In the figure below, ⎯⎯⎯⎯⎯⎯⎯⎯,⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯,
B
L
¯
,
A
M
¯
,
and ⎯⎯⎯⎯⎯⎯⎯⎯⎯
C
K
¯
are medians of △
△
A
B
C
. If AM = 21 and LO = 4, then AO =
Answers
Answer:
AO = 14
Step-by-step explanation:
The figure we are given shows the intersection of the medians of this triangle. In fact, the point of intersection of the medians is called the centroid. In this problem, O is the centroid.
The intersection of the medians of a triangle has some properties:
(1) The distance from a vertex of the triangle to the centroid is 2/3 of the distance from said vertex to the opposite side of the vertex
(2) The distance from the centroid to a side opposite of a vertex is 1/3 of the distance from said vertex to the opposite side of said vertex
(3) The longer part of the median partitioned by the centroid is twice the distance of the shorter part of said median partitioned by the centroid
We can use the first property stated to find the distance of AO.
[tex]AO = \frac{2}{3} AM[/tex]
We are given that AM = 21
[tex]AO = \frac{2}{3}(21)[/tex]
[tex]AO = \frac{42}{3}[/tex]
[tex]AO = 14[/tex]
Related Questions
A student stated that x = - 5 and
x= -2 are the solutions to the quadratic
equation x2 – 7x + 10 = 0 because the
equation factors to (x - 5)(x - 2) = 0.
Is the student correct or incorrect?
Explain
Answers
Answer:
Student is incorrect
Step-by-step explanation:
x^2-7x+10=0
x^2+2x-5x+10=0
x(x-2)-5(x-2)=0
(x-5)(x-2)=0
x-5=0 , x-2=0
x=5 , x=2
So the correct solutions of given equation is 2 and 5
The factors of the equation [tex]x^2- 7x + 10 = 0[/tex] is [tex]x=2,5[/tex] so the students are incorrect.
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given equation is:-
[tex]x^2-7x+10=0\\\\x^2-2x-5x+10=0\\\\x(x-2)-5(x-2)=0\\\\(x-5)(x-2)=0\\\\x-5=0\\\\x=5\\\\x-2=0\\\\x=2[/tex]
Hence, the factors of the equation [tex]x^2- 7x + 10 = 0[/tex] is [tex]x=2,5[/tex] so the students are incorrect.
To know more about the equation
https://brainly.com/question/12788590
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All of these have to be estimated using the chart shown^
1- 11% of 507
2-26% of 91
3-34% of 91
4-48% of 124
5-20% of 66
6- 47% of 80
7-48% of 202
8-74% of 39
9-30% of 118
10-20% of 42
11-arnold ate breakfast at a restaurant. The total cost of his food, juice, and coffee was $6.45. If the sales tax rate is 8% and Arnold wants to leave a 20% tip. how much should he pay
12- rodneys weekly gross pay is $91. He must pay 32% of taxes and deductions. estimate rodneys weekly take home after deductions.
Answers
The Scale on a map shows that 1 inch represents 18 miles. The distance on the map between Olivia's town and her grandmother's town is 4-5 inches.
Answers
Answer:
(20 miles/inch) * (3.5 inches) = 70 miles
Step-by-step explanation:
Answer:
72-90 mile
OlivOliviOlivia‘s grandmother Town is 72 to 90 miles away
Find the surface area of the composite figure.
Answers
Answer The answer is c.
Step-by-step explanation:
cause i said it was
What is the following product
Answers
Answer:
the answer is 7x^2-12x square root of 14 +72 (option 2)
Step-by-step explanation:
if today is Wednesday what day of the week will it be after 39 days?
Answers
Answer:
Monday, may 31, 2021
Step-by-step explanation:
:)))
4х² – 2(x² — 3х+2)
combine like terms to write a polynomial in standard form.
Answers
Step-by-step explanation:
[tex]4 {x}^{2} - 2( {x}^{2} - 3x + 2) \\ = 4 {x}^{2} - 2 {x}^{2} + 6x - 4 \\ = 2 {x}^{2} + 6x - 4 = \\ {x}^{2} + 3x - 2[/tex]
can someone help me with this... also can you do this on paper...
Answers
here you go hope this helps!
heyy dude just wanted points. so yeah.
what is the slope of the line that contains the points (13,2) and (3,-2)
Answers
Answer:
⅖
Step-by-step explanation:
please like my answer and brainliest me... hshshshshs
Carrie is on Shark Tank and is offering 40% of her company for $100,000. What is the value of Carrie's company?
Answers
Answer:
I think the answer is $40,000
Step-by-step explanation:
Answer:40,000
Step-by-step explanation:
from birth to 6 months, babies gain 6 ounces every week. How many ounces does a baby gain in 11 weeks ?
Answers
Answer:
156oz
Step-by-step explanation:
Hope this help and have wonderful day!!!
In ATUV, the measure of V=90°, TU = 5.4 feet, and VT = 1.6 feet. Find the measure
of ZT to the nearest degree.
U
5.4
хо
V
1.6
Answer:
Submit Ang
Answers
Answer:73
Step-by-step explanation:
I need help proving the y-intercept is 5 but I can't figure it out and will give brainliest if you can show the steps how you got the answer!!!!!!!the coordines are (9,5)
And can you help with what I did wrong here
Answers
Can someone please help me?
Answers
Answer:
It is C i believe
Step-by-step explanation:
A ball is thrown upward from a height of 15 feet with an initial velocity of 64 feet per second. Use indefinite integrals to write the position function of the ball at time t.
Answers
Answer:
The equation of the position at time t will be:
[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+15[/tex]
Step-by-step explanation:
We can start by saying that the acceleration here is g = -9.81 m/s². The minus sign is because the gravity acceleration is a vector downward (negative value), and the ball is going upward (positive value).
And we know that acceleration can be written as a second derivative:
[tex]g=\frac{d^{2}y}{dt^{2}}=y''[/tex] (1)
Now, we can take the integral in each side:
[tex]\int gdt=\int y''dt[/tex]
[tex]\int y''dt=\int -9.81dt[/tex] (2)
Solving the integral in each side we have:
[tex]y'(t)=-9.81t+C[/tex] (3)
Where y'(t) is the velocity at t time (v = dy/dt = y' ) and c is a constant value.
Now, the initial conditions are:
initial height y(0) = 15 feet
initial velocity y'(0) = v(0) = 64 feet/s
Using this condition we can find C. Let's evaluate equation (3) at t = 0.
[tex]y'(0)=-9.81(0)+C[/tex]
[tex]C=64\: feet/s[/tex]
So we have:
[tex]y'(t)=-9.81t+64[/tex] (4)
Now, we need to take the integral of equation (4) to get the position function:
[tex]\int y'(t)dt=\int (-9.81t+64)dt[/tex]
Solving this new integral we have:
[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+D[/tex] (5)
Using the same method above, we can find D evaluating (5) at t = 0, we have:
[tex]y(0)=-\frac{1}{2}9.81(0)^{2}+64(0)+D[/tex]
[tex]D=y(0)[/tex]
[tex]D=15\: feet[/tex]
Finally, the equation of the position at time t will be:
[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+15[/tex]
I hope it helps you!
Match the statements to the correct ratios. 6 : 5 1 : 3 3 : 4 1 : 4 1 : 2 3 : 1 There are 12 boys and 8 girls in a class. If 2 more girls join the class, what is the new ratio for the number of boys to the number of girls in the class? arrowRight Joshua is 11 years old, and his dad is 33 years old. What is the ratio of Joshua's age to his dad's age? arrowRight Jemma has 24 balls. Out of the 24 balls, 12 are yellow, 4 are pink, and the rest are red. What is the ratio of the number of red balls to the number of balls that are either yellow or pink? arrowRight A box contains 84 chocolates, of which 63 are dark chocolates. The rest are milk chocolates. What is the ratio of milk chocolates to the total number of chocolates in the box? arrowRight
Answers
Answer:
Step-by-step explanation:
The one about the boys and girls are 3:1
The one about the balls no h0m0 is 1:4
The one about the chocolates is 1:3
The one about the Joshua and his dad is 3:4
If you be so kind mark me as brainliest
Answer:
A box contains 84 chocolates - 1 : 3
Jemma has 24 balls - 1 : 4
There are 12 boys - 3 : 1
Joshua is 11 years old - 3 : 4
Step-by-step explanation:
This is the correct answer for edmentum
As an estimation we are told €4 is $5. What is the conversation rate from euros to dollars? Give your answer rounded to 2 decimal places?
Answers
how do i solve for x and y?
Answers
Answer:
X= 8 and y= 138
Step-by-step explanation:
IF ANS IS CORRECT COMMENT BACK FOR EXPLANATION
DO NOT guess just answer the question correctly.
In the equation, 3x-6y=18, what is the x-intercept?
Answers
The x-intercept is (-6,0)
daily limit on the videos for free answers ....completely and utterly st up id.
Answers
Answer:
I was not aware of the "daily limit" thing for answers
Step-by-step explanation:
A farm stand sells apples pies and jars of applesauce. The table shows the number of apples needed to
make a pie and a jar of applesauce. Yesterday, the farm picked 245 Granny Smith apples and 133 Golden
Delicious apples. How many pies and jars of applesauce can the farm make if every apple is used?
Type of apple Granny Smith Golden Delicious
Needed for a pie
9
5
Needed for a jar of applesauce 4
2
The farm can make
pies and jars of applesauce.
Answers
Cone is formed from 3200 ft of gravel, if the height of the cone is 24 ft what is the radius in feet of the base of the cone
Answers
Question :
Cone is formed from 3200 ft³ of gravel, if the height of the cone is 24 ft what is the radius in feet of the base of the cone
Answer:
11.3 feet
Step-by-step explanation:
The volume of a cone = πr²h/3
We are asked to find the radius
The formula is given as:
r = √3V/πh
V = 3200 ft³
h = 24 ft
r = √3 × 2400/π × 24
r = 11.28379 ft
Approximately = 11.3 ft
The radius in feet = 11.3 ft
Which fractions have a LCD of 84? A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
Answers
Answer:
D.)
2/3 1/6 1/7
Step-by-step explanation:
Given the fractions :
A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
We need ot Obtian the set of fractions whose L. C. M of denominator multiplied by the numerator gives an of 84 for all its values.
A.)
L. C. M of 14, 42 and 6 = 42
42 * 3 = 126 ( not true)
B.)
L. C. M of 84, 16, 42 = 336
Can't be true
C.)
L. C. M of 21, 4, 3 = 84
84 * 2 = 168 (not true)
D.)
L.C.M of 3, 6, 7 = 42
Answer:
d
Step-by-step explanation:
Determine if the graph of the function opens up or down. Explain how you know
Answers
Answer:
Opens up
Step-by-step explanation:
x^2+2x-15
Standard form: ax^2+bx+c
If a<0, then the graph opens down
If a>0, then the graph opens up.
In this case: 1x^2+2x-15
a=1
Since 1>0 then the graph opens up.
Can you please help me I am in a rush
Answers
Help me please thank you
Answers
Answer:
h=18.68
Step-by-step explanation:
V=( [tex]\pi[/tex] h r² )/ 3
h = 3V / r²·[tex]\pi[/tex] = 18.68
Answer:
V=3,14×6
=18,68
A.16,68 feet
I need help with this question, please answer quickly.
Answers
Answer:
Flowers: 5
Vegetables: 25
Step-by-step explanation:
Write an expression to find the amount of money you will earn in a day if you are paid $10.25 an hour and spend $4.00 round trip to get to and from work.
A. 10.25h − 4
B. 10.25h + 4
C. 10.25h(4)
D. 10.25h / 4
Answers
Answer:
A. 10.25h − 4
Step-by-step explanation:
Hope this helps
The growth rate of Las Vegas is about 3.5% per year. If the population in 2010 was 1.35 million, what would be the expected population in 2020?
Answers
Answer:
Expected population= 1,904,308 people
Step-by-step explanation:
Giving the following information:
Present Value (PV)= 1,350,000
Number of periods (n)= 10 years
Growth rate (g)= 0.035 per year
To calculate Future Value (FV), we need to use the following formula:
FV= PV*(1 + i)^n
FV= 1,350,000*(1.035^10)
FV= 1,904,308 people
-8x+14≥60 or -4x+50<58
Answers
Answer: x ≤ −23/4 or x> -2
Step-by-step explanation: