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

EXERCISE 13.1
1. Following are the car parking charges near a railway station upto
4 hours
£60
8 hours
£100
12 hours
£140
24 hours
£180

Answers

Answer:

what is the calculation question you want in money

2/5 ÷ 1/6 I need the answer step by step the reciprocal kfc and da answer

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]

Flip  [tex]\frac{1}{6}[/tex]  so that the denominator is on top and the numerator is on the bottom like this [tex]\frac{6}{1\\}[/tex]

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

Multiplying

[tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1}[/tex]        Now all you have to do is multiply

1st- multiply 2x6

2nd- multiply 5x1

[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]

Hope my explanation helps you out!

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

= 9/20

Distance left to cover :

Total distance - total distance already covered

1 - 9/20

(20 - 9) / 20

11 / 20

Arianna's little brother loves playing with bouncy balls. For his birthday, Arianna buys him 3 bouncy balls for $0.65 each. She hands the cashier a five-dollar bill. How much change should Arianna receive?

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:

$0.65*3=$1.95

$5-$1.95=$3.05

According to this, the answer is that Arianna should receive $3.05 in change.

Which is the coefficient of the expression - 3a²c-7?
-7
-3
2
3

Answers

Answer:

-3

Step-by-step explanation:

:)

Find x and y so the quadrilateral is a parallelogram.

Answers

Answer:

Step-by-step explanation:

6y-42=4y

2y=42

y=21

6x-12=2x+36

4x=48

x=12

help pls lol..ASAP!!

Answers

Answer:

p

Step-by-step explanation:

ITS NOT THE ONE I MARKED I ACCIDENTLY PRESSED IT BUT PLEASE HELP

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.

Write sin (4theta) in terms of sin (2theta) and cos (2theta).

Answers

Answer:

2 sin 2 theta cos 2 theta

Step-by-step explanation:

Mathematically;

sin (4theta) = sin (2theta + 2theta)

Using the sine addition rule

That would be;

sin 2 theta cos 2 theta + sin 2 theta cos 2 theta

= 2 sin 2 theta cos 2 theta

find the value of y?​

Answers

Step-by-step explanation:

Sum of angles in a quadrilateral = 360°.

=> y + 121° + 75° + 69° = 360°.

=> y = 95°.

250 is what percent of 200?

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.

Hope that helps

Have a good day :)

BRAINLIEST!URGENT! Someone said that its B. but never gave me the steps. Can someone please show me how the answer is B?​

Answers

so if never + rarely + often + always = 100%
when you take away never you get 68.7
always is 30.9
if you do 30.9/68.7 you get 45% so the answer is actually c

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

14²= 196

196 x pi = 196pi

Area = 196pi units²

Answer: 196

hope it helped

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
minutes of the movie has she streamed?
a. 36 minutes
b. 48 minutes
c. 57 minutes
d. 60 minutes

Answers

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

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 :

8 + 6 + 4

= 18 marbles

Based on this current proportion

The Probability of choosing a blue marble = Number of blue marbles/ Total number of marbles

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

The number of blue marbles has to be:

= 18 marbles × 1/2

= 9 blue marbles

From the question we have 4 blue marbles, hence:

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.


I really need help with this question thanks

Answers

Answer:

12.12

Step-by-step explanation:

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

we know the bigger leg is 14

so we divide that by 2 since

leg 1 = Unknown (y)

leg 2= 2y=14

Since leg 1 is basically half of leg 2, we divide leg 2 by 2 and get 7

now for the hypotenuse Its just y√3 so in this case y is 7

SO when solved 7√3 you’d get 12.12 rounded  

whats three hundred x three hundred 300x300

Answers

Answer:

90000

Step-by-step explanation:

this baby has big brain

Please solve!! :)
-3 lx+4l= -6

Answers

Answer:

x = -2, -6

Step-by-step explanation:

I used a site called tiger algebra to solve this so I don't know how, but I hope this helped you anyway. :)

PLEASE ANSWER QUICKLY!

Answers

Answer:

D

Step-by-step explanation:

Answer

24481232

Step-by-step explanation: all you gtta do is do this do your work

What is the image point of (5,1) after a translation right 5 units and down 2 units?

Answers

Answer:

(10,-1)

Step-by-step explanation:

If it shifts right, that means that the x is increasing

5+5 = 10

if it shifts down, that means the y is decreasing

1-2=-1

x= 10 y=-1

(10,-1)

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


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:

m = ⁷/₂

(14, -3)    ⇒   x₀ = 14,  y₀ = -3

So, the point-slope form of the equation:

y + 3 = ⁷/₂(x - 14)

So::

y + 3 = ⁷/₂x - 49         {subtract 3 from both sides}

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

Multiply 2ab(−a+2b+3)
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Answers

Answer:

 (2•3a3b4)

Step-by-step explanation:Equation at the end of step 1

 -2ab • (0 -  (3a2 • b3))

STEP

2

:

Multiplying exponential expressions :

2.1    a1 multiplied by a2 = a(1 + 2) = a3

Multiplying exponential expressions :

2.2    b1 multiplied by b3 = b(1 + 3) = b4

CAN SOMEONE HELLP MEE? *cries

Answers

Answer:

wth is this typa math

Step-by-step explanation:

i dunno

Answer:

E & J are proportional to each other.

Step-by-step explanation:

by counting how many squares there are on each block we can see that they're both they same size only in a different position. On both short sides the blocks are 4 squares long, and on each long side the blocks are 6 squares long.

CAN SOMEONE PLEASE HELP ME???

Answers

Answer:

C

Step-by-step explanation:

The blue line is the one that that slants from lower right to upper left. It has a negative slope as in - 1/2. The line is solid so that means the values of the line are included in the expression.

The area covered is purple, so y is less than the y values of the line. C is the only value that shows the paragraph above.

But we have to check the other inequality just to make sure you are right.        y >  2/3 x - 4. The line is not included, so C is your answer.

Help please, will mark you brainliest (Only if the answer is correct)

Answers

i think it’d be a 23% chance of getting a face card. There’s only 12 face cards in a deck of cards, 12 out of 52

Could someone help me with this question please ASAP

Answers

Answer:

Step-by-step explanation:

Vertex form of quadratic equation with coordinate of vertex (h, k) is

y = a(x - h)² + k

The answer would be y=a(x+h^2)+k.

Solve for x*
X+ 19
14 + x

Answers

Answer:

x=-9

Step-by-step explanation:

2(14+x)=x+19

28+2x=x+19

x=-9


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

A. 2x^10 + 4x^2 - x + 3 + 8x^6
B. 2x^10 + 8x^6 + 4x^2 - x + 3
C. 3 + 2x^10 + 8x6 + 4x^2 - x
D. 8x^6 + 4x^2 + 3 + 2x^10 - x

Answers

B
Hope this was helpful

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

Answers

Answer:

0.4 units

Step-by-step explanation:

Total weight boxes on a scale= 10

Total thay weighted = 4 pounds

Each box weighted balnk a pound= 4÷ 10= 0.4

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