The sides of a right triangle form an arithmetic sequence with the difference d. Find the area of an inscribed circle in terms of d.

Answers

Answer 1

Answer:

The sides of a right triangle form an arithmetic sequence with the difference is described below in detail.

Step-by-step explanation:

Let's denominate the first term aa and the obvious difference dd. Therefore, your course enhances:

a, a+d, a+2da, a+d, a+2d

Now, these three terms form the sides of a right triangle. Since a+2da+2d is the highest (considering d > 0), we can state that it is the hypothenuse.

applying the Pythagorean Theorem:

a2+(a+d)2=(a+2d)2a2+(a+d)2=(a+2d)2

a2+a2+2ad+d2=a2+4ad+4d2a2+a2+2ad+d2=a2+4ad+4d2

3d2−a2+2ad=03d2−a2+2ad=0

(3d−a)(d+a)=0(3d−a)(d+a)=0

Therefore, your solutions are

3d=a3d=a

andd=−ad=−a

So if a = 3, d = 1. Therfore, one potential  sequence is 3, 4, 5.

Similarly, if a = 6, then d = 2, so another potential sequence is 6, 8, and 10


Related Questions

Can anyone help me with this?

Answers

Answer:

12/9 = 4/3 = 1 1/3

B is your answer

Answer:

B.)

YA HUR

GL :)

The dimensions of a square are 50 feet X
50 feet. Find the total area of the square.

Answers

Answer:

2500 square feet

Step-by-step explanation:

We know that the area of a square is = a*a

here a= 50 feet

area= 50*50

=2500 square feet.

Solve the proportion. 2b-1/3 = b-1/6

Answers

Answer:

b=1/6

Step-by-step explanation:

Solve for y. 5x+4=y pls

Answers

Y=0.8 in fraction 4/5

In a proportional relationship, y=2 when x=8. Which of the following equations would
describe this relationship?

Answers

Answer:

2. (1) [tex]30[/tex]

3. (1) [tex]y=\frac{1}{4}x[/tex]

4. a) [tex]y=x+6[/tex]   b) [tex]42[/tex]

Step-by-step explanation:

In a proportional relationship, y=2 when x=8, the following lines will show this relationship,

1.   y = 1/4x

2.  y = x - 6

4.  y =  1/2x - 2

What is the equation of line?

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

Given that,

The point,

x = 8 and  y = 2

We have to check all the given options,

1.   y = 1/4x

     y  = 1/4 × 8

     y  =  2

2.  y   = x - 6

         = 8 - 6

    y   =  2

3.  y   = 4x

         = 4 × 8

    y   = 32

4.  y   = 1/2x - 2

         = 1/2 × 8 - 2

         =  2

Hence, Option 1, 2, & 4 satisfies the given condition

To know more about Line check:

https://brainly.com/question/17188072

#SPJ5

WILL MARK YOU BRAINLIEST

Answers

Answer:

see in the picture, we have:

P is the midpoint of AB

Q is the midpoint of CD

=> PQ is the median line of the trapezoid ABCD

=> PQ = (BC + AD)/2 = (54 + 33)/2 = 43.5

find the measures of the numbered angles in rhombus defg. Anyone, please help I'm stuck!!

Answers

Answer:

The answer are

[tex]m < 1 = 27 \\ m < 2 = 27 \\ m < 3 = 90 \\ m < 4 = 27 \\ m < 5 = 63 \\ m < 6 = 63[/tex]

The area of the rectangle shown is 32x^2 + 12 If width can be represented by 4x, write an expression to represent the length of the rectangle

Answers

Answer:

L=(8x^2+3)/x

Step-by-step explanation:

The area of a rectangle is length time width.

A=LW

In this case,

A=32x^2+12

W=4x

Solve for L

L=A/W

Substitute

L=(32x^2+12)/4x

L=(8x^2+3)/x


Simple flying products and cautions of powers HELP PLZ

Answers

Answer:

m a t h  w a y

Step-by-step explanation:

Answer:

10 and 6

Step-by-step explanation:

Exponents multiplied ⇒ powers add up

Exponents divided ⇒ powers subtracted

a = 2 + 8 = 10b = 10 - 4 = 6

The sum of the ages of a boy and his mother is 48. If the mother is three more than twice the boy’s age, find the difference in the ages of the boy and his mother.

Answers

Answer:

18 years

Step-by-step explanation:

let the boy's age my x and mother's age be y

x+y=48

y=3+2x which can also be written as 2x-y=-3

on solving both the equations,

you will get x=15 and y=33

so son's age is 15 years and mom's age is 33 years and the difference between their ages is 18

The local newspaper has letters to the editor from 80 people. If this number represents 5 ​% of all of the​ newspaper's readers, how many readers does the newspaper​ have?

Answers

Answer:

The newspaper has 1,600 readers.

X – 3 > 2?
Inequality

Answers

X>5

Just add the three to the other side

Hope this helped ya

Which equation represents a nonlinear function?
O A. 7x - 3y = 0
O B. X = 12y - 4
O C. 9xy = 19
O D. X + 7 = 0

Answers

I think the answer is B because that is the only answer that could make sense.

Use the information given in the figure to find the length RT.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
R
117
53
28
T
HELP LOLL

Answers

Answer:

RT=108

Step-by-step explanation:

Consider ΔQST:

Use pythagorus's theorem.

a²=b²+c²

QS²=QT²+ST²

53²=QT²+28²

2809-784=QT²

QT=√2025=45

Consider ΔQRT:

Use pythagorus's theorem.

a²=b²+c²

QR²=QT²+RT²

117²=45²+RT²

13689-2025=RT²

RT=√11664=108

457Δ is a 4-digit number with one of its digits represented by Δ. 457Δ is divisible by 3. Which of these is also a number divisible by 3?

Answers

Answer:

by divisibility rule of 3 for a no. to be divisible by 3 there is necessary condition that sum of all digit is divisible by 3.

so ans is 2 (smallest digit)

H E L P M E P L E A S E

Answers

Answer:

B: 56 ounces no hate If I am wrong :)

It’s 56 because you have two 8 ounce servings in one pound. Every pound is 2 8 ounce servings so you would multiply 28 by 2 to get y r answer. 56

the base of a triangular field is 22m. The area of the field is 550m2 . find the height​

Answers

Step-by-step explanation:

Area of triangular prism =1/2 ×base×height

550=1/2×22×h

h=550/11

h=50m

hope it helps.

Answer:

height = 50 m

Step-by-step explanation:

Area of a triangle = 1/2* base * height

550 = 1/2 * 22 * height

550 = 11 * height

therefore, 550/11 = height

therefore, height = 50 metres

find value of x below.​

Answers

9514 1404 393

Answer:

  11.2

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relation:

  Cos = Adjacent/Hypotenuse

  cos(37°) = x/14

  x = 14·cos(37°) ≈ 11.1809

The value of x is about 11.2.

The perimeter of a square is represented by the expression 4x + 12y + 2z What is the length of one side? *

Answers

Answer:

x + 3y + 1/2z

(4x + 12y + 2z)/4         <----- Divide the whole expression by 4

I need help this due today

Answers

Answer:

Step-by-step explanation:

Answer:

oh my friend can answer this ill send her this page!

Step-by-step explanation:

given the equation of y=1/4x, write an equation of a line that is steeper than the given line

Answers

Answer:

it is b

Step-by-step explanation    i said so

The cost of a house is 13% in one year. The original price was 75,000. Find the cost of one year later

Answers

Answer:

The cost of the house after one year = 84,750 rupees

Step-by-step explanation:

Explanation:-

Given that the cost of house = 13% in one year

Given that the house original price = 75000

We have to find that the house cost after one year

Solution:-

The cost of a house increase 13% per year

                        = 75000 X 0.13

                       = 9750

The total cost = 75000+9750

                      = 84,750 rupees

Final answer:-

The cost of the house after one year = 84,750 rupees

Pleaseee helpp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

5

Step-by-step explanation:

√(-4+9)^2+(6-6)^2

√25+0

=5

$125 headphones, 20% discount

Answers

the answer is

$125 multiply by 20/100 = $25

so now u can $125- $25 = $100

Answer:

The resulting price would be $100

Step-by-step explanation:

Subtract the percentage value from the original one

125 - 20%

125 - 125(0.2)

100

Can someone please help me outt

Answers

Answer:

ASA

Step-by-step explanation:

We can see that the triangle has at least one similar side and one similar angle. We can also see that the triangles meet at a point, so they must have the same angle at that point where they connect. So that leads us to our answer being ASA since they have two similar angles and one similar side. This is the answer that I think is correct just by looking at the image. I haven't take this class since last year, so this is simply from memory. Correct me if I am wrong!

6x244 by showing answer

Answers

Answer:

1464

Step-by-step explanation:

do:

200x6

40x6

4x6

then add them

[tex]y=-4/3x+4[/tex]

Answers

x= 3 :)) I hope the answer helped
Slope: -4/3
Y-intercept: 4
X-intercept: 3

PLEASE HELPPPPPPPPPP!!!!

Answers

I would like to help but I can’t see the picture for some reason

Answer:

x= 20, y=95

Step-by-step explanation:

If you see the x angle, it makes 90 degree, and the straight line divides that angle into two. So by that;

x+25=45

x=20

Now if you add up all the angles on the straight line, it makes 180 degree,

by that,

x+25+y+40=180 (straight lines' angle=180 degree)

we now know that x=20, so now by adding that value, we get

20+25+y+40=180

y=180-40-25-20

y=180-85

y=95.

Hope This Helps.

Help for Financial algebra problem!
Close up on the fractions:
7/e - 1/2 =5/e

Answers

The solution is E=4. Hope this helps.
The anwser is 4 , okey

Simplify y + y + y to produce an equivalent expression:

Answers

Answer:

y + y+ y is 3y

Step-by-step explanation:

3y
Add the amount of y’s
Also add the variable which is y.
y + y + y = 3y
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