A chord in a circle is 16cm long and its perpendicular distance from the centre is 6cm. what is the radius of the circle​

Answers

Answer 1

Answer:

10 cm

Step-by-step explanation:

the perpendicular from centre bisect the chord in equal halves. hence you can use pythagoras therom as

r^2 = 6^2 + 8^2


Related Questions

Hahaha A little help? Plss

Answers

Answer:

Step-by-step explanation:

6/58=3/29

Answer:

3/29

Step-by-step explanation:

what is -3(2u-3w-4)

please answerr

Answers

Answer:

-6u +9 w +12

Step-by-step explanation:

The answer is 6c—9w—12

when your cousin was born, she was 21 4/5 inches long. when your friends was born he was 21 3/4 inches long. who was longer at birth? how much longer?​

Answers

Answer:

cousin

1/20 inches

Step-by-step explanation:

Hi there !

cousin

21 4/5 = (21×5+4)/5 = 109/5

friend

21 3/4 = (21×4+3)/4 = 78/4

lcm(4 ; 5) = 20

⁴⁾109/5 = 436/20 (cousin)

⁵⁾87/4 = 435/20 (friend)

436/20 > 435/20

cousin > friend

436/20 - 435/20 = 1/20 inches longer (cousin)

Good luck !

is it A B C D Pls tell me ​

Answers

20 is 1000 times of 0.02. Correct answer is option C.

What is Decimal ?

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Here, given value

0.02 = 002/100

        = 2/100

On multiply numerator and denominator by 10, we get

0.02 = 20/1000

or 20 = 1000 X 0.02

Thus, 20 is 1000 times of 0.02.

Learn more about Decimal Number from:

https://brainly.com/question/4708407

#SPJ1

Of the 50 students in mr motchells classes 60% are girls on friday 20% of the girls in the classes wore jeans how mnay girls wore jeans

Answers

Answer:it would be 20

Step-by-step explanation:

Answer: 20.

Step-by-step explanation: 60% of 50 is 30 (students). 20% of it would be 20 (students).

Order the following numbers from least to greatest. Put the lowest number on the left. 50 25 0 -75​

Answers

Answer:

-75 0 25 50

Step-by-step explanation:

the order it needs to be in is -75,0,25,50

What is this simplified step by step

Answers

I say it’s 28 because I used a calculator sooo this was easy so yeah the answer is 28

In the year 2004, a survey was undertaken to find whether citizens of a certain political party supported their party's candidate for governor. In a sample of 300 citizens of this party, 95% of them expressed support for their party's candidate. A similar survey was conducted four years later and showed that 91% of a sample of 350 citizens of this party expressed support for their party's candidate. Construct a 95% confidence interval for the difference in population proportions of citizens of this party who supported their gubernatorial candidate in 2004 and citizens of this party who supported their gubernatorial candidate four years later. Assume that random samples are obtained and the samples are independent. (Round your answers to three decimal places.) z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576

Answers

Answer:

The 95% confidence interval for the difference in population proportions is (0.001, 0.079).

Step-by-step explanation:

The (1 - α)% confidence interval for the difference in population proportions is:

[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha /2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}[/tex]

The information provided is as follows:

[tex]\hat p_{1}=0.95\\\hat p_{2}=0.91\\n_{1}=300\\n_{2}=350\\[/tex]

The critical value of z for 95% confidence level is 1.96.

Compute the 95% confidence interval for the difference in population proportions as follows:

[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha /2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}[/tex]

     [tex]=(0.95-0.91)\pm 1.96\times\sqrt{\frac{0.95(1-0.95)}{300}+\frac{0.91(1-0.91)}{350}}\\\\=0.04\pm 0.0388\\\\=(0.0012, 0.0788)\\\\\approx (0.001, 0.079)[/tex]

Thus, the 95% confidence interval for the difference in population proportions is (0.001, 0.079).

QUESTION 1 Let’s say that an investigator is interested in the effects of caring for a person with ALS (Lou Gehrig’s disease) on physical and mental health. In particular, the researcher wants to know whether ALS caregivers suffer from clinically elevated levels of depression. They administer the Beck Depression Inventory (BDI) to 20 ALS caregivers. Scores on the BDI range from zero to 40. Scores at or above 25 are considered to reflect clinically significant levels of depression. The mean depression score for the 20 caregivers in the sample is 28. The standard deviation for this sample is 3.0. Do these data support the hypothesis that the mean depression score for ALS caregivers is significantly higher than the cutoff score for depression of 25? This example is not a perfect example of a "true experiment," so the independent and dependent variable are not as clearly identifiable as some other examples. In this example, what is the dependent/outcome variable? Beck Depression Inventory scores How many ALS caregivers there are in the study Whether the caregivers are taking care of someone who has ALS vs. cancer The ALS caregivers vs. the national norms for adults

Answers

Answer:

The decision rule is

Reject the null hypothesis

The conclusion is  

There is sufficient evidence to conclude that the data support the hypothesis that the mean depression score for ALS caregivers is significantly higher than the cutoff score for depression of 25

dependent/outcome variable

Generally the dependent variable is  Beck Depression Inventory (BDI) scores because the score are dependent on the ALS caregivers

Step-by-step explanation:

From the question we are told that

  The sample size is  n = 20

  The population mean is  [tex]\mu  =  25[/tex]

   The sample mean is  [tex]\= x  = 28[/tex]

  The standard deviation is  [tex] s  =  3.0[/tex]

  The null hypothesis is [tex]H_o  :  \mu  =  25[/tex]

  The alternative hypothesis is  [tex]H_a  :  \mu  >  25[/tex]

  Generally the test statistics is mathematically represented as

     [tex]z = \frac{\= x - \mu }{ \frac{s}{\sqrt{n} } }[/tex]

=>  [tex]z= \frac{ 28 -25 }{ \frac{3.0}{\sqrt{20 } } }[/tex]

=>  [tex]z=  4.47[/tex]

 Generally the probability of  z from the z- table is

   [tex]p-value  =  P(Z >  4.47) =  0.000[/tex]

From the values obtained we see that  [tex]p-value  <  \alpha[/tex] hence

The decision rule is

Reject the null hypothesis

The conclusion is  

There is sufficient evidence to conclude that the data support the hypothesis that the mean depression score for ALS caregivers is significantly higher than the cutoff score for depression of 25

Generally the dependent variable is  Beck Depression Inventory (BDI) scores because the score are dependent on the ALS caregivers

what is 3 + 2x = -6x + 4​

Answers

Answer:

x = 1/8

Step-by-step explanation:

the set of letters in the word mathematics is finite?​

Answers

Answer:

Yes

Step-by-step explanation:

10 yd
4 yd
What is the area of the shaded portion to the nearest hundredth? Enter the answer in the box.
square yards

What is the answer of the green portion?

Answers

Answer : The area of the shaded portion is 33.72 yd².

Step-by-step explanation :

Given:

Length of the box = 10 yd

Width of the box = 4 yd

Area of the shaded portion = Area of rectangular box - Area of half circle

First we have to calculate the area of rectangular box.

Area of rectangular box = Length of the box × Width of the box

Area of rectangular box = 10 yd × 4 yd

Area of rectangular box = 40 yd²

Now we have to calculate the area of half circle.

As we know that:

Area of circle = π × r²

where,

r = radius of circle

Area of half circle = [tex]\frac{\pi \times r^2}{2}[/tex]

Radius of circle = [tex]\frac{4yd}{2}=2yd[/tex]

Area of half circle = [tex]\frac{3.14 \times (2yd)^2}{2}[/tex]

Area of half circle = 6.28 yd²

Now we have to calculate the area of the shaded portion.

Area of the shaded portion = Area of rectangular box - Area of half circle

Area of the shaded portion =  40 yd² - 6.28 yd²

Area of the shaded portion =  33.72 yd²

Therefore, the area of the shaded portion is 33.72 yd².

Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)

Answers

Answer:

x-intercept: (-40, 0)

y-intercept: (0, 15)

Step-by-step explanation:

The x-intercept is the value of x when y = 0. By looking at the graph, you can tell when y = 0, x = - 40. The x-intercept is the point that crosses the x-axis.

The y-intercept is the value of y when x = 0. By looking at the graph, you can tell y = 15 when x =0. The y-intercept is the point that crosses the y-axis.

Please I need some answers one or two are fine

Answers

Answer:

A. 10,000

B. 1,000,000

C. 10,000,000,000

D. 1,000,000,000,000

Step-by-step explanation:

10,000/ 10∧4 = 1

1,000,000/ 10∧6 = 1

10,000,000,000/ 10∧10 = 1

1,000,000,000,000/ 10∧12 = 1

Hope this helps! Good luck!

put the steps for the deriving for the area of a triangle in the correct order​

Answers

Answer:

See Below.

Step-by-step explanation:

Steps:

1) Draw the altitude of the triangle from Vertex B to side CA and label it h.

2) Find [tex]\sin(C)[/tex] of the triangle.*

3) [tex]\displaystyle \sin(C)=\frac{h}{a}[/tex]

4) Solve for h.

5) [tex]h=a\sin(C)[/tex]

6) Substitute expression for h into traditional formula for area of a triangle,[tex]\displaystyle A=\frac{1}{2}bh[/tex].

7) [tex]\displaystyle A=\frac{1}{2}ba\sin(C)=\frac{1}{2}ab\sin(C)[/tex]

(We acquire two right triangles after drawing h since it is an altitude. We will use the smaller of the two.)

Point J is between H and K on line segment HK. Use the given information to solve for X. Also find the length of line segment HJ.
HK = 33
HJ = 3x-4
JK = 2x+7
X= ?
The length of line segment HJ= ?

Answers

Answer:

x=-3, so now u plug it in, 3(-3)-4=?

answer: HJ is -13.

Using line segments concepts, it is found that:

The value of x is 6.The length of line segment HJ is 14.

-------------------------------

Point J is between H and K in a line segment HK, thus:

[tex]HK = HJ + JK[/tex]

-------------------------------

We are given that:

[tex]HK = 33[/tex][tex]HJ = 3x - 4[/tex][tex]JK = 2x + 7[/tex]

Thus, replacing into the equation, it is possible to solve for x.

-------------------------------

[tex]HK = HJ + JK[/tex]

[tex]33 = 3x - 4 + 2x + 7[/tex]

[tex]5x + 3 = 33[/tex]

[tex]5x = 30[/tex]

[tex]x = \frac{30}{5}[/tex]

[tex]x = 6[/tex]

The value of x is 6.

-------------------------------

The length of line segment HJ is:

[tex]HJ = 3x - 4 = 3(6) - 4 = 18 - 4 = 14[/tex]

A similar problem is given at https://brainly.com/question/24476050

Simplify the following equation. 4x + 2 = 8x - 5

Answers

Answer:

1.75= X

Step-by-step explanation:

4x+2=8x-5

-4x     -4x

2=4x-5

+5      +5

7=4x

divide by 4

1.75=x

Mark brainilst plzzz

Vaughn paints his porch floor and also the porch floors of 9 neighbors. Each floor is a rectangle that is 8.4 feet long and 6.9 feet wide.

Answers

Answer:

579.6 ft²

Step-by-step explanation:

10(8.4×6.9)

Answer:

521.64

Step-by-step explanation:

first you do 8.4 times 6.9 which gets you 57.96 and then you multiply that my 9 which gets you 521.64.

how does the graph below change between point A and point B?​

Answers

I am not able to solve this because there is no graph shown.

(30 points!)
determine which lines are parallel??​

Answers

Answer:

looks like the parallel lines are "l" and "n"

Step-by-step explanation:

when two lines are parallel, they should be across from each other going the same way. For example: / / , or \ \  sometimes even on top of each other. It can't be line "m" because it seems a little slanted. Parallel lines have to be the same length and same size. It can't be line "t" because the line is going in a different direction.

What is 9.2568×10−3 written in standard form?

Answers

Answer:

80 9. 0.5 0.06 0.008 (89.568)

Step-by-step explanation:

9.2568x 10-3 would equal 89.568

(-2k^3-7k^2+5k) + (6k^2+3k)​

Answers

Answer:

-2k³+6k²+k+9

Step-by-step explanation:

what is the solution for the following equation? 3(a-7)=14-4a​

Answers

Answer:

a= 5

Step-by-step explanation:

3 (a-7)= 14-4a -Remove Parentheses

3a-21=14-4a -Move the terms

3a+4a=14+21 -Collect like terms

7a=35 -Divide both sides

a=5 - Solution

Use base ten blocks or an area model to find the product. 2.1 x 1.5

Answers

It’s 3.15... I hope it helps!!! Have an amazing day love

The surface area of a sphere with a diameter of 12 units is:

Answers

Answer:

452.39

Step-by-step explanation:

Using the formula

A=4pi r ^2

D=2r

A=pie r d^2

= pi. 12^2

=452.39

Fill in the value which would complete the square:
X^2 + 10x +____

Answers

Answer:

25

Step-by-step explanation:

(x+5)(x+5)=x(x+5)5(x+5)

=x^2+5x+5x+25

=x^2+10x+25

i hope it is clear

Which number line expression shows how to find the distance from 2 to -5?​

Answers

Answer:

5+2=7

Step-by-step explanation:

how do you take the square root of a perfect square variable​

Answers

Search Results
Featured snippet from the web
Answer: “Just take the number and multiply it by itself! If you square an integer, you get a perfect square!”

Madison's checking account had a balance of - $45. Then she wrote a check to pay her utility bill for $34. Write an expression to represent Madison's situation.

Answers

-$45 - 34 = -79 explain when you subtract a negative to a positive you come out with a negative

A small airplane flew 104 miles in 50 minutes. At this rate, how many miles can it fly in one hour? (50 minutes = 56 hour)

Answers

Answer:

124.8 miles

Step-by-step explanation:

104 divided by 5 equals 20.8, then 20.8 times 6 equals 124.8

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Which completely transformed scientific study? 2) A square and a rectangle have the same perimeter. The square has a side length of 6 x units. Therectangle has a length of (5x + 8) and a width of 6 units. For what value of x, will the square andrectangle have the same perimeter?30x usba. 230 x 54 = 30x 54b. 4C. 5d. 3 Which of the following types of stars is the hottest? (2 points)Group of answer choicesBlue main sequenceOrange main sequenceRed supergiantWhite dwarf Which of the following decimals would round to 6.6? *6.7236.5266.576.49 What would you like to know? Which of the following explains the relationship between angles A and D What would life be like without freedom of religion? You can build muscle using a wide variety of rep schemes and weight variations. According to the research that used UNTRAINED and TRAINEDparticipants, the more important factor seemed to be TOTAL WORK_______Reps * Sets * Weight. As long as volume is the similar, bothlight weights and heavy weights work about the same. They did find that lifting heavier weights had a slightly better hypertrophic effect. Ted determined that the length of the diagonal of his square-shaped lawn was start root 83 end root feet. Which is closest to the length in feet of the diagonal of Ted's lawn? A8 B.9 C.41 D.166 Classify each of the following attributes as either categorical or numerical. For those that are numerical, determine whether they are discrete or continuous. a. Brand of computer purchased by a customer b. State of birth for someone born in the United States c. Price of a textbook d. Concentration of a contaminant (micrograms per cubic centimeter) in a water sample e. Zip code f. Actual weight of coffee in a 1-pound can Plz, help me!!!Write each interval as an inequality. Then graph the solutions. (,5) Jack decides to coast to a stop on his bicycle, so he quits pedaling. The table represents his velocity (in meters per second) as afunction of time (in seconds). Which statement best describes the significance of V(t) having a value of zero? A)Jack has coasted for 20 secondsB)Jack's bicycle will not be moving.C)Jack is pedaling his bicycle againD)Jack has traveled at least 200 meters Find the distance between the two points in simplest radical form.(-5,8) and (-3,1) write a story that illustrates the saying: you cannot judge a book by its cover The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. Write the ratios as fractions in simplest form. Many attempts have been made to relate happiness with various factors. One such study relates happiness with age and finds that holding everything else constant, people are least happy when they are in their mid-40s (The Economist, December 16, 2010). Data are collected on a respondents age and his/her perception of well-being on a scale from 0 to 100; the data is presented below. Age Happiness 49 62 51 66 41 67 65 71 84 87 41 60 83 86 18 78 36 59 61 63 15 77 86 90 73 70 32 62 84 93 23 72 52 58 72 73 63 63 30 66 72 78 47 60 88 95 69 72 Required:a. Calculate the sample correlation coefficient between age and happiness.b. Interpret the sample correlation coefficient between age and happiness.c. Draw a scatterplot to evaluate your interpretation of the calculated sample correlation value. How do I solve this! What is the domain of this function? (-6.7, 12)(15,5.2)(1,9)(12,9) To compare how different types of soil absorbed water, Christian set up an experiment. He poked equal numbers and sizes of holes into the bottoms of three plastic cups. He filled one cup with sand, one with potting soil, and left one empty. He placed each cup in a stand over a beaker. Christian poured 400 mL (milliliters) of water into each of the cups. He then measured the amount of water collected in the beakers beneath each cup at 1 minute intervals for 3 minutes.What is the control group in this experiment? Group of answer choicesthe cup with the soilthe empty cupthe amount of water collected in the beakerthe cup with the sand The element sodium has an atomic number of 11and a mass number of 23 how many protons neutrons and electrons does one atom contain