Find the length of the diagonal of a square with perimeter 56

Answers

Answer 1

Answer:

About 19.8

Step-by-step explanation:

First find the side lengths. In this example, 56/4=14

Next use the Pythagorean theorem, to us it, here's the formula a squared plus b squared equals c squared. For this example use 14 squared plus 14 squared which equals 392.

Finally take the square root of 392 because we still need to take the squared out in c. The square root of 392 rounded to the nearest tenth is 19.8.


Related Questions

Which of the following coordinates represents a solution to the equation 3x-2y=6?

3, -2
2, -3
0, -2
(0, -3)

Answers

Answer:

2,-3

Step-by-step explanation:

Carlos is making party favors. Every bag has exactly the same treats in it. Carlos has 96 granola bars and 64 popcorn balls. What is the greatest number of party favors Carlos can make?

Answers

Answer:

32

Step-by-step explanation:

Given that:

Number of granola bars = 96

Number of popcorn balls = 64

Greatest number of party favors that can be made from granola bars and popcorn balls ;

Obtain the greatest common factor of both 96 and 64

Factors of :

96 : 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

64 : 2, 4, 8, 16,32

greatest common factor is 32,

Hence, greatest number of party favors that can be made is 32

Find the slope of the line through the given points: (1, 5) & (4, 7).

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Find slope using the slope formula:  [tex]\frac{y2-y1}{x2-x1}[/tex]

Plug in the given points : [tex]\frac{7-5}{4-1}[/tex]

Calculate by subtracting the numbers : [tex]\frac{2}{3}[/tex]

Solution : [tex]\frac{2}{3}[/tex]

A cake recipe contains sugar and flour in the ratio 3 : 2.

How much of each ingredient is needed to make 600 gram of such a cake?

Answers

Answer:

360 g of sugar and 240 g of flour

Step-by-step explanation:

add the parts of the ratio, 3 + 2 = 5 parts

Divide the total by 5 to find the value of one part of the ratio.

600 g ÷ 5 = 120 g , thus

3 parts = 3 × 120 g = 360 g ← amount of sugar required

2 parts = 2 × 120 g = 240 g ← amount of flour required

Answer:

360 grams of sugar and 240 grams of flour

Step-by-step explanation:

First, find the sum of the parts of the ratio: 3 + 2 = 5

Divide the total amount (600) by the amount of parts:

600/5 = 120

Now multiply 120 by the amount of each part of the ratio:

210 * 3 = 360

360 * 2 = 240

360 grams of sugar and 240 grams of flour are needed to make 600 grams of a cake.

Hope this helps :)

A road is 4/7
of a mile long. A crew needs to repave 4/7 of the road. How long is the section that needs to be repaved?

Write your answer in simplest form.

Answers

Answer:

hello

Step-by-step explanation:

Solve the system by elimination
-6x + 6y = 0
9x - 8y = 4

Answers

Answer:

Point form: (4, 4)

x = 4, y = 4

the window of a room is 20m long and 14m wide. if the carpenter works to put a metallic frame around it which cost Rs.120 per metre, then how much will the metallic frame cost.​

Answers

Answer:

33,600

Step-by-step explanation:

length=20m

wide=14m

area= 28m²

1m= 28

cost = 120*28= rs33600 per m²

(6h+8) - (3h+2) = 15

Answers

Answer:

h = 3

Step-by-step explanation:

This is the answer because:

1) Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps!

someone knows what number multiplied twice by the same can give me results 203!!!!!

Answers

Answer:

i will help you.......

Which equation represents the vertex form of the equation y= x2 - 6x + 11?
A. y= (x - 3)2 + 2
B. y= (x - 6)2 + 2
C. y= (x - 6)2 +11
D. y= (x - 3)2 + 11

Answers

Answer:

A

Step-by-step explanation:

Use the method of completing the square to express in vertex form.

Given

y = x² - 6x + 11

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 11 , then

y  = (x - 3)² + 2 → A

Answer:A

Step-by-step explanation:

please help me. It's urgent​

Answers

Answer:

a) 7/5

Step-by-step explanation:

[tex]y-\frac{y-1}{2}=1-\frac{y-2}{3} \\Through\ the\ butterfly\ method\ of\ resolving\ denominators\ ,\\\frac{2y-(y-1)}{2} = \frac{3-(y-2)}{3} \\\frac{2y-y+1}{2} = \frac{3-y+2}{3} \\\frac{y+1}{2} =\frac{5-y}{3} \\3(y+1)=2(5-y)\\3y+3=10-2y\\3y+2y=10-3\\5y=7\\y=\frac{7}{5}[/tex]

( -3) ^-5 = 1/x what is the value of x?

Answers

Answer:

x= -243

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable x.

2 right triangles have identical angle measures but different side lengths. The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4. Which transformation maps the large triangle onto the small triangle?

Answers

Answer:

The transformation is 0.5

Step-by-step explanation:

The lengths of the second triangle is just half the length of the first triangle, from the center. As it is just resizing, the angles would not change, resulting in the same triangle, except for size.

Answer:

A- Dilation

Step-by-step explanation:

It doubles the length for all sides of the small traingle.

What is the measurement of YZ and the measurement of angle Y

Answers

Answer:

Yz=12 cm

m<Y=26

Step-by-step explanation:

angle Z is congruent to angle X. Angle z also corresponds to side XY, which is 12cm. This means that side YZ (corresponds to angle x) is 12 cm.

77+77+x=180

154+x=180

x=26

3. Choose the correct statement below:
a) All natural numbers are whole numbers.
b) All whole numbers are natural numbers.

Answers

All natural numbers are whole numbers

write the equation for the graph. make sure to include + or - signs to indicate if your number is positive or negative

Answers

Answer:

- 3 and - 2

Step-by-step explanation:

y = | x - 3 | - 2

Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to a gallon, but cannot decide if she should multiply 6 by 4 or divide 6 by 4 to find her answer. What should she do? Explain or show your reasoning.

Answers

Given:

There are 4 quarts in a gallon.

She wants to convert 6 quarts to a gallon.

To find:

Whether she should multiply 6 by 4 or divide 6 by 4 to find her answer.

Solution:

We have,

[tex]4\text{ quarts}=1\text{ gallon}[/tex]

[tex]1\text{ quarts}=\dfrac{1}{4}\text{ gallon}[/tex]

[tex]6\text{ quarts}=\dfrac{6}{4}\text{ gallon}[/tex]

Here, 6 quarts is equal to [tex]\dfrac{6}{4}[/tex] gallon. It means we need to multiply 6 by 4 in [tex]4\text{ quarts}=1\text{ gallon}[/tex] to find the answer.

Please Helpp Asap It’s due Tomorrow

Answers

The answer is y = 1.5x

Answer:

y = 2.5

Step-by-step explanation:

if y = 0

x= 2.5

u do the y as 0 and x as 2.5

and then draw a straight line

The quotient of 4 ÷ 7 is a decimal number .How many digits in the quotient are overlined?

Answers

Answer:

2 digits in the quotient are overlined

answer this i need it quick PLEASE

Answers

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[tex] \frac{13x - 37}{2} = 2x + 13 \\ [/tex]

Multiply sides by 2

[tex]2 \times \frac{13x - 37}{2} = 2 \times (2x + 13) \\ [/tex]

[tex]13x - 37 = 4x + 26[/tex]

Subtract sides 4x

[tex] - 4x + 13x - 37 = - 4x + 4x + 26 \\ [/tex]

[tex]9x - 37 = 26[/tex]

Add sides 37

[tex]9x - 37 + 37 = 26 + 37[/tex]

[tex]9x = 63[/tex]

Divide sides by 9

[tex] \frac{9x}{9} = \frac{63}{9} \\ [/tex]

[tex]x = 7[/tex]

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[tex]DE = 2x + 13[/tex]

[tex]DE = 2(7) + 13[/tex]

[tex]DE = 14 + 13[/tex]

[tex]DE = 27[/tex]

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The correct answer is Option four .

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what has the product of 54 and sum of -15

Answers

Answer:

It should be

product = -9 and sum = -6

Step-by-step explanation:

Your welcome

Given the figure above, determine​

Answers

Answer:

The ∠B is 60*

Step-by-step explanation:

What percent of 100 is 67? *

(1) 100%
(2) 67%
(3) 167%
(4) 33%

Answers

67%

Convert fraction (ratio) 67 / 100 Answer: 67%

What Is Science?

100% (3/3)

Earth and Space Systems

67% (2/3)

Gravity's Role in the Universe

67% (2/3)

Interactions of the Earth, Moon, and Sun

67% (2/3)

Planets and Moons

100% (3/3)

Stars, Asteroids, and Comets

67% (2/3)

Energy Flow

100% (3/3)

Weathering and Erosion

100% (3/3)

The Rock Cycle

100% (3/3)

Plate Tectonics

100% (3/3)

Earth's Changing Surface

100% (3/3)

Matter and Energy

100% (3/3)

The Cycles of Earth

100% (3/3)

Natural Resources

100% (3/3)

Rearrange to make x the subject: 3x+8= has x+6y

Answers

Answer:

x=3y-4

Step-by-step explanation:

3x+8=x+6y

so the goal here is to make everything equal to x. first, let's move all the X's to one side by subtracting x on both sides.

2x+8=6y

now we want x alone on one side so we subtract 8 on both sides.

2x=6y-8

divide by 2

x=3y-4

Answer:

x = 3y - 4

Step-by-step explanation:

Given

3x + 8 = x + 6y ( subtract x from both sides )

2x + 8 = 6y ( subtract 8 from both sides )

2x = 6y - 8 ( divide all terms by 2 )

x = 3y - 4

Mr. Hernandez bought 16 meters of chain-link fencing. The section of his yard that needs to be fenced is 50 feet long. Did Mr. Hernandez buy enough fencing or does he need more fencing? (1 meter = 3.28 feet)

Answers

Answer:

yes

Step-by-step explanation:

i multiply the 16 to the ratio of meters to feet and got 52.4934

yes he bought enough.

The endpoints of a side of rectangle ABCD in the coordinate plane are at A (1, 11) and
B (3, 1). Find the equation of the line that contains the given segment.

The line segment is AD.

Answers

Answer:

y = -5x+16

Step-by-step explanation:

I think this is the answer. The slope of A and B is -5x, because

(1-11)/(3-1) = -5

Then solve for b by inputting one of the points

11 = -5(1) + b

11 = -5 + b

b = 16

Put it all together.

I think I answered this correctly..?

Hannah's favorite cereal comes in 2 sizes:
775 grams for $6.45 and
400 grams for $3.15.
Which is the better buy? Why?

Answers

The answer is 400grams. This is because if she buys two of these then it will still be cheaper then the other size and you'll get more grams.
I would say the 400 GRAMS is better to buy. Hope those helped!

Using a scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree. 3/8
a.
21°
b.
22°
c.
68°
d.
37°

Answers

Answer: A

Step-by-step explanation:

I plugged 3/8 into an inverse tangent calculator and got this answer.

The length of a piece of string with 4cm
cut off. Let s represent the unknown
length of string in cm.

Answers

Answer:

is this the full question?

Step-by-step explanation:

s - 4 cm represents the length of the piece of string after cutting off 4 cm. "s" is the unknown length.

A mathematical statement proving the equality of two expressions is known as an equation. Variables, constants and mathematical operations like addition, subtraction, multiplication, division and exponentiation are frequently included. Finding the value of the unknown variable that equalizes both sides of the equation is the aim of equation solving.

Let s = the unknown length of the string in cm.

the length of the string with 4 cm cut off:

The equation "s - 4 cm" represents the length of the string after cutting off 4 cm. "s" is the unknown length that needs to be determined.

learn more about equation here

brainly.com/question/33622350

#SPJ2

The complete question is- Write in a shorter way form of equation: a The length of a piece of string with 4cm cut off. Let s represent the unknown length of string in cm.​

Solve for x:
5x - (x + 4) + 1 = 3 - 2(x + 6)

Answers

Answer:

x = -1

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

5x - (x + 4) + 1 = 3 - 2(x + 6)

Step 2: Solve for x

Distribute:                          5x - x - 4 + 1 = 3 - 2x - 12Combine like terms:          4x - 3 = -2x - 9Add 2x on both sides:      6x - 3 = -9Add 3 to both sides:         6x = -6Divide both sides by 6:     x = -1

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    5(-1) - (-1 + 4) + 1 = 3 - 2(-1 + 6)Parenthesis (Add):        5(-1) - 3 + 1 = 3 - 2(5)Multiply:                        -5 - 3 + 1 = 3 - 10Subtract:                       -8 + 1 = -7Add:                              -7 = -7
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