The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2, then determine the diameter of the circle that contains AH. (section 10.6 question 5 in geometry math nation)

Answers

Answer 1

Answer:

Diameter of the circle = 7

Step-by-step explanation:

The exact question is as follows :

Given - The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2

To find - determine the diameter of the circle that contains AH.

Proof -

Given that,

AH = 6

RC = 2

Let us denote,

CB = x

So,

RB is the radius of the circle. It gives the value x + 2

As AH = 6

⇒AC = CH = 3

Also,

BH is the radius,

So, BH = x + 2

Now,

In triangle CBH,

BH² = CB² + HC²

⇒(x+2)² = x² + 3²

⇒x²+2² + 4x = x² + 9

⇒4 + 4x = 9

⇒4x = 9 - 4

⇒4x = 5

⇒x = 5÷4

⇒x = 1.5

So,

Radius = x + 2

           = 1.5 + 2 = 3.5

⇒Radius = 3.5

As we know,

Diameter = 2×Radius

                = 2×3.5

                = 7

Diameter of the circle = 7

The Prom Is In Need Of A Floral Archway, Such As The One Below. Segment RC Is The Perpendicular Bisector
The Prom Is In Need Of A Floral Archway, Such As The One Below. Segment RC Is The Perpendicular Bisector
Answer 2

The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the diameter of the circle is 6.5 units.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The prom is in need of a floral archway, such as the one below.

Segment RC is the perpendicular bisector of segment AH.

If AH = 6 and RC = 2.

Let CB be x.

Then the radius RB will be x + 2

BH = x + 2

Then by the Pythagoras theorem, we have

BH² = CB² + HC²

⇒ (x + 2)² = x² + 3²

⇒x² + 4 +4x = x² + 9

⇒ 4x = 5

⇒ x = 1.25

The radius will be

r = x + 2

r = 1.25 + 2

r = 3.25

Then the diameter will be

Diameter = 2 × r

Diameter = 2 × 3.25

Diameter = 6.5

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Related Questions

Help me plz I did the first problem

Answers

Answer:

b. 30 > 2d

   15 > d

c. 15/f < 5

   15 < 5f

   5 < f

d. 42 [tex]\leq[/tex] 50 - m

   42 + m [tex]\leq[/tex] 50

   m [tex]\leq[/tex] 8

A sample of 300 subscribers to a particular magazine is selected from a population frame of 9,000 subscribers. If, upon examining the data, it is determined that no subscriber had been selected in the sample more than once:________.
A. the sample could not have been random
B. the sample may have been selected without replacement or with replacement
C. the sample had to have been selected without replacement
D. the sample had to have been selected with replacement

Answers

Answer:

C

Step-by-step explanation:

It is determined that no subscriber had been selected in the sample more than once the sample had to have been selected without replacement.

What is the sample?

A sample is a subset of data drawn from a larger population by a researcher using a predetermined selection process. These components are referred to as sample points, sampling units, or observations.

If it is determined that no subscriber had been selected in the sample more than once, this means that each subscriber was only included once in the sample. This can only occur if the sample was selected without replacement, meaning that each subscriber was selected once and only once from the population frame.

Therefore, the correct answer is C. the sample had to have been selected without replacement.

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Which graph represents the equation y=-
--*x+3?
B)
t

Answers

Answer:

The correct answer would be the 3rd graph!

Hope this helps!

a length of 25 meters.cindy cut the string in 4 pieces of equal length.how was each piece​

Answers

Answer:

6.25 meters

Step-by-step explanation:

25/4 = 6.25

Length of each cut piece is 6.25 m.

What is division?

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Given

A length of 25 meters cut the string in 4 pieces of equal length.

= [tex]\frac{25}{4}[/tex]

= 6.25

Length of each cut piece is 6.25 m.

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Indiana now has 8 different area codes. How many different phone numbers are available within Indiana if the numbers can repeat? Remember that phone numbers have an area code followed by 7 digits.

Answers

Answer:

Well, this could turn out to be a simple permutation problem: you have ten number choices (0-9) for each digit of a phone number and repetitions are allowed. Technically, there could be as many as \begin{align*}10^{10} = 10,000,000,000\end{align*}, or 10 billion possible phone numbers.

Step-by-step explanation:

:D

What ratio/s are equivalent to the following ratio: 6:8
a 3:4 b 12:16. с 18:24 d 30:40​

Answers

Answer:

a. 3/4

Step-by-step explanation:

6:8

=6/8

=3/4

Hope it Helps

help what's 1x1+9x20​

Answers

Answer:

The answer is 181

Step-by-step explanation:

PEDMAS

1 x 1 + 9 x 20

1 x 1 = 1

1 + 9 x 20

9 x 20= 180

1+180

which equals 181

Answer:

181

Step-by-step explanation:1x1=1 9x20=180+1=181

Thats your answer my fellow brains


Indra completed 85% of a Multiple Choice Test in Science. She has 3
questions to complete.
(a) How many questions are there in the test?

Answers

Answer:

20 questions

Step-by-step explanation:

There is 15% of the test left and 3 questions

15/3 = 5

85/5 = 17

17+ 3 = 20

If P = (5,4), find the image
of P under the following rotation.
180° counterclockwise about the origin
([?], [])
Enter the number that belongs in
the green box.

Answers

Answer:

[tex](-5,-4)[/tex]

Step-by-step explanation:

Given

[tex]P = (5,4)[/tex]

Rotation: 180 degrees counterclockwise

Required

P'

Rotation: 180 degrees counterclockwise

The rule is:

[tex](x,y) \to (-x,-y)[/tex]

So: [tex]P = (5,4)[/tex] becomes

[tex](5,4) \to (-5,-4)[/tex]

Q8. How many solutions does the system of equations have?

Answers

Answer:

it would be the first answer

Step-by-step explanation:

a solution is where the lines meet, and the coorinate is (1,4)

the answer would b A !

Russell surveyed 16 students at his school and found that 4 of them planned to take orchestra as their next elective. If Russell surveys 12 more students, how many of them are probably planning on taking orchestra as an elective, based on past data?

Answers

Answer:3

Step-by-step explanation:

The probability that the number of students who take orchestra as an elective is 1/4 and the number of students who joined extra is 4

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that the number of students who take orchestra as an elective be represented as P

Now , the equation will be

The total number of students = 16 students

The number of students who opted for orchestra as elective = 4 students

So , the probability that the number of students who take orchestra as an elective P = number of students who opted for orchestra as elective / total number of students

Substituting the values in the equation , we get

The probability that the number of students who take orchestra as an elective P = 4/16

The probability that the number of students who take orchestra as an elective P = 1/4 = 25 %

Now , when the number of students = 16 + 12 = 28 students

The probability that the number of students who take orchestra as an elective P₁ = ( x + 4 ) / 28

Substituting the values in the equation , we get

1/4 = ( x + 4 ) / 28

Multiply by 28 on both sides of the equation , we get

x + 4 = 7

Subtracting 4 on both sides of the equation , we get

x = 3 students

So , the number of students who will take orchestra from the group of 12 students is 3 students

Hence , the probability is 1/4

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NO LINKS!!!! Find each measurement indicated. Round your answer to the nearest tenth. Part 2c​

Answers

9514 1404 393

Answer:

BC = 24.0AC = 26.0m∠B = 73.4°m∠B = 30.0°

Step-by-step explanation:

The law of sines tells you the ratio of sides is the same as the ratio of sines of their opposite angles.

This post has 2 kinds of problems.

1) 2 angles and the side between them are given.

2) 2 sides and the angle opposite the longest is given.

For the first type, you need to determine the missing angle (opposite the given side). That comes from the sum of angles of a triangle being 180°. Then you find the remaining sides using the ratio of sines.

For the second type, the angle opposite the shorter side is found using the ratio of sides to find the sine of that angle. Then the third side and third angle can be found using the ratio of sides to find the sine of the angle, and using the ratio of sines to find the missing side.

Straightforward, and tedious. For more than one, I like to use a spreadsheet to crunch the numbers.

_____

1) BC = 24.0

2) AC = 26.0

3) m∠B = 73.4°

4) m∠B = 30.0°

__

In the spreadsheet, the given values are in the first 3 columns. The 4th column is the first one calculated. As indicated above, the angle calculation for problems 1 and 2 uses the sum of angles relation. For problems 1 and 2, this is the angle opposite the given side. The "first side" is the side opposite the "first angle". c = b·sin(C)/sin(B), for example.

For problems 3 and 4, the first unknown angle is the one opposite the "short side", which is the shorter of the given sides. As it happens, this is the side that is asked for in the question. B = arcsin(c·sin(B)/sin(C))

_____

Additional comment

In a spreadsheet, angles are presumed to be in radians for all of the trig functions. We use the DEGREES( ) and RADIANS( ) functions to convert as appropriate.

What is the length of AC?

Answers

The length of AC 90°

help ugent!
12 + 2 + 2 + 2 + 2 + 2 ^ 2=

Answers

[tex]24.[/tex]

Step-by-step explanation:

[tex]12 + 2 = 14.[/tex]

[tex]14 + 2 = 16.[/tex]

[tex]16 + 2 = 18.[/tex]

[tex]18 + 2 = 20.[/tex]

[tex]20 + {2}^{2} = 24.[/tex]

Note:- 2² = 2×2 = 4. So, 2² = 4.

Answer:

24

make sure you calculate the answer next time!

Find the zeros of the function y=x(x+2)(x-4)

Answers

Answer:

first x= -2

second x= 2

third x= 4

Initially Sam receives $40 and every year she receives a deposit that increases the amount by $20 from
the previous year. Find the total amount deposited by her 18th birthday.

Answers

Answer:

1080

Step-by-step explanation:

id also appreciate help on this one ^^

Answers

Answer:

The area of the given figure is 87.55 cm square.

The population of Nowhere, USA was estimated to be 665,200 in 2004, with an expected increase of 1.9 % per year. At the percent of increase
given what was the expected population in 2005? Round your answer to the nearest whole number.

Answers

Answer:

677838 people

Step-by-step explanation:

1.9 percent of 665200 is 12638

665200+12638=677838

Find the product of
(−9−11i) and its conjugate.

Answers

Answer:

202

Step-by-step explanation:

First, we can find the conjugate of (-9 -11i)

Given a complex number a + bi, the conjugate would be a - bi.

So, the conjugate of -9 -11i is -9 + 11i.

Now, we multiply!

(-9-11i)(-9+11i)

This resembles the special product (a+b)(a-b) which multiplies out to a^2 - b^2

To apply this we subtract the square of the second number from the first.

(-9)^2 - (11i)^2

81 - 121i^2

i^2 is -1, so we can substitute it in:

81 + 121 = 202

13. Describe the type of solution for the
linear system of equations given below.
(x+4y=7
8y = 14 - 2x

Answers

Answer: infinite solutions

Step-by-step explanation:

Select the expressions that are equivalent to 9p + 8p.
A. 17p
B. 2p + 16p
C. p • 17
D. 3p + 13p​

Answers

A. 17p

Step-by-step explanation:

hope this helps ya :)

Ajay has equal numbers of rock songs and pop songs loaded on his personal music player. He has it set to play songs plz helpp...on a random shuffle. Suppose Ajay is designing a simulation that could be used to estimate the probability that the next three songs to play are all alternative rock songs.

Which simulation design could Ajay use to estimate the probability?

O A. Random digits Let 1, 2, 3, 4,5rock Let 6,7,8,9,0 pop Select three rondom digits. Repeat

O B. Number cube Let 1,2 = rock Let 4,5 - pop Roll cube three times. Repeat

O C. Number cube Let 1 = rock Let 2 = pop Roll cube three times. Repeat

O D. Random digits Let 1,2 = rock Let 3,4,5,6,7,8,9,0 = pop select three digits. repeat​

Answers

Option D. The simulation design that Ajay can use to estimate the probability would be Random digits Let 1,2 = rock Let 3,4,5,6,7,8,9,0 = pop select three digits. repeat​.

How to find the simulation design

The number cube has being said to be made up of six digits. The digits are said to be assigned in pairs of three.

Hence we are going to have a case of 1/3. This is what can then be used to model the probability.

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Two angles are complementary. One has a measure of 25 degrees. What is the measure of the other angle

90 degrees
65 degrees
25 degrees
155 degrees

Answers

9514 1404 393

Answer:

  (b)  65 degrees

Step-by-step explanation:

When angles are complementary, their total is 90°. The measure of the other angle is ...

  90° -25° = 65° . . . . . the measure of the other angle

evan is sending a package of some of his produce to his friend in California. The package measures 12 by 9 by 6 inches. He wraps it in brown paper, addresses it, and takes it to the post office to mail. How much brown paper will he need to wrap the box ____in2

Answers

Answer:

[tex]468in^{2}[/tex]

Step-by-step explanation:

L=12

W=9

H=6

2lw+2lh+2wh=468

Many think ts, "oh LWH" well actually lwh is volume

The brown paper required to wrap the package is 468 square inches.

What is a cuboid?

A cuboid is a three-dimensional shape in which all sides are rectangles. A cuboid has 6 faces, 8 vertices, and 12 edges. All the angles formed at the vertices of a cuboid are right angles. The opposite edges are parallel to each other.

For the given situation,

The diagram shows the package that is cuboid in shape.

The dimensions of cuboid are

The length of the cuboid = 12 in

The wide of the cuboid = 9 in

The height of the cuboid = 6 in

The package is wrapped using the brown paper. The brown paper needed can be calculated by using the surface area formula,

[tex]A=2(lw+hl+hw)[/tex]

⇒ [tex]A=2[(12)(9)+(6)(12)+(6)(9)][/tex]

⇒ [tex]A=2[108+72+54][/tex]

⇒ [tex]A=2[234][/tex]

⇒ [tex]A=468[/tex]

Hence we can conclude that the brown paper required to wrap the package is 468 square inches.

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What is Limit of g (x) as x approaches 1, if it exists?
0
7,000,000
700,000,000
DNE

Answers

Answer:

7,000,000

Step-by-step explanation:

Limit of a function:

The limit of a function is finding looking at it's lateral limits.

If the lateral limits are equal:

The limit exists.

[tex]\lim_{x \rightarrow a} f(x) = \lim_{x \rightarrow a^{+}} f(x) = \lim_{x \rightarrow a^{-}} f(x)[/tex]

If lateral limits are different:

That is:

[tex]\lim_{x \rightarrow a^{+}} f(x) \neq \lim_{x \rightarrow a^{-}} f(x)[/tex], then the limit does not exist.

In this question:

To the left of 1, that is, 0.9999....

[tex]\lim_{x \rightarrow 1^{-}} g(x) = 7,000,000[/tex]

To the right of 1, that is, 1.0001...

[tex]\lim_{x \rightarrow 1^{+}} g(x) = 7,000,000[/tex]

Since the both limits are the same, the limits exists and it's value is of  7,000,000.

Answer:

D

Step-by-step explanation:

It shows it in the quwestions image

The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees based on the region of the country the warehouse is located. She randomly selects 35 employees who work in warehouses on the East Coast (Group 1) and 35 employees who work in warehouses in the Midwest (Group 2) and records the number of parts shipped out from each for a week.
She finds that East Coast group ships an average of 1276 parts and knows the population standard deviation to be 347.
The Midwest group ships an average of 1439 parts and knows the population standard deviation to be 298.
Using a 0.01 level of significance, test if there is a difference in productivity level. What is the test statistic?
(Round to 4 decimal places)
z =
please use excel to solve

Answers

Answer:

The test statistic is z = -2.11.

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Group 1: Sample of 35, mean of 1276, standard deviation of 347.

This means that:

[tex]\mu_1 = 1276, s_1 = \frac{347}{\sqrt{35}} = 58.6537[/tex]

Group 2: Sample of 35, mean of 1439, standard deviation of 298.

This means that:

[tex]\mu_2 = 1439, s_2 = \frac{298}{\sqrt{35}} = 50.3712[/tex]

Test if there is a difference in productivity level.

At the null hypothesis, we test that there is no difference, that is, the subtraction is 0. So

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

At the alternate hypothesis, we test that there is difference, that is, the subtraction is different of 0. So

[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

From the two samples:

[tex]X = \mu_1 - \mu_2 = 1276 - 1439 = -163[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{58.6537^2+50.3712^2} = 77.3144[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-163 - 0}{77.3144}[/tex]

[tex]z = -2.11[/tex]

The test statistic is z = -2.11.

Which statement is true for the values of Pand Q on this number line? + Q + -2 1 -4 -3 0 1 A 응 4 B. PxQ5 C P+Q> -4 D P - Qo​

Answers

The correct answer is C hope this helps :)

Write the algebraic expression: 4p times the sum of 7 and 5p​

Answers

Answer:

4p(7 + 5p)

Step-by-step explanation:

4p times the sum of 7 and 5p​

4p(7 + 5p)

What coordinates will remain the same? What coordinates will change to the opposite between the pre-- and post-image?

Answers

Answer:

Y values will stay the same

Step-by-step explanation:

Reflecting over the Y axis will alter the distance left and right but not up and down. so only Y remains unchanged

Nootmath How can you tell a graph of an exponential represents decay?

Answers

Answer:

Step-by-step explanation:

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