What total length of ribbon is needed to Line the two long sides of the hat?

What Total Length Of Ribbon Is Needed To Line The Two Long Sides Of The Hat?

Answers

Answer 1

Answer:

Total length of ribbon to line the long sides will be 22 in

Step-by-step explanation:

In the given figure of kite if we draw a line "h" vertically will form two right angle triangles.

Then by applying Pythagoras theorem in both the triangles.

h²= (3x + 5)² + (2x + 1)² ------(1)

h²= (5x + 1)² + 5² ------(2)

By equating both the equations

(3x + 5)² + (2x + 1)² = (5x + 1)² + 25

9x² + 25 + 30x + 4x² + 4x + 1 = 25x² + 10x + 1 + 25

13x² + 34x + 26 = 25x² + 10x + 26

13x² - 25x² + 34x - 10x + 26 - 26 = 0

- 12x² + 24x = 0

12x² - 24x = 0

x² - 2x = 0

x(x - 2) = 0

x = 2

Now we will put x = 2 in the measure of sides of the kite.

Side 1 = (3x + 5)

          = 3×2 + 5

          = 11

Side 2 = (5x + 1)

          = 5×2 + 1

          = 11

Side 3 = (2x + 1)

          = 2×2 + 1

          = 5

Therefore, Total length of ribbon to line the long sides will be = 11 + 11

= 22 in.

Answer 2

Your answer will be D-22.


Related Questions

can anyone help me with 15a b c

Answers

a. The independent variable is r. The dependent variable is m.

b. The domain is the set of numbers used in the independent variable. You can rent 0 videos, or 1 video, or 2 videos, etc., up to the amount of money you have. If you rent 0 videos, you are left with m = 30 - 3r = 30 - 3(0) = 30 - 0 = 30 dollars. If you rent 10 videos, you will have m = 30 - 3(10) = 30 - 30 = 0 dollars left. The domain is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. The range is {0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30}. Both the domain and range are discrete.

c. I can't do it online.

The graph of a linear function is shown which word describes the slope of the line the choices and graph is below

Answers

The graph is negative because it goes down to the right, meaning that it is decreasing. I hooe this helps!
Answer

negative

Explanation

Let's find the slope of our line using the slope formula:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

where

[tex]m[/tex] is the slope of the line

[tex](x_{1},y_{1})[/tex] are the coordinates of the first point on the line

[tex](x_{2},y_{2})[/tex] are the coordinates of the second point

From the graph we can get the points (-2, 1) and (2, -1), so [tex]x_{1}=-2[/tex], [tex]y_{1}=1[/tex], [tex]x_{2}=2[/tex], and [tex]y_{2}=-1[/tex]. Let's replace the values in our formula to find [tex]m[/tex]:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m=\frac{-1-1}{2-(-2)}[/tex]

[tex]m=\frac{-2}{2+2}[/tex]

[tex]m=\frac{-2}{4}[/tex]

[tex]m=-\frac{2}{4}[/tex]

[tex]m=-\frac{1}{2}[/tex]

The slope of the graph of the linear function is [tex]-\frac{1}{2}[/tex]; since [tex]-\frac{1}{2}[/tex] is a negative number, the slope of the graph is negative.

The number of girls who work at Super shopper is 2 more than 3 times the number of boys. If 30 boys work at super shopper; how many girls work there?

***Please Help Me***

Answers

i think its 92 but im not entirely sure. hope it helps though
Answer:

The number of girls who work there are:

                              92

Step-by-step explanation:

It is given that:

The number of girls who work at Super shopper is 2 more than 3 times the number of boys.

This means that:

If the number of boys= x

Then the number of girls= 3x+2

If 30 boys work at super shopper.

i.e. x=30

Then 3x+2=92

Hence, the number of girls who work there are: 92

12 r - 18 = 13 r + 18

Answers

First you want to isolate the variable, do this by adding 18 to both sides. You're left with 12r = 13r + 36, then subtract 13r to get the variables alone. You're then left with -1r = 36, multiply by -1 to remove the negative. The final result would be (1) r = 36.

The solution of expresison is, r = - 38

We have to give that,

An expression to simplify,

12r - 18 = 13r + 18

Now, We can simplify the expression as,

12r - 18 = 13r + 18

Subtract 12r on both sides,

12r - 18 - 12r = 13r - 12r + 18

- 18 = r + 18

Subtract 18 on both sides,

- 18 - 18 = r

r = - 36

Therefore, The solution is, r = - 36

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Question1, shop A normal price £85 1/3 off and shop B normal price £80 30% off
Question2, in a sale all items are reduced by 30% on the final day the sale price are reduced by 20% work out the final day price of a sofa that was priced at £290 before the sale started

Answers

#1 shop A would be cheaper

each troop of 33 girl scouts eats 11 pounds of cereal a week . if there are 90 girl scouts at a scout camp how many pounds of cereal should be purchased

Answers

the answer is
[tex]90 \times 11 = 990[/tex]
pounds of cereal

Answer:

990 pounds

Step-by-step explanation:

If one troop eats 11 pounds and there are 90 troops, you only need to multiply 90 by 11.

solve the simultaneous equations
3x + 4y = 5
2x - 3y = 9

Answers

We label each equation

3x + 4y = 5 (1)

2x – 3y = 9 (2)

We now want to get rid of one of the variables (x or y). Lets get rid of x:

We need (1) and (2) to have the same number of x's so we multiple (1) by 2 and (2) by 3 so they both have 6 x's

6x + 8y = 10 (1)*2

6x - 9y = 27 (2)*3

Now to get rid of the x's we take one of the equations from the other. It is easier to do (2)*3 -(1)*2

 6x - 9y = 27 (2)*3

6x + 8y = 10 (1)*2

                                   

    -17y = 17  

If we devide this equation by -17 we get

y = -1

We can plug this value of y into (1) to get

3x -4 = 5

add 4 to both sides of the equation

3x = 9

Divide by 3

x = 3

Now to check put x and y into (2)

6 - (-3) = 9  

As this is true, we have the solution

x = 3, y = -1

what property does this demonstrate -1/4 = -0.25 then -0.25 = -1/4

A: Reflexive property
B: symmetric property
C: associative property
D: transitive property

Answers

Answer: B: symmetric property

Reflexive property  states that for every real number x, x = x.

symmetric property states that for all real numbers x and y, if x = y then y = x.

associative property states that you can add or multiply regardless of how the numbers are grouped. =(like adding/multiplying like terms.

Transitive property states that for all real numbers x,y, and z, if x = y and y = z then x = z.

Final answer:

The equation -1/4 = -0.25 then -0.25 = -1/4 demonstrates the Symmetric Property of equality, which means order does not matter in an equation for it to be true.

Explanation:

The equation you provided, -1/4 = -0.25 then -0.25 = -1/4, demonstrates the Symmetric Property of equality.

This property essentially says if a = b, then b = a. It shows that order does not matter in an equation; the elements can be flip-flopped, and the equality will still hold true. In your case, -1/4 = -0.25, and if you switch the order, -0.25 = -1/4, the equation still stays true. That's why we say it shows the symmetric property.

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what is the formula for finding circumference

Answers

C=2 πr which is the formula for circumference


Circumference = 2• pie•Radius

How many times does 9 go into 260

Answers

9 goes into 260, 28.8 repeating times. hope this helps!

28.8 is your answer.

2k+10 show all the steps

Answers

Hello!

Explanation:

↓↓↓↓↓↓↓↓↓↓

First, rewrite 10 as 2*5

[tex]2k+2*5[/tex]

Then, factor out common term 2.

[tex]=2(k+5)[/tex]

Answer⇒⇒⇒⇒2(k+5)

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

Find the rate of change for the situation. A Chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken 68 people

Answers

the answer is: for every 4 people its 1 lbs

Answer:

The rate of change is of 0.25 lbs / person

Step-by-step explanation:

According to my research the formula for the Rate of Change is the following

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

In this situation we can use y for lbs and x for people. Since all the information was given to us in the question we can just plug the values into the formula above and solve for the rate of change.

[tex]\frac{17lbs-9lbs}{68-36} = \frac{8lbs}{32people} = 0.25lbs/person[/tex]

So we can see that the rate of change is of 0.25 lbs / person

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Solve for x. -3x = -15 x = -5 x = 5 x = -45

Answers

-3x = -15      divide both sides by (-3)

-3x:(-3)=-15:(-3)

x = 5

Answer:

The answer is b, 5

Step-by-step explanation:

-3x = -15

(it sometimes helps to flip it, so that's what I'm going to do here to help it to make more sense)

x(-3) = -15

x(-3) devided by (-3) = -15 devided by (-3)

when you devide a negitive by a negative the answer will be positive

the absolute value of 15 devided by three is 5

your answer is a positive five, or just 5


I need help with these .help me plz

Answers

Answer:

The answer to your question would be Area = 280.13

Step-by-step explanation:

Area of the circle without the square: 380.13

Area of the square: 100

380.13 - 100 = 280.13


An article fills 5/8 of a magizine page. A related photo takes up 1/4 of the article. how much of the page is taken up by the photo?

Answers

the photo takes up 2/8 of the page

Which ordered pair represents the solution to the system of linear equations?

Answers

(2,3)

(x,y)

x=2

y=3

This is because both lines meet at this direct point on the graph.

Answer:

Yes, the lines will intersect because the slopes are different. Also, both lines have a y-intercept of -7, so they both include the point (0, –7).

Step-by-step explanation:

1. Direct variation

A. Write an equation for the following statements.
B. Write an equation when y varies directly as x.
1. y=63 when x=9
2. y=121 when x=11
3. y=36 when x=4
4. y=224 when x=8

Answers

(1) y = 7x , (2) y = 11x , (3) y = 9x , (4) y = 28x

given y varies directly as x then y = kx ( k is the constant of variation )

(1) find k using the given conditions k = [tex]\frac{y}{x}[/tex] = [tex]\frac{63}{9}[/tex] = 7

equation is y = 7x

(2) k = [tex]\frac{121}{11}[/tex] = 11

equation is y = 11x

(3) k = [tex]\frac{36}{4}[/tex] = 9

equation is y = 9x

(4) k = [tex]\frac{224}{8}[/tex] = 28

equation is y = 28x


Simplify the expression (7+47+3)[5×(2×3)]. Use properties to judtify eachstep.

Answers

add the numbers in the first parenthesis and multiply the numbers in the second:

( 7 + 47 + 3 ) [ 5 ( 2 × 3 ) ] = ( 57 ) [ 5 ( 6 ) ]

multiply the 5 and 6:

( 57 ) [ 5 ( 6 ) ] = ( 57 ) ( 30 )

multiply the 57 and 30:

( 57 ) ( 30 ) = 1710

answer is 1710

True or false, to convert square meters to square yards, multiply 3 by 9.29 x 10^-2

Answers

The Answer to this is: True.


A family’s monthly budget is 1000.00. If only 8% is spent on transportation, how much is left for other things

Answers

$920 is left

$1,000/.08=$80

$1,000-$80=$920

Brittany says that to determine the distance between 180 and 34, you can just subtract 180 - 34.
Is it true in this case? Why or why not?

Answers

It is true in this case, because you are trying to find the distance between two points. That also means you are trying to find the difference between two points, and to find the difference, you subtract. That is why what Brittany says is true.

Absolute value is always positive because absolute value represent distance and distance can not be negative.

Yes it is true, To determine the distance between 180 and 34, you can just subtract 180 - 34.

Since, absolute value is represent distance between two points

and absolute value is always greater or equal to zero.

Now, To  determine the distance between 180 and 34,  just subtract 180 - 34.

and then take absolute value.

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PLEASE HELP ME !!!!!! IM DESPERATE. i'll give 20 points . PROMISE!!
At Southside Middle School, 40% of the students play an instrument. There are 305 students. How many students play an instrument? 40 students 140 students 122 students 256 students

Answers

122 students is 40% of 305 students!! :)

jack popped some popcorn, but 3 of the 150 did not pop. Determine whether or not each popcorn snack below has the same ratio of unpopped to total kernals as Jack's popcorn

Answers

4:200 and 1:50 are the same and 2:75 is different

Answer:

b and c

Step-by-step explanation:

Jack popped some popcorn, but 3 of the 150 did not pop.

the ratio of the jack's popcorn = [tex]\frac{3}{150}[/tex]

                                                   = [tex]\frac{1}{50}[/tex]

                                                  = 1 : 50

We will go through all the other given ratio to find whether they are same ratio of Jack's or not.

a. 2 unpopped out of 75 kernels  = [tex]\frac{2}{75}[/tex]

                                                       = 2 : 75  This is not a match

b. 2 unpopped out of 200 kernels = [tex]\frac{4}{200}[/tex]

                                                         = [tex]\frac{1}{50}[/tex]

                                                         = 1 : 50   This is same

c. 1 unpopped out of 50 kernels = [tex]\frac{1}{50}[/tex]

                                                     = 1 : 50 This is also same

So b and c has the same ratio of unpopped to total kernels as Jack's popcorn.

Mary owned n sheep and Sam had exactly 4 times as many sheep as Mary. Mary buys 17 extra sheep and Sam sells 8 of his sheep. Sam still has more sheep than Mary. Form an inequality, in terms of n. Solve the inequality to find the least value of n. You must show all your working.

Answers

Answer:

The least value of n is, 9.

Step-by-step explanation:

Let n be the number of sheep in Integer.

Mary(M) owned the number of sheep is n i.e, M = n sheep

Sam(S) had exactly four times as many sheep as Mary , i.e, S = 4 n sheep

As per the given condition Mary buys 17 extra sheep

Now, Mary has total number of sheep, M = n +17 sheep

And Sam sells 8 of his sheep that means he has now,

[tex]S = 4n -8[/tex]

But, Sam still has more sheep than Mary i.e,  [tex]4n-8 > n+17[/tex]

Solve an inequality: [tex]4n-8 > n+17[/tex]

Add 8 both sides we get;

[tex]4n-8+8>n+17+8[/tex]

Simplify:

[tex]4n>n+25[/tex]

Now, subtract n from both the side, we get;

[tex]4n -n>n+25-n[/tex]

Simplify:

[tex]3n>25[/tex] or [tex]n>\frac{25}{3}=8.33333333[/tex]

Since n is the number of sheep in integer,

then the least value of n is, 9.  



The angles in a triangle are such that one angle is 78 degrees more than the smallest angle, while the third angle is 4 times as large as the smallest angle. Find the measures of all three angles.

Answers

Let the angles are x, y and z.

Let the smallest angle is x

one angle is 78 degrees more than the smallest angle.⇒ y = x + 78 → (1)

the third angle is 4 times as large as the smallest angle. ⇒ z = 4 x → (2)

we should know that the sum of the angles of the triangle = 180°

∴ x + y + z = 180 →(3)

substitute from (1) and (2) at (3)

∴ x + ( x +78) + (4x) = 180

∴ 6x = 180 - 78 = 102

∴ x = 102 ÷ 6 = 17°

∴ y = 17 + 78 = 95°

∴ z = 4x = 68°

So, the measures of all three angles are 17°, 95° and 68°

Solve the following addition problems. Remember to carry as necessary. a. 995 lb. 6 oz. + 1,004 lb. 11 oz. b. 24 T. 1,507 lb. 12 oz. + 7 T. 938 lb. 6 oz. c. 6 T. 14 oz. + 11 T. 1,949 lb. + 8 oz. + 5 T. 49 lb. 15 oz.

Answers

a.   995 lb. 6 oz.

+  1,004 lb. 11 oz.

______________

  1999 lb  17 oz  =  2000 lb 1 oz.

16 oz = 1 lb

Therefore,  

1999 lb  17 oz = 1999 lb + 16 oz + 1 oz = 1999 lb + 1 lb + 1 oz

= 2000 lb. 1 oz._______________________________________________

b. 24 T 1,507 lb 12 oz.

   + 7 T 938  lb  6 oz.

      ______________

      31 T  2445 lb  18 oz

2000 lb = 1 T.

16 oz = 1 lb

Therefore,

31 T  2445 lb  18 oz = 31 T + 2000 lb + 445 lb + 16 oz + 2 oz

                                 = 31 T + 1 T + 445 lb + 1 lb + 2 oz

                                 =  32 T.  446 lb. 2 oz._______________________________________________

c.     6 T.                 14 oz.  

   +  11 T. 1,949 lb.

   +                          8 oz.

   +   5 T. 49 lb.      15 oz.

______________________

     22T.  1998 lb.   37 oz.

     22T.  1998 lb.   37 oz. = 22 T + 1998 lb + 16oz + 16 oz + 5 oz.

                                          = 22 T + 1998 lb + 1 lb + 1 lb + 5 oz.

                                          = 22 T + 2000 lb + 5oz

                                           = 22 T + 1 T + 5 oz.

                                          = 23T. 5oz.

Answer:

A. 2000 pounds 1 ounce

B. 32T 446 pounds 2 ounces

C. 23T 5 ounces

Step-by-step explanation:

simplify 20+4(3)÷(-8)

Answers

PEMDAS:

20 + [tex]4^{3}[/tex] ÷ -8

Exponent

20 + 64 ÷ -8

Divide

20 +  -8

Add

20 + -8 = 12

hope this helps :)

The value of [tex]20+4^{3} /(-8)[/tex] is 12.

How to solve the equation by the PEMDAS rule?

Given:

[tex]20+4^{3} /(-8)[/tex]

Simplifying the equation by the PEMDAS rule

We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication, and Division (from left to right), Addition, and Subtraction (from left to right).

[tex]$\quad 4=2^{2}$[/tex]

[tex]$(4)^{3}=\left(2^{2}\right)^{3}=2^{6}$[/tex]

Substituting the values in the given equation,

[tex]$20+\frac{2^{6}}{-8}$$[/tex]

Dividing exponents as

[tex]$2^{6}$[/tex] divided by [tex]$2^{3}=2^{(6-3)}=2^{3}$[/tex]

[tex]$20+-8$$[/tex]

Simplify,

[tex]$20+-8$$[/tex]

Therefore, the value of [tex]20+4^{3} /(-8)[/tex] is 12.

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is anyone good with algebra I?

Answers

Yes. I take algebra 1 honors

Yes , ask questions and everyone will help !

8(x/4)>4 solve the inequality

Answers

ANSWER


[tex]x>2[/tex]

EXPLANATION

We have the inequality


[tex]8(\frac{x}{4})>4[/tex]


We can cancel directly to get;


[tex]2(\frac{x}{1})>4[/tex]


[tex]\Rightarrow 2x>4[/tex]



We now divide both sides by 2,


[tex]\Rightarrow x>\frac{4}{2}[/tex]



[tex]x>2[/tex]


See graph in attachment

what is the answer
[tex] {5}^{ - 7} \times {5}^{12} \times {5}^{ - 2} [/tex]

Answers

Hey there!!

Simple equation :

mᵃ × mᵇ = m ᵃ⁺ᵇ

We have :

5⁻⁷ * 5¹² * 5⁻²

... 5⁻⁷⁺¹²⁻²

... 5¹²⁻⁹

... 5³

... 125

Hope my answer helps!!

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