Ask question

Ask question

All categories

3 years ago

15

Mrs.Smith has two similiar recycling bins in her office. The dimension of the smaller bin can be found by dilating the dimension

of the larger bin by scale factory of 0.75

1 answer:

nikklg [1K]3 years ago

8 0

Answer:

The dimension of the larger bin is x and the smaller bin is $0.75x$ .

Step-by-step explanation:

Let the dimension of the larger bin is x.

It is given that the dimension of the smaller bin can be found by dilating the dimension of the larger bin by a scale factor of 0.75

In order to find the dimension of the smaller bin multiply the dimension of the larger bin by 0.75

$(x)(0.75)=0.75x$

Hence, the dimension of the larger bin is x and the smaller bin is $0.75x$ .

You might be interested in

Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point. (a) (5, 3π/2) (x, y) = (b) (

Vlad1618 [11]

Answer:

$A)(5,\frac{3\pi}{2})=(0,-5)\:B)(\frac{3}{2} , \frac{\pi}{4} ) \Rightarrow (\frac{3\sqrt{2}}{4} ,\frac{3\sqrt{2}}{4} )\:C)(-1,\frac{\pi}{6})= (\frac{\sqrt{3}}{2},\frac{1}{2})$

Step-by-step explanation:

1) Check the Polar Coordinates on the graph.

2) A polar coordinate is given in $(r,\theta)$ Let's transform each polar coordinate into Cartesian one. Considering:

A)

$x=rcos\theta\\y=rsin\theta\\$

$A) (5,\frac{3\pi}{2})\\cos(\theta)=\frac{x}{5}\\cos(\frac{3\pi}{2})=\frac{x}{5}\:Cross\: Multiplying\\x=5 cos(\frac{3\pi}{2})\\x =5 cos(0)\:x=0\\sin(\frac{3\pi}{2})=\frac{y}{5}\\y=5sin(-1)\\y=-5\\(0,-5)$

B) (b) (3/2 , π/4)

$B) (\frac{3}{2},\frac{\pi}{4})\\cos(\theta)=\frac{x}{\frac{3}{2}}\\\frac{3}{2}cos(\frac{\pi}{4})=x\:Cross\: Multiplying\\x=\frac{3}{2}*\frac{\sqrt{2}}{2}\\x =\frac{3\sqrt{2}}{4} \approx 1.06$

$y=\frac{3}{2}sin(\frac{\pi}{4})\Rightarrow y =\frac{3\sqrt{2}}{4}$

$B)(\frac{3}{2} , \frac{\pi}{4} ) \Rightarrow (\frac{3\sqrt{2}}{4} ,\frac{3\sqrt{2}}{4} )$

C) (c) (−1, −π/6)

$C) (-1,-\frac{\pi}{6})\\cos(\theta)=\frac{x}{-1}\\-cos(\frac{-\pi}{6})=x\:Cross\: Multiplying\\x=\frac{\sqrt{3}}{2}$

$(-1,-\frac{\pi}{6})\\sin(\theta)=\frac{x}{-1}\\-sin(\frac{-\pi}{6})=x\:Cross\: Multiplying\\x=\frac{1}{2}$

$C)(-1,\frac{\pi}{6})= (\frac{\sqrt{3}}{2},\frac{1}{2})$

6 0

3 years ago

DENIUS [597]

Answer:wow

Step-by-step explanation:

wow

5 0

2 years ago

Read 2 more answers

Given f(x)=-1/7√16-x^2 find f^-1(x)

Vera_Pavlovna [14]

Answer:

$f^{-1}(x)=\pm \sqrt{49x^2-16}$

Not a function.

Step-by-step explanation:

The given function is;

$f(x)=-\frac{1}{7}\sqrt{16-x^2}$

Let $y=-\frac{1}{7}\sqrt{16-x^2}$

Interchange x and y;

$x=-\frac{1}{7}\sqrt{16-y^2}$

Solve for y;

$-7x=\sqrt{16-y^2}$

Square both sides

$(-7x)^2=(\sqrt{16-y^2})^2$

$49x^2^2=16-y^2$

$49x^2^2-16=y^2$

$y=\pm \sqrt{49x^2-16}$

The inverse is

$f^{-1}(x)=\pm \sqrt{49x^2-16}$

$f^{-1}(x)=\pm \sqrt{49x^2-16}$ is not a function because one x-value maps onto to different y-values.

6 0

4 years ago

Hudson and his children went into a restaurant and where they sell hamburgers for $5.50 each and tacos for $3 each. Hudson has $

Fiesta28 [93]

Answer:

he could buy the minimum of 9 hamburgers.

Step-by-step explanation:

if he buys 2 tacos that would be $6

60-6=54 which means he has $54 left.

$54/$5.50=9.8 which means he can buy 9.8 burgers without going over his budget.

But you cant jus buy .8 of a hamburger so the answer is 9. tada

3 0

3 years ago

Read 2 more answers

A coat regularly priced at $188 is on sale for 25% off. What is the sale price?

AleksandrR [38]

(188)(.25)=$47
47-188=$141
$141 would be the answer

3 0

3 years ago