Identify the perimeter and area of a square with diagonal length 24in. Give your answer in simplest radical form!!!


242‾√ in; 288 in2


482‾√ in; 288 in2


242‾√ in; 144 in2


482‾√ in; 144 in2

Answers

Answer 1

Answer:

Perimeter: [tex]48\sqrt{2} \: \mathrm{inches}[/tex]

Area: [tex]288\mathrm \: \mathrm{square \: inches}[/tex]

Step-by-step explanation:

If the diagonal of the square is 24 inches, the side length of the square is [tex]12\sqrt{2}[/tex] inches ([tex]2x^2=24^2[/tex]). The perimeter of this square is then [tex]4 \cdot 12\sqrt{2}=\fbox{$48\sqrt{2}\: \mathrm{in}$}[/tex] and the area [tex](12\sqrt{2})^2=\fbox{$288\: \mathrm{in^2}$}[/tex].

Answer 2

The area of the square is 288 in.² and the perimeter is 48√2 in.

Given to us,

Diagonal of the square = 24 in.

We know that for a square,

[tex]\bold{(Diagonal)^2 = 2\times (side)^2}[/tex]

substituting the values,

[tex]{(Diagonal)^2 = 2\times (side)^2}\\24^2 = 2\times (side)^2}\\side = 12\sqrt {2}[/tex]

Also, the area of a square is given by (side)², and, perimeter by (4 x side).

[tex]\bold{Area = (12\sqrt2)^2 = 288 in.^2}[/tex]

[tex]\bold{Perimeter= (4\times 12\sqrt2) = 48\sqrt 2 in.}[/tex]

Hence, the area of the square is 288 in.² and the perimeter is 48√2 in.

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Related Questions

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Answer:

-3

Step-by-step explanation:

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Answer:

x=-9

Step-by-step explanation:

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Answer:

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Write an equation of a line that has a slope of 7/2 and passes through the point (14,-3). Convert it to slope-intercept form.

Answers

Answer:

         y = ⁷/₂x - 52

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

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So, the point-slope form of the equation:

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y = ⁷/₂x - 52             ←  the slope-intercept form of the equation

Darla's family went on a vacation to Yellowstone Park. On day 1, they drove 14 the total distance, and on day 2 they drove an additional 15 the total distance. Which shows about how far the family has left to travel to Yellowstone Park?

Answers

Answer:

11/ 20

Step-by-step explanation:

Given that:

Fraction traveled on first day = 1/4

Fraction traveled on second day = 1/5

In fraction form, the total distance to be traveled is represented as 1

Total distance covered during the two days ;

(1/4 + 1/5)

L.C.M of 5 and 4 = 20

(5 + 4) / 20

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Distance left to cover :

Total distance - total distance already covered

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Answers

Answer:

Actually the one that you have marked is the answer

Step-by-step explanation:

Divide 2 by 5 and get 0.4. Next in each answer choice divide each number by each other beginning with the lowest number by the highest number.

Find x and y so the quadrilateral is a parallelogram.

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Answer:

Step-by-step explanation:

6y-42=4y

2y=42

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A circle has a radius of 14 units. What is the area in square units of the circle in terms of π?

Answers

Area of circle = pi r²

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Answers

Answer:

x = -2, -6

Step-by-step explanation:

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Mrs. Gatlin streams a movie on her tablet. The movie is 95 minutes long, and she has streamed 60% of the movie so far. How many
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c. 57 minutes
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Answers

The answer is C. 57 Minutes. I am pretty sure that’s correct.

a warehouse placed 10 equal weight boxes on a scale.total they weighed 4 pounds.Each box weighed blank of a pound

Answers

Answer:

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Step-by-step explanation:

Total weight boxes on a scale= 10

Total thay weighted = 4 pounds

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Answers

Answer:

[tex]\frac{12}{5}[/tex]  or  [tex]2 \frac{2}{5\\}[/tex]

Step-by-step explanation:You follow KCF (Keep Change Flip)

Keep [tex]\frac{2}{5}[/tex] the same

change the division sign to multiplication [tex]\frac{2}{5} \\[/tex] × [tex]\frac{1}{6\\}[/tex]

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After doing those steps your new equation will look like this-  [tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1}[/tex]

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1st- multiply 2x6

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[tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1\\\\}[/tex] = [tex]\frac{12}{5}[/tex]

So your answer is [tex]\frac{12}{5\\}[/tex]  or [tex]2 \frac{2}{5}[/tex]

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A bag contains 8 white marbles, 6 red marbles and 4 blue marbles. How many blue marbles must be added to the bag so that the probability of choosing a blue marble is 1/2?

Answers

Answer:

5 marbles

Step-by-step explanation:

A bag contains

8 white marbles

6 red marbles

4 blue marbles.

Total number of marbles is :

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Based on this current proportion

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In order for the Probability of choosing a blue marble to be 1/2

The number of blue marbles has to be:

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9 blue marbles - 4 blue marbles

= 5 blue marbles

Therefore, 5 blue marbles must be added to the bag so that the probability of choosing a blue marble is 1/2.

Answer:

The actual answer would be 10 marbles.

Step-by-step explanation:

1. we had started off by adding 8+4+6 to get the total number of marbles. If we do that, we will get that there are 18 marbles in total.

2. here is where the others went wrong. If we say that we need 5 blue marbles to get 9/18 blue marbles, you are wrong. This is because we have to add 5 to the total number of marbles as well. Then we get 9/23 marbles. which is clearly not 1/2,

3. However, if we multiply 5 by 2, we get 10 blue marbles. if we add 10 to the original 18, we get 28 total marbles. Now if we add 10 to 4 we get 14 blue marbles.

SUCCESS!!!

14/28 blue marbles is 1/2, therefore we must add 10 blue marbles.


URGENT: Which of the following shows the polynomial below written in descending order?
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A. 2x^10 + 4x^2 - x + 3 + 8x^6
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C. 3 + 2x^10 + 8x6 + 4x^2 - x
D. 8x^6 + 4x^2 + 3 + 2x^10 - x

Answers

B
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Answers

Answer:

D

Step-by-step explanation:

Answer

24481232

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Step-by-step explanation:

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Answers

Answer:

125%

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

What percent is 250 of 200? If you are using a calculator, simply enter 250÷200×100 which will give you 125 as the answer.

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Answers

Step-by-step explanation:

Sum of angles in a quadrilateral = 360°.

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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 -2ab • (0 -  (3a2 • b3))

STEP

2

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Answers

Answer:

(10,-1)

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Answers

Answer:

2 sin 2 theta cos 2 theta

Step-by-step explanation:

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Answers

Answer:

Arianna should receive $3.05 in change.

Step-by-step explanation:

In order to find the answer, you have to find the cost of the three balls by multiplying the cost per ball for the number of balls and then, you have to subtract this amount from five to find the change Arianna should receive:

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Answers

Answer:

C

Step-by-step explanation:

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Answers

Answer:

12.12

Step-by-step explanation:

SO its A special right triangle which means its. 30,60,90 triangle

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Answers

Answer:

p

Step-by-step explanation:

One container of ice cream holds 9 scoops of ice cream. One package of ice cream cones has 12 cones. We want to make the fewest number of cones, with one scoop of ice cream on each cone and no ice cream or cones left over. How many containers of ice cream and packages of cones should be purchased? How many ice cream cones will we be able to make? The fewest number of ice cream cones we will be able to make is . We need to purchase containers of ice cream and packages of ice cream cones.

Answers

Answer:

1.  There will be 4 ice cream containers and the number of ice cream cone package is 3.

2.  will be able to make 36 ice cream cones and this is the fewest number of ice cream cones.

Step-by-step explanation:

One container of ice cream holds 9 scoops of ice cream.And, one package of ice cream cones has 12 cones.we have to find the least common multiple of 9 and 12 which is 36 and there must be 36 ice cream scoops and 36  ice cream cones.So, there will be  36/9 =3 ice cream containers.and the number of ice cream cone package is 36/12=3That gives you your answerHOPE THIS HELPS, GOOD LUCK

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so if never + rarely + often + always = 100%
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