The length of a rectangle is 18 cm and the width is 6 cm. A similar rectangle has a width of 2 cm.What is the length of the second rectangle? pls help im solving hw ._.

Answers

Answer 1

Given:

Two rectangles are similar.

Length of first rectangle = 18 cm

Width of first rectangle = 6 cm

Width of second rectangle = 2 cm

To find:

The length of the second rectangle.

Solution:

We know that the corresponding sides of similar triangles are proportional. So,

[tex]\dfrac{\text{Length of first rectangle}}{\text{Width of first rectangle}}=\dfrac{\text{Length of second rectangle}}{\text{Width of second rectangle}}[/tex]

Let x be the length of the second rectangle. Then,

[tex]\dfrac{18}{6}=\dfrac{x}{2}[/tex]

[tex]3=\dfrac{x}{2}[/tex]

[tex]3\times 2=x[/tex]

[tex]6=x[/tex]

Therefore, the length of the second rectangle is 6 cm.


Related Questions

A line goes through the point (6,-2) and has a slope of -3. What is the value of a if the point (a,7) lies on the line? a= ?​

Answers

m=y2-y1/x2-x1

7-(-2)/a-6=-3

9/a-6=-3

9=3a-18

3a=162

a=54

how tall is three feet

Answers

Answer: if you mean Inches, its 25.

Answer:

36 inches or 1 yard

Step-by-step explanation:

If the area of a rectangular prism is represented by the volume -5x^5 - 1 and the height is 5x + 5, what is the area of the base in terms of x?

Answers

Answer:

= -5[tex]x^{4}[/tex] - 1/5

0r

-5[tex]x^{4}[/tex] - 0.2

Step-by-step explanation:

Volume of a rectangular prism = area of base x height

-5[tex]x^{5}[/tex] - 1 = 5x + 5 x area of the base

to determine the area of the base, divide both sides of the equation by (5x + 5)

area of the base =  (-5[tex]x^{5}[/tex] - 1)  / (5x + 5)

= -5[tex]x^{4}[/tex] - 1/5

0r

-5[tex]x^{4}[/tex] - 0.2

Find the value of x in the given
right triangle.
12
x = [?]

X
62°
Enter your answer as a decimal rounded to the
nearest tenth.

Answers

Answer:

You divide 62/12=5.166

Gabriela swam 84 lengths of the pool in 1 hour. Which table correctly shows equivalent ratios for this situation?​

Answers

very easy my friendStep-by-step explanation:

Find the surface area of a water tower that is 40 feet tall and 20 feet across the base.
______ square feet​

Answers

Answer:

the surface area is 3140 square feet

Step-by-step explanation:

The computation of the surface area is given below:

Given that

Diameter = 20 feet

radius =  20 ÷ 2 = 10 feet

Surface area =  

= 2 × 3.14 × (10)^2 + 2 × 3.14 × 10 × 40

= 6.28  × 100  + 6.28  × 400

= 628 + 25.12  × 100

= 628+ 2512

= 3140 square feet

hence, the surface area is 3140 square feet

The surface area is 3140 feet².

What is Surface Area?

Surface area is the amount of space covering the outside of a three-dimensional shape.

Given that:

Diameter = 20 feet

radius =  20 ÷ 2 = 10 feet

Now, Surface area  will be,

=2πr²+ 2πrh

= 2 × 3.14 × (10)² + 2 × 3.14 × 10 × 40

= 6.28  × 100  + 6.28  × 400

= 628 + 25.12  × 100

= 628+ 2512

= 3140 feet²

hence, the surface area is 3140 feet².

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Place the indicated product in the proper location on the grid.
(x + 2y)2

Answers

Answer:

32

Step-by-step explanation:

d6 plus four nine its wrong "+_)

The sum of squares of two
numbers is 80 and the square of
difference between the two numbers
is 36. Find the product of two
numbers .

Answers

Answer:

the product of the 2 numbers is 22

Step-by-step explanation:

x² + y² = 80

(x - y)² = 36

=>

x - y = 6

or y - x = 6

let's start with the first one x-y=6

x = 6 + y

=>

(6+y)² + y² = 80

y² + 6y +6y + 36 + y² = 80

2y² + 12y + 36 = 80

2y² + 12y - 44 = 0

y² + 6y - 22 = 0

the solution of a quadratic equation

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case here we have an squadron in y.

a=1

b=6

c=-22

(-6 ± sqrt(36 + 4×22))/2 = (-6 ± sqrt(36+88))/2 =

= (-6 ± sqrt(124))/2 = (-6 ± sqrt(4×31))/2 =

= (-6 ± 2×sqrt(31))/2 = -3 ± sqrt(31)

y1 = -3 + sqrt(31)

y2 = -3 - sqrt(31)

=>

x1 = 6 + -3 + sqrt(31) = 3 + sqrt(31)

x2 = 3 - sqrt(31)

control :

(-3 + sqrt(31))² + (3 + sqrt(31))² = 80

9 - 3 sqrt(31) - 3 sqrt(31) + 31 + 9 +3 sqrt(31) + 3 sqrt(31) + 31 = 80

9 + 31 + 9 +31 = 80

18 + 62 = 80

80 = 80 correct

solving now for y-x=6

delivers exactly the same calculations, just with x and y trading places.

so, the resulting 2 number pairs are the same.

the product of the 2 numbers :

(3 + sqrt(31))(-3 + sqrt(31)) = -9 - 3 sqrt(31) + 3 sqrt(31) + 31 =

= -9 + 31 = 22

(3 - sqrt(31))(-3 - sqrt(31)) = -9 + 3 sqrt(31) - 3 sqrt(31) + 31 =

= 22

so, the product is the same in both cases.

Sam's Sweet Shoppe sells candy in bags of 30 pounds and bags of 50 pounds. Last week, Richard bought 300 pounds of candy for a birthday party from Sam's Sweet Shoppe. If at least one 30 pound bag of candy and at least one 50 pound bag of candy were purchased, what is the number of the 30 pound bags purchased?

Answers

Answer:

5

Step-by-step explanation:

30 x 5=150

then you buy 3, 50 pound bags: 3 x 50= 150

150+150=300

Answer:

5

Step-by-step explanation:

five is the only number(less then 10) that you can multiply by 30 to get a multiple of five

30x5=150

then you buy 3, 50 pound bags: 3x50= 150

150+150=300

Which of the following is the line of symmetry for the figure shown below?
B.
A. Line A
O
B. Line B
C. Line C
O D. This figure is not symmetrical.

Answers

Answer:

Line A

Step-by-step explanation:

A line of symmetry is a line that divides a shape into exactly two equal halves.

A triangle is a polygon with three sides and three angles. A scalene triangle has no lines of symmetry, an isosceles triangle has more than one line of symmetry while an equilateral triangle has three lines of symmetry.

From the diagram we can see that line A divides the figure into two equal halves, hence line A is the line of symmetry.

Express 60g as a percentage of 3kg?

Answers

Answer:

SOLUTION IS ON PICHOPE IT HELPS YOUMARK AS BRAINLIST ANSWER

Factorize 24x3y2 – 12x2y ASAP

Answers

Answer:

12x²y(2xy - 1)

Step-by-step explanation:

Given

24x³y² - 12x²y ← factor out 12x²y from each term

= 12x²y(2xy - 1)

A chemistry examination has 2 sections.
Section A has 80 marks.
Section B has 60 marks.
Alex scores 55% in Section A.
What is the greatest percentage Alex can now get in the whole examination?
Give your answer to 3 significant figures.​

Answers

Answer:

65%in a whole examination

Does someone know what the answer is? Please, help.

Answers

Answer:

III

Step-by-step explanation:

you got this, man! good luck [:

Need help on this question asap please

Answers

Answer:

[tex]\dfrac{1}{6.25} = \dfrac{t}{25}[/tex]

Step-by-step explanation:

A proportion is setting two ratios to be equal to each other.

You are given the price of 1 ticket, so you can set up a ratio of price to ticket.

$6.25 to 1 ticket, or [tex] \dfrac{6.25}{1} [/tex]

The other ratio involves the $25 and the unknown number of tickets, t, $25 can buy.

$25 to t tickets, or [tex] \dfrac{25}{t} [/tex]

To write a proportion, set the two ratios equal.

[tex] \dfrac{6.25}{1} = \dfrac{25}{t} [/tex]

This proportion does not appear in the choices.

Take the reciprocal of both sides.

[tex]\dfrac{1}{6.25} = \dfrac{t}{25}[/tex]

D 51° F E 17 m Find the length DE. O 10.7 m O 13.2 m O 13.8 m 0 21.0 m O 21.9 m 0 27.0 m​

Answers

D 51 is correct that is the correct anwser

answer please!! It's due tomorrow ​

Answers

Answer:

15) The length of the line segment DE is 14.908.

16) The measure of the angle W is approximately 31.792°.

17) The length of the ladder is approximately 23.182 feet.

Step-by-step explanation:

15) We present the procedure to determine the length of segment DE:

(i) Determine the length of the line segment DF by trigonometric relations:

[tex]\tan C = \frac{DF}{CF}[/tex] (1)

([tex]C = 61^{\circ}[/tex], [tex]CF = 24[/tex])

[tex]DF = CF\cdot \tan C[/tex]

[tex]DF = 24\cdot \tan 61^{\circ}[/tex]

[tex]DF \approx 43.297[/tex]

(ii) Determine the length of the line segment DE by trigonometric relations:

[tex]\tan F = \frac{DE}{DF}[/tex] (2)

([tex]DF \approx 43.297[/tex], [tex]F = 19^{\circ}[/tex])

[tex]DE = DF\cdot \tan F[/tex]

[tex]DE = 43.297\cdot \tan 19^{\circ}[/tex]

[tex]DE \approx 14.908[/tex]

The length of the line segment DE is 14.908.

16) We present the procedure to determine the measure of the angle W:

(i) Determine the length of the line segment XZ by trigonometric relations:

[tex]\sin Z = \frac{XY}{XZ}[/tex] (3)

([tex]XY = 15[/tex], [tex]Z = 25^{\circ}[/tex])

[tex]XZ = \frac{XY}{\sin Z}[/tex]

[tex]XZ = \frac{15}{\sin 25^{\circ}}[/tex]

[tex]XZ \approx 35.493[/tex]

(ii) Calculate the measure of the angle W by trigonometric relations:

[tex]\tan W = \frac{XZ}{WZ}[/tex] (4)

([tex]XZ \approx 35.493[/tex], [tex]WZ = 22[/tex])

[tex]W \approx \tan^{-1} \left(\frac{22}{35.493}\right)[/tex]

[tex]W \approx 31.792^{\circ}[/tex]

The measure of the angle W is approximately 31.792°.

17) The system form by the ladder, the ground and the wall represents a right triangle, whose hypotenuse is the ladder, which is now found by the following trigonometric relation:

[tex]\cos \theta = \frac{x}{l}[/tex] (5)

Where:

[tex]\theta[/tex] - Angle of the ladder above ground, in sexagesimal degrees.

[tex]x[/tex] - Distance between the foot of the ladder and the base of the wall, in feet.

[tex]l[/tex] - Length of the ladder, in feet.

If we know that [tex]x = 6\,ft[/tex] and [tex]\theta = 75^{\circ}[/tex], then the length of the ladder is:

[tex]l = \frac{x}{\cos \theta}[/tex]

[tex]l = \frac{6\,ft}{\cos 75^{\circ}}[/tex]

[tex]l \approx 23.182\,ft[/tex]

The length of the ladder is approximately 23.182 feet.

find the slope of the line represented by the data below

slope=

Answers

QUËSTIONS:- find the slope of the line represented by the data

ANSWER:-

[tex]SLOPE = \frac{y2 -y1}{x2 - x1} \\ SLOPE = \frac{3 - 9}{4 - 2} [/tex]

[tex]SLOPE = \frac{ - 6}{2} \\ SLOPE = - 3 \: \: ans[/tex]

Answer:

-3

Step-by-step explanation:

Slope(m)=-6/2

=-3/1

=-3

Hope this helps!

asap plz give answer

Answers

Answer:

B) Rotation

Step-by-step explanation:

The arrows at the end of each line imply a line, not a line segment. Since the they both pass through the origin, they rotate about the origin, hence B) Rotation.

Answer:

A I'm about 89% certain that's a vertical translation

Linda is building steps for her porch. What is the volume of the first step?



Answer quick please!

Answers

Answer:

ok to do this we multiple 60 times 60 to get 3600

now we multiple this by 120

432000

now we divide this by 4

108000

so the volume of the first step is 108000 cm cubed

Find the measure of a single exterior angle of the regular polygon shown below. If necessary, round to the nearest tenth.

Answers

Answer:

32.7 degrees

Step-by-step explanation:

This polygon has 11 sides.

The measure of all exterior angles adds up to 360.

Find the measure of a single exterior angle by dividing 360 by the number of sides.

360/11 ≈ 32.7

The measure of a single exterior angle of the given regular polygon is 32.5 degrees

We have given that the diagram of regular polygon shown below

and, we have to find the measure of a single exterior angle.

Therefore we have the given polygon has 11 sides.

What is the meaning of exterior angle?

The angle between a side of a rectilinear diagram and adjacent side extended outward.

The measure of all exterior angles adds up to 360.

We have to find the measure of a single exterior angle by dividing 360 by the number of sides

So we get,[tex]360/11 = 32.7[/tex]

Therefore, the measure of a single exterior angle of the given regular polygon is 32.5 degrees.

To learn more about the exterior angle visit:

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Kip has a collection of 68 marbles. Each glass marble has a mass of 18.5 grams. Each steel marble has a mass of 66 grams. What is the total mass of 48 glass marbles and 20 steel marbles in kilograms? PLS HELP!

Answers

Answer:

2.208 kg

Step-by-step explanation:

Total mass of glass marble

= 18.5×48

= 888 g

Total mass of steel marble

= 66×20

= 1320 g

Total mass of 68 marble including steel 20 and glass 48

= 888 + 1320

= 2208 g

In kilograms 2208

= 2.208 kg

Please mark as brainliest answer

The area of a rectangle is represented by the function A = n^3 - 6n^2 - 8n + 48.
What is the perimeter of the rectangle? Describe how you found your answer.

Answers

Answer:

P = 2(n - 6) + 2(n^2 - 8)

Step-by-step explanation:

Remembering that Area = Length times Width, we factor the given function

A = n^3 - 6n^2 - 8n + 48 in the expectation that the resulting factors represent the length and width respectively:

A = n^3 - 6n^2 - 8n + 48 factors as follows:

A = n^2(n - 6) - 8(n - 6), or A = (n - 6)(n^2 - 8)

We can label '(n - 6)' "width" and '(n^2 - 8'

length.

Then the perimeter, P, of the rectangle is P = 2(length) + 2(width). which works out here to:

P = 2(n - 6) + 2(n^2 - 8)

Please Help? For the function f(x) = 2|x – 1|, what is the average rate of change over the interval –1 ≤ x ≤ 1?
average rate of change:__

Answers

Answer:   -2

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

Explanation:

Plug in x = -1 to find that

f(x) = 2|x-1|

f(-1) = 2|-1-1|

f(-1) = 2|-2|

f(-1) = 2*(2)

f(-1) = 4

If you repeat for x = 1, you should find that f(1) = 0

--------

Now use the average rate of change formula below. Effectively, we're using the slope formula more or less.

[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(1)-f(-1)}{1-(-1)}\\\\m = \frac{0-4}{1+1}\\\\m = \frac{-4}{2}\\\\m = -2\\\\[/tex]

The average rate of change on this interval is -2

This is the same as finding the slope through the points (-1, 4) and (1, 0).

Find the lateral area of this square based pyramid. 10in 5 in [ ? ]in?​

Answers

Answer:

Step-by-step explanation:

Lateral area, Al = a√(a² + 4h²)

Where,

a = base edge = 5 in

h = height = 10 in

Lateral area, Al = a√(a² + 4h²)

= 5√(5² + 4*10²)

= 5√(25 + 4*100)

= 5√(25 + 400)

= 5√425

= 5 * 20.615528128088

= 103.07764064044

Approximately,

Lateral area = 103.08 in²

Answer: 100

Step-by-step explanation: each side has an area of 10*5/2, or 25, and there are 4 lateral sides, so times 4, it's 100

A side of the triangle below has been extended to form an exterior angle of 62°. Find the value of x

Answers

Answer:

16 degrees

Step-by-step explanation:

62= 46+x

16=x

The focus is the point inside a _____________ that helps determine the shape of the curve.
1.vertix
2.parabola
3.directrix
4.quadratic

Answers

4 quabratic

I answered it recently

The focus is the point inside a parabola that helps determine the shape of the curve.

What is a parabola?

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x - h)² + k

We have,

A parabola is a type of curve that is formed when a plane intersects a cone at an angle that is parallel to one of the cone's sides.

One of the key defining features of a parabola is that all points on the curve are equidistant from a fixed point, known as the focus, and a fixed line, known as the directrix.

The focus is located inside the parabola, and its distance from the directrix is equal to the distance from any point on the parabola to the directrix.

This property allows us to use the focus and directrix to determine the shape and location of the parabola.

Thus,

The focus is the point inside a parabola that helps determine the shape of the curve.

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The diagram shows a right angled triangle.
Find the size of angle x
Give your answer correct to 1 decimal place

Answers

Ans:40.8°

Step-by-step explanation:

sin(x)=17/26

x<π/2

x=0.7126... or 2.4289...

But x=2.4289...>π/2

So only 0.7126... meets

(0.7126.../π)*180°≈40.8°

so the answer is 40.8°

Change the negative exponent to a positive exponent

Answers

Answer:

[tex] \frac{1}{ {6}^{8} } [/tex]

Step-by-step explanation:

when the is a base raised to a negative power.....put it under 1 and the negative power now becomes a positive power

Example: 5^-2 = 1/5^2

Question 2 - Cost of a Paver
The pavers cost $8 per square metre ($8/m?). There are 4 pavers in a
square metre.
Calculate how much one paver costs. Show your working
2$ each

Answers

Answer:

8$ divided by 4.which is equal to 2

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