[answer asap]

the perimeter of the original rectangle on the left is 30 meters. the perimeter of the reduced rectangle on the right is 24 meters.

[see image]

what is x, the width of the original rectangle on the left? round to the nearest hundredth if necessary.

[answer Asap]the Perimeter Of The Original Rectangle On The Left Is 30 Meters. The Perimeter Of The Reduced

Answers

Answer 1

Answer:

The width of the original rectangle on the left is [tex]5\ m[/tex]

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

so

Let

z -----> the scale factor

a ----> perimeter of the reduced rectangle on the right

b ----> perimeter of the original rectangle on the left

[tex]z=\frac{a}{b}[/tex]

we have

[tex]a=24\ m[/tex]

[tex]b=30\ m[/tex]

substitute

[tex]z=\frac{24}{30}=0.8[/tex]

step 2

Find the width of the reduced rectangle on the right

we know that

The perimeter of rectangle is equal to

[tex]P=2(L+W)[/tex]

we have

[tex]L=8\ m[/tex]

[tex]P=24\ m[/tex]

substitute and solve for W

[tex]24=2(8+W)[/tex]

[tex]12=(8+W)[/tex]

[tex]W=12-8=4\ m[/tex]

step 3

Find the width of the original rectangle on the left

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

so

Let

z -----> the scale factor

y ----> the width of the reduced rectangle on the right

x ----> the width of the original rectangle on the left

[tex]z=\frac{y}{x}[/tex]

we have

[tex]y=4\ m[/tex]

[tex]z=0.8[/tex]

substitute and solve for x

[tex]0.8=\frac{4}{x}[/tex]

[tex]x=\frac{4}{0.8}[/tex]

[tex]x=5\ m[/tex]


Related Questions

Coach Rogers listed the number of the different types of balls in the storage room. 10 Baseballs, 4 Basketballs, 12 Softballs, 4 Soccer balls, 20 Tennis balls. What is the ratio of baseballs to all of the balls? *

Answers

10:50

Or

1:5

Hope this helps!

Final answer:

The ratio of baseballs to the total number of balls in the storage room is 1:5. For every one baseball, there are five balls of any type.

Explanation:

We are looking for the ratio of baseballs to total balls. We find the total by adding the number of each type of balls: 10 (baseballs) + 4 (basketballs) + 12 (softballs) + 4 (soccer balls) + 20 (tennis balls) = 50 balls in total.

Now that we know the total, we can find the ratio of baseballs to the total amount of balls. There are 10 baseballs from a total of 50 balls. Thus, the ratio would be 10:50. Simplified, this ratio would be 1:5. This means for every one baseball, there are five balls of any type.

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Write in vertex form y= -3x^2-18x-31

Answers

Answer:

I'm not sure if your asking for an entire equation but the points for the vertex would be (-3,-4)

ANSWER

[tex]y = - 3( {x + 3)}^{2} - 4[/tex]

EXPLANATION

The given function is

[tex]y = - 3 {x}^{2} - 18x - 31[/tex]

Factor -3

[tex]y = - 3( {x}^{2} + 6x) - 31[/tex]

Add and subtract the square of half the coefficient of x.

[tex]y = - 3( {x}^{2} + 6x + {3}^{2} ) - - 3( {3)}^{2} - 31[/tex]

[tex]y = - 3( {x}^{2} + 6x + {3}^{2} ) + 27 - 31[/tex]

Apply perfect squares,

[tex]y = - 3( {x +3)}^{2} - 4[/tex]

The vertex form is:

[tex]y = - 3( {x +3)}^{2} - 4[/tex]

log4(x+2)-log4(x+3)=-1​

Answers

Answer:

Step-by-step explanation:

I take it that the base of the log is 4.

So the question can be written as

log_4 [(x+2)/(x + 3)] = -1

If you take the antilog of this, you get

(x + 2)/(x+3) = 4^-1 = 1/4

Now Cross Multiply

4*(x + 2) = 1*(x + 3)               Remove  the brackets on both sides

4x + 8 = x + 3                       subtract x from both sides.

4x - x + 8 = x - x + 3             Combine

3x + 8 = 3                             Subtract 8 from both sides

3x = 3 - 8                              Combine

3x = - 5                                 Divide by 3

x = - 5/3

asap here plz I'm lost at this equation ​

Answers

Answer:

I believe the answer is C

Hope This Helps!  Have A Nice Day!!

Answer:

y= 2

Step-by-step explanation:

In the formula d=/(x2-x1)^2+(y2-y1)^2 , how does each subtraction expression relate to the Pythagorean theorem?

Answers

Answer:

A

Step-by-step explanation:

I don't think you need this

Answer:

option A

Step-by-stevvp explanation:

In the formula [tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

The formula is used to find the distance between two points

(x2-x1) gives the length of one leg

(y2-y1) gives the length of another leg

In a right angle triangle , Pythagorean theorem is [tex]c=\sqrt{a^2 + b^2}[/tex]

where a and b represents the sides of the triangle

Each subtraction expression in the formula represents the leg of the right angle triangle with the hypotenuse of length d

Which is the same as 98.52 ÷ 10?

Answers

Answer:

9.852 x 10 is the same outcome of 98.52/10. Can I have the brainliest answer?

Hope this helped!!!! :) <3 have a good day ma dude

9.852

but 9.8 if ya want to keep it short.

It just makes sense ¯\_(ツ)_/¯

What is the simplified form of the following expression? Assume y=0 ^3 sqrt 12x^2/16y

Answers

For this case we must simplify the following expression:

[tex]\sqrt [3] {\frac {12x ^ 2} {16y}}[/tex]

We rewrite the expression as:

[tex]\sqrt[3]{\frac{4(3x^2)}{4(4y)}}=\\\sqrt[3]{\frac{4(3x^2)}{4(4y)}}=\\\frac{\sqrt[3]{3x^2}}{\sqrt[3]{4y}}=[/tex]

We multiply the numerator and denominator by:

[tex](\sqrt[3]{4y})^2:\\\frac{\sqrt[3]{3x^2}*(\sqrt[3]{4y})^2}{\sqrt[3]{4y}*(\sqrt[3]{4y})^2}=[/tex]

We use the rule of power[tex]a ^ n * a ^ m = a ^ {n + m}[/tex] in the denominator:

[tex]\frac{\sqrt[3]{3x^2}*(\sqrt[3]{4y})^2}{(\sqrt[3]{4y})^3}=\\\frac{\sqrt[3]{3x^2}*(\sqrt[3]{4y})^2}{4y}=[/tex]

Move the exponent within the radical:

[tex]\frac{\sqrt[3]{3x^2}*(\sqrt[3]{16y^2}}{4y}=\\\frac{\sqrt[3]{3x^2}*(\sqrt[3]{2^3*(2y^2)}}{4y}=[/tex]

[tex]\frac{2\sqrt[3]{3x^2}*(\sqrt[3]{(2y^2)}}{4y}=\\\frac{2\sqrt[3]{6x^2*y^2}}{4y}=[/tex]

[tex]\frac{\sqrt[3]{6x^2*y^2}}{2y}[/tex]

Answer:

[tex]\frac{\sqrt[3]{6x^2*y^2}}{2y}[/tex]

Answer: choice D

Step-by-step explanation: took it on edge

Which equation is equivalent to the given equation.

Answers

The answer is the first option:

Answer:

Sorry to copy the other answer but plzz give the other person brainlist becuase I am doing a challenge on answering 5 mathematical questions in 2 days.

Step-by-step explanation:

A. (x+7)^2 -12=0

In the diagram, AB is parallel to DE. Also, DE is drawn such that the length of DE is half the length of AB. If sin A = 0.5, then what is sin E?


A) 2
B) 1
C) 0.5
D) 0.25
E) 0.1

Random answers will be reported!

Answers

Answer:

C) 0.5

Step-by-step explanation:

Since DE is parallel to AB, angle FDE = ABF and  DEF = angle FAB

In fact, both triangles (ABF and DEF) are similar to each other because their interior angles are identical.

So, if sin(A) = 0.5, sin(E) = 0.5 too.

Answer:

C.  

0.5

Step-by-step explanation:

here are the ingredients for making a trifle for four people. 120g strawberry jelly,8 sponge fingers, 420ml custard and 180g tinned fruit. Kevin is going to make a trifle for 3 people. work how much of each ingredients he needs

Answers

Answer:

For 3 people Kevin would need 90g of strawberry jelly, 6 sponge fingers, 315ml of custard and 135g of tinned fruit.

Step-by-step explanation:

To work this out you would need to work out how many ingredients would be needed for 1 person, so you would need to divide each ingredient amounts by 4. (For example for the strawberry jelly you would do 120÷4 which is 30).

Then, to work out how many ingredients would be needed for 3 people you would need to multiply the ingredient amounts by 3. (Like 30×3 is 90).

How do you solve this? Pls help

Answers

Part of the illustration is carved off.

Multiply the polynomials (8x^2+6x+8)(6x-5) Apex

Answers

Answer:

[tex]48x^3+76x^2+78x+40[/tex]

Step-by-step explanation:

[tex](8x^2+6x+8)(6x+5)\\\\48x^3+36x^2+48x+40x^2+30x+40[/tex]

Now that we have distributed the values, we must now combine like terms

[tex]48x^3+36x^2+48x+40x^2+30x+40\\\\48x^3+(36x^2+40x^2)+(48x+30x)+40\\\\48x^3+76x^2+78x+40[/tex]

Answer: 48x^3 -4x^2 + 18x -40

Step-by-step explanation: multiply 8x^2 by 6x and -5 ➡ 48x^3 - 40x^2

multiply 6x by 6x and -5 ➡ 36x^2 -30x

multiply 8 by 6x and -5 ➡ 48x -40

now add the like terms

48x^3 - 40x^2 + 36x^2 -30x + 48x -40 ➡48x^3 -4x^2 + 18x -40

A bicycle has a listed price of $519.99 before tax. If the sales tax rate is 7.75%, find the total cost of the bicycle with sales tax included

Answers

Answer:

$560.29

Step-by-step explanation:

To find the total price, first, find out how much of $519.99 is 7.75%

To do this convert %7.75 into a decimal [divide by 100]

7.75% = 0.0775

Now multiply 0.0775 by $519.99

519.99 x 0.0775 = 40.299225

Since 40.299225 is an amount of money, round it to the nearest hundreth in cents.

40.299225 = 40.30

Now add the sales tax and original price.

$40.30 + $519.99 = 560.29

So, the cost of the bicycle after sales tax is $560.29

Which expression is equivalent to...? Assume... screenshots attached, please help!

Answers

Answer:

[tex]\frac{\sqrt[3]{5} }{3x}[/tex]

Step-by-step explanation:

Ok, let's do this step by step....

[tex]\sqrt[3]{\frac{10x^{5} }{54x^{8} } }[/tex]

Let's first simplify the x's:

[tex]\sqrt[3]{\frac{10}{54x^{3} } }[/tex]

Then we breakdown the 54 as 2 * 27 then simplify with the 10 above.

[tex]\sqrt[3]{\frac{10}{2 * 27x^{3} } } = \sqrt[3]{\frac{5}{27x^{3} } }[/tex]

Now, we can rewrite this as the following and solve the bottom part:

[tex]\frac{\sqrt[3]{5} }{\sqrt[3]{27x^{3} } } = \frac{\sqrt[3]{5} }{3 \sqrt[3]{x^{3} } } = \frac{\sqrt[3]{5} }{3x}[/tex]

The solution is

[tex]\frac{\sqrt[3]{5} }{3x}[/tex]

Help plz I don’t remember the formula we did this so long ago

Answers

Answer:

45 cm^2

Step-by-step explanation:

The formula you have written in pencil is correct.

Area = B*H

B = 9

H = 5

Area = 5*9

Area = 45 cm^2

The difference between two times six and five

Answers

Answer:

The difference between 2 × 6 and 2 × 5 is ...

2 × 5  = 10

And,

2 × 6 = 12

So if you subtract 12 - 10

= 2

Therefor,  the difference is by 2

* Hopefully this helps:) Mark me the brainliest:)!!

~ 234483279c20~

Have a good day :)!!

The difference between two times six and five is calculated by first multiplying two by six to get twelve, then subtracting five from twelve, resulting in seven.

The student has asked about the difference between two times six and five. To solve this, we first calculate two times six, which gives us twelve. Then, we subtract five from twelve to find the difference. Therefore, the calculation we need to make is 12 - 5 = 7.

So, the difference between two times six and five is seven.

in a triangle there is three angles..one is 32° other is 116° what is the third one?

Answers

Answer:32 degrees

Step-by-step explanation:a triangle total is 180 degrees. So subtract 116 and 32 by 180 to get 32

Answer: 32°

Step-by-step explanation: Hello There! The Answer is 32°. This is because when we add up 116° and 32° we get 148° to get the Answer we subtract 148° from 180° and we get a difference of 32°.

Determine the equations of the vertical and horizontal asymptotes if any for h(x)=(x+1)^2/x^2-1

Answers

ANSWER

Vertical asymptote:

x=1

Horizontal asymptote:

y=1

EXPLANATION

The given rational function is

[tex]h(x) = \frac{ {(x + 1)}^{2} }{ {x}^{2} - 1 } [/tex]

[tex]h(x) = \frac{ {(x + 1)}^{2} }{ ({x} - 1)(x + 1)} [/tex]

[tex]h(x) = \frac{ (x + 1)(x + 1) }{ ({x} - 1)(x + 1)} [/tex]

[tex]h(x) = \frac{ x + 1}{ {x} - 1} [/tex]

The vertical asymptote occurs at

[tex] {x} - 1 = 0[/tex]

[tex]x = 1[/tex]

The vertical asymptotes is x=1

The degree of the numerator is the same as the degree of the denominator.

The horizontal asymptote of such rational function is found by expressing the coefficient of the leading term in the numerator over that of the denominator.

[tex]y = \frac{1}{1} [/tex]

y=1

Answer:

x=1

y=1

Step-by-step explanation:

C on edge!

A baker had eighteen boxes for donuts. He ended up making seven hundred sixty-three donuts and splitting them evenly between the boxes. How many extra donuts did he end up with?

Answers

Answer:

7

Step-by-step explanation:

PLEASE ANSWER THIS FOR 98 POINTS!!! I REALLY NEED THIS!!!! I'LL GIVE U BRRAINLIEST IF U GET IT!!!! In an office, each light panel holds two light bulbs. Which of the following shows how the number of light bulbs, y, changes as the number of light panels, x, changes? A.
Y
B.
X
C.
Z
D.
W

Answers

Answer:

the second one with points 1,2 and 2,4

Step-by-step explanation:

The graph will be a straight line that starts at the origin and rises diagonally to the right with a slope of 2. The correct graph id graph 2

How to determine the correct graph

Since each light panel holds two light bulbs, the number of light bulbs, y, is directly proportional to the number of light panels, x. This means that as the number of light panels increases, the number of light bulbs will also increase in a linear manner.

The relationship can be represented by the equation:

y = 2x

Where y represents the number of light bulbs and x represents the number of light panels.

The graph representing the relationship between the number of light panels, x, and the number of light bulbs, y, will be a straight line.

In this case, the line will have a positive slope of 2 since each light panel holds two light bulbs. This means that for every increase of one unit in the number of light panels, the number of light bulbs will increase by two units.

The graph will pass through the origin (0, 0) since when there are no light panels (x = 0), there will be no light bulbs (y = 0).

As x increases, y will also increase in a linear manner. The line will extend indefinitely in the positive direction in both the x-axis and y-axis, indicating that the relationship continues without any upper limit.

Visually, the graph will be a straight line that starts at the origin and rises diagonally to the right with a slope of 2.

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daniel y sus amigos van a un parque de diversiones para subirse a la bola de fuego q cuesta $5 y a los carros chocones q cuestan $1 menos . si daniel sube un total de 11 veces y gasta $50 ¿cuantas veces subio a cada atraccion?

Answers

Answer:

6 & 5

Step-by-step explanation:

Daniel and his friends go to an amusement park to get on the fireball that costs $ 5 and the bumper cars cost $ 1 less. If Daniel climbs a total of 11 times and spends $ 50, how many times did he go up to each attraction?

costo de la bola de fuego: $5

costo de los coches de choque: 5 - 2 = $4

número de veces que montó bola de fuego = b

número de veces que montó de choque: m

b + m = 11 --> b = 11 - m

5b + 4m = 50

5(11 - m) + 4m = 50

55 - 5m + 4m = 50

m = 5

b + 5 = 11

b = 6

Logan can read at a rate of 2/3 page per minute. At that rate, how many pages can he read in 2 hours?

Answers

Final answer:

Logan can read 80 pages in 2 hours.

Explanation:

To find out how many pages Logan can read in 2 hours, we need to calculate the total number of minutes in 2 hours, which is 120 minutes. Then, we can multiply the rate at which Logan reads, which is 2/3 page per minute, by the total number of minutes to get the answer.

So, Logan can read:
(2/3) x 120 = 80 pages

Therefore, Logan can read 80 pages in 2 hours.

Find the Value of X. ​

Answers

Answer: 5

Step-by-step explanation: The dot in the middle of the circle is the center point of the circle. This means that it bisects every point from one edge to the other cutting through the middle. The two vertical red lines in the middle of the circle indicate they are the same measure. knowing this and that the angle interiors are 90 degrees, we can conclude that x is the same length as the 5 diagonal from it.  

Answe is 5..

The (.) is the center of the circle..

The (|) mesns these lines are equal..

The angles also are right angles and equal..

Means the length ofvthis line also equals the other line = 5

In a class experiment, Debra finds that the probability that a student has more than three siblings is 3/25 . If the school population is 350, how many students would we expect to have more than three siblings, based on Debra's experiment? A)15 B)25 C)35 D)42

Answers

Answer:

choice D) 42 is the final answer.

Step-by-step explanation:

Population of the school = 350

Debra finds that the probability that a student has more than three siblings is [tex]=\left(\frac{3}{25}\right)[/tex]

Then the number of students that we expect to have more than three siblings, based on Debra's experiment [tex]=350\cdot\left(\frac{3}{25}\right)[/tex]

[tex]=\left(\frac{1050}{25}\right)[/tex]

[tex]=42[/tex]

Hence choice D) 42 is the final answer.

Kyle fills the candle
mold with liquid candle wax. If the
candle has a volume of 99 cubic
inches, what is the width of the
mold?

Answers

1*3=3

99/3= 33

1*3*33=99

Answer:33in

What is the product of 2x + y and 5x – y + 3?

Answers

Answer:

The product of 2x + y and 5x – y + 3 is 10x^2+ 3xy + 6x - y^2 + 3y

Step-by-step explanation:

The product of the two expressions can be expressed mathematically as;

(2x +y) (5x -y +3)

To obtain the product of these expressions, we simply expand the brackets as follows;

2x(5x -y +3) + y(5x -y +3)

= 10x^2 - 2xy + 6x + 5xy - y^2 + 3y

= 10x^2- 2xy + 5xy + 6x - y^2 + 3y

= 10x^2+ 3xy + 6x - y^2 + 3y

The product of 2x + y and 5x – y + 3 is thus 10x^2+ 3xy + 6x - y^2 + 3y

Answer: 10x^2 +3xy +  6x + -1y^2 + 3y

Step-by-step explanation:

write the following parametric equations as a polar equation x=t^2 y=2t

Answers

Answer:

[tex]r=4\csc \theta \cot\theta[/tex]

Step-by-step explanation:

The given parametric equations are;

[tex]x=t^2[/tex]

[tex]y=2t[/tex]

We make t the subject in the second equation to get:

[tex]t=\frac{y}{2}[/tex]

We substitute into the first equation to get:

[tex]x=(\frac{y}{2})^2[/tex]

We use the relation:

[tex]x=r\cos \theta[/tex] and [tex]y=r\sin \theta[/tex]

[tex]r\cos \theta=(\frac{r\sin \theta}{2})^2[/tex]

[tex]r\cos \theta=\frac{r^2\sin^2 \theta}{4}[/tex]

[tex]r=4\csc \theta \cot\theta[/tex]

An equation is formed of two equal expressions. The polar form of parametric equations x=t² and y=2t is r = 4cosecθ cotθ.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The following parametric equation x=t² and y=2t in the form of a polar equation can be written as,

y=2t

t = y/2

Substituting the value of y from the second equation in the first,

x = (y/2)²

Using the basic relation we can write, the value of x and y as,

x = r cosθ

y = r sinθ

substitute the value of x and y,

r cosθ = [(r sinθ)/2]

r sinθ = (r²sin²θ)/4

r = 4cosecθ cotθ

Hence, the polar form of parametric equations x=t² and y=2t is r = 4cosecθ cotθ.

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Alicia cashed her paycheck and set aside the other half to take her friends out to dinner. She spent 42.15 on dinner and brought home more than 20.00. Write an inequality to represent the situation, using x to represent the amount of Alicia’s paycheck

Answers

Answer:

about $63

Step-by-step explanation:

Answer:

[tex]0.5x-42.15>20[/tex]

Step-by-step explanation:

Let x represents the amount of Alicia’s paycheck.

Alicia set aside the other half to take her friends out to dinner. That means she took 0.5x with her for dinner.

She spent 42.15 on dinner and brought home more than 20.00.

So, the inequality will be :

[tex]0.5x-42.15>20[/tex]

Solving for x;

=> [tex]0.5x>20+42.15[/tex]

=> [tex]0.5x>62.15[/tex]

x > 124.30

Help please. The question is...

Answers

Answer:

A (2+3n)÷5

Step-by-step explanation:

Lets break this down into step by step.

1) it says that it is the quotient of two. This means that we are dividing by a number. So the answer has to be dividing. So that means it's A or C

2) it says 2 more than 3 times a number n. This shows that the 2 is adding to 3 times n. so that canceled out C meaning it's A.

Simplify this expression: (3s13)(9s-5)

Answers

Answer: 39s(9s-5)

Step-by-step explanation:

(3s*13) (9s-5)

remove the parenthesis ex: (a)=a

3s*13 (9s-5)

Multiply the numbers

39s(9s-5)

Step-by-step explanation:

[tex](3s^{13})(9s-5)\qquad\text{use the distributive property}\ a(b-c)=ab-ac\\\\=(3s^{13})(9s)-(3s^{13})(5)\\\\=27s^{14}-15s^{13}[/tex]

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