The length of a diagonal in a square is
32 inches. Find the perimeter of
the square.

Answers

Answer 1
Drawing a diagonal line through a square or rectangle makes 2 right triangles. The line drawn will be the hypotenuse of the triangles, which is the longest side.

By using Pythagorean theorem we can solve for any of the side lengths of a triangle.

a will be the first side,
b will be the second side,
c will be the hypotenuse

And since the shape is a square, that means a and b will be the same length.

a^2 + b^2 = c^2

a^2 + b^2 = 1024

Since and b are the same, we can combine the left side of the equation to be 2a^2

2a^2 = 1024

Divide both sides by 2

a^2 = 512

Square root both sides

a = 22.6274

We have now solved for the length of one of the sides of the square. Since a square has 4 equal sides, we multiply this by 4 for our answer.


22.6274 x 4 = 90.5096 inches

Related Questions

This is pretty simple but I need help. Thanks!!

Answers

Answer:

The answer is a.

Step-by-step explanation:

what is the inverse of( 10x-2)23

Answers

This is the answer!

HELP ME PLEASE!!!!! WILL GET THE BRAINLIEST IF ANSWER FIRST AND GET IT RIGHT!! Figure the table below.

Answers

Answer:

26

7.4

7 1/2

19.4

Step-by-step explanation:

Multiply each number by 3, then add 5

I wrote down on how to get the answer for each equation step by step.

need some help with this question in the image​

Answers

Answer:

Five pizzas and twenty five hamburgers.

Step-by-step explanation:

5 (pizzas) times 5 is 25. That would be the total amount of hamburgers, because 5×5=25

30 (total) - the 25 hamburgers= 5 pizzas

Hope this helps

Answer:

Pizza = x

Ham = 5x

x + 5x = 30

6x = 30

x = 5

pizza = 5

ham = 5x5 = 25

Step-by-step explanation:

hope its helps!

what is the slope-intercept form of the equation of the line that contains the points (1,4) and (0,1)

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

m = ( 1 - 4 ) / ( 0 - 1 ) = 3

( 0 , 1 )

y - 1 = 3(x - 0)

y - 1 = 3x

y = 3x + 1

Answer:

y=3x+1

Step-by-step explanation:

Slope is (y2-y1)/(x2-x1)

therefore slope =

(1-4)/(0-1)

-3/-1

m=3

therefore the equation is

y-y1=m(x-x1)

y-4=3(x-1)

y-4=3x-3

y=3x+1

MARK ME AS BRAINLIST

An article was sold at a price of $360. If the profit made by the shopkeeper is 20%, find the cost price of the article

Answers

Answer:

288

step by step explanation:

you first have to figure ot what

does 20% means. And this

questions is with subtracting.

So,

20% = 72

And since the question is with

subtracting we use our 360$

from before and we subtract.

360$ - 20% = 288 or

360$ - 72 = 288

I hope that explanation helped

you understand why the answer

is 288.

Which of the following is not an example of a perfect square?
a. 9
b. 200
c. 4
d. 64

Answers

The answer is nine .nine is not a perfect square.

Answer

B. 200

A perfect square is the multiplication of two equal integers such as 1*1=1, 2*2=4, 3*3=9. From the examples, 1, 4, 9 are perfect square.
Non perfect square numbers are 1*2=2,
3*1=3,
5*1=5,
3*2=6,
6*1=6,
7*1=7
Examples of perfect squares:
1*1=1
2*2=4,
3*3=9,
4*4= 16,
5*5=25,
6*6=36,
7*7=49,
8*8=64,
9*9=81,
10*10=100,
11*11=121,
12*12=144,
13*13=169,
14*14=196,
15*15=225 and so on

Please help! it's due tonight​

Answers

Answer:

you could do like 110 length and 80 wide and that will give you a perimeter of 380 which is the same and a area of 8800 which is 400 higher than the original area

numeros divisibles para 380​

Answers

Answer: 760, 1140, 1520, 1900, ...

Step-by-step explanation: Multiplica 380 por cualquier número y cualquier número que obtengas es divisible por él.

9.35 9.323 9.42 9.3 9.305 9.371 least to greatest

Answers

Answer:

The rear number is always the one to look at

9.42, 9.371,9.35,9.32,9.305,9.03

Step-by-step explanation:

Answer:

I hope this helps :)

Step-by-step explanation:

9.3 - Least

9.305

9.323

9.35

9.371

9.42 - Greatest

The places without a number still have a zero there, it's just a placeholder so it doesn't change the value at all in this case that is. :)

Write the equation of the trinomial h(x) with the zeros of x = - 9 and
x =1

Answers

(x+9)(x-1) = 0
x^2 - x + 9x -9 = 0
x^2 + 8x - 9 = 0
Hope this helps!

The librarian purchased 22 copies of a best-selling book for $385.66.
How much did each copy of the book cost?

Answers

Answer:

$17.53

Step-by-step explanation:

You know the total price of 22 copies was $365.66. To find the price of one copy, you divide 365.66 by 22 to get $17.53 per copy.

Answer:

17.53

Step-by-step explanation:

Shannon test-drives a car in Germany and drives 95 kilometers per hour.What is her speed in miles per hour

Answers

Answer:

59

Step-by-step explanation:

The value of a machine depreciates each year by 5% of its value at the beginning of that year. If its value when new on 1st January 1980 was # 10,250. 00, what was its value in January 1989 when its was 9years old. Give your answer correct to three significant figures.

Answers

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &10250\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=\textit{elapsed time}\dotfill &9\\ \end{cases} \\\\\\ A=10250(1 - 0.05)^{9}\implies A=10250(0.95)^9\implies A\approx 6460[/tex]

Calvin kicked a soccer ball laying on the ground. It was in the air for 5 seconds before it hit the ground. While the soccer ball was in the air it reached a height of approximately 25 feet. Assuming that the soccer ball’s height (in feet) is a function of time (in seconds), what is the range in the context of this problem?

Answers

Answer:

The range is 0-25 feet

Step-by-step explanation:

Mathematically, when we are talking of the range, we are simply referring to the values at the boundaries.

This refers to the y-axis values. That is the values of the dependent variable

If we are to plot the graph, we will have the time on the x-axis while the amount of time spent in air would be on the y-axis

The base height is from the ground which is marked 0 feet to a maximum height of 25 feet

So the range in the context of this problem is 0-25 feet

PQ is a straight line. Work out the value of y.

Answers

Answer:

D)44 degrees

Step-by-step explanation:

2y+y+48=180

3y=132

Y=44

I need ASAP Will give brainliest and thanks. High School Math
8.2 transformations of exponential functions
Number eight out of ten
Thank youuuu

Answers

Step-by-step explanation:

f(x) = [tex]8^x[/tex]

look at it like this

y = [tex]8^x[/tex]

we need 1 down

down and up is the y line

down 1 means that when the line touches the y line it has to touch it at -1

so that would make the y intercept -1

do you know what to do from here

Write an equation of the parabola in vertex form that passes through (13,8) and has vertex (3,2).

Answers

Answer:

[tex]y=\frac{3}{50} (x-3)^{2}+2[/tex]

Step-by-step explanation:

Vertex: (3,2)

Point: (13,8)

The equation form is [tex]y=a(x-h)^2+k[/tex]

h = 3

k = 2

y = 8

x = 13

Plug in the values into the form..

[tex]8=a(13-3)^{2} +2[/tex]

Simplify and solve for a..

[tex]8=a(10)^{2}+2[/tex]

[tex]8=100a+2[/tex]

[tex]100a=8-2[/tex]

[tex]100a=6[/tex]

[tex]a=\frac{6}{100} or \frac{3}{50}[/tex]

Plug a into the equation..

[tex]y=\frac{3}{50} (x-3)^{2}+2[/tex]

Hope this helped you!

Maths please help xx

Answers

Answer:

a= 210% it will rain and b is 40%

Scale of a map is 1 inches : 50 miles
Find the model size: round to the nearest whole number

300.25 miles

Answers

Answer: 300 miles,....

Find the 21st term of the AP - ​

Answers

Answer:

above is the solution to the question

If f(x)=x^2+3 and g(x)=2x-5 find (f-g) (x)

Answers

Answer:

[tex](f - g)(x) = x^2-2x-2[/tex]

Step-by-step explanation:

We have the following two functions:

[tex]f(x)=x^2 +3g(x) = 2x-5[/tex]

In order to solve for [tex](f - g)(x)[/tex] we look at the two functions and realize that:

[tex](f - g)(x) = f(x) - g(x) = x^2+3-2x-5=x^2-2x-2[/tex]

Therefore:

[tex](f - g)(x) = x^2-2x-2[/tex]

Can anyone help me with the math question?

Answers

Answer:

because the power of the polynomial (T) is 0.5 where the polynomial considered when it must have power as 1,2 or many more.

Answer:

Its not a polynomial because polynomials don's have their exponents in fraction or decimal form

The number of inches in a foot is 12. How many centimeters are in a foot? Explain the steps you used to find the answer.

Answers

Answer:

30cm

Step-by-step explanation:

With reference to the scale,

1inch=2.5 cm

12 inch=12*2.5 cm =30 cm

Therefore, 1 foot =30 cm

Identify the center and write the equation of the circle that has the ends of the diameter at (17,12) and (13,16)

Answers

The answer is (x -15)^2 + (x-14)^2 =8

What is the slope of a line perpendicular to the line in the graph?

Answers

Answer:

the answer is b because perpendicular is when 2 line meet at a 90 degree angle

The 14 compact cars sold by a dealer on Monday was 56% of the cars sold that day.

step by step please

Answers

the 14 cars sold = 56% of total car stock

how many cars (noted n) for 100 % ?

14.............56%

n..............100%

n x 56% = 14 x 100%

n = 14 : 0,56

n = 25

total cars in stock : 25

56% were sold

so 25 x 56% = 14 have been sold

A veterinarian uses weights in kilograms to figure out what dosages of medicines to prescribe for animals. For every 10 kilograms, there are 22 pounds.
Calculate each animal’s weight in kilograms. Explain or show your reasoning. If you get stuck, consider drawing a double number line or table.

Bella the Chihuahua weighs 512 pounds.

Answers

Step-by-step explanation:

[tex]512 \times 10 \div 22 = 232.24[/tex]

Answer:

512x10/22=232.239

Step-by-step explanation:

Bella weight in kilogram is 232.239

Monica is trying to lower her credit card debt and has been tracking her expenses for the past month. She identified her variable expenses in relation to her fixed expenses. Without altering her variable expenses, how much extra could she possibly put towards her credit cards? A circle graph titled Monthly Income 2800 dollars. Variable expenses is 56 percent, fixed expenses is 36 percent, and net income is 8 percent. A. $1,792 b. $1,568 c. $224 d. $1,008.

Answers

Withoutbaltering her variable expenses is $224 extra could she possibly put towards her credit cards.

What is pie chart?

The “ pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numericical value.

Given

Monica is trying to lower her credit card debt and has been tracking her expenses for the past month.

She identified her variable expenses in relation to her fixed expenses.

According to the pie chart, 36% and 56% are used for expenses, so there is 8% left over.

Multiply her monthly income by 8%:

2800 x  0.08 = 224

Hence, withoutbaltering her variable expenses is $224 extra could she possibly put towards her credit cards.

You can learn more about pie charts at;

https://brainly.com/question/25796636

what do you do on here like

Answers

Answer:

I come here to get answers for my homework and help other people

Plzz give me brainliest, i really need it to level up

Answer:

we answer each others questions and have fun !!

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