The point of concurrency of the three median is the centroid of the triangle ABC.
The sum of the lengths of AK and BK is 10.06Reasons:
The given parameters are;
The medians of the triangle ABC = Segments BF, CD, and AE
The length of segment FK = 3.40
Length of segment EK = 1.63
Required:
The sum of the lengths of segment AK and BK
Solution:
The ratios of the lengths of AK to KE = 2:1
Therefore, we have;
[tex]\dfrac{AK}{KE} = \dfrac{2}{1} = \mathbf{\dfrac{AK}{1.63}}[/tex]
1.63 × 2 = 1 × AK
AK = 3.26
Similarly, we have;
[tex]\dfrac{BK}{KF} = \dfrac{2}{1} = \mathbf{\dfrac{BK}{3.40}}[/tex]
3.40 × 2 = BK
6.80 = BK
Which gives;
AK + BK = 3.26 + 6.80 = 10.06
The sum of the lengths of AK and BK = 10.06
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Need help with this 3 questions
Answer:
68. (-1, 0)
69. (0, 2)
70. (2, -1)
Step-by-step explanation:
The solution is the ordered pair (x, y) where the lines intersect. The graphs have no scale, so we must assume 1 grid space corresponds to 1 unit.
The first coordinate of the pair is the horizontal distance from the y-axis. Positive is to the right. The second coordinate of the pair is the vertical distance from the x-axis. Positive is up.
68. The point of intersection is 2 left of the origin on the x-axis. x=-2, y = 0.
(x, y) = (-2, 0)
__
69. The point of intersection is 2 up from the origin on the y-axis: y = 2, x = 0.
(x, y) = (0, 2)
__
70. The point of intersection is 2 right and 1 down from the origin: x = 2, y = -1.
(x, y) = (2, -1)
_____
It is a good idea to learn to read the coordinates of a point from a graph. You will be doing it a lot in your math courses.
Hello there can you please help y
Answer:
5x + 28 = 7x - 4
2x = -32
x = -16
Dina and masha started out on a 12 mi bike path at the same time. when dina reached the end of the 12 mi, masha still had 4 mi left to bike. if dina's biking speed is 10 mph, find masha's biking speed. HELP NOWWW
Answer:
Dina took 12/8 = 3/2 hrs
So, if Masha's speed was x
3/2 x = 12-3
x = 6 mi/hr
Answer:
Step-by-step explanation:
Dina finished in a time of
12 mi / 10 mi/hr = 1.2 hr
Masha's speed is (12 - 4 mi) / 1.2 hr = 6⅔ mph
PLEASE HELP !!! PICS DOWN BELOW
Answer:
262.25 $
Step-by-step explanation:
The mean of 4 numbers is 40, what is the sum of the 4 numbers
Answer:
the sum of 4 numbers is 160
Step-by-step explanation:
Let 4 numbers be a, b, c, d
Mean of those 4 numbers is: (a+b+c+d) : 4 = 40
So the sum of 4 numbers is: (a+b+c+d) = 40 x 4 = 160
=> 160 is the sum of 4 numbers
100.000.000x30
Kaçtır?
Answer:
the answer is 3000000000
Can someone help please
Answer:
0.3 miles per hour
Step-by-step explanation:
Speed is distance divided by time so your equation is 45 divided by 150. 45 divided by 60 plus 60 plus 30 = 150 45 divided by 150= 0.3
A machine packs 180 boxes of cereal in a half-hour. It takes 55 minutes to pack 330 boxes. True or False?
Answer:
True
Step-by-step explanation:
If you divide 180 by 30 you will get 6. then 6 times 5 is 30. If you add 30 to 330 you will get 360. If you take 180 boxes for 30minutes and double. You get 360 boxes in 60minutes. If 5 minutes is 30 boxes. Subtract 30 from 360 and you get 330 in 55 minutes.
What is the y-intercept of the line shown?
Answer: 4
Step-by-step explanation:
It crosses on the y axis at the point (0,4)
Answer:
4
Step-by-step explanation:
The y-intercept of the line shown is 4.
Hope this helps :)
What is the equation of this line?
A. y= x - 3 =
B. y=-x-3 =
C. y= -2x - 3
D. y=2x-3 - - 3
Lindsey went to best buy and bought an MP3 Player. If the MP3 Player costs $78.99 and the sales tax was 6.5%, what was her total bill?
Answer:
$84.12
Step-by-step explanation:
78.99 x 0.065 = 5.13
78.99 + 5.13 = 84.12
(2a-1/3) / b/15 when a=-3/5 and b=-6.75
Answer:
4.148148149
Step-by-step explanation:
that's the answer
Step-by-step explanation:
2a-1/3 / b/15
[tex](2 \times \frac{ - 3}{5 } ) \div \frac{ - 6.75}{15} \\ = \frac{ - 6}{5} \times \frac{15}{ - 6.75} \\ = \frac{18}{6.75} [/tex]
Theresa Morgan, a chemist, has a 30% hydrochloric acid solution and a 55% hydrochloric acid solution. How many liters of each should she mix to get 437.5 liters of a hydrochloric acid solution with a 45% acid concentration?
Answer:
Step-by-step explanation:
30F + 55S = 45(437.5)
30F + 55S = 19687.5
30F = 19687.5 - 55S
F = (19687.5 - 55S) / 30
30((19687.5 - 55S) / 30) + 55S = 19687.5
S = 0 (30%)
F = (19687.5 - 55S) / 30 (55%)
The volume of a gas in cubic centimeters, V, varies inversely with the
pressure of the gas in liters per square centimeter, p.
When the volume of the gas is 16 cm, its pressure is 20 L/cm2. Find the
volume of the gas when the pressure is 2.5 L/cm2
A. 322.5 cm
B. 800 cm3
C. 128 cm3
D. 0.008 cm
Answer:
C. 128 cm³
Step-by-step explanation:
16(20) = 320
320/2.5 = 128 cm³
Find the differential of the function.
u = 3x4 + 4
Answer:
U(x)= 3+4
Step-by-step explanation:
I simplified this equation into function notation form, then simplified the 12 and 4 with the common factor of 4.
Hope this helped and have a great day,
Ginny
Answer:
14
Step-by-step explanation:
you could solve this three different ways
1. 4*3 is 12 so add 4 = 16
2. 4 squared because 4*4 = 16
3. draw 4 groups of four to get 16
If the function f (x) is defined by f(x) =x over 2 minus 6
Depending on how it is written, it could be either of these following solutions:
f(x) = x/2 - 6 or f(x) = x/(2-6)
For the first, we solve for x by replacing f(x) with 0
x/2 - 6 = 0
x/2 = 6
x = 3
For the second, do the same
x/(2-6) = 0
x/-4 = 0
x = 0
Help what is thisss
GIVING OUT BRAINLY IF U ANSWER
idc if sum r wrong
Answer:
it is a b and c
Step-by-step explanation:
help please im mark brainliest I just need to get this finish asap!
Answer:
See below
Step-by-step explanation:
1. A
2. F
3. G
4. I
Find the inequality represented by the graph
Answer:
y < 3/4 x
(We don't put another number at the end, if the y-intercept is 0, btw.)
Step-by-step explanation:
We know that the line has a positive slope, because it's going upwards to the right.
(We can use rise/run to determine the exact slope: Just go up 3 units and to the right 4 units, starting from the first point. Now we know the slope is 3/4).
Further more we know that the y-intercept is 0, because that's the point in which the line crosses the y-axis.
We also know that since the line is dotted, the sign will be either < or >.
And the shaded area below indictes that y is lesser than, meaning we use this sign <.
Hope this helps you :)
Luna is competing in a 200 m race.
She runs at a constant speed of 5.4 m/s for the first 50 m, then 4.4 m/s for 10 seconds.
The remainder of the race takes her 29 seconds to complete.
What is Luna's average speed for the entire race to 1 dp?
Answer:
24
Step-by-step explanation:
Answer:
24 in the answer
Step-by-step explanation:
Julie has 300ml of juice, She gives of the juice away.
How much juice does she give away?
Answer: Up to 300 ml because that is all she has in total. I think the question is missing parts.
Step-by-step explanation:
A. Direction: Arrange the given number tiles in a correct order to make it divisible to the given number. Apply the divisibility rules. Given Answer 3 8 4 3 2 9 1 6 8 3 8 3 8 0 5 1. Divisible by 8 2. Divisible by 4 3. Divisible by 11 4. Divisible by 12 5. Divisible by 4 6. Divisible by 8 7. Divisible by 11 8. Divisible by 12 9. Divisible by 4 10. Divisible by 8 7. 2 5 4 5 9 1 0 4 7 6 4 1 6 2 1
Steve bicycles 3 mi to school everyday at 15 mph. If school starts at 8:30 am and he needs 15 min to lock his bike and get to his desk then what time should he leave his house
Answer:
8:03
Step-by-step explanation:
time=speedxdistance
t=1/15x3
t=3/15hr
t=.2hr
t=12 mins
plus 15 mins to lock up bike, 27 mins
27 mins before 8:30 is 8:03
pls mark branliest
Please help me ASAP
Answer:
New points:
N: (4,-5)
X: (2,-3)
B: (-1,-4)
Step-by-step explanation:
Rotate about the origin (0,0) counter clockwise 90 degrees
If your income is constant, what will happen to your savings when your expenses increase?
PASAGOT PO!!!!!
Okay, suppose your income is about $100.
You might spend $70 & save $30.
Now, suppose your income remains constant at $100 but your expenses go up to, say, $90. You can see that your savings will reduce or decrease. Now, you'll only have about $10 to save.
=》 So, if your income is constant, then your savings will 'decrease' when your expenses increase.
_______
RainbowSalt2222 ☔
help pls//////////////////
Answer:
x = 6
Step-by-step explanation:
12(x -2) +3x = 1/3(x +12) +10x
12x -24 +3x = 1/3x +4 +10x . . . . . eliminate parentheses
15x = (10 1/3)x +28 . . . . . . . . . . add 24, collect terms
(4 2/3)x = 28 . . . . . . . . . . . . . subtract 10 1/3
x = (3/14)(28) = 6 . . . . . . . . multiply by 1/(4 2/3) = 3/14
The value x=6 satisfies the equation.
Question 2 (Essay Worth 10 points)
(07.02 MC)
An equation is shown below:
3(2x - 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
ses
GE
22 23
Source
VG
B I
US
IX
SE
E
Styles
Format
Answer:
Part A: 1 solution
Part B:
3(2x-7)=3
6x-21=3
+21 +21
6x=24
/6 /6
x=4
X=24
Step-by-step explanation:
First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4
What is the output of a function when tha input is -9
Answer: f(-9)
Step-by-step explanation:
A function is described in the form of f(x)
Therefore, if this is how a function is stated we have x as the input.
Here, the x is equal to -9
So now:
f(-9) after substitution.
Give an example of a function.
example:
Input 9 9 4 5 and output: 3 -3 2 -2
give examples plz
I will make the brainliest.
Find the volume of the following square pyramid.
Check the picture below.
[tex]\textit{volume of a pyramid}\\ V = \cfrac{Bh}{3}~~ \begin{cases} B = \stackrel{\textit{area of its base}}{50\times 50}\\ h = \stackrel{\textit{its height}}{60} \end{cases}\qquad \implies V = \cfrac{50\cdot 50\cdot 60}{3}\implies \boxed{V= 50000}[/tex]