find x on the following figure​

Find X On The Following Figure

Answers

Answer 1

If the perpendicular from chord is x, the length of cord is 11.3 and diameter be 15.5 then the value of x is 4.54.

Given Perpendicular from center to chord is x. The length of cord be 11.3 and the diameter be 15.5.

Perpendicular means a line on other line making an angle of 90 degrees. Cord is the length of line joining two points on a circle and is different from radius or diameter. We know that the formula of calculating the length of chord is as under:

l=[tex]2\sqrt{r^{2} -d^{2} }[/tex]

now put the value of l=11.3 and r=15.5/2=7.25

11.3=[tex]2\sqrt{7.25^{2} -x^{2} }[/tex]

11.3/2=[tex]\sqrt{52.5625-x^{2} }[/tex]

5.65=[tex]\sqrt{52.5625-x^{2} }[/tex]

squaring both sides

[tex]5.65^{2} =52.5625-x^{2}[/tex]

31.9225=52.5625-[tex]x^{2}[/tex]

31.9225-52.5625=-[tex]x^{2}[/tex]

-20.64=-[tex]x^{2}[/tex]

20.64=[tex]x^{2}[/tex]

x=4.54

Hence if the length of cord is 11.3 and diameter is 15.5 then the value of x is 4.54.

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Related Questions

You have 660 grams AP apples. What is your EP weight if the yield is 75 percent? 

Answers

EP weight=495g
AP weight= 660g

factorize 3ac-6ad-2bc+4bd​

Answers

Answer:

(c - 2d) (3a - 2b)

Step-by-step explanation:

if you need the steps just ask me in the comments and I’ll type them lol

WHATS THE CORRECT ANSWER ANSWER ASAP

Answers

Answer:

Step-by-step explanation:

Comment

A: Gravity always pulls downward towards (to keep it simple) the earth's center. The answer is not A.

C: If you are interested in upward motion, Friction is not going to be the answer. What will the rocket rub against to make it go up?

D: Centripetal Force has to do with circular motion, The rocket generally is not thought of as going in a circle. Not D.

Answer: B. A chemical reaction can be directed so the energy will force an upward motion.

a. In the general education course requirement at a college, a student needs to choose one each from social sciences, humanities, natural sciences, and foreign languages. There are 5 social science courses, 4 humanity courses, 4 natural science courses, and 3 foreign language courses available for general education. How many different ways can a student choose general education courses from these 4 areas?

Answers

Using the Fundamental Counting Theorem, there are 240 ways to choose general education courses from these 4 areas.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

Considering the number of options for each course, the parameters are given as follows:

[tex]n_1 = 5, n_2 = 4, n_3 = 4, n_4 = 3[/tex].

Hence the number of ways is given by:

N = 5 x 4 x 4 x 3 = 240.

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find the area of a triangle whose sides are 5 m, 6 m and 9m,( use root 2 =-1.41 m)

Answers

Answer: 14.1 sq meters

Step-by-step explanation:

this question has already been answered


Customers can pick their own pumpkins at The Great Pumpkin Patch. They
pay $4 to enter the patch and $3 per pound for the pumpkins they pick. Write
an equation to model the total cost, y, for x pounds of pumpkins.
A. y = 3x+4
B. y = 3(x+4)
C. y = x(4+3)
D. y = 4x + 3

Answers

Answer:

the answer is A

Step-by-step explanation:

the starting point which is the addition part is 4 dollars for entrance and 3 stands for the price per pound and x is the amount of pounds

Giving brainliest :)

Answers

The system of equation that will represent her situation is as follows:

1.39b + 2.49m = 50.73

1.29b + 2.69m = 51.63

How to represent system of equation?

At store A she will pay a total sum of $50.73 for bread and milk.

At store B she will pay a total sum of $51.63  for bread and milk.

Therefore, the system of equation that will represent her situation is as follows:

where

b = number of breadm = number of milk

Therefore,

1.39b + 2.49m = 50.73

1.29b + 2.69m = 51.63

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Three friends start a business and decide to split the profits equally. Susan invests $6,000, John invests $4,000, and Pria invests $7,000. If the profits are $12,000, how much of the profits would Pria receive if the profits were divided proportional to how much each friend invested

Answers

Susan investment = $6000

John investement = $4000

Pria investment = $12000

investment proportion of Susan, John and Pria = 6:4:12= 3:2:6

Hence, Pria share in profit = (6/11)*$12000

                                            = $ 6,545.454

Answer:

Pria receives $4941.18 of the profits.

Step-by-step explanation:

• Susan invested $6,000,

• John invested $4000,

• Pria invested $7000.

The ratio of their investments Susan : John : Pria is 6000 : 4000 : 7000 ,

6 : 4 : 7

This means that Pria should receive 7/17 th of the total profits.

∴ Pria receives = [tex]\frac{7}{17}[/tex] × $12,000

                         = $4941.18

                         

median mark of 1,2,3,4,5,6,7,8 ​

Answers

Answer:

4.5

Step-by-step explanation:

1+2+3+4+5+6+7+8= 36

36/8= 4.5

4.5 because 4+5 = a / 2 = 4.5

Find the vertex

f(x) = 2x²-x-10

Answers

Answer:

vertex  =  (1/4 , -81/8)

Step-by-step explanation:

f(x) = y

f(x) = 2x²-x-10

a= 2

b= -1

c = -10

-b/2a

-(-1)/(2(2))

1/4

x = 1/4

f(x) = 2x²-x-10

y = 2x²-x-10

y = 2(1/4)²-(1/4)-10

y = 2/16-1/4-10

y = 2/16-4/16-160/16

y = -2/16-160/16

y = -162/16

y = -81/8

Match the expression to its simplified form.

Answers

5^-2=1/5^2=1/25
2^-4=1/2^4=1/16
5^3=5*5*5=125
2^5=2*2*2*2*2=32

Hope this helped :)

Abby can buy individual songs for $1.00 to download, or she can
download an entire album for $8.00. Abby can spend no more
than a total of $50. She wants to buy at least two albums, and no
more than 30 individual songs.
The following system of inequalities represents this situation,
where x is the number of individual songs and y is the number of
albums.
x + 8y ≤ 50
x ≤ 30
y22
Which yellow shaded region corresponds to Abby's possible
choices?

Answers

The solution to the inequalities x + 8y ≤ 50, x ≤ 30, y > 2 is the darker region shown on the graph.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the number of individual songs and y represent the number of albums, hence:

x + 8y ≤ 50   (1)

x ≤ 30    (2)

y > 2   (3)

The solution to the inequalities x + 8y ≤ 50, x ≤ 30, y > 2 is the darker region shown on the graph.

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The table represents the multiplication of two binomials.

Which letters from the table represent like terms?
A and B
B and C
A and D
B and D

Answers

B and C are the letters from the table which have like terms which is denoted as option B.

What is a Binomial?

This is referred to a type of polynomial which has two terms and is the sum or difference of a monomial.

From the table we can deduce the following:

A = -2x * 4x = -8x²B = 4x * 3 = 12xC = -2x * 1 = -2xD = 1 * 3 = 3

B and C have a degree of 1 which means they are like terms thereby making them the most appropriate choice.

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Answer:

option 2 is correct

Step-by-step explanation:

Which of the following is a metric unit for distance?

A. centimeters
B. miles
C. feet
D. kilograms

Answers

Answer:

A centimeters.

Step-by-step explanation:

A. centimeters
source: trust me bro

Cómo puedo hallar la longitud de un lado de un triángulo usando el teorema del ángulo de 30°

Answers

En un triángulo rectángulo con ángulos de 30° -60° -90°, para encontrar la longitud de un lado, debes encontrar la longitud de la hipotenusa.

¿Cómo encontrar la longitud de la hipotenusa?

Es necesario encontrar la longitud del cateto opuesto al ángulo de 30°, también conocido como cateto menor, y luego multiplicarlo por 2, descubriendo así el cateto de la hipotenusa, utilizando la fórmula del teorema de Pitágoras:

a²+b²=c²

Por lo tanto, puedes usar el teorema de Pitágoras para calcular la longitud del lado que falta en un triángulo rectángulo.

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The following histogram represents quiz scores and uses the following interval bins: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31- 35, and 36-40. Frequency 15 94°F 10 5 Grades on 40-Question Quizo 8 1-5 8 6-10 13 11-15 9 16-20 3 21-25 Grade on Quiz 4 26-30 Select the true statement for this histogram.

Answers

The student that earned a score of 21 or higher on the quiz has a cumulative frequency of 7 and the relative cumulative frequency of 14%

What is a Histogram?

This refers to the pictorial representation of data that is used to show the distribution of numerical data.

From the given image, the histogram shows the quiz scores of students and the frequencies, and the relative cumulative frequency was gotten  by dividing the frequency of each interval by the total number of observations

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Write this in logarithm form. √x = y

Answers

Answer:

[tex] \log_x y = \dfrac{1}{2} [/tex]

Step-by-step explanation:

[tex] \sqrt{x} = y [/tex]

[tex] x^\frac{1}{2} = y [/tex]

[tex] \log_x y = \dfrac{1}{2} [/tex]

Equations in Iwo V Solve the system by the addition method. 3x+8y=6 3x-8y=6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. There is exactly one solution. The solution set is ‹› (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions. The solution set is {(x,y)|3x + 8y = 6) or ((x,y)|3x - 8y = OC. The solution set is Ø.​

Answers

Answer:

A. there is exactly one solution. the solution set is {(2, 0)}.

Step-by-step explanation:

3x + 8y = 6

3x - 8y = 6

when we add these 2 equations, we get

6x + 0 = 12

6x = 12

x = 2

now we use one of the original equations to get y :

3×2 + 8y = 6

6 + 8y = 6

8y = 0

y = 0

Can I please get a full answer with steps? Thanks a bunch!

Answers

The region in the w-plane into which a rectangular region bounded by the lines x=0, y=0, x=1, y=2 in the z-plane is mapped under the transformation w = (1- i)z + (2 - i)  is mathematically given as

(u, v)=(2,1)

(v, v)=(3,0)

(u, u)=(3,2)

(v, u)=(2,2)

What is The region in the w-plane into which a rectangular region bounded by the lines x=0, y=0, x=1, y=2..?

Generally, the equation for is mathematically given as

[tex]&\quad(1-i) 2+(2+i) \\\\&(1-i)(x+y i)+2+i \\\\\&x-x i+y i-1 y+2+i \\\\\&(-x+y+1) i+(x+2) \\\\\[/tex]

Given - that

[tex]&x=0 \\\\&y=0 \\\\\&x=1 \\\\\&y=2 \\\\\&(0,0): v=(-0+0+1): u(0+1) \Rightarrow(u, v)=(2,1) \\\\\&(1,0): v=(-1+0+1): u(1+2) \Rightarrow(v, v)=(3,0) \\\\&(1,2): v=(-1+2+1): u(1+2) \Rightarrow C u, u)=(3,2) \\\\&(0,2): v=(-0+2+1): u(0+2) \Rightarrow(v, u)=(2,2)\\\[/tex]

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Micaela and Chelsea each improved their yards by planting rose bushes and ivy. They bought their supplies
from the same store. Micaela spent $58 on 5 rose bushes, r, and 3 pots of ivy, i. Chelsea spent $100 on 5
rose bushes and 10 pots of ivy. Write equations to represent the scenario. Then, find the cost of one rose
bush and the cost of one pot of ivy.

Answers

Answer:  A rose bush, r, cost $8; one pot of ivy, i, cost $6;

Step-by-step explanation:

[tex]\left \{ {{5r + 3i =58} \atop {5r+10i=100}} \right.[/tex]

We combine them by minus, we get:

    5r + 3i = 58

-    5r + 10i = 100

           - 7i = - 42

               i = 6

We plug in i = 6 to the first equation, we get:

     5r + 3(6) = 58

        5r + 18 = 58

                5r = 40

                  r = 8

The cost of one rose bush is $8 and the cost of one pot of ivy is $6.

How to calculate the equation

Here are the equations to represent the scenario:

Micaela: 5r + 3i = 58

Chelsea: 5r + 10i = 100

Let's solve the system of equations to find the cost of one rose bush (r) and one pot of ivy (i).

Subtracting the first equation from the second equation, we get:

7i = 42

Dividing both sides by 7 we get:

i = 6

The rose bushes will be:

5r + 3i = 58

5r + 18 = 58

5r = 58 - 18

5r = 40.

r = 8

This means that the cost of one rose bush is $8 and the cost of one pot of ivy is $6.

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Please help All of these rectangles have an area of 18 square inches. Each square represents 1 square inch.
Which rectangles do not have a perimeter of 18 inches?
Choose each correct answer.

Answers

Answer:3

Step-by-step explanation:because listen 3 is 2 for the side then 9 for the top so 9+9 equals 18 right so then 2+2 equals 4 18+4 does not equal 18

Answer This Mathematics (Hard Mode)
522 X 854 = ____​

Answers

Answer:

445788

Step-by-step explanation:

OMG too difficult man!!

Thanks to my calculator to solve this hard question

455,788
Could’ve used a calculator lol

What is the simplified base of the function f(x)=1/4([tex]\sqrt[3]{108} ^{x\\}[/tex])

Answers

The simplified function of [tex]f(x) = \frac 14(\sqrt[3]{108^x})[/tex] is [tex]f(x) = \frac {3^x}4(\sqrt[3]{4})^x[/tex]

How to simplify the base function?

The function is given as:

[tex]f(x) = \frac 14(\sqrt[3]{108^x})[/tex]

Expand 108

[tex]f(x) = \frac 14(\sqrt[3]{27 * 4})^x[/tex]

Take the cube root of 27

[tex]f(x) = \frac 14 * 3^x(\sqrt[3]{4})^x[/tex]

Evaluate the product

[tex]f(x) = \frac {3^x}4(\sqrt[3]{4})^x[/tex]

Hence, the simplified function of [tex]f(x) = \frac 14(\sqrt[3]{108^x})[/tex] is [tex]f(x) = \frac {3^x}4(\sqrt[3]{4})^x[/tex]

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126. If the marked price of an article is 40% above the cost price. By how much percent cost price is less than the marked price?​

Answers

The percent that the cost price is less than the marked price will be 40%.

How to illustrate the information?

Let the cost price be 100.

Since the marked price of an article is 40% above the cost price, the marked price is 140.

The percent that the cost price is less than the marked price will be:

= 140 - 100

= 40%

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Problem
Using the following image, find the midpoint of the line by completing the problems below.

Solution
The midpoint is ( Answer
, Answer
).

Answers

Given the initial point( x₁,y₁) and the final point( x₂,y₂ ), the midpoint of the line is ( 1, 1 ).

What is the midpoint of the line in the graph?

From the graph;

Point 1 : ( x₁ = 0, y₁ = 4 )Point 2: ( x₂ = 2, y₂ = -2 )Midpoint = ?

Using midpoint formula;

[tex]( \frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

We substitute in our values

[tex]( \frac{0+2}{2},\frac{4+(-2)}{2}) \\\\( \frac{2}{2},\frac{4-2)}{2}) \\\\( \frac{2}{2},\frac{2}{2}) \\\\( 1, 1 )[/tex]

Given the initial point( x₁,y₁) and the final point( x₂,y₂ ), the midpoint of the line is ( 1, 1 ).

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Find the exact values of the remaining trigonometric functions of satisfying the given conditions. (If an answer is undefined, enter UNDEFINED.)
cos =
24
25
,
tan < 0

Answers

The exact values of the remaining trigonometric functions are sin(x) = -7/25 and tan(x)= -7/24

How to solve the trigonometric functions?

The function is given as:

cos(x) = 24/25, tan(x) < 0

The sine function is calculated using:

sin^2(x) + cos^2(x) = 1

So, we have:

sin^2(x) + (24/25)^2 = 1

Collect like terms

sin^2(x) = -(24/25)^2 + 1

Evaluate the squares

sin^2(x) = -576/625 + 1

Take the LCM

sin^2(x) = (625-576)/625

Evaluate

sin^2(x) = 49/625

Take the square roots

sin(x) = -7/25 --- sin(x) is negative because tan(x) < 0

The tangent function is calculated using:

tan(x) = sin(x)/cos(x)

This gives

tan(x) = (-7/25) / (24/25)

Evaluate

tan(x)= -7/24

Hence, the exact values of the remaining trigonometric functions are sin(x) = -7/25 and tan(x)= -7/24

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Complete question

Find the exact values of the remaining trigonometric functions of satisfying the given conditions. (If an answer is undefined, enter UNDEFINED.)

cos(x) = 24/25, tan(x)< 0

sin(x)  =

tan(x) =


112 is the product of 7 and Raj’s score.

Answers

Answer: 16

Step-by-step explanation: 112 is equal to the product of 7 and Raj's score. Therefore, Raj's score score is 112 divided by 7 which is 16.

Answer:

Raj´s score = 16

Step-by-step explanation:

112 = 7R

R = Raj´s score

112/7 = R

R = 16

Cost of a microscope: $149.95
Markup: 30%

Answers

Answer:

194.935

Step-by-step explanation:

149.95×30%=44.985

149.95+44.985=194.935 new price

2x-y+z=8
X+2y+2z-6=0
X-2y-z=1
Solve by linear equation

Answers

Answer:

68

Step-by-step explanation:

I did it and it was right

Renee says that y = mx can be rewritten in the form y = mx + b. Is she right? Explain why or why not

Answers

Answer - yes it can
Say you have y=2x with no y intercept (b)
You can still write it as y=2x +0 or assume the y intercept (b) is zero by writing it as y=2x
Other Questions
Given: S is the midpoint of QR, QRPS and RSP and QSP are right angles.Prove: PRPQ - 10-5AB10-8-6-4--4--6--8-10D5C10Which coordinates below would form theimage of the triangle above if the centerof dilation is at point D and the scalefactor is 2?O A'(-7, 8), B'(-5, -2), C'(7, -2)O A'(-6, 6), B'(-4, -4), C'(8, -4)O A'(-11, 13), B'(-8, -2), C'(10, -2)O A'(-1, 0.5), B'(-0.5, -2), C'(2.5, -2) Read the excerpt from "Clever Gretel."She ran to the window, to see if the master was not coming with his guest, but she saw no one, and went back to the fowls and thought: "One of the wings is burning! I had better take it off and eat it." So she cut it off, ate it, and enjoyed it, and when she had done, she thought: "The other must go down, too, or else master will observe that something is missing." When the two wings were eaten, she went and looked for her master, and did not see him.It suddenly occurred to her: "Who knows? They are perhaps not coming at all, and have turned in somewhere." Then she said: "Well, Gretel, enjoy yourself, one fowl has been cut into and eat it up entirely; when it is eaten you will have some peace, why should these good gifts be spoilt?" So she ate up the one chicken in great glee. When one of the chickens was swallowed down, and still her master did not come, Gretel looked at the other and said: "What one is, the other should be likewise, the two go together; what's right for the one is right for the other." So she let the second chicken follow the first.What action does Gretel take in the excerpt?She prepares to cook chickens in a fire.She eats food that was meant for others.She sends the master to find his guest.She tricks the master and his guest.Mark this and return Write a piecewise-defined step function f(x) that has the following characteristics:f(x) has more than one x intercept.The domain of f(x) is the real numbers. The range of f(x) consists of four unique integers. evaluate if a= 28 and b= -3 a/4+b If f(x) = x^3 and g(x) = -2x^3, how has f(x) been transformed to get g(x)? y-7 = (12-x)2 in vertex form Read the sentence.I grimaced as I walked into my apartment and recognized the familiar smell of my roommates cooking.Which of the following is the connotation of the word smell in this sentence?aromastenchscentfragrance Sir Edward Elgar's later works all reflectedthe sober and profound impact broughtabout byA. his doctor's declining health.B. the devastations of World War I.C. modern inventions and conveniences. Please assist me with this question A couple quick algebra 1 questions for 50 points! Only answer if you know the answer to all of them, Tysm! If measure of AC= 50 degrees, then1) How many degrees measures the central angle O?2) How many degrees measures the inscribed angle B? Which of the following is an example of a product modification. a. Lowering the price of textbooks. b. Increasing the number of distribution outlets. c. Changing the amount of management time overseeing production. d. Dropping a product from the product line. e. Changing the color of a laundry detergent. s slogans on good habits and cleanliness It requires 334 kJ of heat to melt 1 kg of ice. The largest known iceberg had a volume of about 3.1 x 10^13 m. How much heat was requiredto melt the iceberg if 1 m of ice has a mass of 917 kg? The inverse of F(x) is a function.-5OA. TrueOB. False What is the difference between a medical savings account and a health savings account Somebody help me with this question please..Ill appreciate it ! The sum of two numbers is 8 and sum of their reciprocal is 8/15. Find the numbers. What are domain and range of these two and how step by step please?