Four identical right triangles whose sides measure 5x, 12x, and 13x are arranged to form a small square inside a large square, as shown. The perimeter of the large square is 17 units. What is the perimeter of the small square? Explain.

Answers

Answer 1

Answer:

The perimeter of the small square is approximately 9.154 units

Step-by-step explanation:

The given parameters are;

The sides of the four identical right triangles = 5·x, 12·x, and 13·x,

The perimeter of the large square = 17 units

Therefore, we have;

The hypotenuse side of the right triangles = The longest side = 13·x

The sides of the large square are formed by the hypotenuse sides of the right triangle

Therefore, the perimeter of the large square = 4 × 13·x = 52·x = 17 units

x = 17/52 ≈ 0.3269

x ≈ 0.3269 units

The sides of the small square = The difference between the longer and the shorter of the two legs = 12·x - 5·x = 7·x

∴ The sides of the small square = 7·x = (7 ×  0.3269) units ≈ 2.2885 units

The perimeter of the small square = 4 × The sides of the small square

The perimeter of the small square ≈ (4 × 2.2885) units ≈ 9.154 units

The perimeter of the small square ≈ 9.154 units.


Related Questions

What are ALL the digits of pi??

Answers

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 .

Step-by-step explanation:

Find the perimeter of the figure below, composed of a rectangle and semicircle. Round to the nearest tenths place.

Answers

The perimeter of the given figure is 44.28 units.

Given that, from the figure length of a rectangle = 15 units, width of a rectangle = 4 units and the radius of a semicircle = 2 units.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Here, perimeter = Perimeter of a rectangle  + Circumference of a semicircle

= 2(15+4) + 2πr/2

= 2×19 + 3.14×2

= 38 + 6.28

= 44.28 units

Therefore, the perimeter of the given figure is 44.28 units.

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Read the problem. Tamir baked cookies for his mother's birthday. He mixed the cookie batter, scooped it into mounds on a cookie sheet, and then put the cookie sheet in the oven. After 20 minutes in the oven, 15 of the 20 cookies were fully baked. Shade the grid to show the fraction of the cookies that were fully baked after 20 minutes in the oven. What percent of the cookies were fully baked? You can use your model to help.

Answers

Answer:

Percentage baked= 75%

Step-by-step explanation:

Giving the following information:

After 20 minutes in the oven, 15 of the 20 cookies were fully baked.

First, the fraction of cookies baked:

Fraction of cookies= 15/20= 3/4

Now, to calculate the percentage, we need to use the following formula:

Percentage baked= (15/20)*100

Percentage baked= 75%

help plz i'll give braineys

Answers

Answer:

c. 2/3

Step-by-step explanation:

the value of the number marked on the number line is 4/6, which simplifies down to 2/3.

help me on this please it’s due at 11:59 and i have no idea what to do

Answers

1. One value of x for f(x)=-4 would be 0.
2. Should be 3.5 and -3.5 but I'm not sure


The equation y = 5.5x represents a proportional relationship What is the constant of proportionality?

Answers

The constant of proportionality is 5.5

Step-by-step explanation:

y = kx

k = constant of proportionality

y = 5.5x

Answer:

d

Step-by-step explanation:

2) Which of the following are opposite rays?
(picture attached)
A. JG and JN
B. JH and KJ
C. NJ and GJ

Answers

Answer:

A. JG and JN

Step-by-step explanation:

hope this helped :-)

HELP PLZZ BTW I NEED THE WORK so plz include it if you do I will mark you brainliest

Answers

Answer:

C

C

C

I hope this help

The answer is C hit helpp

What is the distance between the
two points
(7.8)
{3,2)

Answers

To find the exact difference, we have to subtract the two decimal points.

1. First, we'll subtract the whole number. Then, we'll subtract the decimal number. This will make mental math easier.

a. 7 - 3 = 4

b. 8 - 2 = 6

2. Add the answers together to get your final answer.

a. = 4.6

The exact distance between the two points is 4.6. If you can't figure this strategy out, do algorithm. The simplist way to solve this is to use a calculator, which I checked my answer on. Have a nice day! :)

the distance between the two points would be 4.6

Oscar has 30 pairs of sneakers. Of his sneakers, 8 pairs are white, 10 pairs are black, 10 pairs are blue and 2 pairs are blue. What percentage of Oscar's sneakers are black?

Answers

Answer: 33.33%

Step-by-step explanation:

Number of White sneakers = 8

Number of Black sneakers = 10

Number of Blue sneakers = 10

The percentage of Oscar's sneakers that are black will be:

= Number of black sneakers / Total sneakers × 100

= 10/30 × 100

= 33.33%

A zoologist is interested in whether climate affects how high kangaroos can jump. In a random sample of gray kangaroos from an Australian forest, he found the mean jump height was x¯=286 inches with a margin of error of 15 inches.

Answers

Complete question :

A zoologist is interested in whether climate affects how high kangaroos can jump. In a random sample of gray kangaroos from an Australian forest, he found the mean jump height was x¯=286 inches with a margin of error of 15 inches.

Construct a confidence interval for the mean jump height of gray kangaroos.

Answer:

(271, 301)

Step-by-step explanation:

Given that:

Mean (x¯) = 286

Margin of Error = 15 inches

The confidence interval :

(Mean - Margin of Error), (mean + margin of error)

(286 - 15), (286 + 15)

(271, 301)

Hence confidence interval equals : (271, 301)

Solve the equation 186+10x=25.5x to find how many diving lessons


__ lesson(s)

Answers

Answer: x=12

Steps shown in image below:

what is the proportion?

Answers

Answer:

a part, share, or number considered in comparative relation to a whole.

Step-by-step explanation:

i searched it up on google cause i'm dumb

A bag contains 5 red marbles, 3 blue marbles, 7 yellow marbles, and 2 green marbles. Which ratio can be used to compare the yellow marbles to the blue marbles?

Answers

Answer:

7:3

Step-by-step explanation:

The number of yellow marbles: the number of blue marbles

Answer:

7:3

Step-by-step explanation:

there are 7 yellow marbles and 3 blue marbles

A student says that if 5x4 = 20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer DIONE​

Answers

Answer:

disagree because x should equal one

x=1

Step-by-step explanation:

5x times 4 =20

divide both sides by 5 times 4

x=1

Melissa earns
as much in a day of babysitting as Bret does, and Breanna earns $20 more than Bret. If their total babysitting
earnings for one day is $245, how much does Melissa earn per day?

Answers

Answer:

$75

Step-by-step explanation:

let the amount melissa earn be X

and we know that Bret also earns X

than

Breanna earns = X+20

so

X+X+X+20 = 245

3X +20=245

3X= 245-20

3X= 225

X= 75

Rent is VERY expensive in Garden City, but after you graduate, you know you want to move into
your own apartment. You have been working the last 2 years and have saved $5,000. If rent is $750
a month, how many months could you pay full rent with your savings?

Answers

Answer:

70000

Step-by-step explanation:

Find a polynomial of lowest degree that has the indicated zeroes: 1+i, 1-i, 3

Answers

Answer:

-3i + (6 x 9)

Step-by-step explanation:

The zeroes of the polynomial are 1 + i, 1 – i, and 3. Then the polynomial of the lowest degree will be x³ – 5x² + 8x – 6.

What is polynomial?

A polynomial expression is an algebraic expression with variables and coefficients.

The zeroes of the polynomial will be 1 + i, 1 – i, and 3.

Then the factor of the polynomial will be (x – 1 – i), (x – 1 + i), and (x – 3).

Then the polynomial will be

(x – 1 – i)(x – 1 + i)(x – 3)

[(x – 1)² – i²](x – 3)

(x² – 2x + 2)(x – 3)

x³ – 2x² – 3x² + 2x + 6x – 6

x³ – 5x² + 8x – 6

More about the polynomial link is given below.

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I need help quick please ​

Answers

i think the answer is none

the square root of 72 is it closer to 8 or 9

Answers

8 because it is 8.48

Estimate by rounding both numbers to tens and then divide.
61 ÷ 29 is approximately

Answers

Answer:

2

Step-by-step explanation:

Round: 61 → 60Round: 29 → 30Divide: 60 ÷ 30 = 2

I hope this helps!

Question 1

Solve the equation formed when f (x) = g(x).

f (x) = 3x – 4
g(x) = -2x + 1

X = -4
X = -1
X = 1
X = 4

Answers

Answer:

X= -4

PLEASE MARK BRAINLIEST I ONLY NEED 1 MORE!!!!!!!!!!!!!!!!

CAN SOMEONE HELP PLS

Answers

Answer:

A

Step-by-step explanation:2^4*6^4=20736 which is equal to (2*6)^4

Answer:

A

Step-by-step explanation:

What is the trademark of a linear equation? WILL GIVE BRAINLIEST. Will report if answer is absurd

Answers

Answer: They can be represented in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Step-by-step explanation:

What’s it the slope of the line

Answers

Answer:

3/4

Step-by-step explanation:

the graph point starts at the y-intercept 1 and then moves 4 digits forward and 3 digit upward

Answer:

Since the slope doesn't go down we can safely ignore -3/4 and -4/3.

The slope goes up 3 and 4 to the right.

y = 3

x = 4

y/x

so the answer is 3/4

please help me with this ​

Answers

Answer:

y = [tex](x - 2)^{2}[/tex]

Step-by-step explanation:

the graph shows the vertex is (2,0); which means it is

y = [tex](x - 2)^{2}[/tex] which show 2 units to the right on the x-axis and staying at y=0

Solve and graph the following solutions to
the following inequality. SHOW ALL WORK.
3
- r < -15.

Answers

Answer:

1.she is not working and the iran.

jules loses a golf ball

Answers

Answer:

Ok. I'm sorry Jules lost a golf ball. Is there a question?

Answer:

jus buy a new one

Step-by-step explanation:

they lost the golf ball so they need to buy a new one cuh

Determine the intercepts of the line.
-4x + 7 = 2y - 3
y-intercept:
X-intercept:

Answers

Answer:

x=-1/2y , +3/4b, 7/4 this is the answer

The y-intercept is (0, 5) and the x-intercept is (2.5, 0).

What is an intercept of the straight line?

In the context of a straight line in a two-dimensional plane, an intercept refers to the point(s) where the line intersects with one or both of the coordinate axes (i.e., the x-axis and the y-axis).

To find the y-intercept, we set x = 0 and solve for y:

-4(0) + 7 = 2y - 3

7 = 2y - 3

2y = 10

y = 5

Therefore, the y-intercept is (0, 5).

To find the x-intercept, we set y = 0 and solve for x:

-4x + 7 = 2(0) - 3

-4x + 7 = -3

-4x = -10

x = 2.5

Therefore, the x-intercept is (2.5, 0).

To know more about an intercept follow

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ill give brainliest if it’s right

Answers

Answer:

Yes, the number is in scientific notation. Answer should be D.

Step-by-step explanation:

Answer:

yes thats correct.

For it to be in scientific notation the first part is a number between 1 and 10, and the second part is a power of ten

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