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

describe a real-world situation that models the multiplication expression 20(-1).

Answers

Basically you can write taking from something or using something 20 times. Here are three examples.

You borrowed 1 dollar from someone 20 times. You descend 1 meter at a time (like a submarine).There are 20 candies in the jar. Each day you eat 1 candy.

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution set of this problem?
a. (♾,-21)
b. (♾, -21)
c. (-21,♾)
d. (21,♾)​

Answers

Answer:

c

Step-by-step explanation:

i honetsly think

HELP For each triangle, find x and the measure of each side.
△FGH is an equilateral triangle with FG = x +5, GH = 3x – 9, and FH = 2x –2.
I DID ALGEBRA LAST YEAR HOW AM I SUPPOSED TO REMEMBER THIS AHHH

Answers

Answer:

5

Step-by-step explanation:

The ratio of girls to boys at soccer practice is 3:4. If on Saturday there will be a total of 42 players, how many boys will be playing and how many girls?

Answers

Answer:

[tex]Boys = 24[/tex]

[tex]Girls = 18[/tex]

Step-by-step explanation:

Given

[tex]G:B= 3:4[/tex]

[tex]Total = 42[/tex]

Required

Determine the number of boys and girls

We have to convert the ratio to fraction;

Number of girls can be calculated as:

[tex]Girls = \frac{G}{G + B} * Total[/tex]

[tex]Girls = \frac{3}{3 + 4} * 42[/tex]

[tex]Girls = \frac{3}{7} * 42[/tex]

[tex]Girls = 3 * 6[/tex]

[tex]Girls = 18[/tex]

[tex]Boys = Total - Girls[/tex]

[tex]Boys = 42 - 18[/tex]

[tex]Boys = 24[/tex]

pleaseeeeeeeeeee helppppppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!! im literaly using half of my points i have left !!1111

Answers

Answer: The  amount that they made together is 130,640 The amount that the agency made is 20,240

Step-by-step explanation:

A line passes through the points (4, 3) and (- 2, 1) . The slope of this line in simplest form is

Answers

Answer:

[tex]m=\frac{1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (4, 3)

Point (-2, 1)

Step 2: Find slope m

Substitute:                     [tex]m=\frac{1-3}{-2-4}[/tex]Subtract:                        [tex]m=\frac{-2}{-6}[/tex]Simplify:                         [tex]m=\frac{1}{3}[/tex]

Answer:

1, 1/2 2, 4/3

Step-by-step explanation:

If we graph each points. Slope = rise/run

1. U would go 1 up and go 2 to the right. Which equals 1/2 so it’s simplified

2. U would go 4 to the right side and 3 down. Which equals 4/3 u can put it in a decimal if u want or keep it 3/4 it’s fine.

The weight of an object on Earth varies directly as the weight of the same object on the moon. A 300 pound object on Earth would weigh 48 pounds on the moon. How much would a 75 pound object on Earth weigh on the moon? (Type your number answer. NO LABELS) *

Answers

Answer: 12 pounds.

Step-by-step explanation:

To solve this question, we'll use the direct proportion which is.

y = kx

Where,

y = weight on moon = 48 pounds

x = weight on Earth = 300 pounds

k = Unknown

y = kx

48 = 300k

k = 48/300

k = 0.16

The weight that a 75 pound object on Earth would weigh on the moon will be:

y = kx

where,

y = weight on moon = Unknown

k = 0.16

x = weight on Earth = 75 pounds

y = kx

y= 0.16 × 75

y = 12 pounds

The weight on the moon will be 12 pounds.

A recipe calls for a total of 3 and two-thirds cups flour and sugar. If the recipe calls for One-fourth cup of sugar, how much flour is needed?

Answers

Given:

A recipe calls for a total of 3 and two-thirds cups flour and sugar respectively.

To find:

The flour needed if the recipe calls for one-fourth cup of sugar.

Solution:

According to the question,

[tex]\dfrac{2}{3}[/tex] of sugar needs 3 cups of flour.

[tex]1[/tex] of sugar needs [tex]\dfrac{3}{2}\times 3[/tex] cups of flour.

[tex]\dfrac{1}{4}[/tex] of sugar needs [tex]\dfrac{1}{4}\times \dfrac{3}{2}\times 3[/tex] cups of flour.

Now,

[tex]\text{Required flour}=\dfrac{1}{4}\times \dfrac{3}{2}\times 3[/tex]

[tex]\text{Required flour}=\dfrac{9}{8}[/tex]

Therefore, the required flour is [tex]\dfrac{9}{8}[/tex] cups.

1 2/3 × 2 5/8 Give your answer as a mixed number in its simplest form.

Answers

Answer:

4 3/8

Step-by-step explanation:

hope this helps

I will mark you brainiest and I will gave you 100 points to answer the question correctly A point is chosen in the circle at random. Determine which of the statements are true. Check all that apply.
It is unlikely the point is in region A.
It is likely the point is in region C.
It is likely the point is in region G.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.
I try C,D,E but I got wrong.

Answers

Answer:

It is unlikely the point is in region A.

It is impossible for the point to be in region H.

It is certain that the point will land in a lettered region.

Step-by-step explanation:

Hope it helps!

Evaluating Expressions
Evaluate the expressions for the given value and match them with the simplified answer.
5 - x/3 for x = -3
2
- 2 + 2x/3 for x = 6
6
2 - 3x4 for x = 4
0
-3 + x/2 for x = 6
-1
() Intro
Done

Answers

1) 6
2) 2
3) -1
4) 0

+++

Evaluating the given expressions and simplifying the answers, we would have:

1. 6

2. 2

3. -1

4. 0

How do you Evaluate an Expression?

To evaluate an expression, plug in the value of the variable given and simplify.

Thus:

1. 5 - x/3 for x = -3

Substitute x = -3 into the expression

5 - (-3)/3 = 5 - (-1) = 6

2. - 2 + 2x/3 for x = 6

-2 + 2(6)/3

-2 + 4

= 2

3. 2 - 3x/4 for x = 4

2 - 3(4)/4

2 - 3

= -1

4. -3 + x/2 for x = 6

-3 + 6/2

-3 + 3

= 0

Therefore, evaluating the given expressions and simplifying the answers, we would have:

1. 6

2. 2

3. -1

4. 0

Learn more about evaluation of expression on:

https://brainly.com/question/3590570

If you have seen the user GOGETA10 please let me know. He is important to me

Answers

Answer:

sure

Step-by-step explanation:

Please HELP me!!!! I will mark as brainlist!!!

Answers

Answer:

4. CDB+DBE= CBE (55+35=90)

5. Definition of a right angle (90 degrees)

6. Linear pair postulate ( i think)

7. ABC and CBE are both 90 degrees

Step-by-step explanation:

Marcus and his family are planning a vacation that involves horse back riding. Horseshoe Ranch charges a $12.95 ranch entrance fee plus a $14.95 an hour to rent horses for horse back riding. Mary is going to rent a horse for 3 hours, how much will she spend?

Answers

Answer:

$57.8

Step-by-step explanation:

Horseshoe ranch charges $12.95 ranch entrance fee

$14.95 is paid per hour to rent the horse

Therefore since Mary is going to rent the horse for 3 hours then the total amount she will spend can be calculated as follows

= $12.95 + $14.95×3

= $12.95 + $44.85

=$57.8

Help me again!!!!!!

!!!!

Answers

The answer is D. $15a+$10c=$225

Answer:

D

Step-by-step explanation:

the part two shows that 20 tickets were purchased adult and child

adults were 15 dollars and added with the childs10 dollar tickets added togethor to get 225 dollars.

help please this is also do very very soon thank you!!!

Answers

Answer:

700

Step-by-step explanation:

100:2

???:14

14*100

=1400

1400/2

=700

Answer:

The answer is 650

Step-by-step explanation:

You need to find the slope.

i took the points (2, 100) and (4, 200)

Then i put it into the slope formula which is y2 - y1/ x2- x1

I got that the slope is 50. So every two hours 5o millmeters for water drops. So now at 12 hours on the graph it says 600 millimeters of wate has already dropped. The graph is at intervals of two. Now at the next point it will be 14. So just add 50 to 600 and you get 650. So at 14 hours 650 water should have dripped

pls mark brainlest

Matt wants to play in the sand pit, and then try the swings, the slide, and the seesaw, in that order. If the units on the coordinate plane are in yards, how many yards will Matt cover between the sandpit and the seesaw?

A.
12 yards
B.
15 yards
C.
18 yards
D.
25 yards
E.
29 yards

Answers

Answer:

it should be 12

i think :)

i hope im correct

Step-by-step explanation:

It should be 12
I think
Step-by-step-explanation
:D

Can someone help me

Answers

Answer:

x = 15°

Step-by-step explanation:

We know that a triangle totals up to 180° when you add together all the angles. Using that, we can then add up the two angles we already know and solve for x.

106° + 59° = 165°

180° - 165° = 15°

I need helppppp I forgot how to do this :(

Answers

a=associates / p=partners

1a= $800 / 1p= $1500

(6)a + (2)p = 800 x 6 + 1500 + 2 = $7800

(x)a + (y)p = $z

hope this helps :)

Find 20 rational numbers between 2/7 and 5/9.
pls ans. very much needed​

Answers

Answer:

0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4, 0.41, 0.42, 0.43, 0.44, 0,45, 0.46, 0.47, 0.48, 0.49, 0.5

Step-by-step explanation:

PLS GIVE BRAINLIEST

Find a number that is a solution of the inequality x < –8.

–5

0

–10

Answers

Answer:

-10

Step-by-step explanation:

hope this can help :)

Answer:

-10

Step-by-step explanation:

because 0 is greater than all the other numbers and -5 is closer to 0 than -10.

lol i literally just asked for help on a different problem, but this is a word problem and they always confuse me


problem:
My sister has three Maltese puppies. Scout weighs 8 1/3 pounds. Kenadi weighs 3 1/8 pounds, and Major weighs 8 1/5 pounds. What is the order of the puppy’s weights from least to greatest?

Answers

Answer:

D) 3 1/8, 8 1/5, 8 1/3

Step-by-step explanation:

The order of the puppies' weights from least to greatest is the following:

[tex]3\frac{1}{8} , 8\frac{1}{5}, 8\frac{1}{3}[/tex]

Three wholes are less than eight wholes, which means that the puppy named Kenadi weighs the least.

Scout and Major weigh a bit more than eight pounds. However, Major weighs less than Scout because one fifth is less than one third.

[tex]8\frac{1}{5} < 8\frac{1}{3}[/tex]

This is why the correct option is D.

Answer:

D

Step-by-step explanation:

plz help :(
1.Your brother and some of his friends, all under 12 years old, went to the movies. They paid $60 for their tickets. What equation could describe the situation?

2.Another family went to the movies. They bought some child tickets and some adult tickets and spent $96 altogether.
What equation could describe the situation?
How would the equation change if a child’s ticket cost $10?
How would the original equation change if the total price spent on the tickets were $156?

Answers

Answer:

1. 60=12y

60=5*12    y=5

2. a) 96=16x+12y

b) the 12y would be changed to 10y so, 96=16x+10y  

c)  156=16x+12y the number of tickets will change if the total price goes up

Step-by-step explanation:

x= adult tickets

y=child tickets

im not sure but i think is bAnswer:

Step-by-step explanation:

b

b

b

b

bbb

b

b

b

b

b

b

b

b

b

b

b

b

b

b

b

b

b

b

b

what is the value of X​

Answers

Answer:

x = 12

Step-by-step explanation:

the two equations shown should add up to 180. so I did this equation: (10x-20)+ (6x+8) = 180 and I solved for x

solve the equation
7x^2+21=0

Answers

Subtract 21 from both sides
7x^2=-21
Divide by seven on both sides
X^2=-3
Square root both sides

***X= square root of -3***
:)

you pay $175 for 5 football tickets. How much will you for each (1) ticket?

Answers

Answer:

Step-by-step explanation:

175 ÷ 5 = 35

$35 per ticket

Answer:

35

Step-by-step explanation:

It's cuz you want to know how much one ticket costs right?

Sp do 175 divded by 5

You should get 35 as the answer!

2 1/2 + 3 5/8

Add the fractions

Answers

Answer:

This equals 6 1/8

Step-by-step explanation:

Hope it helps!

Answer:

6 1/8

2 1/2 becomes 5/2 then you multiply the numerator and denominator by 4

after that it becomes 20/8 than you make 3 5/8 into 29/8 and add them together which makes 49/8 but when you simplify it becomes 6 1/8

HEELLPPP I WILL GIVE BRAINLIEST AND POINTS THANK YOU!!!This year, 450,000 animal lovers are expected to visit a zoo. By the end of February, only 0.064 of the expected number of visitors actually toured the zoo. How many visitors would have to come to the zoo in the months of March through December to fulfill the prediction for this year?
The correct answer is 421,200. How do I reach that answer?

Answers

450,000*0.064= 28,800

450,000-28800= 421,200.

12. The number of student athletes at a local high school is 300 and is increasing at a rate of
8% per year. What is the expected number of student athletes at the school in 5 years if
this rate continues?

Answers


300*.08= 24
300+24= 324
24*4= 96

324+96= 420

420 athletes are expected

the side lengths of a triangle are 6, 8 and 12 is this a right triangle

Answers

Answer:

No it is not a right triangle.

Step-by-step explanation:

We calculate the squares of the two littlest sides and add them :

6² + 8² = 36 + 64 = 100

We now calculate the square of the biggest side :

12² = 144

They are not equal, and thus, the triangle is not a right triangle.

Hope this helped! If so, plz mark brainliest.

Answer:

No, Because 6^2 + 8^2 = 12^2

Step-by-step explanation:

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