a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form

Answers

Answer 1

Answer:

The perimeter of the garden, in meters, is [tex]24\sqrt{2}[/tex]

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that [tex]d = 12[/tex], side s. So

[tex]s^2 + s^2 = 12^2[/tex]

[tex]2s^2 = 144[/tex]

[tex]s^2 = \frac{144}{2}[/tex]

[tex]s^2 = 72[/tex]

[tex]s = \sqrt{72}[/tex]

Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

36|2

18|2

9|3

3|3

1

So

[tex]72 = 2^{3}*3^{2}[/tex]

So, in simplest radical form:

[tex]s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}[/tex]

Perimeter of the garden:

The perimeter of a square with side of s units is given by:

[tex]P = 4s[/tex]

In this question, since [tex]s = 6\sqrt{2}[/tex]

[tex]P = 4s = 4*6\sqrt{2} = 24\sqrt{2}[/tex]

The perimeter of the garden, in meters, is [tex]24\sqrt{2}[/tex]


Related Questions

Help please

Look at picture

Supplementary angles

Answers

Answer:

Both are supplementary angles so

(2x-3) +71 = 180

2x - 3= 180 - 71 = 109

2x = 109 +3 =112

X = 112 / 2= 56

x = 56

Question 2 of 5
What value(s) of x will make x2 = 36 true?
O A V6
B. 8 and -8
C. 6
D. 6 and -6

Answers

The answer should be C

Answer:

it was actually D i just got the question wrong because of that person

Step-by-step explanation:

Classify each real number. List all the subsets in which the number belongs.

Answers

Answer:

Step-by-step explanation:

1-integer

2-rational

3-whole

4- irrational

Yesterday, 72 students from Red Rock Middle School went on a trip to the zoo. There are a total of 80 students in the school.
What percent of the students in the school went to the zoo2
O A 72%
OB. 80%
Oc88%
OD. 90%
OE 92%


pls sorry ty

Answers

Answer : option D 90%

Explanation : 72/80 as a percentage is 90%.

Good luck !!

M(6,5) is the mid-point of the straight line joining A(2 , 3) to the
point B. Find the coordinates of B.

Answers

Given :

M(6,5) is the mid-point of the straight line joining A(2 , 3) to the

point B.

To Find :

The coordinates of B.

Solution :

Let, coordinates of point B is ( h , k ) .

It is given that M is the mid - point of the straight line joining points A and B.

Coordinates of M is given by :

[tex]M = (\dfrac{2+h}{2},\dfrac{3+k}{2})\\\\(6,5 ) = (\dfrac{2+h}{2},\dfrac{3+k}{2})\\\\\dfrac{2+h}{2} = 6 \ , \ \dfrac{3+k}{2} = 5\\\\h = 10 \ ,\ k = 7[/tex]

Therefore, coordinates of point B is ( 10 , 7 ).

Gautam is listening to a song.
Laila peeled the potatoes.
You should help a friend in need.
John always does what he is told.
The Princess wanted to lie on a soft be
os
-ing​

Answers

Answer:

Okay????

What is that is that even a question?

Thanks for the free points. Have a great day!

Determine the domain and the range of the graph.

Answers

Answer:

Domain: (-∞,∞)

Range: -1

Step-by-step explanation:

Domain means the x-coordinates covered:

(-∞,∞)

Range means the y-coordinates covered:

Only -1 because there are no other existing y-coordinates.

I will give you Brianlyist

Answers

Answer:  

1.  2.90$

2. No, because that would be 2.30$

3. I don't know what it means by that but maybe 10 quarters and 4 dimes.

If there is more to the questions this isnt it.

What’s 8367 divided by 7

Answers

Answer:

1195.28

Step-by-step explanation:

We have a division problem which is 8,367 ÷ 7.

When it comes to division, you always look at the first number that is being split equally by the second number.

Follow the steps of the division problem :

Find how many times 7 goes into 8 :

7 * 1 = 7

Subtract 7 from 8 :

8 - 7

1

We have 1 in our thousands place, move down the number next to 8 in 8367 which is 3, and see how many times 7 goes into that number :

13

7 * 1 = 7

Therefore 7 only goes in once, put 1 next to 1 on top of the division problem, subtract 7 from 13 :

13 - 7

6

Move the 6 down from 8367 and see how many times 7 goes into that :

7 * 9 = 63

Subtract 63 from 66 :

3

Put 9 next to the one, as for now we have 119, now bring down the last value in 8367 and see how many times 7 goes into that :

37

7 * 5

35

Subtract 37 - 35 :

2

Therefore, our answer is 1195.28 , 1195 Remainder 2

Answer: The answer to 8367 divided by 7 equals 1195.285714 It can also be writtin as 1195.28 for short

Step-by-step explanation: The result of 8367/7 is a non-terminating, repeating decimal. The repeating pattern above, 285714, is called repetend, and denoted overlined with a vinculum.

This notation in parentheses is also common: 8367/7 = 1195.(285714): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 8367 / 7 = 1195.285714… .

8367 divided by 7 in decimal = 1195.285714

8367 divided by 7 in fraction = 8367 divided 7

8367 divided by 7 in percentage = 119528.57142857%

If it is okie can i have brainliest? it took me a while to write all of this.=3

Answer two questions about Systems A and B:System A x+3y=−9 2x+y=4 System B 3x+4y=−9 2x+y=4

Answers

Answer:

A=(21/5,-22/5) B=(5,-6)

Step-by-step explanation:

solve for x: -1< x+3 <5

Answers

Answer:

Im not sure but i belive the answer is −4<x<2

A bakery sold 246 vanilla cupcakes in a day, which was 82% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?

Answers

The total number of cupcakes were 300.

balance the equation show all 6 steps. 6+a=20

Answers

Answer:

14

Step-by-step explanation:

6+a=20

a=20-6

a=14

The graph of h(x) = g(x + 5) has

Answers

Answer:

Step-by-step explanation:

given f(x) = 3x+5
work out the value for f(2)

Answers

Answer:

f(2) = 11

Step-by-step explanation:

f(x) = 3x+5

f(2) = 3(2)+5

f(2) = 6+5

f(2) = 11

Answer:

11

Step-by-step explanation:

→ f(x) = 3x + 5

→ f(2) = 3(2) + 5

⇒ 6 + 5

⇒11

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

R
135
Р
S
Given isosceles trapezoid PQRS.
what are the measures of angles P. Q, S?

Answers

Answer:

huushshsusjvevshshd

Step-by-step explanation:

q=135 s and p= 45

Which one is prime 32,42,29,15

Answers

Answer:

29

Step-by-step explanation:

32 can be created from 4 x 8, so it is not.

42 can be created from 6 x 7, so it is not.

15 can be created from 5 x 3, so it is not.

29 cannot be created from any numbers multiplied.

Find the length of the third side. If necessary, write in simplest radical form.
3
2

Answers

Answer:

4.2 ft

Step-by-step explanation:

Reference angle = 77°

Opposite side = DE = x

Hypotenuse = CD = 4.3 ft

Apply the trigonometric function of sine. Thus:

Sin 77 = opp/hyp

Sin 77 = x/4.3

Multiply both sides by 4.3

4.3 × sin 77 = x

x = 4.2 ft (nearest tenth)

PLSSS HELP ME TYSMMMM

Answers

the answer is C I think hopeful these helps

BRAINLYY PLZZZ

Answer:

B heppppppp tarada ejejjejejeje

What percent of 144 is 139?

Answers

Answer: 96.53 would be the answer.

Hello

I believe the answer is 93.53

What is the x intercept of the function graphed below?

Answers

Answer:

B (2,0)

Step-by-step explanation:

The line crosses the x axis at 2.

(2,0) It’s the only point where the line crosses the x axis

How long will it take me to read 125 pages if I can read 20 pages in 30 minutes?

Answers

Answer:

187.5

Step-by-step explanation:

What is the area of the figure? ​

Answers

Answer:

48ft

Step-by-step explanation:

8x3=24

6x4=24

GRANDMA HAS 4 BAGS OF SOIL FOR HER FLOWER POTS ESCH FLOWER POT NEEDS 3/4 OF A BAG OF SOIL HOW MANY FLOWER POTS CAN SHE FILL

Answers

Answer:

5 1/3

Step-by-step explanation:

4 divided by 3/4

She can fill 5 pots

Each pot takes 3/4 bag and with that we find that we can fill 5 pots with a remaining 1/4

42=164, 73=499, 51= 251, 29=?

Answers

Given:

The reasoning problem is

42=164, 73=499, 51= 251, 29=?

To find:

The missing value.

Solution:

In the given reasoning problem, we need to square each digit then write them combinedly.

[tex]4^2=16[/tex]

[tex]2^2=4[/tex]

On combining these two, we get

[tex]42=164[/tex]

Similarly,

[tex]73=7^23^2=499[/tex]

[tex]51=5^21^2=251[/tex]

Using this pattern, we need write the square of 2 and 9 combinedly to find the value of 29.

[tex]29=2^29^2=481[/tex]

Therefore, the missing value is 481.

Explain why Roy’s diagram is not correct.

Answers

Answer:

Looks like he scaled it 2 1/2, not 1 1/2

Step-by-step explanation:

proportionally he went from CR of 4 units to CZ of 10 units. That's a 2 1/2 scale increase, not 1 1/2.

Can yall help answer these math questions? It’s for marks I’d really appreciate it if you guys can answer.

Answers

Answer:

A)

g is game

m is money

g = 6m

B) 5g = 30m

Step-by-step explanation:

What is m /_ 2?

42
48
90
138

Answers

Answer:

May be a 42 because vertically opposite angles are equal

m<2 = 42

because they are opposite angles

opposite angles are equivalent

A boat travels 336 miles in 67
hours (with a constant speed).
How far can it travel in 58 hours
(with the same speed)?

Answers

Answer:

290.87 miles

Step-by-step explanation:

336 miles - 67 hours

x miles - 58 hours

Cross multiply

67x = 336 x 58

67x = 19488.

Divide both sides by 67

x = 19488/67

x = 290.87 miles

What Is The Estimated Weight Of Three Containers Weighing 1.656 kg each? (Math 5 Quarter 2, Week 5) I Need A Nice And Clear Answer

Answers

Answer:

[tex]Estimate = 5.0kg[/tex]

Step-by-step explanation:

Given

[tex]Weight = 1.656kg[/tex]

Required

Determine the estimated for 3 containers

Since the weight of all containers are the same, we simply multiply the given weight by the number of containers.

i.e.

[tex]Estimate = Number\ of\ containers * Weight\ of\ each[/tex]

[tex]Estimate = 3 * 1.656kg[/tex]

[tex]Estimate = 4.968kg[/tex]

[tex]Estimate = 5.0kg[/tex] --- approximated

So, the estimated weight is 5.0kg

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