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4 years ago

15

If eight out of every thirteen trick-or-treaters that came to your house last Halloween were dressed as knights, what proportion

of trick-or-treaters were not dressed as knights?

1 answer:

yanalaym [24]4 years ago

3 0

5/13 kids weren't dressed as knights

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At a store, a hat has a regular price of x dollars. During a sale, the price of the hat is discounted by 20%. The expression 0.8

mihalych1998 [28]

Answer: D) x - 0.2x

Step-by-step explanation:

The hat has a regular price of x dollars.

This price is reduced by 20% so the relevant expression for the discount is; 20% * x or; 0.2x

The discounted price will be the price of the hat less the discount which means the formula will be;

= Price - discount

= x - 0.2x

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Pi time radius squared divided by two

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the table shows the shoe colour of 21 people a bar chart showing this information has been started a) fill in the lable for the

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Step-by-step explanation:

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3 years ago

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