MATHEMATICS HIGH SCHOOL

A school librarian can buy books at a 20% discount from the list price. One month she spent $72 for books. What was the list price value of the books? Is the answer $90?

Answers

Answer 1

Answer:

Answer:

$\boxed{\sf \ \ YES \ \ }$

Step-by-step explanation:

Hello

let's say that the price of the book was x

the price after a 20% discount is x - 20%*x = x*(1-20%)=x*(1-.20)=0.8*x

and this is $72 so we can write that

0.8*x=72

and then divide by 0.8 both parts

x = 72/0.8=90

So the list price value of the book is $90

and we can verify as 90 - 20%*90 = 90 - 18 = 72

Hope this helps

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Find the rectangular coordinates of the point with the polar coordinates (7, 2pi/3)

Answers

The rectangular coordinate of the given polarcoordinate will be (- 3.5,6.062).

What are coordinates?

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

As per the given polar coordinates,

(7, 2π/3)

It is known that, x = r cosθ and y = r sinθ.

x = 7 cos(2π/3) and y = 7 sin(2π/3)

x = -3.5 and y = 6.062

Hence "The rectangular coordinate of the given polarcoordinate will be (- 3.5,6.062)".

For more about coordinates,

brainly.com/question/7869125

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Polar coordinates are given by (r,θ).
Rectangular coordinates are given by (x,y)=(rcos θ,rsin θ)

You are given the r and the θ.

You need to find what 7cos(2π3) is, then find 7sin(2π3).

x=−7/2
y=7√3/2

Find the distance between the points (1, 4) and (-2, -1).

Answers

The distance between the two points is √34

Distance between two points

The formula for calculating the distance between two points is expressed as:

D = √(x2-x1)² + (y2-y1)²

Given the coordinate points (1, 4) and (-2, -1). Substitute into the formula to have:

D = √(-1-4)² + (-2-1)²

D = √(-5)² + (-3)²

D = √25 + 9

D = √34

Hence the distance between the two points is √34

Learn more on distance here: brainly.com/question/23848540

Answer:

(3,5)count manually to get(3,5)

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