The diagonal of a square is 60 in, as shown
in the diagram. What is the length of a side
to the nearest tenth of an inch?

Answers

Answer 1

Answer:

The length of side is 42.4 inches.

Step-by-step explanation:

Given that:

Diagonal of square = 60 inches

As all sides of a square are equal, thus

Side of square = x

The diagonal will be the hypotenuse of a right angled triangle.

Using Pythagorean theorem;

[tex]x^2+x^2=(60)^2\\2x^2=3600\\x^2=\frac{3600}{2}\\x^2=1800[/tex]

Taking square root on both sides

[tex]\sqrt{x^2}=\sqrt{1800}\\x=42.4[/tex]

Hence,

The length of side is 42.4 inches.


Related Questions

What is an important requirement for an emergency fund?

Answers

French fries and cheese burgers

Answer:

While some call having one to two months' wages in reserve ideal, most financial experts say that the recommended emergency fund amount should cover three to six months' worth of household expenses. That's a great idea, and a key part of any sound financial plan, but it also requires some effort to achieve.

The radius of a circular mirror is increased by 2 inches due to its decorative border. This increases the area by 113 square inches. Find the radius of the mirror without the decorative border.

Answers

Answer:

Step-by-step explanation:

Assuming that the area of the mirror without the decorative border is x²

Then, the area of the mirror due to the decorative border is x² + 113

1. (MC)
Rewrite the rational exponent as a radical
extending the properties of integer exponents. (2 points)



Answers

it’s very blurry can you please zoom out

Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.

Please see the picture

Help me

Test

Answers

Answer:

100.3 square units

Step-by-step explanation:

Area of the composite figure = area of parallelogram + area of circle

Note: 2 semicircles = 1 full circle

Area of the figure = a*h + πr²

Where,

a = 10

h = 5

r = ½ of 8 = 4

Plug in the value into the equation

Area = 10*5 + π*4²

Area = 50 + π*16

Area = 100.265482 ≈ 100.3 square units (nearest tenth)

What is the quotient of 27,036 and 9?

Answers

Answer:

the answer is 3,004 that is 27,036 ÷ 9

Simplify the expression 3x + 14x + 35 + 2

Answers

Answer:

17x + 37

Step-by-step explanation:

looked it up

c. What number is 40% of 1607?

Answers

Answer:

642.8

Step-by-step explanation:

1607 divided by 10 = 160.7 x 4 = 642.8

Erica has 7 square feet of garden space to plant carrots beans pepper and lettuce. Supposed she gives each vegetable an equal amount of space. How much space will each vegetable get?

Answers

14ft have a nice day hope this helps

Determine if the statement is true or false. Any linear system with more variables than equations cannot have a unique solution.

Answers

Answer:

True

Step-by-step explanation:

Suppose a system contains a large number of variables than equations, then there is a need to make assumptions of some values for the extra variables in order to solve the system. So, the assigning of these values can be done in several ways. Thus, the system cannot contain a unique solution.

Also, for a system of the linear equation:

[tex]AX = B[/tex]  can have a unique solution if:

Augmented matrix(rank) = coefficient matrix(rank) = no. of variables.

Provided that there exist fewer equations and more variables,

Then;

coefficient matrix(rank) <  no. of variables

Thus, the system cannot contain a unique solution.

Find the value of x

Answers

Não sei te responder amigo!

Answer:

8

Step-by-step explanation:

E is the midpoint of segment BC, so the segment BE would have to be 8.

What is the value of x?

Answers

it’s d hope this helps

2% as a decimal PLSSSSSSSSSSSSSSSS HELP

Answers

Answer:

0.02 I hope this helps. :-)

Answer:

0.02

Step-by-step explanation:

To get a percentage to a decimal you divide it by 100.

In this case,

2%---> decimal----> 2/100=0.02

someone please help me out

Answers

Answer:

x is 68 :)))

hope that helpsss

1 point
A rectangular ballroom is being carpeted. The room measures 12 feet by 11 feet. If the carpet costs $3.60 per square foot, then what is the cost of
the carpet?

Answers

25. Because you are ugly hahahah

Answer:

first lets find the area of the floor.

A=l*w     where l=length and w=width

Plug in the data

A=14*12

A=168ft²

If 1 square foot of carpet is 2.90$, then 168 square feet are...

 1 sqft         168sqft

_______ = ________

 2.90$             x$

Cross multiply

1x=487.20

divide both sides by 1

x=487.20 dollars

Answer= $487.20

Step-by-step explanation:

plzzzzz help ASAP nowwwwwwww

Answers

25 because 9x5=45 so 5x5=25

Harvey collected h apples. feinstein collected 3 less than twice the number of apples that harvey collected. write an expression to show how many apples that harvey collected

Answers

Answer:

h*2-3=f

f*2+3=h

Step-by-step explanation:

brainliest if right thx:)

Answer:

Harvey collected "h" apples.Feinstein collected 3 less than twice the number of apples that harvey collected i.e., "(2h-3)" apples.

Which of the following two-dimensional shapes can be rotated to create a sphere?

Triangle
Square
Circle
Ellipse

Answers

Answer: C. Circle

Step-by-step explanation: i got it right good luck

When the circle is rotated then it forms the sphere. Then the correct option is C.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Whenever the 2D shape is rotated we get 3D solid.

A.  Triangle - when the triangle is rotated then it forms the cone.

B.  Square - when the square is rotated then it forms the cylinder.

C.  Circle - when the circle is rotated then it forms the sphere.

D.  Ellipse - when the ellipse is rotated then it forms the flat sphere.

Thus, the correct option is C.

More about the geometry link is given below.

https://brainly.com/question/7558603

HELP NEEDED EASY QUESTION WILL MARK BRAINLIST (MUST EXPLAIN)

As part of an experiment, Janelle spins a multicolored spinner 100 times and concludes that the probability of the arrow landing on orange is an unlikely event. If Janelle’s conclusion is true, which of these could be the probability of the event?

(A): 0
(B): 0.3
(C): 0.5
(D): 1

Answers

0.3, because 1 is certain, 0 is impossible, 0.5 is likely

Is (2, 4) a solution of 2x – Ty < -10?
Choose 1 answer:
A
Yes
B
No

Answers

Answer:

b

Step-by-step explanation:

B !!!! Because it is not

Which figure is missing in the pattern?
?
om

Answers

Answer: B

Step-by-step explanation:

Please help with this pleaseee

Answers

Answer:

CED=126

Step-by-step explanation:

The total of all 3 angles should be 180

so:

180-38-16 (ABC is equal to ECD)

180-38-16=126

126=CED

Answer:

∠E= 126°

Step-by-step explanation:

the parallel lines create a transversal (the diagonal line that connects them)

this transversal rule shows us that

∠DCE=∠CBA

so ∠DCE= 38°

let's look at the triangle

∠C+∠D+∠E=180°

38+16+∠E= 180°

∠E= 126°

(9x2/3)x2/3 please help​

Answers

Answer: the answer would be 4

Answer:

4

Step-by-step explanation:

=(9×2/3)×2/3

=(3×2)×2/3

=6×2/3

=2×2

=4

Help will do brainliest asked this before plz!!!!! ASAP!!!! A store manager combines trail mix that is 30% raisins with a trail mix that is 55% raisins. He makes 800 lb of trail mix that is 40% raisins. How many pounds of each mix does the manager use?

Answers

Answer:

480 and 320

I hope this helps you! I also had this question

What is 9.25% tax of $27.26?

Answers

Answer:

$29.78

Step-by-step explanation:

1. make the % into a decimal

9.25% = 0.0925

2. multiply amount by the decimal to get the tax amount

$27.26 × 0.095 = $2.52

3. take the original amount and add the tax to get your final total

$26.27 + $2.52 = $29.78

What is the slope intercept form of the linear equation x + y = 12

Answers

Do Yr selffffffffffffffff i can't do this

Erica knits 19 squares on Monday. Starting on Tuesday, she knits 4 squares each day.
How many squares does Erica knit by the end of the day on Friday?
Erica knits
squares by the end of the day on Friday.

Answers

Answer:

35

Step-by-step explanation:

16+ (4x4[4 days a week])

4x4=16

16+19

10+10=20

6+9=15

20+15=35

so therefore you're answer is 35

A store sells an item for $35 after a 25% markup. What is the price the store paid?

Answers

Answer:

43.75

Step-by-step explanation:

25 divided by 100=.25

.25*35=8.75

8.75+35=43.75

The store paid a price of $28 for the item.

What is Mark up Percentage?

Mark up percentage is the percentage of profit on a certain service or commodity.

We know the formula to calculate mark up percentage.

Mark up Percentage = [(Selling price - Cost) / cost] × 100

Here, given that,

Mark up percentage = 25%

Selling price = $35

We have to find the cost.

Let x be the price that the store paid for the item.

Substitute the given values in the formula for mark up percentage.

25 = [(35 - x) / x] × 100

Dividing both sides of the equation by 100,

25/100 = (35 - x) / x

0.25 = (35 - x) / x

Multiplying both sides with x,

0.25x = 35 - x

Adding both sides with x,

0.25x + x = 35

1.25x = 35

Dividing both sides by 1.25,

x = 35 / 1.25

x = 28

Hence the price of the item that the store paid is $28.

To learn more about Mark up Percentage, click :

https://brainly.com/question/14318030

#SPJ2

6x+4y=-6
2x+5y=9
Please help

Answers

Answer:

Step-by-step explanation:

Simplifying

6x + 4y = 6

Solving

6x + 4y = 6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4y' to each side of the equation.

6x + 4y + -4y = 6 + -4y

Combine like terms: 4y + -4y = 0

6x + 0 = 6 + -4y

6x = 6 + -4y

Divide each side by '6'.

x = 1 + -0.6666666667y

Simplifying

x = 1 + -0.6666666667ySimplifying

6x + 4y = 6

Solving

6x + 4y = 6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4y' to each side of the equation.

6x + 4y + -4y = 6 + -4y

Combine like terms: 4y + -4y = 0

6x + 0 = 6 + -4y

6x = 6 + -4y

Divide each side by '6'.

x = 1 + -0.6666666667

Simplifying

x = 1 + -0.6666666667

Simplifying

2x + 5y = 9

Solving

2x + 5y = 9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5y' to each side of the equation.

2x + 5y + -5y = 9 + -5y

Combine like terms: 5y + -5y = 0

2x + 0 = 9 + -5y

2x = 9 + -5y

Divide each side by '2'.

x = 4.5 + -2.5y

Simplifying

x = 4.5 + -2.5y

Answer:

(x,y)=(-3,3)

Step-by-step explanation:

hope you understand

........

Which of the following equations have infinitely many solutions?

Choose all answers that apply:

А
-10x – 10 = –10x + 10

B
10x – 10 = -10x + 10

C
- 10x - 10 = -10r - 10

D
10x – 10 = -10x – 10

Answers

Answer:

B.

10× - 10 = - 10× + 10

but I'm not sure

I think is B but not sure

A tree was 60 inches tall. Three years later it was 105 inches tall

Answers

Answer:

Im sorry but I think you have forgotten to pit your question innit

Answer:

Step-by-step explanation:

something is wrong with the question...

thanks for the points. ^_^

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