question:
(2/3)*m = 50, where "m" represents the money in your pocket.
2.) Solve for that equation:
m = 50*(3/2) = 150/2 = 75, so now you know the money you have in your pocket is 75 cents
3.) Multiply the money you have in your pocket by 1/3 to find 1/3 of the money you have in your pocket:
75*(1/3) = 25
anybody can help me with this
Answers
Answer:
the answer is a/ 21 kilometers
Solve the following quadratic equation for all values of xx in simplest form. 3(x+1)²-15=-12
Answers
Answer:
x = 0, -2
Step-by-step explanation:
Jayden is trying to pick out an outfit for the first day of school. He can choose from 2
pairs of pants, 3 t-shirts, and 6 pairs of shoes. How many different outfits does
Jayden have to choose from?
Answers
Answer:
36
Step-by-step explanation:
Use the counting principle.
2 * 3 * 6 = 36
Answer: 36
Answer: 30 outfits
Step-by-step explanation:
2 x 5 x 3 =30
Carly loves to run while Riley prefers walking. Carly can run 3 miles per hour faster
than her sister Riley can walk the same distance. If Carly ran 15 miles in the same time
it took Riley to walk 9 miles, which equation can be used to find the speed of each
sister?
Answers
Answer:
Step-by-step explanation:
A tangent-tangent angle intercepts two arcs that measure 124 degrees and 236 degrees what is the measure of the tangent-tangent angle
Answers
Answer:
It can be calculated by finding the difference between the two angles. Half of this difference will be the angle that is required.
Therefore
236 - 124 = 112
Tanget-tanget angle = 112 / 2 = 56 degrees
Evaluate the expression 6 + 5 × 32 - 8.
43
11
6
91
Answers
Answer:
158
Step-by-step explanation:
All i know is that these answer choices cannot be found in the calculator
Answer:
158.....
PEMDAS
you multiply first 6+160-8
then you add or subtract
158
Please help. No files allowed or you will be reported
Answers
Jonah has two small bags of assorted doughnuts. Each bag contains exactly 8 powdered doughnuts.
Bag 1 contains 20 total doughnuts.
Bag 2 contains 24 total doughnuts.
What is the probability of Jonah grabbing
a powdered doughnut from
Bag 1?
Answers
Answer:
There is a 40% probability of Jonah grabbing a powdered doughnut from Bag 1.
Step-by-step explanation:
Total number of doughnuts in the bag 1 =20
Total powdered doughnuts in each bag = 8
Probability of selecting powdered doughnut from Bag 1 by Jonah =
[tex]\frac{8}{20} * 100\\40[/tex]%
15 POINTS PLSS HELP THIS IS MY 3RD TIME POSTING THIS BC NO ONE WILL HELP ME PLSSS AND NO WRONG ANSWERS PLS I REALLY NEED HELPP
Answers
Answer:
to find the equation of the line you use y=mx+b
Step-by-step explanation:
m means the slope and the b is the y intercept of the line. so in this case the b is 5. the m is 6 so the answer is y=6x+5
Which is NOT true?
A 9 + 4 = 17 - 4
B 8 + 7 = 14 + 3
C 11 = 19 - 8
D 5 + 8 = 20 - 7
Answers
Answer:
B is not true
Step-by-step explanation:
8+7= 15 and 14+3= 17
15 is not equal to 17
Answer:
B is the one equation that is NOT true.
Step-by-step explanation:
A: 9+4 is 13, and 17-4 is 13 as well. This equation is true, 13=13.
B: 8+7 is 15, and 14+3 is 17. This equation is false, because 15 is not equal to 17. Although we have our answer, we need to still check the other equations.
C: 11 is, well, 11, because nothing changed on that side of the equation. 19-8 is 11, so this is true because 11=11.
D: 5+8 is 13, and 20-7 is 13. This equation is also true, because 13=13.
The only equation that is not true, is B. (8+7 = 14+3)
