the perimeter of a square is 66.8 cm. What is the side lengh of the square​

Answers

Answer 1

Side length = 16.7 cm

Solution:

Perimeter of a square given = 66.8 cm

In a square four sides are equal.

The perimeter of a square = 4 × side

⇒ 4 × side = 66.8 cm

Divide both sides of the equation by 4 to equal the expression.

⇒ side = 66.8 ÷ 4

⇒ side = [tex]\frac{66.8}{4}[/tex]

⇒ side = 16.7 cm

Hence, the side length of the square is 16.7 cm.


Related Questions

What is the approximate volume of a cone with a radius of 15 cm and a height of 4 cm? Round your answer to the nearest hundredth and include units

Answers

Answer:

Volume of a cone [tex]=942.86cm^3[/tex]

Step-by-step explanation:

Given that the radius of a cone is 15cm and its height is 4cm

That is r=15cm and h=4cm

To find the volume of a cone :

volume of a cone[tex]=\frac{\pi r^2h}{3}[/tex] cubic units

Now substitute the values in the formula we get

volume of a cone[tex]=\frac{(\frac{22}{7}) (15)^2(4)}{3}[/tex]  

[tex]=\frac{(\frac{22}{7}) (225)(4)}{3}[/tex]

[tex]=\frac{19800}{21}[/tex]

[tex]=942.857[/tex]

Now round to nearest hundredth

[tex]=942.86[/tex]

Therefore Volume of a cone[tex]=942.86cm^3[/tex]

What is eight and five sixths minus fifty

Answers

The answer is -41.1666666667 :)

Select all that apply.
With wich information can you construct more than one triangle with.

1.the measurement of two angles
2.the measurement of two angles and the length of the included side
3.the measurements of all the right angles
4.the lengths of the two sides and the measurement of the included angle

Answers

Final answer:

You can construct more than one triangle with Option 1) the measurement of two angles and option 2) the length of the included side, and Option 4) the lengths of the two sides and the measurement of the included angle.

Explanation:

Constructing triangles depends on the given information. According to the rules of geometry, 1) the measurement of two angles alone is not enough to construct a unique triangle. 2) With the measurement of two angles and the length of the included side (also known as Angle-Side-Angle or ASA), you can construct a unique triangle. 3) The measurements of all right angles is irrelevant as a triangle can have only one right angle. 4) With the lengths of two sides and the measurement of the included angle (also known as Side-Angle-Side or SAS), you can also construct a unique triangle.

Therefore, with the measurement of two angles and the length of the included side and the lengths of the two sides and the measurement of the included angle, you can construct more than one triangle.

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What numbers have 12,24 and 36 as multiples?

Answers

Answer:

The answer is 2,3,4 and ,6

Step-by-step explanation:

This is because 12,24,and 36 can all be divided by 2,,3,,4, and 6

collins middle school has 264 sixth grade students. if the sixth grade is 40% of the total school, how many students are in the middle school? please help !!!

Answers

Answer:

660

Step-by-step explanation:

y x .40= 264

solve for y

Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and y-intercept. Slope 4; y-intercept (0,-8/9)
Type answer in slope-intercept form

Answers

[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{-\frac{8}{9}}) ~\hspace{10em} \stackrel{slope}{m}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{\left(-\cfrac{8}{9} \right)}=\stackrel{m}{4}(x-\stackrel{x_1}{0}) \\\\\\ y+\cfrac{8}{9}=4x\implies y = 4x-\cfrac{8}{9}[/tex]

Slope-intercept form:   y = mx + b   [m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y)]

Since you know:

m = 4

[tex]b=-\frac{8}{9}[/tex]        Plug it into the equation

y = mx + b

[tex]y=4x-\frac{8}{9}[/tex]

Which system of linear inequalities has the point (2,1) in its solution set

Answers

Answer:

the 2nd one

Step-by-step explanation:

Answer:

its D in edge

Step-by-step explanation:

Madeline is selling sketches for $2 and
color prints for $5 at a comic convention.
Madeline leaves the table and asks her
friend Chris to run the table for her. She
returns to find Chris has made $93. Chris
doesn't know how many of each item he
sold, but he remembers that he sold a
total of 30 sketches and colored prints.
Below is Madeline's work in determining
how many of each item was sold.

Answers

Answer:

A,B,C

Step-by-step explanation:

When we look at her work, which you write in comment we can see that she make mistake. So lets answer your questions .

A) Because we cannot have 8.25 prints, we can just have integer 8 or 9. or some other integer.

B) explain Madeline mistake :

2(30-p)+5p=93 in this she needs to multiply 2 by 30 and 2 by -p, which she didnt.

C) When we correct mistake we can evaluate how much Chris sell.

60-2p+5p=93

3p=33

p=11

s=30-p=19

So, Chris sells prints 11 and sketches 19

323.6 divided by 47 rounded to the nearest tenth

Answers

6.9

323.6/4=6.885

Round to the nearest tenth=6.9

What is x in -3x-8y=20, -5x+y=20

Answers

The value of x is -4.186

Solution:

Given equations,

[tex]-3x-8y=20\rightarrow(1)[/tex]

[tex]-5x+y=20\rightarrow+y=20+5x\rightarrow (2)[/tex]

On substituting (2) in (1) we get,

-3x-8(20+5x)=20

-3x-160-40x=20

On solving we get,

-160-43x=20

-43x=20+160

On grouping the known and unknown terms,

x=180/-43

x=-4.1860

Find the exact value of the side of a square whose
area is 48 in².

Answers

Answer:

6.93 in

Step-by-step explanation:

[tex]A = s^{2}[/tex]

[tex]48 = s^{2}[/tex]

[tex]\sqrt{48} = \sqrt{s^{2} }[/tex]

[tex]s = 6.92820323028 in[/tex]

Answer:

Step-by-step explanation:

side = √48 = √4*4*3 = 4*√3 = 4 * 1.732 =6.928 in

could someone help me in this quest plz
Reflections, rotations, and translations are types of transformations. A reflection flips an image, a rotation spins an image, and a translation slides an image. Draw a shape on a piece of paper and cut it out. Then, flip it, spin it, and slide it. Explain how each transformation affects the size and shape of the image you drew.

Answers

Answer:

Step-by-step explanation:

first if you reflect an image its still identical think of it  as a  mirror its the same  but on the other side. so if you  flip it over the x or y axis it would  just be  as if you  folded the paper and shape is on the other side.                                                a rotation would be as if you moved the shape to another quadrant so if you move it 90 degres to the left  it would be  be turned  slightly and a transformation if you slide it up the image is however many  space it was from its current location. so each one moves it from its current location

Answer:Even if you mirror an image, it remains the same. Imagine it as a mirror with the same thing on the opposite side. Therefore, if you turned it over on the x or y axis, the shape would be on the other side just like if you had folded the paper. A transformation would be like sliding the object up however many spaces it was from its current location. For example, if you moved the shape 90 degrees to the left, it would be turned somewhat. A rotation would be like moving the shape to another quadrant. so they all relocate it from their current positions.

Step-by-step explanation:

Arrange the zoo animals from greatest to least according to their weights.

elephant: 5.5 × 103 kilograms

giraffe: 1.6 × 103 kilograms

lion: 1.9 × 102 kilograms

Bengal tiger: 2.2 × 102 kilograms

giant panda: 1.2 × 102 kilograms









Answers

Elephant
Bengal tiger
Lion
Giraffe
Giant panda

Answer:

Elephant

Bengal tiger

Lion

Giraffe

Giant panda

Step-by-step explanation:

In △ABC, m∠A=35°, a=12, and b=14. Find c to the nearest tenth.

Answers

Answer:

c=45

Step-by-step explanation:

In triangle ABC, if a=12, b=10 and the measure of angle C=45 ..

Answer:

20.4

Step-by-step explanation:

I don’t need an explanation I just need the answer

Answers

Answer:

C

Step-by-step explanation:

Answer:

the answer is the third one

4a=16, a=10
What’s the answer?

Answers

Answer: = 4 + 0.5b i think

-90 greater than or equal to 18x

Answers

Answer:

The required Expression is

[tex]-90 \geq 18x[/tex]

Also for x Divide by 18 on both the side

[tex]\dfrac{-90}{19}\geq \dfrac{18x}{18}\\\\-5\geq x\\\\x\leq -5[/tex]

Step-by-step explanation:

-90 greater than or equal to 18x .

It is the Algebraic Expression in Statement form.

Algebraic Expression is given in the form numbers and variables with the operands such as,

' + ' Plus Sign

' - ' Minus Sign

' > ' Greater Sign

' = ' Equal Sign

' ≥ ' Greater than or Equal to Sign ,etc.

Here -90 Greater than or Equal 18 x

Therefore , -90 ≥ 18x

The required Expression is

[tex]-90 \geq 18x[/tex]

Also for x Divide by 18 on both the side

[tex]\dfrac{-90}{19}\geq \dfrac{18x}{18}\\\\-5\geq x\\\\x\leq -5[/tex]

chris had 11 toys * a square = 22​

Answers

Answer:

242

Step-by-step explanation:

11x22=242

Give PQ=24,PS=19,PR=42,TQ=10 mPQR=106,mQRS=49 and PRS=35

Answers

Answer:

QR = 19

SR = 24

PT = 21

SQ = 20

m∠QRS = 74°

m∠PQS = 49°

m∠RPS = 39°

m∠PSQ = 57°

Step-by-step explanation:

Attached is the complete question:

By definition, a parallelogram is a quadrilateral, which means it has 4 sides where the opposite pairs are parallel to each other. These pair of sides are congruent.

With that we can assume the following:

PQ ≅ SR

PS ≅ QR

m∠PQR ≅ m∠ PSR

m∠QRS ≅ m∠ QPS

The given states that:

PQ ≅ SR

PS ≅ QR

then:

PQ = 24

PS = 19

So we know that:

QR = 19

SR = 24

When it comes to the angles, we have the following theorems:

Opposite angles (Opposite edges) are congruent

Consecutive angles are supplementary, or they sum up to 180°

We are given the following angles:

m∠PQR = 106°

m∠QSR = 49°

m∠PRS = 35°

Based on the theorems we know the following:

m∠PQR ≅ m∠PSR

m∠PQR + m∠QRS = 180°

Then:

m∠PQR + m∠QRS = 180°

106° + m∠QRS = 180°

m∠QRS = 180° - 106°

m∠QRS = 74°

In addition, m∠PSR = 106° and m∠QSR = 49° then when we add it to m∠PSQ it should be equal to m∠PSR

m∠QSR + m∠PSQ = m∠PSR

49° + m∠PSQ = 106°

m∠PSQ = 106° - 49°

m∠PSQ = 57°

Now notice that a parallelogram when you cut them in half, it makes two congruent triangles. All angles in a triangle sum up to 180° so we can assume that:

m∠PSR + m∠PRS + m∠RPS = 180°

So:

106° + 35° + m∠RPS = 180°

141° + m∠RPS = 180°

m∠RPS = 180° - 141°

m∠RPS = 39°

Following the same logic:

m∠QPS ≅ m∠QRS

m∠QPS  = 74°

m∠QPS + m∠PSQ + m∠PQS = 180°

74° + 57° + m∠PQS = 180°

131° + m∠PQS = 180°

m∠PQS = 180° - 131°

m∠PQS = 49°

Clara has a purse in the shape of a trapezoid the top of the purse measures 22 cm while the bottom of the part measures 36 cm if the area of the purse is 754 centimeters what is the height

Answers

The height of purse which is in trapezoid shape is 26 cm

Solution:

Clara has a purse in the shape of a trapezoid

The area of trapezoid is given by formula:

[tex]Area = \frac{a+b}{2} \times h[/tex]

Where,

"h" is the height

"a" and "b" are the parallel sides length

From given,

Area = 754 cm

a = 22 cm

b = 36 cm

h = ?

Substituting the values in formula,

[tex]754 = \frac{22+36}{2} \times h\\\\754 = \frac{58}{2} \times h\\\\Simplify\ the\ above\ expression\\\\754 = 29h\\\\Divide\ both\ sides\ of\ equation\ by\ 29\\\\h = 26[/tex]

Thus height of purse which is in trapezoid shape is 26 cm

Simplify completely X + 12x +35
3x + 15
somety company 05. ( pomen
11 point
+21
X + 5
+ 11
x +7

Answers

Answer:

X + 12x +35+3x + 15=16x+50

Step-by-step explanation:

Solve for a.
α+ (-7) = -17
What is the answer?
Ο α = -24
Ο
= -10
O a = 10
O a = 24




HELPPPP

Answers

The correct answer is -10

Answer:

a=24

Step-by-step explanation:

a+(-7)=-17

a+(-7)(+7)=-17+7

a=24

Pls help solve with steps

Answers

Answer:

Step-by-step explanation:

God what grade are u in

Line that is parallel to y= -3/2x-1

Answers

Answer:

See below.

Step-by-step explanation:

There is an infinite number of lines parallel to y = -3/2x - 1.

They have the same slope, -3/2, and a different y-intercept.

Examples:

y = -3/2x + 1

y = -3/2x

y = -3/2x - 5

Thomas is training for a race by running on a circular path. He knows that it is 0.75 mile
from the tree in the center of the circular path to the path. How long is the path?

Answers

the tree to the edge of the path acts as a radius. use the formula to find a circles perimeter to find the length of the path, which is 2r(pi). 2r=1.5, so multiple that by pi. if pi is simplified to 3.14, the circumference of the circle/length of the path would be 4.71 miles.

The length of the path that Thomas runs on the circular path is approximately 4.71 miles.

Thomas is training for a race by running on a circular path. To find out the length of the path, we need to calculate the circumference of the circle using the radius provided (0.75 mile from the tree in the center of the circular path to the path).

The formula for the circumference of a circle is [tex]C = 2 \times \pi \times r,[/tex] where C is the circumference and r is the radius of the circle.

Substituting the given radius (0.75 mile) into the formula gives us: [tex]C = 2 \times \pi\times 0.75.[/tex]

By using 3.14159 as an approximation for π the calculation would be

[tex]C = 2 \times 3.14159 \times 0.75 = 4.71238875 miles.[/tex]

Therefore, the length of the path that Thomas runs on the circular path is approximately 4.71 miles.

Find the sticker price for a vehicle with the following features and costs: suggested retail price of $12,720, destination charge of $460, equipped with cruise control, defogger, and an AM/FM radio for $235, $148, and $153, respectively.
a $14,480
b $13,256
c $12,720
d$13,716

Answers

The right answer is Option D.

Step-by-step explanation:

Given,

Retail price = $12,720

Destination charge = $460

Cruise control = $235

Defogger = $148

AM/FM radio = $153

Sticker price = Sum of all feature costs

Sticker price = 12720+460+235+148+153

Sticker price = $13716

The right answer is Option D.

Keywords: addition

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Final answer:

To find the vehicle's sticker price, add the suggested retail price to the destination charge and the costs of additional features, resulting in a total of $13,716.

Explanation:

The question involves calculating the total sticker price for a vehicle by adding up various costs. We start with the suggested retail price, then include the destination charge and the costs of the additional features such as cruise control, defogger, and an AM/FM radio.

Start with the suggested retail price: $12,720.Add the destination charge: $460.Add the cost of cruise control: $235.Add the cost of the defogger: $148.Add the cost of the AM/FM radio: $153.

To find the total sticker price, we simply add all of these amounts together:

Sticker Price = Suggested Retail Price + Destination Charge + Cost of Cruise Control + Cost of Defogger + Cost of AM/FM Radio

Sticker Price = $12,720 + $460 + $235 + $148 + $153 = $13,716

Therefore, the correct answer is d. $13,716.

PLEASE CAN SOMEONE,ANYONE HELP ME. This is a 7th grade math homework please HELP ME

Answers

Answer:

Step-by-step explanation:

It’s positive

-16

$3.85 per gallon

The lines y = x and x = a enclose a triangle with the x- and y-axes.
a) Find the area of the triangle when a = 5

Answers

Answer: 12.5

Step-by-step explanation:

As y=x has a slope of 1, it will intersect the line x = 5 at a value of 5, creating an isocoles right triangle with leg length 5. The area of a triangle = (b*h)/2. (5*5)/2 = 12.5 square units

Final answer:

To find the area of the triangle enclosed by the lines y = x and x = a when a = 5, we need to determine the coordinates of the vertices of the triangle. The vertices are (0, 0), (5, 0), and (5, 5). Using the coordinates, we can find the base and height of the triangle and then apply the formula for the area of a triangle.

Explanation:

To find the area of the triangle enclosed by the lines y = x and x = a, where a = 5, we need to determine the coordinates of the vertices of the triangle. The vertices will be the points where the lines intersect the axes. For y = x, the vertex is (0, 0), and for x = a, the vertex is (5, 0). The third vertex will be the point where these two lines intersect, which can be found by substituting the value of a into the other equation. So, when a = 5, the third vertex is (5, 5).

We can now use the coordinates of the vertices to find the base and height of the triangle. The base is the distance between the points (0, 0) and (5, 0), which is 5 units. The height is the distance between the points (5, 0) and (5, 5), which is also 5 units.

The formula for the area of a triangle is (1/2) × base × height. Substituting the values, we have (1/2)× 5 × 5 = 12.5 square units. Therefore, the area of the triangle when a = 5 is 12.5.

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Explain why when a rectangular prism is sliced at an angle a variety of shapes can be formed.

Answers

Answer:

A two-dimensional slice of a three-dimensional solid is called a cross section. Rectangular prisms have the unique property that a perpendicular cross section (a slice of the prism at a 90-degree angle) always creates a rectangle, no matter where on the prism the cross section is taken.

There are three different types of cross sections of a rectangular prism: x-axis, y-axis and z-axis cross sections, corresponding to slices along one of the three dimensions of space. The sum of these three cross sections is equal to half the surface area of the prism.


Final answer:

Different shapes are formed when a rectangular prism is sliced at different angles due to the way the cut intersects the prism's dimensions. For instance, if you cut diagonally or at an angle, the resulting face could be a parallelogram or even a triangle.

Explanation:

When a rectangular prism is sliced at an angle, a variety of shapes can form because of the geometry and dimensions of the prism. Imagine a simple rectangular prism, like a cube. If you slice it horizontally or vertically, you’ll simply create smaller rectangles or squares. However, if you cut diagonally or at an angle, the resulting face could be a parallelogram or even a triangle, depending on how the cut is made. This is a result of changing the orientation of the cut relative to the prism's structure. So, the variety of shapes come as a result of the way the cut intersects the prism's dimensions.

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Which of the following system of equations is not equal to the system of equations shown
7x - 3y = 4
2x - 4y = 1

A. 28x - 12y = 16 and -6x + 12y = -3
B. 14x - 6y = 4 and -14x + 28y = 1
C. -28x + 12y = -16 and 28x - 56y = 14

Answers

Answer:

B

Step-by-step explanation:

7x - 3y = 4

2x - 4y = 1

==============

A. if u take 7x - 3y = 4....and multiply it by 4, u get 28x - 12y = 16

   if u take 2x - 4y = 1...and multiply it by -3, u get -6x + 12y = -3

  These are equivalent equations

B. if u take 7x - 3y = 4...multiply it by 2, u get 14x - 6y = 8

  not equivalent

C. if u take 7x - 3y = 4, multiply it by -4, u get -28x + 12y = -16

  if u take 2x - 4y = 1, multiply it by 14, u get 28x - 56y = 14

   equivalent equations

   

Answer:

28x - 12y = 16 and -6x + 12y = -3

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