The radius of a circle with centre O is 5 cm. The lengths of the chords AB and BC are 6 cm and 8 cm respectively. The midpoints of the chords are X and Y respectively. Find the perimeter of the quadrilateral OXBY. ​

The Radius Of A Circle With Centre O Is 5 Cm. The Lengths Of The Chords AB And BC Are 6 Cm And 8 Cm Respectively.

Answers

Answer 1

Answer:

Step-by-step explanation:

AB=6 cm

BX=1/2 AB=1/2 ×6=3 cm

BC=8 cm

BY=1/2×BC=1/2×8=4 cm

perpendicular bisector of a chord always passes through the center.

so quadrilateral OXBY is a rectangle.

Perimeter=2(BX+BY)=2(3+4)=2×7=14 cm.


Related Questions

Use the relationship represented in this Venn diagram to identify the true statement.
A. All trapezoids are rhombuses
B. All rhombuses are trapezoids
C. No trapezoids are rhombuses
D. No rhombuses are trapezoids

Answers

The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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For what value of Θ is cotΘ undefined?



180°
270°

Answers

The value of such that = k * 180, where k is an integer, is the value at which cotangent is undefinable.

Cotangent, or cot, is one of the six standard trigonometric functions. Cotangent of an angle is defined as the ratio of the adjacent side to the opposite side of a right-angled triangle.

The value of cotangent is undefined when the denominator is zero. This implies that cotangent is undefined at angles where the value of sine is zero.

Since the sine function is periodic and has a period of 360 degrees, the values of sine repeat themselves after every 360 degrees.

For this reason, cotangent is undefined at angles such that θ = k * 180, where k is an integer.

That is, cotangent is undefined at 0°, 180°, 360°, and so on. It is also important to note that cotangent is a periodic function, and its values repeat every 180 degrees.

Therefore, cotangent is undefined at 0° + k * 180°, where k is an integer.

To summarize, the value of Θ at which cotangent is undefined is such that θ = k * 180, where k is an integer.

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Veronica wants to cut a sheet of paper into squares with an area of 12 square inches. For the best approximation, the length of each side
of the square pieces of paper must be approximately equal to_____inches. If each side were exactly this length, the area of each
square would be_____
square inches.

Answers

Answer:

the first one is 48 i will have to do more solving for it but when i do i will edit my answer

Step-by-step explanation:

Answer:

second answer would be 11.9716

Step-by-step explanation:

In how many ways can we Arrange the letters of the word 'jvuyojzrxccome'

Answers

Answer:

approximately 87,178,291,200

Step-by-step explanation:

The number of ways to arrange the letters of the word 'jvuyojzrxccome' is 14! (14 factorial), since there are 14 distinct letters in the word. This is a very large number, approximately 87,178,291,200.

33/35 in simplest form

Answers

Answer:

its already in simplest form

Step-by-step explanation:

3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara​

Answers

The time Jack left Santa Clara is 1 : 55 pm

What is word problem?

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Find the slope of the line graphed below.

Find the slope of the line graphed below.

Answers

5
Explaination:
Because it is

According to the graph, what is the factorization of x - 5x + 6? y=x2.5x + 6 5 A. (x - 3)(x-2) B. (x+3)(x - 2) C. (x-3)(x + 2) O D. (x + 3)(+ 2) E PREVIOUS

According to the graph, what is the factorization of x - 5x + 6? y=x2.5x + 6 5 A. (x - 3)(x-2) B. (x+3)(x

Answers

Given:

To find the factorization of the graph,

\(x^2-5x+6\)

By factorization, we get

\(\begin{gathered} x^2-2x-3x+6 \\ x(x-2)-3(x-2) \\ (x-3)(x-2) \end{gathered}\)

Hence option a) is the correct answer.

again assuming a transformation from f(t) = –6t2, what does the term 82.14 do to the rocket's graph? what does the value h(t) = 82.14 represent in the science project? (what is happening to the rocket? ) (2 points)

Answers

Assuming a transformation from f(t) = -6t², multiplying by 82.14 would result in a vertical stretch of the graph. Specifically, it would stretch the graph vertically by a factor of 82.14, making the rocket travel much higher than before.

What is trajectory?

Trajectory refers to the path that an object takes as it moves through space. In physics, trajectory is often used to describe the path of a projectile, which is an object that is launched into the air and moves under the influence of gravity alone.

The value h(t) = 82.14 represents the maximum height reached by the rocket during its flight. This value is obtained by multiplying the maximum height reached by the rocket (which can be found by solving f(t) = 0 to get the time when the rocket reaches its highest point) by the scaling factor of 82.14. So, the rocket is traveling very high, and h(t) represents the peak height of the rocket's trajectory.

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What is 1500+7y > 4700

Answers

Answer:

Step-by-step explanation:

1500+7y > 4700 can be solved algebraically to find the value of y that satisfies the inequality.

First, we need to isolate the variable y on one side of the inequality by subtracting 1500 from both sides:

1500 + 7y - 1500 > 4700 - 1500

Simplifying the left-hand side:

7y > 3200

Finally, we isolate y by dividing both sides by 7:

y > 3200/7

Therefore, the solution to the inequality is y > 457.14 (rounded to two decimal places).

What calculation would need to be done to solve the following equation:

2x = 26

Answers

Answer:

13

Step-by-step explanation:

Answer:

Divide both sides by 2

Step-by-step explanation:

you need to isolate "x" which has a coefficient of 2 so to get rid of that you divide by two

2x=26

x-13

Helppppp pleaseeeeee

Helppppp pleaseeeeee
Helppppp pleaseeeeee

Answers

Answer:Godo luck!

Step-by-step explanation:

89.517 +59.84 by first rounding each number to the nearest whole number.

Answers

Answer:

150

Step-by-step explanation:

89.517=90. 59.84=60 90+60=150

Answer:

150

Step-by-step explanation:

89.517 rounds up to 90

59.84 rounds up to 60

60 + 90 = 150

hope this helps!

In 2016, 6.76% (1,026) of Cincinnati college and university graduates majored in Registered Nursing. That combined statement provides both the percentage (6.76%) and the number (1,026) of Cincinnati college and university students who majored in Registered Nursing in 2016. Based on that statement, how many students graduated from Cincinnati universities and colleges altogether in 2016? Round to the nearest whole number.

Answers

The total number of students who graduated from the Cincinnati universities and colleges are 15382.

We are given that 6.76 % of Cincinnati college and university graduates majored in Registered Nursing.

The number of the Cincinnati college and university graduates who majored in Registered Nursing = 1026.

We need to find the total number of students that graduated from the Cincinnati universities and colleges altogether in 2016.

Let the total number of students be x.

ATQ:

6.67 % x = 1026

6.67 x = 102600

667 x = 10260000

x = 10260000 / 667

x = 15382.309

Rounding off to the nearest whole number is:

x = 15382.

Therefore, we get that the total number of students who graduated from the Cincinnati universities and colleges are 15382.

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Extrema interpreting functions

Answers

Answer:

In mathematics, the extrema of a function refer to the maximum and minimum values that the function can take on. These values can be local extrema, which occur within a certain range of the function, or global extrema, which are the maximum and minimum values over the entire domain of the function.

To find the extrema of a function, one can use a variety of techniques, such as taking the derivative of the function and setting it equal to zero to find the points of stationary values, or using the second derivative test to determine whether a stationary point is a local maximum or minimum.

Interpreting the extrema of a function can provide valuable information about the behavior of the function. For example, the global maximum of a function might represent the highest possible value that the function can attain, while the global minimum might represent the lowest possible value. Local extrema can also be important, as they can indicate changes in the slope or concavity of the function, which can have important implications for applications such as optimization or modeling real-world phenomena.

The opposite of 1.5 is ? So the opposite 1.5 ? Which is equal to the opposite of ? Which is ? The second statement is ?

Answers

I think the opposite of 1.5 is -1.5

The concept of best-, worst-, and average-case analyses extends beyond algorithms to other counting problems in mathematics. Recall that the height of a binary tree is the number of edges in the longest path from the root to a leaf. Find the best-case height of a binary tree with seven nodes.

Answers

the height of a binary tree is the number of edges in the longest path from the root to a leaf.The best-case height of a binary tree with seven nodes is 3.

A binary tree is a type of tree structure consisting of nodes that are connected by edges. The number of edges in the longest path from a binary tree's root to a leaf determines the tree's height.In the best-case scenario, the binary tree is perfectly balanced and each node has exactly two children. With seven nodes, the best-case height is three because each node has two children and three edges connect the root node to the leaves. This means that the longest path from the root to a leaf is three edges, resulting in a height of three.

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You see a woman standing in front of school, now and then stopping students to ask them questions. She says she is collecting student opinions for the newspaper. This is an example of: A. A convenience sample B. A self-selected sample C. A systematic sample D. A random sample​

You see a woman standing in front of school, now and then stopping students to ask them questions. She

Answers

Answer:

D. A random sample​

Step-by-step explanation:

The answer to your question is A. A convenience sample​ because this sampling type is people being chosen from the population of her school. We can also rule out the other options because of the following reasoning:

[✓] A. A convenience sample

-> This is the correct option. She is asking students at her school that are nearby.

[✗] B. A self-selected sample

-> This type is more like a poll, people volunteer for a self-selected sample, while here they are being asked

[✗] C. A systematic sample

-> Every so often she is asking students questions, she does not have a set number of how often or of the population (that we know of)

[✗] D. A random sample​

-> This option could be correct, but since the students being chosen are nearby we can decide the best option is option a.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The product of Greg's savings and 3 is 57.

Answers

Answer:

Greg's savings: 19 x 1

Step-by-step explanation:

57 / 3 = 19

19 is prime, so Greg's savings has to be 19 x 1.

Which expression is equivalent to 4^7/8
4^1/4?

Which expression is equivalent to 4^7/8 4^1/4?

Answers

the answer is option A

Brian set his compass equal to the radius of circle C and drew two circles centered at points A and B on circle C. He labeled the points of intersection of the two circles as shown.

Two circles are drawn by having another circle in the center. The center circle has points A, M, N, B, P, Q, and C. At C the two circles intersect, and at P the center circle and the top circle intersect.

To complete his construction, Brian only needs to use his straightedge to draw some chords of circle C.

Which figures could Brian be constructing?

equilateral triangle MNQ inscribed in circle C
equilateral triangle ANP inscribed in circle C
regular hexagon AMNBPQ inscribed in circle C
square MNPQ inscribed in circle C
square ANBQ inscribed in circle C

Answers

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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Complete the square to re-write the quadratic function in vertex form:
y=x^2+9x+7

Answers

The Vertex form of y= (x+9/2)² - 89/4 hence, vertex=(-9/2 , -89/4),

Given,y=x²+9x-2

Take out the leading coefficient.

y=(x²+9×x)-2

Complete the square.

y = (x² +(2×9/2) × x × (9/2)²) + (-2-(9/2)²)

Express the function in vertex form.

y=(x+9/2)² - 89/4

Hence the vertex form is y=(x+9/2)² - 89/4

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The price of a Graphing calculator is $80 the sales tax is 7%. What is the cost of the calculator

Answers

Answer:

$85.60

Step-by-step explanation:

In this question, we need to find the price of the calculator after tax.

We know the cost of the calculator is $80 and the sales tax is 7%

To find your answer, we would multiply 80 by 1.07:

80 · 1.07 = 85.60

The total cost of the calculator is $85.60

An angle measures 118 more than the measure of its supplementary angle.What is the measure of each angle

Answers

Answer:

31° and 149°

Step-by-step explanation:

Supplementary angles are two angles that add up to 180°. In this case, as one angles measures 118° more than the other, 149°-31°=118°, and 149°+31°=180°. So, the angles measure 31° and 149°. Hope it helps!

Show that the set of nonsingluar 2 by 2 matrices is not a vector space. Show also that the set of singular 2 by 2 matrices is not a vector space.

Answers

Answer:

a) 2 nonsingular 2 by 2  matrices are not closed when added together hence it is not a vector space( i.e. their sum = singular and not nonsingular )

b) 2 singular 2 by 2 matrices is not  closed under addition, hence they are not a vector space. ( i.e. their sum = nonsingular )

Step-by-step explanation:

a) Prove that nonsingular 2 by 2 matrices is not a vector space

2 nonsingular matrices are not closed when added together hence it is not a vector space ( i.e. their sum = singular and not nonsingular )

vector A = \(\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right]\)    +  vector B =  \(\left[\begin{array}{ccc}0&1\\1&0\\\end{array}\right]\) = \(\left[\begin{array}{ccc}1&1\\1&1\\\end{array}\right]\) ( singular vector )

b) Prove that singular 2 by 2 matrices is not a vector space

2 singular 2 by 2 matrices is not  closed under addition, hence they are not a vector space. ( i.e. their sum = nonsingular )

Vector C = \(\left[\begin{array}{ccc}1&0\\0&0\\\end{array}\right]\)  + vector D = \(\left[\begin{array}{ccc}0&0\\0&1\\\end{array}\right]\) = \(\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right]\) ( nonsingular vector )

The graph of a function must be linear if it has what characteristic?

Answers

The graph of a function must be linear if it has ''a constant slope.''

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The graph of a function must be linear.

Now,

We know that;

A linear function graphs as a straight line if It will have a constant rate of change.

Thus, The graph of a function must be linear if it has ''a constant slope.''

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PLEASE HELP! click on the picture link down below for the question

PLEASE HELP! click on the picture link down below for the question

Answers

Answer:

b being more than one tells u its not negitive

b being less than one tells u its negitive

a being negitive means... its negitive lol

that tells u its more than 0

i think that means its 1/2

means its positive

means its negitive

means its positive

means its negitive

If 0 is a positive acute angle and 2 cos 0+3 = 4,
find the number of degrees in 0.

Answers

Answer: 1 0 is like x you solve for x. X= 1 0=1

-3/5t=15. What does t equal?

Answers

Answer:

T = 9

Step-by-step explanation:

A temperature of 35 degrees Fahrenheit is as cold as a temperature of -35 degrees Fahrenheit.

Answers

Answer:yes

Step-by-step explanation:

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