The diameter of om is 68 cm and the diameter of oj is 54 cm. if the length of jk is 8 cm, what is the length of lm? lm​

Answers

Answer 1

The length of lm is 10 cm.

To find the length of lm, we need to use the fact that om and oj are both diameters of their respective circles. We can start by finding the radius of each circle:

- The radius of om is half of its diameter, so it's 34 cm.
- The radius of oj is half of its diameter, so it's 27 cm.

Next, we can use the fact that jk is perpendicular to lm to create a right triangle:

- One leg of the triangle is jk, which we know is 8 cm.
- The other leg is half of the difference between the radii of the two circles, since lm connects the two circles. That means the other leg is (34 - 27)/2 = 3.5 cm.

Now we can use the Pythagorean theorem to find the length of lm:

lm² = jk² + (radius difference/2)²
lm² = 8² + 3.5²
lm² = 70.25
lm = 10 cm

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Related Questions

5(x+3)=17x-93 solve for x

Answers

I think it's 9, tell me if I'm wrong

What is the value of x?
O 20
0 35
O 60
O 70

Answers

Answer:20

Step-by-step explanation:

A portfolio of claims contains 10 each of bodily injury, property damage, worker's compensation and comprehensive claims. Five claims are randomly drawn from this portfolio. Find the probability that the selected claims contain exactly three claims from one coverage and exactly two claims from one of the other coverages.

Answers

The value of P is approximately 0.0082027.

To find the probability of selecting exactly three claims from one coverage and exactly two claims from one of the other coverages, we need to calculate the total number of ways to choose three claims from one coverage and two claims from another coverage, and divide it by the total number of ways to choose five claims from the portfolio.

First, let's calculate the total number of ways to choose three claims from one coverage and two claims from another coverage. We have 10 bodily injury claims and 10 property damage claims to choose from, so the number of ways to choose three claims from one coverage is 10 choose 3 (denoted as C(10, 3)), and the number of ways to choose two claims from another coverage is 10 choose 2 (denoted as C(10, 2)). Multiplying these two combinations gives us the total number of ways to choose three claims from one coverage and two claims from another coverage.

Next, let's calculate the total number of ways to choose five claims from the portfolio. We have a total of 10 bodily injury claims, 10 property damage claims, 10 worker's compensation claims, and 10 comprehensive claims to choose from, so the number of ways to choose five claims from the portfolio is 40 choose 5 (denoted as C(40, 5)).

Finally, to find the probability, we divide the total number of ways to choose three claims from one coverage and two claims from another coverage by the total number of ways to choose five claims from the portfolio.

Therefore, the probability that the selected claims contain exactly three claims from one coverage and exactly two claims from one of the other coverages can be calculated as:

P = (C(10, 3) * C(10, 2)) / C(40, 5)

P = (C(10, 3) * C(10, 2)) / C(40, 5)

ChatGPT

To solve the expression P = (C(10, 3) * C(10, 2)) / C(40, 5), we can substitute the values into the combination formulas and perform the calculations:

C(10, 3) = 10! / (3!(10-3)!) = 10! / (3! * 7!) = (10 * 9 * 8) / (3 * 2 * 1) = 120

C(10, 2) = 10! / (2!(10-2)!) = 10! / (2! * 8!) = (10 * 9) / (2 * 1) = 45

C(40, 5) = 40! / (5!(40-5)!) = 40! / (5! * 35!) = (40 * 39 * 38 * 37 * 36) / (5 * 4 * 3 * 2 * 1) = 658,008

Now, we can substitute these values into the expression:

P = (C(10, 3) * C(10, 2)) / C(40, 5) = (120 * 45) / 658,008

Performing the calculation:

P = 5,400 / 658,008

Simplifying the fraction:

P ≈ 0.0082027

Therefore, the value of P is approximately 0.0082027.

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I need the answer it’s due at 6 I need a answer asap

I need the answer its due at 6 I need a answer asap

Answers

Answer:

third answer

Step-by-step explanation:

lowest value is -7 and highest is 10

hhhhheeeelppppp !!!!!

hhhhheeeelppppp !!!!!

Answers

Answer:

attached above is the answer

hhhhheeeelppppp !!!!!

Answer:

- 28     8

- 28    -6  

Step-by-step explanation          

Can someone please help me asap?? I’ll mark brainlist !!

Can someone please help me asap?? Ill mark brainlist !!

Answers

Answer:

It's the same price.

Step-by-step explanation:

20% of $200 is $40. Either way, you get $40 off.

A principal of $900 was invested at 2.5% interest, compounded annually. Let t be the number of years since the start of the investment. Let y be the value of the investment in dollars. Write an exponential function showing the relationship between y and t.
Group of answer choices

Answers

Answer:   900 x (2.5 x t) = y

900 hundred dollars originally invested, times the number of years multiplied by the yearly interest rate, equals Y, or the amount of the investment in dollars.

I hope this helps & good luck <3 !!!

I have a D in math. May someone please help me with my assignment so I can bring my grade up? Thank you so much! 20 points by the way!!!

I have a D in math. May someone please help me with my assignment so I can bring my grade up? Thank you

Answers

Answer:

$1125

Step-by-step explanation:

you can see on the y graph that the highest point it reaches is more than 1100 dollars so it is $1125.

what does the slope of graph show about the Hardware stores selling price for the rope?

Answers

Answer:

If the price is increasing or decreasing

Step-by-step explanation:

The slope is a visual representation of the cost over time.

Answer:I think  It Shows How Much You Have

Step-by-step explanation:

are statistics and quantitative data necessarily more valid and objective than qualitative research?

Answers

No, statistics and quantitative data are not necessarily more valid and objective than qualitative research.

While quantitative data can provide precise numerical measurements, it may not capture the full complexity of a particular phenomenon or experience. Qualitative research, on the other hand, can offer rich and nuanced insights into human behavior and attitudes. It allows for a deeper understanding of the context and meaning behind the data.

Ultimately, the choice between quantitative and qualitative research depends on the research question and the goals of the study. Both methods have their strengths and limitations, and it is important to consider them carefully when designing a study.

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The image of ABC is A'B'C. What transformations would result in this image?


ABC is rotated 180° around the origin, then T: ( x, y) → ( x - 1, y - 1).

ABC is reflected over the line x = 1, then is reflected over the line y = -1.

ABC is rotated -90° around the point, then T: ( x, y) → ( x + 5, y + 3).

ABC is rotated -90° around the origin, then T: ( x, y) → ( x + 5, y - 1).

(multi choice)

The image of ABC is A'B'C. What transformations would result in this image?ABC is rotated 180 around

Answers

Triangle ABC was rotated 90° around the point, then translated using the rule (x, y) → ( x + 5, y + 3) to form triangle A'B'C'.

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and translation.

Triangle ABC was rotated 90° around the point B, then translated using the rule (x, y) → ( x + 5, y + 3) to form triangle A'B'C'.

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Leah Deposited $7000 in an account that earns 2% interest compounded annually. How much interest will she have earned after 6 years?

Answers

Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

List the angles of the triangle in order from
largest to smallest.

List the angles of the triangle in order fromlargest to smallest.

Answers

Answer: A, C, B

Step-by-step explanation:

Because "a" has 8 across

And "c" has 10 across

and "b" has 13 across

On dividing -8016 by x, the value obtained is -16. Find the value of integer x.

Answers

Answer:

x=501

Step-by-step explanation:

so to find x we take -8016 divide by -16 which equal 501

The required value of x when dividing -8016, the value obtained is -16, is 501.

On dividing -8016 by x, the value obtained is -16. Find the value of integer

What is simplification?

In mathematics to operate and interpret the function to make function simple or more understandable called simplification.

Here,
-16 = -8016/x
x = 8016/16
x = 501

Thus, the required value of x when dividing -8016, the value obtained is -16, is 501.  

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Which lines are parallel to the graph of 4x - y = 6?

Answers

Answer:

Step-by-step explanation:

i cant see answers help my insta is 813.caden

Answer:

y+1=4(x-2)

y=4x+11

8x-2y+6

Step-by-step explanation:

Find the circumcenter of the triangle formed by the vertices (4 2) (3 3) and (2 2)

Answers

Coordinate of circumcenter of the given triangle = (3, 2)

What is circumcenter of a triangle?

Circumcenter of a triangle is the point of intersection of the perpendicular bisectors of every sides of the triangle.

Let the coordinate of circumcenter be (x , y)

Distance of Circumcenter from (4,2) =

\(\sqrt{(x - 4)^2 + (y-2)^2\)

Distance of Circumcenter from (3, 3) =

\(\sqrt{(x - 3)^2 + (y-3)^2\)

Distance of Circumcenter from (2,2) =

\(\sqrt{(x - 2)^2 + (y-2)^2\)

By the problem,

\(\sqrt{(x - 2)^2 + (y-2)^2} = \sqrt{(x - 3)^2 + (y-3)^2}\\(x - 2)^2 + (y-2)^2} = (x - 3)^2 + (y-3)^2}\\x^2 - 4x + 4 + y^2 -4y + 4 = x^2 -6x + 9 + y^2-6y + 9\\6x - 4x +6y -4y = 18-8\\2x +2y = 10\\x+ y = 5\\\)..... (1)

Again,

\(\sqrt{(x - 4)^2 + (y-2)^2} = \sqrt{(x - 3)^2 + (y-3)^2}\\(x - 4)^2 + (y-2)^2} = (x - 3)^2 + (y-3)^2}\\x^2 - 8x + 16 + y^2 -4y + 4 = x^2 -6x + 9 + y^2-6y + 9\\8x - 6x +4y -6y = 20-18\\2x -2y = 2\\x- y = 1\\\)...... (2)

Adding (1) and (2)

\(2x = 6\\x = \frac{6}{2}\\x = 3\)

Putting the value of x in (1),

3 + y = 5

y = 5 - 3

y  = 2

Coordinate of circumcenter = (3, 2)

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20 POINTS HELP. Write key ideas and a short summary about algebraic substitution...

Answers

Answer:

we used graphs to classify how many solutions a system of two linear equations had. What if we are not given a point of intersection, or it is not obvious from a graph? Can we still find a solution to the system? Of course you can, using algebra!

Step-by-step explanation:

A 7-kg bag of apples for $10

Answers

Answer:

0.7 kg = $1

Step-by-step explanation:

7 kg - $10

? kg - $1

7 / 10 = 0.7

0.7 kg = $1

Let me know if I did something wrong :)

Answer:

7:10

Step-by-step explanation:

I do not know if this is a ratio problem but if this is than the answer is 7:10

What is the answer???

What is the answer???

Answers

Answer:

The perimeter is 47.6 cm

Step-by-step explanation:

We can find the perimeter by adding up the sides

Since it is an equilateral triangle, the base is 7.2 to fill the gap, so the sides are 7.2

P = 7.2 + 13+ 7.2+7.2+ 13

   =47.6

What is the answer???

Answer:

the answer for this question is 93.6

Step-by-step explanation:

Well, we are finding the perimeter.

Best way to do this is multiply

7.2 x 13 = 93.6

So, 93.6 is the answer to this question


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a straight line is given to pass through the points (1, 5) and (2, 8). the equation of the straight line is of the form y

Answers

y = 3x + 2

The equation of the straight line passing through the points (1, 5) and (2, 8) is y = 3x + 2?

To find the equation of a straight line passing through two given points, we can use the point-slope form of the equation:

y - y₁ = m(x - x₁)

where (x₁, y₁) and (x, y) are the coordinates of the points, and m is the slope of the line.

Given the points (1, 5) and (2, 8), we can substitute these values into the equation:

y - 5 = m(x - 1)

Next, we need to find the value of the slope, m. The slope is given by the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Substituting the values of the points into the formula:

m = (8 - 5) / (2 - 1)

m = 3 / 1

m = 3

Now we can substitute the value of the slope, m = 3, into the equation:

y - 5 = 3(x - 1)

Simplifying the equation:

y - 5 = 3x - 3

Adding 5 to both sides:

y = 3x + 2

So, the equation of the straight line passing through the points (1, 5) and (2, 8) is y = 3x + 2.  

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Armando has $25 to spend. he wants to buy 2 pounds of hamburgers at $3 per pound, a bag of buns for $2, and 5 bags of chips for $4 each. Sort each statement into True or False.

Armando has $25 to spend. he wants to buy 2 pounds of hamburgers at $3 per pound, a bag of buns for $2,

Answers

Answer:

True- She needs $3 more. She will not have enough money to buy everything. The cost is $28.

False- She has $3 left over.

Step-by-step explanation:

2 pounds of burgers for $3 each is $6

1 bag o bun equals $2

5 bags of chips for $4 each is $20

$20 + $6 +$2 = $28

She only had $25 to spent, so she doesn't have enough money and needs to 3 more dollars.

Each big square below represents one whole.
What percent is represented by the shaded area?

Each big square below represents one whole.What percent is represented by the shaded area?

Answers

Answer:

173%

Step-by-step explanation:

I think?

Calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall.
Answer:

Logic - BMI formula
703*(lbs/inches^2)
703(118/64^2)=703(118/4096)
703*0.0288=20.2464

Answers

The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

BMI stands for Body Mass Index.

It's a measure of body fat based on height and weight that applies to both adult men and women.

BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.

It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.

Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703

First, we need to convert the height into inches:5 feet 4 inches = 64 inches

Next, we plug the values into the formula and solve for the BMI:

BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464

Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

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You want to have $293,000.00 when you retire 28 years for an annuity. How much money should be deposited at the end of monthly in an investment plan that pays 4.4% compounded monthly, so you will have the $293,000.00 in 28 years?

Answers

You should deposit approximately $340.84 monthly to reach $293,000 in 28 years at a 4.4% annual interest rate compounded monthly.

To calculate the monthly deposit required for an investment plan paying 4.4% interest compounded monthly to reach $293,000 in 28 years, we use the future value of an annuity formula:

FV = P * (((1 + r)^n - 1) / r)

Here, FV is the future value, P is the monthly deposit, r is the monthly interest rate, and n is the number of payments. First, convert the annual interest rate (4.4%) to a monthly rate by dividing by 12, which gives 0.0367 (4.4%/12) or 0.00367 as a decimal. The number of payments (n) is 28 years * 12 months/year = 336.

We want to find P, so rearrange the formula:

P = FV / (((1 + r)^n - 1) / r)

Substitute the values:

P = $293,000 / (((1 + 0.00367)^336 - 1) / 0.00367)

P ≈ $340.84

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A machinist creates a solid steel part for a wind turbine engine. The part has a volume of 1015 cubic centimeters. Steel can be purchased for 29 fils per kilogram and has a density of 7. 95 g/cm3. If the machinist makes 500 of these parts, what is the cost of the steel, to the nearest dirham?.

Answers

If the machinist makes 500 of these parts, the cost of the steel is 1170 dirham ( rounds to the nearest dirham).

We have, A machinist creates a solid steel part for a wind turbine engine. Let us consider volume, mass and density of steel part be "V", "M", "D" respectively.

Density of a material is defined as mass of material per unit volume of material,

D = M/V .

Volume of steel part, V = 1015 cm³

The cost of steel part = 29 fils per kg

Density of steel part, D = 7. 95 g/cm³

Number of steel part used by machinist

= 500

So, Denssity = Mass of steel part/ Volume of steel part

=> 7. 95 g/cm³ = M/1015 cm³

=> M = 7.95× 1015 g

=> M = 8,069.25 g

Now, Convert the mass of steel part from grams to kilograms using conversion units.

Mass of steel part, M = 8,069.25/1000 g

=> M = 8.07 kg

So, cost of one steel part = 29 fils/kg × 8.07 kg = 234.008 ~ 234 fils

If the machinist makes 500 of these parts, the cost of the steel = 500× 234

= 117,000 fils.

But we wants the cost of steel in dirham so we have to convert the fils units into dirham units,

One dirham is divided into 100 fils.

So, 117,000 fils = 117,000/100 dirham

= 1170 dirham.

Thus, required cost of steel is 1170 dirham.

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the only calculated fields you can create in access are those involving addition and subtraction. True or false?

Answers

Answer:

false

Step-by-step explanation:

False.

Access supports a wide range of built-in functions and operators that can be used to create calculated fields. These functions and operators include mathematical functions (such as multiplication, division, exponentiation), string functions (such as concatenation, trimming, and formatting), date and time functions, aggregate functions (such as sum, average, count), and more.

In addition, Access also allows you to create user-defined functions using VBA (Visual Basic for Applications), which can be used to perform custom calculations on your data.

Therefore, the statement "the only calculated fields you can create in Access are those involving addition and subtraction" is false.

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aya has 14 2/5 feet of chain. She wants to make pieces foot long math. How many can she make? b Solve the problem using decimals

Answers

Aya can make 14 mats of 1 foot long.

What is division?

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator was wrong! Help would be greatly appreciated!

I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer

Answers

Answer:

V = 3,367.6 cm³

Step-by-step explanation:

Diameter of sphere (D) = 18.6 cm

radius (r) = ½(18.6) = 9.3

π = 3.14

Formula for volume of a sphere = ⁴/3πr³

Plug in the values

V = ⁴/3 × 3.14 × 9.3³

V = ⁴/3 × 3.14 × 804.357

V = (4*3.14*804.357)/3

V = 3,367.57463

V = 3,367.6 cm³ (nearest tenth)

How many radians are in 1 degree?
A
TT
180
B
180
TT
c
TT
360
D
360
TT

Answers

Answer: C Because Radians Are Rotations 1 Radian is 360 Degrees

Step-by-step explanation:

Find the values of x and y​ in the picture

Find the values of x and y in the picture

Answers

Answer:

x = 56y = 75

Step-by-step explanation:

You want the measures of the angles marked x° and y° in the given diagram.

Inscribed angle

The measure of an inscribed angle is half the measure of the arc it intercepts. This means any inscribed angles that intercept the same arc will have the same measure.

The inscribed angles with vertices J and K both intercept arc FH, so both have the marked measure of 56°.

  x = 56

Angle at chords

The angle where the chords cross (y°) will be half the sum of the arcs those chords intercept. Here, those are arcs FH and JK.

Given that half the arc measure is the measure of the intercepting inscribed angle, we can simply sum the inscribed angles to get y°:

  y° = 56° +19° = 75°

  y = 75

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