The points ​(−8​,−2​) and ​(7​,4​) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.

The Points (8,2) And (7,4) Are The Endpoints Of The Diameter Of A Circle. Find The Length Of The Radius

Answers

Answer 1

Answer

8.08

Use the distance formula:

[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

where (x1, y1), (x2, y1) are points

[tex]\rightarrow \sf d =\sqrt{(7-(-8))^2 + (4-(-2))^2}[/tex]

[tex]\rightarrow \sf d =\sqrt{(15)^2 + (6)^2}[/tex]

[tex]\rightarrow \sf d =3\sqrt{29}[/tex]

This is the length of diameter.

Then radius:

· diameter/2

[tex]\sf \cdot \dfrac{3\sqrt{29} }{2}[/tex]

[tex]\sf \cdot 8.0777[/tex]

[tex]\sf \cdot 8.08 \ \ (rounded \ to \ nearest \ hundreth)[/tex]


Related Questions

Subtract 59.05 from 70.00​

Answers

Answer:

-10.95 hope it helps so yeah and if it's wrong sorry

Answer:

10.95

Step-by-step explanation:

When solving a problem like this you can just take the decimals then add then back at the end for example. ...

7,000

-

5,905

_______

1,095

Then, add the decimal back in its original spot to give you 10.95

Hope this helps!

Solve for [x]. The pair of polygons are similar.
5x+2
B
16
The scale factor from A to B is 2:9

Answers

A 2 b 9 should be good

Give the final answers in scientific notation

Answers

Answer:

I'm assuming you want me to do 18-23?  Okay:

Step-by-step explanation:

18) 8.6(10^−4)+6.7(10^−5)

=0.000927 --> 9.27 × 10^-4

19)  3.5(10^3)−9(10^1)

=3410 --> 3.41 × 10^3

20)  5.6(10^4)(4.5(10^6))

=252000000000 -->  2.52 × 10^11

21)  7.6(10^−7)(8.9(10^−2))

=0 --> 0

22)  3.9(10^−12)/4(10^4)

=0 --> 0

23)  1.75(10^5)/5(10^−3)

=35000000 -->  3.5 × 10^7

-

Please comment below if you would like me to solve #24 :)

The bolded numbers are the answer, the underlined numbers are to show the question number.  Hope this helped !!

Hey! So I need to study for my Algebra 1 finals can someone link me a video or give me a way to study for algebra 1. I have a week or so

Answers

Answer:

Review your state Standards.

Notes

Khan on your topic or grade level

Dealta Math

Math Nation


A watch which looses a half a minute every hour was set to read the correct time at 0445hr on Monday. Determine in twelve hour system the time the watch will show on Friday at 1845hr the same week.

Answers

Answer:

see below

Step-by-step explanation:

Using a 24 HOUR SYSTEM

The total time from Monday to Friday times given

 =  24 x 4   + (18:45 - 4:45) = 96 + 14  = 110 hours

110 hours  *   30/3600  = .91667  hours lost = 55 minutes lost

 watch will show   18:45   - 55 minute = 17:50    ( 5:50 in 12-hour system)

Whats is the answer with procedure. n=18, n=9 or n= 3

Answers

Answer:

n = 3

Step-by-step explanation:

Isosceles means that the left and right sides (non-parallel sides) are equal to each other and so the base angles are also equal to each other. Then you can make an equation with the 8n^2-11 set equal to the 2n^2+7.

see image.

To solve it you have to set everything equal to zero (get all terms on one side of the equation) FACTOR (you end up with the difference of two squares) and solve, using zero product property. See image.

solve the system using substitution. show all work. {4x + 5y = 7 {y = 3x - 10

Answers

Answer:

x = 3, y = -1.

Step-by-step explanation:

4x + 5y = 7

y = 3x - 10

Substitute for  y = 3x - 10 in the first equation:

4x + 5(3x - 10) = 7

4x + 15x - 50 = 7

19x = 7 + 50 = 57

x = 57/19 = 3.

Now plug x = 3 in the second equation

y = 3(3) - 10

y = 9 -10

y = -1.

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

0.09

.............................

100 PTS AND WILL GIVE BRAINLY!!!

THE SCENARIO
The Tortoise and the Hare finally have their long awaited rematch. The Tortoise gets a
300 m lead and runs at 0.2 m/s. The Hare begins at the starting line and runs at a rate of 2 m/s. There is also a rat in this race. The Rat starts 350 m ahead of the Hare and runs back towards the starting line at a rate of 0.6 m/s.

THE CALCULATIONS
Create a table of values for each runner in the race. The domain for the race will be 0 ≤ t ≤ 200 seconds. You can decide on 5 time intervals for your table.

Answers

Answer:
Tortoise:

Hare:
Rat:

All will be shown later

Step-by-step explanation:

Equation for Torotise: f(x)=0.2(x)+300

Equation for the Hare: f(x)=2(x)

I hope it helps! I will show you screenshots in the comments

A class has seven students. what is the probability that exactly four of the students were born on a weekday (monday through friday)?

Answers

The probability that exactly four of the students were been born on a weekday (i.e. Monday through Friday) is 0.2125.

What is the probability of determining that exactly four students were born on a weekday?

To determine the probability, we need to first find the probability of having a student being born on a weekday.

[tex]=\mathbf{\dfrac{5}{7}}[/tex]

The probability of having 4 students born on a weekday is:

[tex]=\mathbf{(\dfrac{5}{7})^4}[/tex]

Since we have 4 students, we also need to find the probability of the students that are not being born, which is:

[tex]=\mathbf{(\dfrac{2}{7})^3}[/tex]

Also, there are [tex](^7_4)[/tex] = 35 ways to get four students out of seven students.

Therefore, we have the probability as:

[tex]\mathbf{P = 35 \times (\dfrac{5}{7})^4 \times (\dfrac{2}{7})^3}[/tex]

P = 0.2125  

Therefore, we can conclude that the probability that exactly four of the students were born on a weekday is 0.2125.

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If f(x) = x² — 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?
4
-2
2
04

Answers

Answer:

-2

Step-by-step explanation:

Given that;

f(x) = x² -2x

and g(x) = 6x + 4

(f + g)(x) = x²-2x+6x+4

:- x² +4x + 4 = 0

x² +2x +2x + 4 = 0

x(x + 2)+2(x + 2) = 0

(x + 2)(x + 2) = 0

:- x = -2


Sum= 5; Product = 6

Answers

Answer:

2 and 3

Step-by-step explanation:

[tex]3*2=6\\3+2=5[/tex]

what is 24 x 24x 25 x 710.

Answers

Answer:

24 x 24 x 25 x 710 = 10,224,000

Step-by-step explanation:

24 x 24 = 576

576 x 25 = 14, 400

14,400 x 710 = 10,224,000

lo que da en total= 10,224,000

Answer:

10224000 i used a calculator

Step-by-step explanation:

1.5. a + b + c + d + e is this expression a monomial/ binomial/ trinomial/ polynomial ​

Answers

Answer:

polynomial

Step-by-step explanation:

because poly=more than 1

mono=1

bi= 2

tri=3

7(7-2 × 3) = ?
What is the answer?
A. 24
B. 7
C. 14
D. 26

Answers

Answer:

b) 7 option B 7 is the answer

Step-by-step explanation:

bidmas rule:

7-2×3

2×3= 6

7-6=1

7×1= 7

therefore the answer is 7.

Answer: The answer is [tex]B. 7[/tex]

Step-by-step explanation:

[tex]7(7-2[/tex] × [tex]3)[/tex]

Simplify the expression.

[tex]7-2= 5[/tex]

[tex]7[/tex] × [tex]3[/tex] = [tex]21[/tex]

[tex]21[/tex] ÷ [tex]3=7[/tex]

How to simplify the ratio of 40cm : 2m

Answers

I think it’s 1:5.

2m=200 cm
40 cm:200 cm =1:5

If the probability of a defect with the brakes or the chain is 6 percent, what is the probability of a chain defect?

1.5 percent
2 percent
2.5 percent
3 percent

Answers

The Probability of a chain defect will be 3%.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Let B  be the event that brake defect .

Let C be the event that chain defect.

Since we have given that

Probability of a brake defect P(B) = 4%

Probability of both chain and brake defect P(B∩C) = 1%

Probability of either brake or chain defect P(E∪C) = 6%

So, we need to find the probability of a chain defect.

As we know the rule of probability.

P ( B U C )  =  P(A) + P (B) - P ( B [tex]\cap[/tex] C)

6   =   4   +  P (C)  - 1

P (C) = 3

Hence, Probability of a chain defect is 3%.

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Tierra is making steps for a doll houseshe has cut a piece of wood that measures 1.5 centimeters wide and 30 centimeters longeach step will measure 15 millimeters by 4 millimetersshe will make 21 steps for her doll housewhich are the dimensions of the wood that remains after tierra finishes making the 21 steps?

Answers

The dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm

How to determine the remaining dimensions?

The given parameters are:

Wood = 1.5 cm by 30 cm

Each cut = .15 mm by 4 mm

Steps = 21

The remaining dimension is calculated as:

Remaining = 1.5 cm - 21 * .15 mm by 30 cm - 21 * 4 mm

Express mm as cm

Remaining = 1.5 cm - 21 * .015 cm by 30 cm - 21 * 0.4 cm

Evaluate the difference

Remaining = 1.185 cm by 21.6 cm

Hence, the dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm

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A pen was attached to a table by a small 10-inch chain. Jason lifted the pen, pulled the chain as far as it would reach, and then drew a circle as shown below.

Answers

The circumference of the circle that Jason drew is gotten as; 62.80 inches

How to find the circumference of a circle?

Since Jason lifted the pen and pulled the chain as far as it would reach before drawing a circle, then it means that;

radius of circle; r = 10 inches

Formula for circumference is;

C = 2πr

Thus;

C = 2 * 3.14 * 10

C = 62.80 inches

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HELP IM STUCK ON THIS

Answers

Answer:  Let's just say that each of the units are 1 inch in sides, and since it's an irregular shape you have to separate each shape. So, the rectangle I separated is 14 inches.

The semicircle is 12.56.

Adding those two answers together comes out to 26.56.

PLEASE HELP USING ALL MY POINTS FOR THIS!!! WILLMARK BRAINLIST

A basketball team allows people to buy either a ticket (T), or an signed autograph ticket (S). If two customers buy one ticket each, what is the sample space for this? Select all the choices that are included in the sample space.

SSS

TTT

TST

TT

ST

TS

TSS

T

SST

STS

S

TTS

STT

SS

Answers

An experiment's or random trial's sample space is the set of all conceivable outcomes or results. The sample space for the given situation is {CC, AC, CA, AA}.

What is a sample space?

An experiment's or random trial's sample space is the set of all conceivable outcomes or results. Set notation is commonly used to represent a sample space, and the potential ordered outcomes, or sample points, are given as elements in the set.

For the given situation, Let Buying a classical ticket be represented by T, while buying an autograph event ticket is represented by S.

Therefore, The sample space for buying either a classic ticket T or an autograph event ticket S from the table = {TT, TS, ST, SS}.

Hence, the sample space for the given situation is {TT, TS, ST, SS}.

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Coach Jamison wants to celebrate the final win of the school’s softball season with a trio to the local fast food place. The team buys 26 delicious burritos and 27 orders of savory chips for $86.90. A few of the players are still hungry so the coach buys 14 more burritos and 9 more orders of chips for $40.70. If you don’t include tax, what is the price of a burrito and the price of an order of chips?

Answers

The price of Burritos is $ 2.2 and the price of savory chips is $1.1

What is system of equations ?

A system of equations is a set or collection of equations that you deal with all together at once.

Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.

The price of 26 delicious burritos and 27 orders of savory chips for $86.90

4 more burritos and 9 more orders of chips for $40.70

Let us consider the price of Burritos is x

and the price of savory chips is y

from the first statement we can form the equation

26*x +27*y = 86.9

and from the second statement we can form the equation

14*x + 9*y= 40.70

To determine the price of each we have to solve these system of equations.

On solving using elimination method

16x = 35.2

x = $2.2

and y = $1.1

Therefore the price of Burritos is $ 2.2 and the price of savory chips is $1.1.

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The price of Burritos is $ 2.2 and the price of savory chips is $1.1

What is system of equations ?

A system of equations is a set or collection of equations that you deal with all together at once.

The price of 26 delicious burritos and 27 orders of savory chips = $86.90

The price of 14 more burritos and 9 more orders of chips = $40.70

Let us consider the price of Burritos is x

and,  the price of savory chips is y

Now,

26x +27y = 86.9

and

14* + 9*= 40.70

On solving above two equation, we get

16x = 35.2

x = $2.2

and y = $1.1

Hence,  price of Burritos is $ 2.2 and the price of savory chips is $1.1.

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Solve for y when x = 5.
y = 3x + 4

Answers

Answer:

19

Step-by-step explanation:

Plug in

y = 3(5) + 4y = 19

please answer lol i need some help

Answers

I dont know the answer lol

Find the height of a cylinder with a volumeof 475pie cubic meteresand radius 5 meters

Answers

The height of the cylinder is 19 meters if the volume of 475pie cubic meters and the radius is 5 meters.

What is a cylinder?

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

We have a volume of the cylinder:

V = 475π cubic meter

The radius r = 5 meters

475π = π(5)²h

h = 19 meters

Thus, the height of the cylinder is 19 meters if the volume of 475pie cubic meters and the radius is 5 meters.

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Q1 write in words following the international and pakistani number system

A) 312695

B) 5469724

C) 4003240

Answers

Answer:

Step-by-step explanation:

a) International: Three hundred twelve thousand six hundred ninety five
   Pakistani: Three lakh twelve thousand six hundred ninety five

b) International: Five Million four hundred sixty nine seven hundred twenty four

   Pakistani: Fifty Four crore sixty nine thousand seven hundred twenty four

c) International: Four Million three thousand two hundred forty

   Pakistani: Fourty Lakh three thousand two hundred forty

Hope it Helps! Mark its as brainiest

What is the circumference of this circle, in millimeters? use startfraction 22 over 7 endfraction for pi. a circle with radius 49 millimeters. 154 308 484 968

Answers

The circumference of the circle with a radius of 49mm is 308mm

How to find the circumference of a circle?

The circumference of the circle is also known as its perimeter. The formula is expressed as:

C = 2pi r

r is the radius = 49mm

pi = 22/7

Substitute

C = 2 * 22/7 * 49
C = 2 * 22 * 7
C = 308mm

Hence the circumference of the circle with a radius of 49mm is 308mm

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Answer:

B

Step-by-step explanation:

Mrs. gellar works at a diner. at the end of

her shift, she was putting away pies in the

display case. there were 5 pies, and of 3/8

each pie left. what fraction of the pies did

mrs. gellar put away?

Answers

She put away 15/8 or 1 7/8 pies away

Which two expressions are equivalent?
O z
7 (6+z)
7.6+7.2
O
3 (9+y)
3.9+ y
O
t +(4.5)
(t + 4).5
X + 12 : 4
(4+12) = x

Answers

Answer:

First option

Step-by-step explanation:

The result of first expression:

7(6+z) multiply 7 with inside the parenthesis

7(6+z) = 42 + 7z

the result of second expression:

since we need to do multiplying first,

7*6 = 42 and 7*z = 7z

then we add them

42 + 7z this is the same result we found for the first equation

Yea solve equation by factoring
7x² - 39x + 17 = -3

Answers

Answer:

x = 4/7, 5

Please mark Brainliest :)

Answer:

x = 4/7 or x = 5

Step-by-step explanation:

Step 1: Add to 3 to both sides

[tex]7x^2-39x+17+3=-3+3[/tex] [tex]7x^2-39x+20=0[/tex]

Step 2: Factor by grouping

This equation is in the form ax² + bx + c = 0. Since there are no terms that multiply to 20 and add to -39, we have to find terms that multiply to a (7) * (20) and add to -39.

Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140-35 x -4 = 120, and -35 - 4 = -39. Thus, the two terms are -35 and -4.

Now, we split -39x into -35x and -4.

7x^2 - 35x - 4x + 20.(7x² - 35x) + (-4x + 20)

Next, we factor each expression in the parentheses. After that, we put the terms outside the parentheses together. Reminder, the terms inside the parentheses should be the same.

[tex]7x(x-5)-4(x-5)[/tex] [tex](7x-4)(x-5) = 0[/tex]

Step 3: Solve for x using 7x - 4 = 0 and x - 5 = 0.

[tex]7x-4=0[/tex] [tex]7x-4+4=0+4[/tex] [tex]7x=4[/tex] [tex]7x/7 = 4/7[/tex] [tex]x= 4/7[/tex]

or

[tex]x-5=0[/tex] [tex]x-5+5=0+5[/tex] [tex]x=5[/tex]
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