In a circle, a chord of 50 cm bisects a chord of 40 cm. Find the length of the longer segment of the 50 cm chord.

Answers

Answer 1

Answer:

The length of the longer segment of the 50 cm chord = 40

Step-by-step explanation:

let the length of the longer segment of the 50 cm chord = x

so, the other segment = 50 - x

A chord of 50 cm bisects a chord of 40 cm

using the Intersecting Chords Theorem

so, x(50-x) = 20 * 20

50x - x² = 400

x² - 50x + 400 = 0

(x - 40)(x - 10) = 0

x = 40 or x = 10

So, the the length of the longer segment of the 50 cm chord = 40

Answer 2

Answer:

23cm

Step-by-step explanation:

In the circle below, AB, CD, and EF are the chords of the circle. Chord CD is the diameter of the circle.

= 2√ (142−82)

= 2√ (196 − 64)

= 2√ (132)

= 2 x 11.5

= 23


Related Questions

HELP HElp help HELp HElp please fast give 10 points

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

its quizzizz you need fast

Use the formula y=Mx + B
The m = slope always so find the slope in the graph then match the answer

What is the product of 3x(x2 + 4)?
O x² + 3x +4
O 3x3 + 4
O 3x3 + 12x
3x² + 12x

Answers

Answer:

3x³ + 12x

Step-by-step explanation:

Given

3x(x² + 4) ← multiply each term in the parenthesis by 3x

= 3x³ + 12x

Answer:

3x^3 +12x

Step-by-step explanation:

3x^3 +12x

In ΔFGH, the measure of ∠H=90°, GF = 41, HG = 40, and FH = 9. What ratio represents the cosine of ∠F?

Answers

Answer:

9/41

Step-by-step explanation:

Cosine = adjacent/hypotenuse

The value of the ratio which represents the cosine of ∠G is, cos G = 40/41

We have to give that;

In ΔFGH, the measure of ∠H=90°, HG = 56, FH = 33, and GF = 65.

Now, By the formula;

⇒ cos θ = Base / Hypotenuse

Hence, We get;

⇒ cos G = GH / GF

⇒ cos G = 40/41

Therefore, the value of ratio which represents the cosine of ∠G is,

⇒ cos G = 40/41

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M is the centroid of the triangle.

CM=7, PM=10, & BQ=18

BM=[? ]

Answers

Answer:

The length of the BM is 6 unit.

Step-by-step explanation:

Given : M is the centroid of the triangle.  CM=7, PM=10, & BQ=18

To find : The value of BM ?

Solution :

Refer the attached figure below.

The centroid of a triangle is the point of intersection of its medians.

M is the centroid and the centroid divide the line in 1:2 ratio.

So, M divide BQ in 1:2 ratio and the total length of BQ is 18.

BM is one third of 18.

i.e. [tex]BM=\frac{18}{3}[/tex]

[tex]BM=6[/tex]

Therefore, the length of the BM is 6 unit.

Answer: BM=6

Step-by-step explanation:

Which type of transformation would move figure 1 onto
figure 2?
translation
reflection,
rotation
dilation

Answers

Answer:

reflection

Step-by-step explanation:

skraight up homie.

The type of transformation would move figure 1 onto figure 2 is Dilation.

What is Transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

As, from the figures

Figures 1 and 2 can be properly observed to reveal that they have similar shapes to one another.

Accordingly, figure 1 is a bigger version of figure 2, and vice versa.

As a result, dilation and specifically enlargement is the transformation employed to convert figure 2 to figure 1.

Hence, the transformation is Dilation.

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Divide.

4.8 ÷ 10,000

Enter your answer as a decimal in the box.

Answers

The solution to 4.8 divided by 10,000 is 0.00048.

In Mathematics and Euclidean Geometry, an expression refers to a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).

Based on the information provided above, we have the following mathematical expression;

4.8 ÷ 10,000

By rewriting in scientific notation form, we have:

[tex]4.8 \div 10^4[/tex]

By evaluating based on the exponent of 4, we have;

[tex]4.8 \times \frac{1}{10^4} \\\\4.8 \times 10^{-4}[/tex]

By rewriting as a decimal, we have:

0.00048.


How many solutions does the system have?
5x — y = 2
5x—y = -2

Answers

Answer: no solution

Step-by-step explanation:

If x = 10, what is the value of 5(x - 3)?

A. 7
B. 47
C. 35
D. 65

Answers

Look at the attached picture

Hope it will help u..

x=10
5(x - 3)
5(10-3)
5(7)
35

In triangle ABC, a = 4, b = 6, and cos C = − 1/4. What is the length of side c?
(1)8
(2)2√7
(3)2√10
(4)4

Answers

The length of side c would be 8.

Step-by-step explanation:

Given that,

a = 4

b = 6

cosC = -1/4

If we are given two sides and angle, the law of Cosines can be used to find the third side:

[tex]c^{2} = a^{2} + b^{2} - 2ab (cos(c))[/tex]

By inserting the values in the formula, we get

[tex]c^{2} = 4^{2} + 6^{2} - 2.4.6 (-\frac{1}{4} )[/tex]

[tex]c^{2} = 16 + 36 + 12[/tex]

[tex]c^{2} = 64[/tex]

[tex]\sqrt{c^{2} } = \sqrt{64}[/tex]

c = 8.

Therefore, the length of side c would be 8.

The length of side [tex]\( c \)[/tex] is 8. The option (1) is correct.

To find the length of side [tex]\( c \)[/tex] in triangle ABC given [tex]\( a = 4 \), \( b = 6 \)[/tex], and [tex]\( \cos C = -\frac{1}{4} \),[/tex] we use the cosine rule:

[tex]\[ c^2 = a^2 + b^2 - 2ab \cos C \][/tex]

Substitute the given values:

[tex]\[ c^2 = 4^2 + 6^2 - 2 \cdot 4 \cdot 6 \cdot \left(-\frac{1}{4}\right) \][/tex]

[tex]\[ c^2 = 16 + 36 + 12 \][/tex]

[tex]\[ c^2 = 64 \][/tex]

Now, take the square root of both sides to find [tex]\( c \):[/tex]

[tex]\[ c = \sqrt{64} \][/tex]

[tex]\[ c = 8 \][/tex]

Therefore, the length of side [tex]\( c \)[/tex] is 8.

Find the value of the expression.
X – (4 – y)
for x = 3 and y = 3

Answers

Answer:

2

Step-by-step explanation:

3-(4-3)=2

A tip is to use PhotoMath it’s an advanced mathematical calculator

A cereal company is putting 1 of 3 prizes in each box of cereal. The prizes are evenly distributed so the


probability of winning any given prize is always 1/3


Mohamed wonders how many boxes he should expect to buy to get all 3 prizes. He carried out 24 trials of


a simulation and his results are shown below. Each dot represents how many boxes it took to get all 3


prizes in that trial.


3


4 5


6


7 8


9 10 11 12


# of boxes purchased


Use his results to estimate the probability that it takes more than 3 boxes to get all 3 prizes


Give your answer as either a fraction or a decimal


P(more than 3 boxes) C

Answers

Answer:

0.625

Explanation:

The image below was not posted for the but is needed to anser the question.

Further Explanation:

Mohamed carried out 24 trials of a simulation

Therefore, Total frequencies = 24

To get number of frequency greater than 3 we have to use the result in the result in the graph to obtain the estimate. Look at the graph below, when you count the dots that are on number of boxes purchased greater than 3, you will get 15.

Therefore, Number of frequency greater than 3 = 15

P(more than 3 boxes) = 15/24 = 0.625

Solve for j . −1/3=/j4−10/3​

Answers

Answer:

j = 12

Step-by-step explanation:

Solve for j by simplifying both sides of the equation, then isolating the variable.

e price of an item yesterday was 130. Today, the price rose to 221. Find the percentage increase

Answers

Answer:

70

Step-by-step explanation:

The explanation is in the picture

please rate and mark as brainliest

When graphed, the three lines y = -x + 2, y = 2x − 1, and y = x − 2 intersect in such a way that they form a triangle.
What are the coordinates of the three vertices of this triangle?


A.
(2, 0), (0, 2), and (-1, -3)
B.
(0, 2), (2, 0), and (1, -1)
C.
(1, 1), (2, 0), and (-1, -3)
D.
(1, 1), (0, 2), and (-1, -3)
E.
(2, 0), (1, -1), and (-1, -3)

Answers

The answer is C

Insert y=X-2 into the equation y=-X+2

You will get the point (2,0)

Insert y=2X-1 into the same equation

you will get the point (1,1).

Without solving for the last point

you will realize that your answer is C

Note: This approach is appropriate for solving objective questions

Select the equivalent expression

Answers

answer: c
hope this helps!

Consider U = {x\x is a positive integer greater than 1}.
Which is an empty set?
{xx € U and 2x is prime}
{xlx EU and 2x is prime}
{XX € U and 1/2x can be written as a fraction}
{x|x € U and 2x can be written as a fraction}

Answers

{xx €U and 2x is prime }

Considering U = {x l x is a positive integer greater than 1} the empty set will be,

⇒ { X ∈ U and 2x is prime}

What are prime numbers?

Prime numbers refers to a whole number more than 1 whose only factors are 1 and itself.

Now, A whole number that may be split evenly into another number by multiplication is referred to as a factor.

2, 3, 5, 7, 11, 13, 17, 19, 23 and 29 are the first few prime numbers.

Here, The number 2 is the only prime even number and hence no other prime number will be fall as an even number or a product from multiplication by 2.

Hence, Considering U = {x l x is a positive integer greater than 1} the empty set will be,

⇒ { X ∈ U and 2x is prime}

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A large box contains buttons with pictures of animals.

There are four different animals. A button is drawn and replaced. In 100 trials, 35 buttons with cats were drawn.

What is the probability that the next button will be a different animal?


A.
The experimental probability is 35%.

B.
The experimental probability is 65%.

C.
The theoretical probability is 35%.

D.
The theoretical probability is 65%.

Answers

Answer: its B

Step-by-step explanation:

You have to subtract 100 and 35. You get 65. Its also a experimental probability.

Which is the best estimate of the sum of the fractions 5/12+5/9

Answers

Answer:

0.926

Step-by-step explanation:

5/12 as a decimal is 0.416 and

5/9 as a decimal is 0.5 repeating

You just have to turn the fraction into a decimal and

add those together.

So your final equation would be 0.416+0.5

Answer:

35/36

Step-by-step explanation:

The least common denominator for both 12 and 9 is 36.

5        3 = 15

—  X         —

12        3 = 36

5      4 = 20

–   X

9     4 = 36

15+20 = 35

so, 35/36

Hope this help, have a great day, and Stay Safe.

:)

4c = 3 C =
please help me I am late for hw and ned this question done asap

Answers

Answer:

4c=4 c=3/4

Step-by-step explanation:

An employee has a starting salary of $20,000 and can choose from two salary options:
Option 1: A salary increase by 5% each year.
Option 2: A guaranteed increase of $1,000 each year.
i. Which option is initially more beneficial?
ii. Which option is more beneficial after 10 years of employment?
iii. Explain your reasoning

Answers

Final answer:

Initially, both salary options provide the same increase, but after two years Option 1 becomes more beneficial due to compounding. After 10 years, the 5% annual increase of Option 1 provides a higher salary than the flat rate increase of Option 2.

Explanation:

The salary options present themselves differently over time. Initially, Option 2, the guaranteed increase of $1,000 each year, is more beneficial. In the first year, a 5% increase on a $20,000 salary (Option 1) is only $1,000 - the same as Option 2. However, in the second year, the 5% increase is applied to the new salary of $21,000 (in Option 1), which gives an increase of $1,050 - thus, it surpasses Option 2.

After 10 years, Option 1 will be more beneficial. The reason lies in the principles of compounding; each year, the 5% increase is applied to the increased salary. Thus, in 10 years' time, the amount gained annually in Option 1 significantly surpasses the static $1,000 per year increase of Option 2.

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True or false: opposite angles of a square are supplementary angles

Answers

Answer:

True

Step-by-step explanation:

Supplementary angles are those that sum up to 180 degrees. A square is a polygon with all its angles measuring 90 degrees. This means that opposite angles are both 90 degrees. And, since 90 + 90 = 180, that means that a square's opposite angles are supplementary.

Hope this helps!

Answer:

True

Step-by-step explanation:

Supplementary angles add up to 180

All angles in a square are 90.

Opposite angles add up to 180°

From a standard deck of 52 cards, what is the probability of picking a 6 at random from the deck?

Answers

Answer:

Only 4 out of 52 cards are 6.

4/52 = 1/13

Probability is 4/13

Answer:

4/52 or 1/13

Step-by-step explanation:

There are 4 of each card in a deck except for Jokers. Therefore, the answer is 4/52 or 1/13

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Three students take equivalent stress tests. Which is the highest relative score (meaning which
has the largest z score value)?
a. A score of 144 on a test with a mean of 128 and a standard deviation of 34
b. A score of 90 on a test with a mean of 86 and a standard deviation of 18
c. A score of 18 on a test with a mean of 15 and a standard deviation of 5​

Answers

B is the correct answer with the explanation of a score of 90 on a test with a mean of 86 and a standard deviation of 18.

The highest relative score is of the student with a score of 18 on a test with a mean of 15 and a standard deviation of 5​

What is z-score?

Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values.

Given that, three students take equivalent stress tests, we need to calculate the highest relative score among them,

Z-score = X-μ / σ,

X = observed value, μ = mean and σ = standard deviation

a) A score of 144 on a test with a mean of 128 and a standard deviation of 34 :-

Z-score = X-μ / σ

Z-score = 144-128 / 34 = 0.47

b) A score of 90 on a test with a mean of 86 and a standard deviation of 18 :-

Z-score = X-μ / σ

Z-score = 90-86 / 18 = 0.22

c) A score of 18 on a test with a mean of 15 and a standard deviation of 5​ :-

Z-score = X-μ / σ

Z-score = 18-15 / 5 = 0.6

Hence, the highest relative score is of the student with a score of 18 on a test with a mean of 15 and a standard deviation of 5​

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Solve the system of equations algebraically.

*If necessary, write your answers as fractions in simplest form.

y = x + 2
y = -3x

Answers

Answer:

Step-by-step explanation:

y = x + 2  -------------(i)

y = -3x ----------------(ii)

substitute y = -3x i equation (i)

-3x = x + 2

-3x -x = 2

-4x = 2

x = 2/-4

x = -1/2

Substitute x = -1/2 in (ii)

y = -3 * -1/2

y = 3/2

What is the exact solution to the system of equation shown on the graph?​

Answers

I think the correct answer is D

The exact solution of the equation graphed is i option D

(-1 1/5, 4 5/6)

How to find the solution

The solution of linear equations grapes is the point of intersection of the two straight lines

This point is traced as follows

x coordinate is closer to -1 than it is to 2.  Not up to -1 1/2y - coordinate is closer to 5. more than 4.5

Comparing with the given options, we have (-1 1/5, 4 5/6) as the best choice



Please match the answer to the question.
Question 3 options:

-5

-8

+4

+5

+8

1.

profit of $5
2.

depth of 8ft
3.

increase of 8 degrees F
4.

loss of $5
5.

height of 4ft

Answers

1. Loss of 5
2. Depth of 8ft
3. Height of 3
4. Profit of 5
5. Increase 8 degrees F

Answer:

see below

Step-by-step explanation:

1.  profit of 5 means a gain of 5   +5

2 depth of 8ft means down 8     -8

3 increase of 8 degrees means a gain of 8  +8

4 loss of 5 dollars means  negative    -5

5 height of 4 ft means we go up   +4

Explain how to add fractions with the same denominator. Use
3/8 + 2/8 as an example. Use the words numerator and
denominator in your response.

Answers

Step-by-step explanation:

To add fractions with the same demonator for example 3/8 + 2/8 you would add 3 +2 = 5 The numerator would be 5 and the demonator would stay the same. You would get an answer of 5/8

Answer:

Step-by-step explanation:

[tex]\frac{3}{8}+\frac{2}{8}=\frac{3+2}{8}\\\\=\frac{5}{8}[/tex]

If two fractions have same denominator, add the numerator and write the common denominator.

There are a total of 15 dimes and quarters in a covered cup. The value of all 15 coins totals 2.85

Answers

Answer:

There are 6 dimes and 9 quarters.

Step-by-step explanation:

Represent the number of dimes and the number of quarters by d and q.

Then d + q = 15, or q = 15 - d.

Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.

Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or

75 - 5d + 2d = 57, or

75 - 3d = 57, or

3d = 18.  Thus, there are 6 dimes.  Since q = 15 - d, q = 15 - 6 = 9.

There are 6 dimes and 9 quarters.

The number of dimes and quarters totaling $2.85 are 6 dimes and 9 quarters.

To solve this, we can set up two equations based on the number of coins and their total value.

Let's denote the number of dimes as d and the number of quarters as q. The value of a dime is $0.10, and the value of a quarter is $0.25. We know there are 15 coins in total, which gives us the first equation:

d + q = 15

The second equation is based on the total value of the coins:

0.10d + 0.25q = 2.85

To solve the system of equations, we can use substitution or elimination. Multiplying the second equation by 10 gives us:

d + 2.5q = 28.5

Subtracting the first equation from this results in:

1.5q = 13.5

Dividing by 1.5 gives us the number of quarters:

q = 9

Substituting q = 9 into the first equation gives us the number of dimes:

d + 9 = 15

d = 6

Therefore, there are 6 dimes and 9 quarters in the cup.

What is the graph to the piecewise defined function g(x) = { x+4, -5<=x<=-1

2-x, -1<=x<=5?

Answers

Answer:

third graph, see attached in case the order changes

Step-by-step explanation:

g(x) = { x+4, -5<=x<=-1

            2-x, -1<=x<=5

The graph will change at -1, so we can eliminate the first graph

It changes completely so we can eliminate the second graph

From -5 to -1 the slope is positive 1 so it will increase from left to right

The last graph decreases, so it has a negative slope at -5.  We can eliminate the last graph

That leaves us the third graph

g(x) = x+4, -5《x《-1

At x = -5, g(x) = -1

At x = -1, g(x) = 3

g(x) = 2-x, -1《x《5

At x = -1, g(x) = 3

At x = 5, g(x) = -3

what is 527.79 rounded to the nearest thousandth?

I looked it up and it said it was just 527.79, but when i put my answer in it said it was wrong so im really confused.

Answers

527.79

there is no because just round and try this I think it might work i dont know

I think the answer is 527.79
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