Segments BF, CD, and AE are medians for triangle ABC. Point K is the intersection of all three medians. The measure of segment FK is 3.40 cm and segment EK = 1.63 cm. Find the sum of the lengths of segments AK and BK.
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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Question Help
Writing lan's car can go 245 miles on 7 gallons of gas. During a drive last weekend, lan used
4 gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if you
were given the distance lan drove last weekend instead of how much gas he used.
He drove _miles.
#14 A scale drawing of a rectangular room measures 2 cm by 4 and 1/4 cm. E
The scale used for the scale drawing is 1/2 cm = 5 ft. Carpeting will cost
$8.50 a square foot. How much will it cost to buy enough carpet to cover
the floor of this rectangular room? (**numbers and decimal only in answer
** NO $$ NO comma**) *
Answer:
Step-by-step explanation:
Width
1/2 cm = 5 feet
2cm = x Cross Multiply
1/2 x = 2 * 5 Combine
1/2 x = 10 Multiply both sides by 2
x = 20
Length
1/2 cm = 5 feet
4 1/4 cm = x Cross Multiply
1/2 x = 4 1/4 * 5 Combine the right
1/2 x = 21.25 Multiply both sides by 2
x = 42.5
Room Area
Area = 20 * 42.5
Area = 850 square feet
Cost
1 square foot costs 8.5 dollars.
850 square feet costs 8.5 * 850
850 square feet costs 7225 dollars.
How do you figure out division expression with answer of 19.1
Answer:
its 5823
Step-by-step explanation:
help urself
A chemical company makes two brands of antifreeze. The first brand is 40% pure antifreeze, and the second brand is 60% pure antifreeze. In order to obtain 180 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used?
First brand =
Second Brand=
Answer:
Step-by-step explanation:
Let x be the portion of 60%
180 - x is the portion of 40%
0.60x + 0.40(180 - x) = 0.55(180)
0.60x + 72 - 0.40x = 99
0.20x = 27
x = 135
180 - 135 = 45
First brand = 45 gallons of 40%
Second Brand = 135 gallons of 60%
Si caminara 1 2/3 alrededor de la jardinera triangular,Cuantos metros recorrería?
Answer:
0.0423333333 meters
Step-by-step explanation:
When you convert, you will receive the same result.
Question 7 of 15
Which is an equation of the line through (0,0) and (5,-2)?
A. y = 2
B. y = -x
C. y = -2
D. y = x
... None?
Not A because y = 2 is shown as forever 2 so cannot go through both points.
Not B because y = -x cannot go through (5,-2)
Not C because y = -2 cannot go through (0,0)
Not D because y = x cannot go through (5,2)
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective.
Step 1 of 2: Suppose a sample of 1221 floppy disks is drawn. Of these disks, 61 were defective. Using the data, estimate the proportion of disks which are defective.
Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
a
Step-by-step explanation:
a
Review of Unit 6 Measurement:
Michael bought 42 feet of baseboard trim to put around the edges of his workout
room. He used 39 feet 5 inches, which means he still has 2 feet 7 inches leftover for
another project or to use for a repair, if needed. True or false?
Helpful conversion fact: 1 foot = 12 inches
True
False
Answer:
True
Step-by-step explanation:
Brought - the amount used
42 feet - 39 feet 5 inches.
42 feet 0 inches = 41 feet 12 inches
- 39 feet 5 inches = - 39 feet 5 inches
2 feet 7 inches
A water sprinkler covers the area shown in the figure.
It moves through the covered area at a rate of about 5 per second.
What is the measure of the are covered by the sprinkler?
If the sprinkler starts at the far left position,
how long will it take for the sprinkler to reach
the far right position?
A water sprinkler has a rotational motion in order to reach a broad area
from its stationary location.
The time it takes the sprinkler to reach the far right position is 36 seconds.
Reasons:
The given parameter are;
The angular speed of the water sprinkler, ω = 5° per second
Location where the sprinkler starts = The far left position
Required:
The time it takes the sprinkler to reach the far right position.
Solution;
The angle covered by moving from the far left to the far right, θ = 180°
Time required is given as follows;
[tex]\omega = \mathbf{\dfrac{\theta}{t}}[/tex]
Therefore;
[tex]t = \dfrac{\theta}{\omega}[/tex]
Which gives;
[tex]t = \dfrac{180 ^{\circ}}{5^{\circ}/s} = 36 \, s[/tex]
The time it takes the sprinkler to reach the far right position, t = 36 seconds.
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8.6w+2.2(2w-5)=54
help plz
8th grade math
What is x in x^2-x-6=0 pls
Answer:
x = 2 or -3Step-by-step explanation:
What is x in x^2-x-6=0 pls
x^2 - x - 6 = 0
x + 2 * x - 3 = 0
x + 2 = 0
x - 3 = 0
x = 2 or -3
Answer:
x= -2 or x= 3
Explanation:
the factors of -6 which sum to -1 are -3 and + 2
(x - 3) (x + 2) = 0
equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = −2
x − 3 = 0 ⇒ x = 3
Is 2.34 a rational number?
Answer:
Yes.
Step-by-step explanation:
2.34 is a terminating decimal, meaning that it ends. Therefore, it is rational.
During the year 2011 season a quarterback passed for 302 yd per game he played on my 16 regular season game for that year for how many total yards did the quarterback pass
Answer:
4,832 yards
Step-by-step explanation:
302x16=
The total measure of the three angles of a triangle is 180° is known as ……………………………… property of a triangle.
Answer:
Angle sum property
Step-by-step explanation:
This is because one exterior angle is equal to the sum of the other two interior angles.
The area of Triangle abc is 3cm 4cm 3cm
Answer:
Step-by-step explanation:
ASSUMING the given dimensions are the lengths of the legs
we have an equilateral triangle with base 4 and height
h = √(3² - (4/2)²) = √5
A = ½bh = ½(4)(√5) = 2√5 cm²
Complete the chart!! :)
Answer:
1 foot is 12 inches so 6 feet would be 72 inches
Step-by-step explanation:
12x6=72
no link or bot answer the question
Answer:
480in
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
6 * 8 = 48
48 / 2 = 24
because it's half a square
Given the perimeter P and the side B on the following rectangle are as indicated, find the side.
Answer:
a=7.6
Step-by-step explanation:
Since the perimeter is the length of the circumference, P=2a+2b=2(a+b)
We know b and P and if we do the math we get the answer
1.25 is closer to 1.04 or not ?
plz heelp
1. Evaluate |-x - 2y| for x = -2 and y = 3
Answer:
4
Step-by-step explanation:
x = - 2
y = 3
l - x - 2y l
= l - ( - 2 ) - 2 ( 3 ) l
= l 2 - 6 l
= l - 4 l
= 4
Find the value of the constant term in the expansion of x^4 (x+3/2x^2)^5
5 is the answer ok I'll explain
7x+14y−3y+12x+32y+54x+2x+8y
Answer:
it would be 75 + 51
hope this helps
136
Step-by-step explanation:
A cheetah can run at its top speed for about 25 seconds. If
the cheetah can run 125 meters in 5 seconds, how far can it
run in 25 seconds? How long will it take it to run 250 meters?
How many meters does it run per second?
No bots plsss
Answer:
625 meters in 25 seconds
250 meters in 10 seconds
Step-by-step explanation:
125 x 5 = 625
125 x 2 = 250
Need helppppppppppppppp
Answer: Try square root for the first one.
Step-by-step explanation: I know a lot about graphs tell me if I am right or wrong. Ok?
What is the value of the expression when a = 4, b = 3 , and c = 10?
3a4b−c
1
4
6
12
we have a = 4, b = 3 , and c = 10
So 3a4b−c = 3 x 4 x 4 x 3 - 10 = 134
ok done. Thank to me :>
Explain how to compare decimals. Use the numbers 6.75 and 6.732 to
help you explain this process.
Answer:
6.75>6.732
Step-by-step explanation:
We are given that
6.75 and 6.732
We have to compare two given decimal numbers.
First we convert like decimal number
In 6.75 there are two digits after decimal point.
In 6.732 , there are three digits after decimal point
Therefore, we put zero in 6.75 to convert like decimal number
Now, we get
6.750
Unit place of both decimal numbers are same and tenth place of both decimal number are same.
Now, hundredth place of 6.750 is 5 and hundredth place of 6.732 is 3
5 >3
Therefore, 6.750 is greater than 6.732
6.75>6.732
b. During two years of college, a student earned $12,000. The second year she earned $500
more than twice the amount she earned the first year. How much did she earn the first
year?
Answer:
6000 dollars duhhhhhhhhhhhh
Which of the following describes how to write the decimal number six hundred twenty-seven thousandths?
Answer:
0.627
Step-by-step explanation:
I will turn the word form of the number into decimal form backwards to make it easier:
7 is in the thousandths place
2 is in the hundredths place
6 in the tenths place
0 being in the ones place
That being said, the word form of a number can be turned into number, decimal, percent and fraction forms! Any other problems involving forms of numbers, you can come to me :D
This diagram shows a pre image triangle ABC and its image triangle A'B'C' , after a series of transformations. Select from the drop down menu to correctly complete the statements.
Answer:
Step-by-step explanation:
ABC is translated right 4 units to become A'B'C'
which is then
Mirrored over the x axis to become A"B"C"
no idea what the last two might be because we don't know the options.
Could be "similar" "magnification of 1" "congruent"
