Consider the diagram.

2 triangles are connected at their hypotenuse to form a rectangle. The rectangle has a length of 7 meters and width of 6 meters.

Mia plans to build a fence to divide her rectangular garden into two triangular areas. Use the diagram to find the length of fence she will need to divide the garden. Round up to the nearest hundredth.



Mia will need a fence that is
meters long.

Answers

Answer 1

The length of fence she will need to divide the garden is 9.22 m.

What is a Rectangle?

A Rectangle is a quadrilateral having four sides and four right angles in which both sides are parallel and opposite to each other.

Pythagoras Theorem

The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.

Let us consider the length of the fence be 'x'  

Using Pythagoras Theorem,

x² = 6² + 7²

[tex]x^{2} =36+49\\x^{2} = 85[/tex]

x = 9.22 m

So, the length of fence is 9.22 m.

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Answer 2

Answer:

9.22

Step-by-step explanation:

edge


Related Questions

please help! the questions are in the photo.

Answers

[tex]\bold{ANSWER:}[/tex]
53%

[tex]\bold{SOLUTION:}[/tex]

Which of the following expressions represents three times the sum of p and 8?
A.
3p + 8
B.
3(p + 8)
C.
3(p - 8)
D.
8(p + 3)

Answers

B. 3(p+8) because the question says (three times the sum of p and 8) which states that the number 3 is being multiplied by the sum of p and 8 which the sum is (p+8)

Tickets to the play cost $5.00 for adults and $3.00 for kids. The play sold 20 tickets for a total of $76. How many kids and adults attended the play?

Answers

The number of adults =16 and the number of kids =4

Select the correct answer.

Which function is represented by this graph?

Answers

The correct answer is the 2nd one

Cristiano ronaldo has a pass success percentage of 86% in the uefa champions league. this measure
summarizes the percentage of passess ronaldo successfully made to his teammates instead of being
intercepted by the opponent. ronaldo's coach has a strategy that in an indirect free kick, ronaldo makes
2 passess before shooting for the goal.
assuming ronaldo's passess are independent, what is the probability ronaldo successfully makes both
passes in the first indirect free kick opportunity during the next game?

Answers

Answer:

74%.

Step-by-step explanation:

As the passes are independent we multiply the individual probabilities:

The  Required probability

= 0.86 * 0.86

= 0.7396

- close to 74%.

Write the inequality given in the diagram below

Answers

Step-by-step explanation:

it's either 3 or 2 probably

Evaluate the expression.

Answers

Answer:

-1331

Step-by-step explanation:

Just ask. :)

30 Points if you answer thanks

Answers

Answer:

Step-by-step explanation:

Answer:

ok this is pretty simble you just have to subtract the bottom exponents from the top so

3-2=1

2-2=0

a^1=a

a

Hope This Helps!!!

The midpoint of overline AB is M(4, -5). If the coordinates of A are (6, -4)what are the coordinates of B?

Answers

Img attached

[tex]\huge\mathfrak\colorbox{white}{}[/tex]

LOOK AT THE PICTURE BELOW PLEASE!

Answers

Answer:

50

Step-by-step explanation:

Each question is 6%/3 = 2% worth. If each question is worth 2% then total questions must be 50 (cuz that would be 2% x 50 (total question) = 100%).

− 96 , 48 , − 24 , 12 , − 6 . what is the ratio of the geometric sequece

Answers

Answer:

-1/2

Step-by-step explanation:

it has to be a negative number since

every other number is negative

its a fraction since the numbers are decreasing

96 divided by 48 is 2

so the number being multiplied or ration must be -1/2

A fair coin is flipped 120 times. Estimate the expected number of ‘heads’.

Answers

Answer:

76.47

How I did it(using a specific range)

(n, 54, 66 (120 C)) 2¹²⁰ = 0.76 × 100 ≈ 76.47

Carl used 10 2/9 of an inch of string to tie a parcel and another 5 1/4 of an inch of string to tie a box, how much string is left if he started with 20 inches?

(please put you solution)

Answers

Answer:

4 19/36

Step-by-step explanation:

we have to subtract the sum of 10 2/9 and 5 1/4 from 20 to get the answer.

 =>     10 2/9 + 5 1/4

          As   a c/d    is     a + c/d,

          10 2/9 + 5 1/4 can also be written as  10+5+2/9+1/4

     

           now  we have to simplify it

 =>      10+5 = 15  

 =>      2/9 =  (2*4)/9*4)  =  8/36,    1/4  =  (1*9)/(4*9)  =  9/36

           now we have the same denominators

           add,

           8/36 + 9/36  =  (8+9)/36    =      17/36

 

 =>      now we know that 10 2/9 +  5 1/4  is  15 17/36 (  which is 15 + 17/36)

           

 =>      next step is to convert 15 17/36 into an improper fraction

           15 17/36  =     [(15*36)+17]/36     =     [540+17]/36    =   557/36

           

 =>       now we just have to subtract  557/26 from 20

            20 -  557/36  =   [(20*36)-557]/36   =    [720-557]/36   =    163/36

         

 =>   we can convert 163/36 into a mixed fraction if we want to  

        163/36 converted into mixed fraction is 4 19/36

        hope this helps :)

Will give Brainliest and a lot of points! :D

Which of the following expressions factors completely to 3(x + 5)²?

A. 3x² + 25
B. x² + 10x + 25
C. 3² + 75
D. 3x² + 30x + 75

Answers

Answer:

solution

here;

answer D

Step-by-step explanation:

3(x2+10x+25)

3(x^2 +2×5×x +25)3(x+5)^2
answer: 3x^2+30x+75 (choice D)

explanation: so 3(x+5)^2. distribute the power to both of the variable and number in the parenthesis. that will equal to 3(x^2+10x+25). now multiple the expression in the parenthesis, and you will get 3x^2+30x+75.

find the value of a in this fig.​

Answers

Step-by-step explanation:

[tex]1.a + 27 = 90 \: \: (complementary \: angles = 90) \\ a = 90 - 27 \\ a = 63degrees \\ 2. \: x + 101 + 109 + 90= 360 \: (revolution \: angles = 360) \\ x = 360 - (101) - (109) - (90) \\ x = 60degrees \\ 3. \: a + 85 = 180 \: (angles \: on \: str \: line = 180) \\ a = 180 - 85 \\ a = 95degrees \\ b = 85 \: (vertically \: opp \: angle) \\ c = 95 \: (vertically \: opp \: angle)[/tex]

PLEASE HELP WILL GIVE BRAINLEST!

Answers

Answer: The graph with green line is the graph showing a 1 radian angle in a standard position.

Step-by-step explanation:

Hope it helps you:)))))))

Have a good day

Solve this problem! Thank you! (Math *)

Answers

Answer:

9

Step-by-step explanation:

Do the powers

Then the bracket

Then x or ÷

And then + or -

A bag contains 3 red marbles, 4 blue marbles, and 2 yellow marbles. What is the probability of pulling out a blue marble?

Answers

the chances of picking a blue marble is 4/9, cause blue marble picked = number it blue marbles / total number of marbles that are in the bag which is 9

Probability of pulling out the Blue Marbels = 4/9

Step-by-step explanation:

Red Marbels = 3

Blue Marbels = 4

Yellow Marbels = 2

Total Marbels = 9

P( Blue Marbels) = Number of favorable outcomes/Total number of possible outcomes = 4/9

PLEASE HELP ME WITH THIS QUESTION ASAP!!!

How are monomials multiplied by binomials and trinomials?

Answers

Distribution is the way I learned it.

Which is the correct solution to ‐3x<21?

Answers

top right
this is because, when dividing an inequality by a negative number, you must flip the inequality sign

-3x < 21
x > -7

Answer:

Top right

Step-by-step explanation:

When mult/dividing by a negative number, the sign always flips.

Given: X= 0.234523452345..... Is X rational or irrational? a If X is rational, rewrite it in a fraction.
WILL GET BRAINLIEST!!!!!!​

Answers

Answer:

[tex]\sf X=\dfrac{2345}{9999}[/tex]

Step-by-step explanation:

Given:

[tex]\sf X=0.234523452345...[/tex]

Therefore, X is a recurring decimal (the decimal numbers 2345 repeat forever).

Converting a recurring decimal to a fraction

Let X equal the recurring decimal:

[tex]\implies \sf X=0.234523452345...[/tex]

Create another number with recurring 2345s by multiplying the above expression by 10000:

[tex]\implies \sf 10000X=2345.23452345...[/tex]

To solve these two equations and write X as a fraction, take away X from 10000X to remove all the recurring decimal places:

[tex]\large\begin{array}{r r l}& \sf 10000X & = \sf 2345.23452345... \\- & \sf X & = \sf \quad \:\:\:0.23452345.... \\\cline{2-3} & \sf 9999X & = \sf 2345\end{array}[/tex]

[tex]\implies \sf 9999X=2345[/tex]

Divide both sides by 9999:

[tex]\implies \sf X=\dfrac{2345}{9999}[/tex]

Therefore, 0.23452345... as a fraction is [tex]\sf \dfrac{2345}{9999}[/tex]

The product of two integers is -160 if one of them is 8 find the other​

Answers

Hey ! there

Answer:

Other number is -20

Step-by-step explanation:

In this question we are given that the product of two integers is -160 and one of them is 8 . And we are asked to find the other integer .

For finding the other integer we are assuming ,

Other integer as ' x '

And now we can find other Integer by making equation and solving it .

SOLUTION : -

Equation is :

[tex] \quad \dashrightarrow \qquad \: 8 \times x = - 160[/tex]

or ,

[tex] \quad \dashrightarrow \qquad \: 8x = - 160[/tex]

To isolate the variable x , We are dividing both sides by 8 :

[tex] \quad \dashrightarrow \qquad \: \dfrac{ \cancel{8}x}{ \cancel{8}} = \cancel{ \dfrac{ - 160}{8} }[/tex]

On simplifying it , We get :

[tex] \quad \dashrightarrow \qquad \: \red{\underline{\boxed{\frak{x = - 20}}}} \quad \bigstar[/tex]

Henceforth , the other integer is -20 .

Verifying : -

Now we are verifying whether our answer is wrong or right by substituting value of x in the equation . So ,

[tex]8 \times x = - 160[/tex]

Substituting value of x :

[tex]8 \times - 20 = - 160[/tex]

Multiplying 8 with - 20 :

[tex] - 160 = - 160[/tex]

[tex] \rm{L.H.S = R.H.S}[/tex]

[tex] \rm{Hence , Verified .}[/tex]

Therefore , of answer is correct .

#Keep Learning

Answer:

The other integer is -20

[tex] \: [/tex]

Step-by-step explanation:

[tex] \: [/tex]

Given,

The product of two integers is -160.

One of the integers is 8

[tex] \: [/tex]

To Find,

The other integer.

[tex] \: [/tex]

Solution,

Let us assume the other integer as x

[tex] \: [/tex]

So, The equation will be :

[tex] \\ \longrightarrow \qquad{ \ {{ { \sf{x \times 8= - 160}}}}} \\ \: \: [/tex]

[tex] \longrightarrow \qquad{ \ {{ { \sf{8x= - 160}}}}} \\ \: \: [/tex]

Now, Let us divide both sides by 8 :

[tex] \\ \longrightarrow \qquad{ \ {{ { \sf{ \frac{8x}{8} = \frac{ - 160}{8} }}}}} \\ \: \: [/tex]

[tex] \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{x= - 20}}}}} \: \: \bigstar \: \\ [/tex]

Therefore,

The other integer is -20

Find the length of the third side. If necessary, write in simplest radical form.
2741
8

Answers

Answer:

10

Step-by-step explanation:

Let the missing side be 'x'.

Using Pythagorean Theorem, we can find the missing side.

x² + 8² = (2√41)²x² + 64 = 4(41)x² + 64 = 164x² = 100x = 10

0
1
2
3
7
8
9
10
4 5
+
6
+
+
Which of the following could be the number shown on the number line?
O A. √24
B. 27
C. 20
O D. 26

Answers

Answer:

A

Step-by-step explanation:

because the point number are segment

An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the obtcome of a single trial of a random experiment. Compute the probability of each of the following events. Event A: The sum is greater than 6. Event B: The sum is divisible by 4. Write your answers as fractions. ​

Answers

Answers:

P(A) = 7/12

P(B) = 1/4

====================================================

Explanation:

Instead of having one die, let's say we have two dice. I'll make one red and the other blue.

I'll be using the dice chart shown below. The red and blue values add up to the black numbers inside the table. For instance, we have 1+1 = 2 in the upper left corner. There are 6*6 = 36 sums total.

Using that table, we can see the following:

There are 6 copies of "7"There are 5 copies of "8"There are 4 copies of "9"There are 3 copies of "10"There are 2 copies of "11"There is 1 copy of "12"

In total, we have 6+5+4+3+2+1 = 21 instances where the two dice add to something larger than 6.

This is out of 36 ways to roll two dice.

Therefore P(A) = 21/36 = (3*7)/(3*12) = 7/12

-----------------------------------

If a number is divisible by 4, then it is a multiple of 4.

The multiples of 4 found in the table are: 4, 8, 12

We have

3 copies of "4"5 copies of "8"1 copy of "12"

This gives 1+5+3 = 9 values that are a multiple of 4

P(B) = 9/36 = (1*9)/(4*9) = 1/4

Tiana has $70 in an account. The interest rate is 5% compounded annually.
To the nearest cent, how much will she have in 1 year?

Answers

Answer:

$73.5

Step-by-step explanation:

*1.05 interest every year

so all you have to do is 70*1.05=73.5

Answer: $73.5

Step-by-step explanation:

Given the function f(x) = 3|x – 2| 6, for what values of x is f(x) = 18?

Answers

The values of x in f(x) = 3|x - 2| + 6 when f(x) = 18 are 6 and -2

How to determine the value of x?

The function is given as:

f(x) = 3|x - 2| + 6

The value of f(x) is

f(x) = 18

So, we have:

3|x - 2| + 6 = 18

Subtract 6 from both sides

3|x - 2| = 12

Divide both sides by 3

|x - 2| = 4

Remove the absolute bracket

x - 2 = 4 or x - 2 = -4

Add 2 to both sides

x = 6 or x = -2

Hence, the values of x are 6 and -2

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If the cans are divided evenly among the shelves, how many cans are on each shelf?

Cans for sale: 1,200
Shelves of cans: 10
Rows per shelf: 6

Answers

It’s 200 because 6x2 is 12 and we divided 1200 and 6 so that’s 200

To distribute 1,200 cans evenly among 10 shelves, with each shelf having 6 rows, we find that there are 120 cans on each shelf.

To find the number of cans on each shelf, we need to divide the total number of cans (1,200) by the total number of shelves (10) and the number of rows per shelf (6).

First, calculate the total number of cans in each shelf by multiplying the number of rows per shelf by the number of cans in each row:

Cans per shelf = Rows per shelf * Cans in each row

Cans per shelf = 6 * 200 = 1,200

Now, divide the total number of cans (1,200) by the total number of shelves (10):

Cans on each shelf = Total number of cans / Total number of shelves

Cans on each shelf = 1,200 / 10 = 120

So, there are 120 cans on each shelf when the cans are divided evenly among the shelves.

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PLEASE HELP!!! This is due today and i dont understand

Answers

work is shown within the picture :)
i hope you have a lovely rest of your day!

What does perserverance mean to you? What's a goal of yours that you'll fight to achieve?

Answers

Answer:

Doing something despite difficulty or delay in achieving success.

Step-by-step explanation:

Answer:

continued effort to do or achieve something despite difficulties, failure, or opposition

Step-by-step explanation:

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