A triangle has two 13-cm sides and a 10-cm side. The largest circle that fits inside this triangle meets each side at a point of tangency. These points of tangency divide the sides of the triangle into segments of what lengths? What is the radius of the circle?

Answers

Answer 1

Answer:

[tex]r=3.33 cm[/tex]

[tex]d_{a}=5 cm[/tex]

Step-by-step explanation:

Let's use the radius equation to a circle inscribed into a triangle.

[tex]r=\sqrt{\frac{(s-a)(s-b)(s-c)}{s}}[/tex]

[tex]s=\frac{a+b+c}{2}[/tex]

In our case a = 13 mc, b = 13 cm  and c = 10 cm

Then, s will be s = 18 cm

Then the radius will be:

[tex]r=\sqrt{\frac{(18-13)(18-13)(18-10)}{18}}=3.33 cm[/tex]

Now, the distance from the vertex to the nearest touchpont is given by:

[tex]d_{a}=\frac{1}{2}(a+c-b)=5[/tex]

This value is the same for each side.

I hope it helps you!


Related Questions

PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!

Answers

Answer:

61

Step-by-step explanation:

because they already have 61 dollars

Do this worksheets if someone do I will make him or her brainly if correct.

Answers

Answer:

[tex]1) \frac{37.5}{100} [/tex]

[tex]2) \frac{9}{40} \times 100 = 22.5 \% [/tex]

[tex]3) \frac{7}{10} \times 100 = 70\%[/tex]

[tex]4) \frac{7}{8} \times 100 = 87.5\%[/tex]

[tex]5) \frac{12}{25} \times 100 = 48\%[/tex]

every year 39 million card cross the Golden Gate Bridge in San Francisco. Which kind of function best models the relationship between time and the cumulative number of cars that have crossed the Golden Gate Bride?

Answers

Answer:

Linear Function

Im serious this time is it appropriate to use a old notebook for a new class in highschool?
Specifically math cuz they made us get big five subject notebooks and we haven't even filled half of it and the years almost over I thought about reusing it for next year's math class

Answers

Answer:

Of course it is!

Step-by-step explanation:

You might want to have a separator, so you know what page your new year textbook starts. I hope this is a food tip to save money!

Please help

Point____is plotted at -4/5​

Answers

Answer:

C

Step-by-step explanation:

-4/5 is -0.8, which is at point C

plz brainliestt

Answer: C

Step-by-step explanation:

Point A is 4/5

Point B is -2/5

Point C is -4/5

Point D -1 4/5

Point D is


How do I solve this

Answers

Answer:

Step-by-step explanation:

I'm sorry forgot how to exactly solve it

HELP FAST PLS-
10 is what percent of 118?
PLEASE SHOW ALL YOUR WORK

Answers

Answer:

10 is ≈8.47% of 118

Step-by-step

(10/118)(100)

The diagram shows information about the final 70 seconds of a car journey. (a) Find the deceleration of the car between 60 and 70 seconds.

Answers

I have attached an image showing the diagram.

Answer:

-2 m/s²

Step-by-step explanation:

From the diagram, in decelerating from between 60 to 70 seconds, it moved from a velocity of 20 m/s to 0 m/s.

Thus, using Newton's first equation of motion, we can find the deceleration;

a = (v - u)/t

Time (t) = 70 - 60 = 10 s

Final velocity (v) = 0 m/s

Initial velocity (u) = 20 m/s

Thus;

a = (0 - 20)/10

a = -20/10

a = -2 m/s²

A 24-foot ladder leaning against a wall makes a 30 ° angle with the ground . How high up on the building is the top of the ladder ?
HELP ASAP

Answers

Answer:

[tex]12\:\mathrm{ft}[/tex]

Step-by-step explanation:

When the ladder is leaning against the wall, a 30-60-90 triangle is formed. The ladder acts as a 24-foot hypotenuse. Because the height is facing the [tex]30^{\circ}[/tex] angle, the height is half the hypotenuse (30-60-90 rules). If you forget the side rules for a 30-60-90 triangle, simply use basic trig on the right triangle:

[tex]\sin 30^{\circ}=\frac{h}{24},\\h=24\sin 30^{\circ},\\h=24\cdot \frac{1}{2},\\h=\fbox{$12\:\mathrm{ft}$}[/tex].

1. 3х – 4 y = 24 : (0, ) ( ,0)​

Answers

the points are (0,-6) (8,0)

I really need help I posted this question 3 times and no answers, can someone help I even put extra points and ill give brainliest <333

Answers

Answer:

In a quadrilateral ABCD, ∠A = 100°, ∠B = 105° and ∠C = 70°, find ∠D.

Solution:

Here the sum of the four angles

or, ∠A + ∠B + ∠C + ∠D = 360°

We know, ∠A = 100°, ∠B = 105° and ∠C = 70°

or, 100° + 105° + 70° + ∠D = 360°

or, 275° + ∠D = 360°

∠D = 360° - 275°

Therefore,  = 85°

i hope this was helpful. <3

crown?

You weigh a gallon of liquid in science class and learn that it is approximately 7.7 pounds. You pass the liquid to the next group, and then realize that your teacher wanted an answer in kilograms, not pounds. Complete the explanation of how you can adjust your answer without weighing the liquid again. Then give the weight in kilograms. If necessary, round your answer to the nearest tenth.


only right anwres

Answers

Answer:

7.7 pounds = 3.5 kilograms

Step-by-step explanation:

Given that,

Weight of a gallon of liquid = 7.7 pounds

We need to find weight in kilograms.

We must know the relation between pounds and kilograms and it is as follows :

1 kilogram = 2.20 pounds

or

1 pounds = (1/2.2) kilograms

7.7 pounds = (7.7/2.2) kilograms

= 3.5 kilograms

Hence, 7.7 pounds is equal to 3.5 kilograms.

Round 992 to the nearest ten

Answers

It will be 990 hope this helps

Answer:

990

Step-by-step explanation:

990

2 is lower than 5 so we round down. Instead of rounding up to 1, round down to 0

Simplify by combining like terms.
4 1/3 B + 2 3/4 B + 1
Remember to simplify the mixed number!
Enter the number that goes in the green box.

Answers

85/12b +1 is the answer

The ratio of men to women working for a company is 4 to 7. If there are 231 employees TOTAL, how many WOMEN work for the company?

Answers

Answer:

Step-by-step explanation:

4:7::4x:7x

4x+7x=231

11x=231

x=231/11=21

women=7x=7×21=147

Pls help extra points and mark brainlist easy reading

Answers

Answer: the second one

Step-by-step explanation:

Solve for x.
ASAP, please help me

Answers

Answer:

8

Step-by-step explanation:

180=90+40+6x+2

180=132+6x

48=6x

x=8

Answer:

x=4 i think havent done this in a long time

Step-by-step explanation:

I need help with math pls

Answers

The answer is 6

Explanation:

solve for the y-intercept. Show your work! Then list the slope-intercept form of the line (-15,-17) (14,10)

Answers

Answer:

The line is y = 27/29x - 88/29The y-intercept is (0, -88/29)

Step-by-step explanation:

Given point:

(-15,-17), (14,10)

Slope-intercept form:

y = mx + b

Use slope formula:

m = (y₂ - y₁)/(x₂ - x₁)m = (10 - (-17))/(14 - (-15)) = 27/29

Use one of the points to find the y-intercept:

y = 27/29x + b10 = 27/29*14 + bb = (29*10 - 27*14)/29b = -88 /29

The line is:

y = 27/29x - 88/29

Answer:

slope for y intercept={10--17)/(14--15)=27/29

3 2/3 divide 1 2/7 in simplest form

Answers

Answer:

2 23/27

Step-by-step explanation:

3 2/3 / 1 2/7

= 11/3 / 1 2/7

= 11/3 / 9/7

= 77/27

= 2 23/27

Hope it helped!

what the other person said

Answer:

2 23/27

Step-by-step explanation:

3 2/3 / 1 2/7

= 11/3 / 1 2/7

= 11/3 / 9/7

= 77/27

= 2 23/27

5k + (-7) = 13 what does k =

Answers

Answer:

k = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

5k + (-7) = 13

Step 2: Solve for k

Simplify equation:                             5k - 7 = 13Addition Property of Equality:          5k - 7 + 7 = 13 + 7Simplify equation:                             5k = 20Division Property of Equality:           5k/5 = 20/5Simplify equation:                             k = 4

Step 3: Check

Plug in k into the original equation to verify it's a solution.

Substitute in k:                    5(4) + (-7) = 13Multiply:                               20 + (-7) = 13Add:                                     13 = 13

Here we see that 13 does indeed equal 13.

∴ k = 4 is the solution to the equation.

Answer:

Step-by-step explanation:

Here you go mate

PEMDAS

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Step 1

5k+(-7)=13  Equation/Question

Step 2

5k+(-7)=13  Remove parenthesis

5k=20

Step 3

5k=20  Divide 5 from the sides             Check (5)(4)=20

answer

4

if you have 1.234545 davidi by 50=

Answers

0.0246909 hope this helps love ❤️

Answer:

The answer is 0.02469090

Step-by-step explanation:

1.234545÷50=0.02469090

Hope this helps you.

9-5(x+4)=3(2-x) plz help im so bad at math

Answers

9 × x = 9x

-5 × x = -5x

9 × 4 = 36

-5 × 4 = -20

3 × 2 = 6

3 × -x = -3x

9x - 5x + 36 - 20 = 6 - 3x

4x + 16 = 6 - 3x

4x - 3x = - 16 + 6

x = - 10

: )

This was my answer hope I helped ;)

when a metallic ball bearing is placed inside a cylindrical container of radius 2 cm the height of the water inside the container increased by 0.6 CM the radius is it to the nearest teeth of the centre of the ball bearing is​

Answers

Answer: do 2 x 0.6

Step-by-step explanation:

there y go

help asap:)! i will give brainliest

Answers

I think the answer is 2/3

2/3 is the correct answer

If Log 20 = 1.301 what is the value of Logsub100 20?

I need the step by steps! I can’t find anything videos online to teach this to me

Answers

Answer:

[tex]log_{100}20 = 0.6505[/tex]

Step-by-step explanation:

log20 = 1.301 (when you see only "log" with no base, it is taken as a base 10)

This basically means:

[tex]10^{1.301} = 20[/tex]  (This is the log in exponential form)

Since we don't know what  [tex]log_{100}20[/tex]  is equal to, we will say  [tex]log_{100}20[/tex] = x

So to solve for [tex]log_{100}20[/tex] = x, you do the same thing. (convert to exponential form)

[tex]100^{x} =20[/tex]

Now you will notice that both of these equations are equal to 20.

Since 20 = 20,

we can say [tex]100^{x}[/tex] = [tex]10^{1.301}[/tex]

Another way of saying 100, is [tex]10^{2}[/tex] (make the bases the same)

Now we get [tex]10^{2x} = 10^{1.301}[/tex]      

(we get 2x because an exponent to the power of an exponent ([tex]2^{x}[/tex]) is the same as 2 * x)

Because you have the same base, you can just ignore the 10s and focus on the exponents. So you get:

2x = 1.301

x = 0.6505

fahimahash is wanted for using bad subject bounty 50 points for the account deleted

Answers

Ok thx for letting everyone know

4a + 3 2y 5a 7 + 4y
Need to simplify

Answers

Answer:

it is 9a+6y+10

Step-by-step explanation:

Answer:

9a+10+6y

Step-by-step explanation:

difference between -20 and -17

Answers

Answer:

-3

Step-by-step explanation:

because it says difference and differences means subtract so -20-(-17)=-3

the difference is -3

Kayla went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $20, but the price with tax came to $21.80. Find the percent sales tax.

Answers

Hello!

[tex]\large\boxed{9 \%}[/tex]

To find the percent tax, use the equation:

[tex]\text{ \% tax} = \frac{\text{ price after - initial price}}{\text{initial price}}[/tex]

Substitute in the given values:

[tex]\text{ \% tax} = \frac{\text{ 21.80 - 20}}{\text{20}} \\\\\text{ \% tax} = \frac{1.80}{20} = 0.09[/tex]

Multiply by 100 to find the percent tax:

[tex]0.09 * 100 = 9\%[/tex]

Answer: Its 9%

Step-by-step explanation:

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