If JM=30 and LM=8, what is KM?
Answers
If side JM = 30 and side LM = 8, the length of side KM is equal to 15.49 units.
How to determine the length of side KM?In this exercise, we would assign the variable x to the length of side KM. Based on the information provided about triangle JKM and triangle KML, we can logically deduce the following parameters;
Side JL = [(30 + 8) × x]/2
Side JL = 38x/2
Side JL = 19x.
Since point M is the perpendicular bisector of both triangle JKM and triangle KML, the length of side KM can be calculated as follows;
19x = √[(30² + x²)(x² + 8²)]/2
38x = √[(30² + x²)(x² + 8²)]
By taking the square of both sides, we have:
38²x² = (900 + x²)(x² + 64)
38²x² = 900x² + 57,600 + x⁴ + 64x²
38²x² = 964x² + 57,600 + x⁴
(x² - 240)² = 0
x² = 240
x = √240
x = 15.49 units.
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Related Questions
The formula for the volume, V, of a sphere with radius r is V=(43)πr3. If the radius of a baseball is 113 inches, what is the volume to the nearest cubic inch?
A. 6
B. 8
C. 10
D. 14
15
Answers
The volume of the baseball, to the nearest cubic inch, is A. 6 inches³
The volume of a sphere is calculated by the formula:
= 4/3 x π x radius ³
A baseball is a sphere and in this case its radius is 1.13 inches.
The volume of the baseball is:
= 4/3 x 22/7 x 1.13³
= 4/3 x 22/7 x 1.442897
= 6.0464 inches³
To the nearest inch it is:
= 6 inches ³
In conclusion, the volume of the baseball is 6 inches.
Find out more at https://brainly.com/question/13010008.
A student can solve 12 math problems in 45 minutes. How long will it take the student to complete 20 problems if all the problems take the same amount of time?
Answers
Answer:
75min or 1 hour 15min
Step-by-step explanation:
45/12 = 3.75min per problem
3.75 x 20 = 75min or 1 hour 15min
(x - 3 ) ( 6x -2)
help plz
Answers
6x² - 20x + 6
Step-by-step explanation:
[tex]\begin{aligned}\tt\left(x-3\right)\left(6x-2\right)&=\tt 6x^2-2x-18x+6\\&=\tt 6x^2 -20x+6\end{aligned}[/tex]
Answer:
6x^2 - 20x + 6
Step-by-step explanation:
(x - 3) (6x - 2)
6x^2 - 18x - 2x + 6
6x^2 - 20x + 6
The area of Ms. McCarthy’s garden measures 600 square feet. She plants vegetables in 75% of her garden and flowers in the remaining section. What is the area of the garden that Ms. McCarthy plants with flowers?
Answers
25/100 x 600 = 150 square feet
Answer
25
Step-by-step explanation:
100% - 75% = 25%
25/100 x 600 = 150 square feet
The Phillipses traveled 717.2 miles to pick up their new boat. At the end of the trip, the odometer read
23,518.9 miles.
Answers
Answer:
what is the question?
Step-by-step explanation:
ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok
If you invest $7,000 for 5 years, and you earn 4% interest, how much interest overall
will you earn, assuming the interest is NOT compounding? (Hint: I=PRT)
Show your answer as a whole number (no decimals).
Answers
The interest earned in five years is $1400.
What is simple interest?
Simple interest is interest calculated on the principal portion of a loan or the original contribution to a saving account.
Formula for simple interestA = P(1 + rt)
Where,
A is the final amount
P is the initial principal balance
r is the annual interest rate
t is time(in years)
According to the given question
We have
Initial Principal balance, P = $7000
Time, t = 5years
Annual interest rate, r = 4% = 0.04
Therefore, the amount in five years is given by
A = 7000(1 + 0.04(5))
A = 7000(1 + 0.2)
A = 7000(1.2)
A = $8400
Now, the interest earned in five years
S.I = A - P
⇒ S.I = $8400 - $7000
⇒ S.I = $1400
Hence, the interest earned in five years is $1400.
Learn more about simple interest here:
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A random survey showed that 35 out of 52 people plan to vote for Mr Powell for Mayor. About how many people voted in the election, if 525 voted for Mr Powell
Answers
Answer:
780
Step-by-step explanation:
35 out of 52 people voted. You’d have to divide the total votes, 525 by the people that voted, so 35 which would equal 15.
Then, multiply 15 by the total of people that didn’t vote, 52, which would equal 780.
Answer:
780
Step-by-step explanation:
a bread slicer runs 29 hrs per day for 30 days and slices 144,000 loaves of bread. how many loaves per hr are sliced?
conversions
Answers
Is it 4965 sph (slices per hour)
Please answer quick hw due tonight
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Answers
Answer:
50%
Step-by-step explanation:
2/3 * 0.5 = 1/3
0.5 = 50%
PLEASE MARK AS BRAINLIEST!!!!!What is an equation of the line that passes through the point (-8, -1) and is
parallel to the line x – 4y = 4?
Answers
Answer:
y = 1/4x + 1
Step-by-step explanation:
x - 4y = 4
x - 4 = 4y
1/4x - 4/4 = y
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Answers
Answer:
the First, third, and fifth
Step-by-step explanation:
Since one half of 12 is 6, then those three expressions will be the same since they have the same answer
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Answer:
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Step-by-step explanation:
Answer:
4th option is correct
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Find the z value that corresponds to the given area in the figure below.
Answers
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How many pounds of flour is required to make
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Answers
Answer:
10 1/2 pounds are needed.
Step-by-step explanation:
7 x 1.5 = 10.5
Wich relation is a function of x
Answers
Answer:
the first one
Step-by-step explanation:
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Have you ever wished to be a different gender than yourself?
Why or why not?
Answers
Answer:
No
Step-by-step explanation:
Because I feel whatever gender you are born ,you where born that gender for a reason .
Answer:
Yes.
Step-by-step explanation:
I have always wanted to be a boy, my personality isn't fit for a girl, I act like a boy, I look like a boy on the outside and feel like one on the inside, plus I wouldn't have to be through as much bullying and pain in my life, maybe I would have had a better life then :-(
BRAINLIEST!!! +15 POINTS!!! REAL ANSWERS ONLY!!!
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Answer:
x= 10,-2 (so basically x=10)
Step-by-step explanation:
Input each answers
Answer:
x=10
Step-by-step explanation:
10-3=7
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what is the answer to 95x-45+-8x[67=
Answers
Answer:
Combine Like Terms:
=95x+−45+−536x
=(95x+−536x)+(−45)
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Step-by-step explanation:
If Michael made 12 shots out of 18 what is the percentage of shots made by him?
Answers
Answer:
At least 66%
Step-by-step explanation:
65% of 18 is 11.7
67% of 18 is 12.06
Therefore, at least 66% of the shots where made by Michael.
Step-by-step explanation:
100% = 18
x% = 12
x% = 100% / 100 × x
so,
18/100 × x = 12
18x = 1200
x = 1200/18 = 200/3 ≈ 66.66666...
so, he made about 67% of the shots.
At a little-known vacation spot, taxi fares are a bargain. A 14-mile taxi ride takes 18 minutes and costs $.12.60 You want to find the cost of a 41-minutes taxi ride. What unit price do you need?
Answers
I think its about 60 dollars
Explain in your own words the meaning of equivalent
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Answers
Answer:Equivalent ratios are ratios that make the same comparison of numbers. Two ratios are equivalent if one can be expressed as a multiple of the other.
Answer:
ratios that make the same comparison of numbers
Step-by-step explanation:
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Nine hundred sixty seven divided by four with remander
Answers
Answer:
240
Step-by-step explanation: If this helped pls give this Brainliest answer.
Answer:
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Step-by-step explanation:
What is the slope of a line perpendicular to the line y= -42 + 16
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!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?
Answers
Answer:
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Two triangles are identical so you can just multiply the area of the first triangle by two: 2A1 = 2(½bh) = 2(½ab) = ab.
The total area of the trapezoid is : A1 + A2 = ab + ½c2
You multiply both sides by 2 to get rid of the ½: (a2 + 2ab + b2) = 2ab + c2
You subtract out the 2ab: a2 + b2 = c2.
Then what is left is the proof: a2 + b2 = c2
if 42 watts are used in 3 seconds how many watts are used per second?
Answers
Answer:
14 watts per second
Step-by-step explanation:
42 watts/3 seconds=14 watts per second
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I will mark brainliest
I will report for spam, stealing points, and links
Answers
Answer:
16. C 17.A 18.D 19.c
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What is the slope intercept of a line that passes through points (-4,-1) and (-8,7).
Answers
Answer:
-2
Step-by-step explanation:
y2 - y1 / x2 - x1
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find the slope of the line
Answers
Answer:
A. 3/4
Step-by-step explanation:
Find the 2 points, then count how many boxes it goes up and over to the second point.
Solve the equation: 8 = 1/3(a+5)
Answers
Answer:
a=19
Step-by-step explanation:
8=1/3(a+5) by dividing both sides by 1/3
24 = a+5 get 5 to other side with oposite sign
24-5 = a
a = 19
Answer:
a = 19
Step-by-step explanation:
8 = [tex]\frac{1}{3}[/tex] ( a + 5) ← multiply both sides by 3 to clear the fraction
24 = a + 5 ( subtract 5 from both sides )
19 = a
At a store, a televisionset has a marked price of $25,000. However there is a vat of 17.5% paid on all purchases. How many will the customer pay in total for the tv set
Answers
Answer:
$29,375
Step-by-step explanation:
Find 17.5% of 25,000 and add it to 25,000 to get the total.
25,000x17.5% = 4,375
25,000 + 4,375 =
29,375.