An equilateral triangle of side 20cm is inscribed in a circle. calculate the distance of a side of the triangle from the centre of a circle. ​

Answers

Answer 1

Answer:

5.76 cm

Step-by-step explanation:

When we have an equilateral triangle, we can deduce that radius of inscribed circle is ,

R = side * sqrt (3) / 6

Here, side is 20 cm.

And distance from center of inscribed circle to side of triangle is nothing but radius of inscribed circle.

So, R = 20 * sqrt (3) / 6 = 20 * 1.73 / 6 = 5.76 cm


Related Questions

Write an equation of the line that is parallel to the y-axis and goes through the point (-2, 5)

Answers

f it is parallel to the y-axis, it is a vertical line passing through (-2 ,5). The equation is just

x = -2

Solve.

−4.8x=−4

What is the solution to the equation?

Enter your answer as a simplified fraction in the box.

x =

Answers

-4.8x=-4

The simplified fraction is 5/6

How I solved it:

-4.8 = -24/5 in fraction form.

-24/5 × 5/6 = -120/30

-120/30= -4

Answer:

-4

Step-by-step explanation:

Who can help me on this? NEED OF HELP!

Answers

Answer:

25+25 = 50

sum means +

Integers are positive and negative numbers, no decimals or fractions though

6÷4(7+8)= 8-6(4+9)= 4÷8(9+3)=​

Answers

Answer:

6÷4(7+8) = 22,5

8-6(4+9)= 26

4÷8(9+3)= 6

Step-by-step explanation:

6÷4(7+8)= 6÷4(15)= 1,5 × 15= 22,5

8-6(4+9)= 8-6(13)= 2 × 13= 26

4÷8(9+3)= 4÷8(12)= 0,5 × 12= 6

The 13th arithmetic sequence of whose common difference is d=7 and first term is A1=3

Answers

Answer:

87

Step-by-step explanation:

difference = 7

A1 = 3

so let's imagine this arithmetic sequence as

3, 10, 17, 24 etc....

mathematically the sequence can be described as

An = a1 + (n - 1) d

A13 = 3 + (13 - 1) 7 = 3 + 12*7 = 87

4,268 ÷ 2 = n.

Find n.

A. 1,324

B. 1,234

C. 2,134

D. 2,314

Answers

Answer:

C.2,134

Step-by-step explanation:

4÷2=2

2÷2=1

6÷2=3

8÷2=4

Answer:

C

Step-by-step explanation:

Had that same question and I just guessed and got it right

PLSSS HELP THIS IS HARD ANYONE

Answers

Answer:

270 degrees counterclockwise rotation/ the last answer

Step-by-step explanation:

reflection over the y axis wouldn't work bc the shape would still be a horizontal rectangle

dilation would change the size of the shape

and translation wouldn't map it correctly bc it would still be turned the wrong way

Answer:

270 degrees counterclockwise rotation

Step-by-step explanation:

you can use the formulas, but if you don't know them you can always draw

270 degrees counterclockwise = 90 degrees clockwise

(x,y) -> (y,-x)

A'(1,-2) -> A(-2,-1)

B'(3,-2) -> B(-2,-3)

C'(3,-5) -> C(-5,-3)

D'(1,-5) -> D(-5,-1)

6. Is it possible to use the distributive
property to rewrite 85 + 99 as a product
of a whole number greater than 1 and a
sum of two whole numbers? Explain your
answer.

Answers

Answer:

No because they don't have any common factors.

Step-by-step explanation:

85 = 5 x 17

99 = 3 x 3 x 11

They don't have any common factors

If the only force acting on the player is gravity what is F in F=ma?

Answers

Answer:

  F is the force due to gravity

Step-by-step explanation:

F is the force resulting from gravity acting on the player whose mass is m. 'a' is the acceleration due to gravity, about 9.8 meters/second².

Solve for x. *

40
15
50
10

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The Angles marked there forms linear pair, and therefore they add up to be equal to 180°

That is ~

[tex] \sf2x + 30 + x = 180[/tex]

[tex] \sf3x + 30 = 180[/tex]

[tex] \sf3x = 180 - 30[/tex]

[tex] \sf x = 150 \div 3[/tex]

[tex] \sf x = 50 \degree[/tex]

Therefore, value of x is 50°

what is 1/8 divided by 2 3/4?A 1/32B 2 1/3C 1/22D 2 1/2

Answers

Answer: It is letter C. 1/22

Step-by-step explanation:

Change 2 3/4 to an improper fraction to get 11/4, then multiply 1/8 by the reciprocal of 11/4 which is 4/11.

1/8 x 4/11= 4/88

4/88 simplified = 1/22

Pam and Erin are both planting gardens for their backyards. They want their gardens to be proportional. If pams garden has a length of 16 feet and a width of 12 feet, what length does Erin need if the width of her garden is 21 feet?

Answers

Step-by-step explanation:

Pam and Erin want the gardens to be proportional.

proprtional- equal

Pams garden has a length of 16 and width of 12. To find the area of Pam's garden multiply the length by the width.

16×12= 192

Now that we know the area of Pam's garden, we can set up and equation for Erin's garden. Since they have to be equal we know that Erin's garden should equal 192. Thus we solve for the length by dividing the width from the total.

192÷21=9.14

write an equation in slope intercept form for the line that passes through the given point and is perpendicular to the graph of the equation

(4,2), y=1/2x+1

Answers

Answer:

y = -2x + 10

Step-by-step explanation:

Perpendicular slopes are negative reciprocals of each other.

So the given equation is y = 1/2x + 1 , the slope is 1/2. Therefore the perpendicular slope is -2.

Use slope-intercept form y = mx +b, substitute the slope = -2 and point (4, 2) into the slope-intercept form.  After that solve for b

y = mx + b

2 = -2(4) + b

2 = -8 + b

10 = b

The answer is y = -2x + 10

Write an equation of the line that passes through (0, 6) and is parallel to y=5x-3

Y=

Answers

Answer:The answer should be y = 5x + 6

Step-by-step explanation:

A line has a slope of 7 and includes the points (-5, a) and ( -6, 1). What is the value of a?​

Answers

Answer:

a = 8

Step-by-step explanation:

First find the equation of line using

y-y1=m(x-x1) --- m=slope = 7 and x1= -6 and y1= 1

y-1=7(x-(-6))

y-1=7x+42

y=7x+43

now let x be -5 to find y which is a

y=7(-5)+43

y=-35+43

y=8

so a = 8

Two trucks leave a warehouse at the same time, traveling in opposite directions. The rate of the faster truck exceeds that of the slower truck by 2 miles per hour. After 5 hours, they are 315 miles apart. What are the rates of the trucks?

Answers

Step-by-step explanation:

the slower truck travels x miles in 5 hours.

the faster truck travels x + 5×2 = x + 10 miles in 5 hours.

so,

x + x + 10 = 315 miles

2x = 305 miles

x = 152.5 miles (in 5 hours)

therefore, the slower truck's speed was 30.5 mph.

the faster truck's speed was 30.5 + 2 = 32.5 mph.


please help me i’m being timed!!!

Answers

Answer:

B

Step-by-step explanation:

The heaviest pig on the farm weighs 100 pounds

(Topic: Vectors) - Prove that ADE is a straight line

Answers

Answer:

Because the angle is a 180 degree angle.

Step-by-step explanation:

Answer:

If it looks straight, well then i would guess that it would be straight. You can also put it against a ruler and see if it matches up. if it does not then it is not a line.

Step-by-step explanation:

hope this helps

pls brainliest

Solve the system with elimination:
5x - y =1
10x + 3y = 7

Answers

Answer:

X = 2/5

y = 1

Is this what your looking for?

Step-by-step explanation:

Solve the system with elimination:
5x - y =1
10x + 3y = 7

Answer x= 1

The price,
P of tickets at a movie theater since it opened in 2001 can be modeled by the linear equation shown, where t is the number of years since 2001. P = 8.75 + 0.35t
What is the meaning of the P
-intercept in this scenario?


the price of a ticket in
2001
the price of a ticket in 2001

the increase in ticket price per year
the increase in ticket price per year

the total number of years the theater has been open
the total number of years the theater has been open

the difference in the price of a ticket in
2001
and the price in
2011

Answers

Answer:

B

Step-by-step explanation:

You have to look at the second term to be sure of the meaning of t - 15n

What the given term says is that the total number of tickets sold (p) will decrease by 15 times the number of increases that there are.

The other term says that the cost of 1 ticket will increase that each ticket will increase by 2 dollars for each change in the ticket prices providing that change is 2 dollars.

C is out of the question. The information talks about 2 dollars per increase which is the first term.

A is not quite correct. It implies there is exactly 1 ticket increase. The crorect answer is the ticket increases can be a number of times (n)

The answer is B

What is the solution to the 2nd degree equation below?x² + 2x + 4 = 0​

Answers

Answer:

x = (−2 ± √−12)/2

Step-by-step explanation:

Using the quadratic formula (search it up if you don't know what it is, but it's basically the first thing in the pic):

Help me please!! I don’t understand

Answers

Answer:

Step-by-step explanation:

Since 2012, the price of a school lunch at Westown High School has risen at a constant rate. In 2014, the price of a school lunch was $2.25. The price rose to $3.20 by 2019.
Complete the equation that describes the relationship between the price of a school lunch in dollars, P, and the elapsed time in years since 2012,
Write your answer using whole numbers or decimals rounded to the nearest hundredth.

Please help I don’t understand

Answers

Answer:

  P = 0.14t +2.25

Step-by-step explanation:

The statement that "the price of a school lunch ... has risen at a constant rate" is telling you that the price can be modeled by a linear equation. If P is the price, and t is years after 2012, you are given two points on the line:

  (t, P) = (0, 2.25) and (7, 3.20)

You can use these points to find the equation of the line in the usual way.

  m = (y2 -y1)/(x2 -x1) . . . . . . slope of a line through (x1, y1) and (x2, y2)

  m = (3.20 -2.25)/(7 -0) = 0.95/7 ≈ 0.14

The first point tells you the equation intercept, so the relationship between P and t is ...

  y = mx +b . . . . . . . m = slope; b = y-intercept. We're using (t, P) for (x, y).

  P = 0.14t +2.25

Select all expressions that show the distance between P and Q
DISCLAIMER THERE COULD BE MULTIPLE ANWSERS
A 5−(−8)
B 5+|−8|
C |−8+5|
D 5+(−8)

Answers

Answer:

A and B

Step-by-step explanation:

5-(-8) = 5+ 8= 13 (the distance between -8 and 5)

5+|-8| = 5 +8 = 13

2(5 - 8x) -13 = 9(1 - x) -12 ​

Answers

2 (5 - 8x) - 13 = 9 (1 - x) - 12

10 - 16x - 13 = 9 - 9x - 12

10 - 13 - 16x = 9 - 12 - 9x

- 3 - 16x = - 3 - 9x

- 3 + 3 = - 9x + 16x

0 = 7x

0/7 = x

0 = x

_____

Hope it helps ⚜

Answer:

x = 0

Step-by-step explanation:

2(5 - 8x) - 13 = 9(1 - x) -12 ​=> 10 - 16x - 13 = 9 - 9x - 12=> -3 - 16x = -3 - 9x=> 0 = 16x - 9x=> 0 = 7x => x = 0

Conclusion:

Therefore, the answer is 'x = 0'

!! Hoped this helped !!

[tex]BrainiacUser1357[/tex]

The points in the table lie on a line. Find the slope of the line.

Answers

5/2 or 2.5
Hope this helps!

what is 1/4+3/8+1/2+5/8+3/4+7/8+1+1 1/4

Answers

Answer:

5.625 which is 5 5/8.

Step-by-step explanation:

Please help
Is (6, 3) a solution to this system of inequalities?

x + 3y ≥ 15
10x + 3y > 3

Answers

Answer:

Graph both inequalities and see if the point lies in the overlapping shaded region.

Step-by-step explanation:

Which system of equations has no soulutions

Answers

A because it is touching the origin

Your bill at a restaurant is $68 and you want to leave a %20 tip what is the total amount you will leave

Answers

Answer:

$81.6

Step-by-step explanation:

You multiply 0.2 by 68, in which you will get 13.6, and then you add that to 68.

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