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The perpendicular bisector of a chord in a circle contains the center of the circle.

To prove that the perpendicular bisector of a chord in a circle contains the center of the circle, we can use the fact that the perpendicular bisector of a chord passes through the center of a circle.

Let ABC be a chord in a circle with center O. We want to show that the perpendicular bisector of AB passes through O.

Since AB is a chord, it intersects the center O. Let P be the midpoint of AB. The line segment OP is a radius of the circle, and the line segment AB is perpendicular to OP at P. Therefore, the perpendicular bisector of AB passes through O, the center of the circle.

Answer:

None of the options are correct

Step-by-step explanation:

Given

[tex]f(q) = q^2 - 125[/tex]

Required

The roots of the function

Since the function is a quadratic function; to get the roots of the function, f(q) must be equal to 0

[tex]f(q) = q^2 - 125[/tex] becomes

[tex]0 = q^2 - 125[/tex]

Make [tex]q^2[/tex] the subject of formula

[tex]125= q^2[/tex]

Rearrange

[tex]q^2 = 125[/tex]

Take square roots of both sides

[tex]\sqrt{q^2} = \sqrt{125}[/tex]

[tex]q = \sqrt{125}[/tex]

Expand the square root of 125

[tex]q = \sqrt{25 * 5}[/tex]

[tex]q = \sqrt{25} * \sqrt{5}[/tex]

q = ±5 [tex]* \sqrt{5}[/tex]

Split into 2

[tex]q = 5 * \sqrt{5}[/tex] or [tex]q = -5 * \sqrt{5}[/tex]

[tex]q = 5 \sqrt{5}[/tex] or [tex]q = -5 \sqrt{5}[/tex]

Hence, the roots of the quadratic function are [tex]q = 5 \sqrt{5}[/tex] or [tex]q = -5 \sqrt{5}[/tex]

Answer:

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

3z when z = 1.2

3(1.2)= 3 x 1.2

= 3.6

Answer:

3.6

Step-by-step explanation:

You plug in 1.2 to x

3(1.2)

do 12x3=36

Then add the decimal point

3.6

Answer:

"Create a circle whose center is one of the endpoints of the segment. The length of the radius of the circle is one of the other given lengths." is not necessary to create a triangle

Step-by-step explanation:

Should be around 150 as 3/6 of the numbers on a die are even so thats 1/2 and 300x(1/5) or just 300x0.5 or just 300/2 equals to 150

Theoretically, it would be 150 times that it rolls even. For half of the dice's sides being even and an equal chance of it landing on any of them.

Experimentally, it could be anything between 0-300, although after so many trails in it, it would be extremely likely that it would be near 150.

If it was only 10 trials of instance it would likely have a greater margin of difference compared to the theoretical probability.

Answer: 64.08

Step-by-step explanation:

Since the 8 is in the hundredth place and there's no thousandths place the number doesn't change leaving u with 64.08

Final answer:

The correct point that lies on the circle defined by the equation (x − 5)² + (y + 3)² = 25 is point C (2, 1), as substituting these values into the equation results in 25, which matches the right side of the equation. Thus, option C is correct.

Explanation:

To find which point is on the circle given by the equation (x − 5)² + (y + 3)² = 25, you can plug the x and y values from each option into the equation and see if it holds.

For point A (5, − 3), the equation becomes (5 − 5)² + (− 3 + 3)², which simplifies to 0 + 0 = 0. This is not equal to 25, so point A is not on the circle.

For point B (8, − 6), the equation becomes (8 − 5)² + (− 6 + 3)², which simplifies to 9 + 9 = 18. This is not equal to 25, so point B is not on the circle.

For point C (2, 1), the equation becomes (2 − 5)² + (1 + 3)², which simplifies to 9 + 16 = 25. This is equal to 25, so point C is on the circle.

For point D (4, − 8), the equation becomes (4 − 5)² + (− 8 + 3)², which simplifies to 1 + 25 = 26. This is not equal to 25, so point D is not on the circle.

The correct answer is point C (2, 1), as it satisfies the equation of the circle.

Answer:$569.8

Step-by-step explanation:

To find the amount received for$550 deposited for 2yrs at 1.8% per annum

I=prt/100

I=550×1.8×2/100

I=$19.8

To find the whole money deposited after 2yrs

A=I+p

A=$19.8+550

A=$569.8

Answer:

4

Step-by-step explanation:

3x+15=27

3x=12

x=4

that is the steps

Answer:

4

Step-by-step explanation:

3x + 15= 27

-15. -15

3x = 12

÷3

x= 4

Final answer:

To find the width (w) of the rectangle, set up an equation using the given information and the formula for the perimeter of a rectangle. Solve the equation to find the width.

Explanation:

To find the width (w) of the rectangle, we can set up an equation based on the given information and the formula for the perimeter of a rectangle. Let's start by assigning variables: let w be the width of the rectangle and let l be the length of the rectangle. According to the problem, the length of the rectangle is 4 feet less than 3 times its width. So we have the equation l = 3w - 4. The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter. Since the perimeter is given as 54 feet, we have the equation 54 = 2(l + w). We can substitute the expression for l from the first equation into the second equation: 54 = 2((3w - 4) + w). Simplifying this equation will allow us to solve for the width (w) of the rectangle.

Answer:

  k pi for k = 0, plus-or-minus 2, plus-or-minus 4, ellipsis

Step-by-step explanation:

The cosine is a maximum when its argument is at multiples of 2π.

  k pi for k = 0, plus-or-minus 2, plus-or-minus 4, ellipsis

_____

Both of us could probably read this more easily if you would use appropriate math symbols.

Answer:

B

Step-by-step explanation:

Answer:

A.] The parent function has been translated up.

B.] The parent function has been translated to the left.

D.] The parent function has been stretched.

Note:

This may be late, but hopefully this answers those who still seek this question <3

The parent function has been translated up. The parent function has been translated to the left. The parent function has been stretched. Then the correct options are A, B, and, D.

A parent function in mathematics is the simplest function in a family of functions that keeps the definition of the entire family.

The function f(x) - 3|x+2|+4 is graphed. The parent function has been translated up. The parent function has been translated to the left. The parent function has been stretched.

Hence, the correct options are A, B, and, D.

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Answer:

5000 + 400 + 80 + 2

Answer:

64

Step-by-step explanation:

take 2x12=24+8=32x2=64

Answer:

64 is the answer.

Step-by-step explanation:

To solve this problem, you need to follow the rules of PEMDAS.

That means what is the the parentheses is solved first, then exponents, then you solve the multiplication and division, and then you solve the addition and subtraction.

2*12 is the most specific parentheses, therefore it is solved first.

2*12 equals 24.

The problem is now

[8+24] *2

Then you add 8 and 24, which is also in the parentheses.

8 + 24= 32

The problem is now :

32*2

Then you solve the multiplication.

32*2= 64

Therefore the answer is 64.

Answer:

127.4

Step-by-step explanation:

a^2+b^2-2(ab)CosC

The side f will be 127.41 cm long.

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.

Given is triangle DEF, we need to find the length of the side f, if d = 92 cm, e = 42 cm and ∠F = 141°.

So, using the cosine law,

[tex]c^2=a^2+b^2-2ab\cdot \cos \left(\gamma \right)[/tex]

Therefore,

[tex]f=\sqrt{d^2+e^2-2de\cos 141_{\degrees}[/tex]

[tex]f=\sqrt{42^2+92^2-2\cdot \:42\cdot \:92\cos \left(141^{\circ \:}\right)}[/tex]

f = 127.41

Hence the side f will be 127.41 cm long.

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Answer:

its 1234

Step-by-step explanation:

Answer:

answer is 1230

Step-by-step explanation:

0.000000123 since 10 is positive you go right 10 times i hope this is right

The amount of the IRS fee you will have to pay is A. $750.00.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Percentage is usually denoted by the symbol '%'.

Given that,

Amount you invested at the age of 40 = $20,000

You will receive payments at the age of 50.

Amount withdrawn at the age of 47 = $7500

IRS charges 10% if you withdraw before you are 59.5.

Since your age is 47, you have to pay 10% IRS fees.

IRS fees = 10% of 7500

              = 10/100 × 7500

              = $750

Hence the IRS fee you will have to pay is A. $750.00.

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Answer:

Answer is option b) 7.2×10^7

Step-by-step explanation:

[tex]we \: know \: that \: \\ {a}^{m} \times {a}^{n} = {a}^{m + n} \\ {10}^{5} \times {10}^{2} = {10}^{5 + 2} \\ = {10}^{7} \\ 4.5 \times 1.6 = 7.20 \\ = 7.2 \\ hence \: the \: answer \: is \: 7.2 \times {10}^{7} [/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

The product of 4.5 ⋅ 105 and 1.6 ⋅ 102 is 7.2 ⋅ 107. This is achieved by first multiplying the coefficients (4.5 and 1.6), and then adding the powers of 10 (105 + 102).

First, to multiply these numbers in scientific notation, we begin by multiplying the coefficients and then add up the powers of 10.

So, 4.5 ⋅ 1.6 = 7.2 and then 105 + 102 = 107. Therefore, the product of 4.5 ⋅ 105 and 1.6 ⋅ 102 is 7.2 ⋅ 107. This means it is the second option listed in your potential multiple choice answers above.

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Answer:

Option C

Step-by-step explanation:

If angle w is 112, angle x has to also be 112

so 112+112=224

all of the angles summed up has to 360, so you subtract 360-224

which equals 136

then divide by 2 and you get 68

Hopefully this makes sense

Answer:

The answer is C: 68

Step-by-step explanation:

The trapezoid has a total amount of 360 degrees.

W = 112 degrees.

W and X are congruent so X also equals 112

SO if you add them together, it is equal to 224.

Subtract from 360 and 136 is left.

Divide by 2 because there is Z and Y(2 angles left) which are also congruent.

This gives the angles measurements of 68 for both Z and Y

Answer:

easy so first 190-15=175  175 lbs. is the light heavyweight class weight limit

Step-by-step explanation:

r=1 because its in the middle

Answer: The radius of the circle would be 4 because if you count from the center going either up, down, left, or right you would count 4. The radius of the circle will remain the same no matter which way you go

Step-by-step explanation:

Answer:

[tex]21\frac{1}{8}[/tex] Cups

Step-by-step explanation:

[tex]6.5(3\frac{1}{4} ) = 21\frac{1}{8}[/tex]

Answer:

yes, if this is not how you do it i am sorry i tried :(

Step-by-step explanation: Because 8 squared is 64, 15 squared is 225 and 17 squared is 289, 64+225=289 so it will form a right triangle and 289 squared is 17.  

The correct statement in the box plot is that the ranges of the box plot is the same but the interquartile range are different

How to find the range

The range in a box plot is the difference between the maximum and minimum values

Solving for the range

Marc's class: 10 - 1 = 9

Sue's class: 12 - 3 = 9

Solving for the interquartile range

Marc's class: 9 - 3 = 6

Sue's class: 10 - 5 = 5

Answer:

$365.70

Step-by-step explanation:

The formula to find this is [tex]y = a(1+r)^t\\[/tex]

For this, a is the initial amount, r is the growth rate percentage (but displayed as a decimal), and t is time.

So to solve, you would do

[tex]y = 300(1+0.02)^10\\y = 300(1.02)^10\\y = 365.698325998\\OR\\y = $365.7 in interest[/tex]

On cutting the circle into more and more slices, its shape will get closer to a rectangle.

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Given that, a circle is divided into 4 slices. The slices are arranged into the shape.

So, when we will cut the circle into similar manner, the shape we will get closer to will be a rectangle,

When we will calculate the perimeter and the area of the obtained rectangle, it will be equal to the circle.

Hence, on cutting the circle into more and more slices, its shape will get closer to a rectangle.

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Final answer:

When a circle is divided into more and more slices and these slices are rearranged, they approximate a circle more closely. While a hexagon may seem like a closer shape due to the angles of its vertices, the ultimate shape remains a circle.

Explanation:

If a student rearranges the slices from a circle cut into more slices, they would get a shape that approximates a circle more closely as the number of slices increases. As each slice becomes thinner, the perimeter of the rearranged shape starts resembling a smooth curve, which is the characteristic of a circle.

Looking at the angles provided, a triangle has 60° angles, a square has 90° angles, a pentagon has 108° angles, and a hexagon has 120° angles. The figures suggest that a hexagon would be a more favorable shape when arranging slices because the angles of a hexagon (120°) are closer to the 360° of a full circle when divided by an increasing number of slices. However, when arranging the slices, the ultimate shape one gets closer to is the circle itself, irrespective of the polygonal shape intermediate stages may suggest.

Answer:

64

Step-by-step explanation:

832/13