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2 years ago

Next, you will make a scatterplot. Name a point that will be on your scatterplot and describe what it represents.

Mathematics

1 answer:

klio [65]2 years ago

8 0

The point (12, 190) means that the temperature after 12 hours is 190 degrees Celsius

<h3>How to make a scatter plot?</h3>

To do this, we make use of the following points

(12, 190), (14, 201), (15, 301), (16, 305), (18, 350), (20, 40), (25, 450)

Where x represents the number of hours and y represents temperature

See attachment for the scatter plot.

<h3>The description of a point</h3>

To do this, we make use of the point (12, 190)

This means that the temperature after 12 hours is 190 degrees Celsius

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3 years ago

An artificial lake is in the shape of a rectangle and has an area of 9/20 square mile the width of the lake is 1/5 the length of

DIA [1.3K]

Answer: The dimensions are:   " 1.5 mi.  × ³⁄₁₀ mi. " .
_______________________________________________
{ length = 1.5 mi. ; width = ³⁄₁₀  mi. } .
________________________________________________
Explanation:
___________________________________________
Area of a rectangle:

A = L * w ;

in which: A = Area = (9/20) mi.² ,
L = Length = ?
w = width = (1/5)*L = (L/5) = ?
________________________________________
A = L * w ; we want to find the dimensions; that is, the values for
"Length (L)" and "width (w)" ;
_______________________________________
Plug in our given values:
_______________________________________
(9/20) mi.² = L * (L/5) ; in which: "w = L/5" ;

→ (9/20) = (L/1) * (L/5) = (L*L)/(1*5) = L² / 5 ;

   ↔ L² / 5 = 9/20 ;

  → (L² * ? / 5 * ?) = 9/20 ?

→ 20÷5 = 4 ; so; L² *4 = 9 ;

    ↔ 4 L² = 9 ;

→ Divide EACH side of the equation by "4" ;

→ (4 L²) / 4 = 9/4 ;
______________________________________
to get: → L² = 9/4 ;
Take the POSITIVE square root of each side of the equation; to isolate "L" on one side of the equation; and to solve for "L" ;
___________________________________________

→   ⁺√(L²) = ⁺√(9/4) ;

→   L = (√9) / (√4) ;

→ L = 3/2 ;

→ w = L/5 = (3/2) ÷ 5 = 3/2 ÷ (5/1) = (3/2) * (1/5) = (3*1)/(2*5) = 3/10;
________________________________________________________
Let us check our answers:
_______________________________________
(3/2 mi.) * (3/10 mi.) =? (9/20) mi.² ??

→ (3/2)mi. * (3/10)mi. = (3*3)/(2*10) mi.² = 9/20 mi.² ! Yes!
______________________________________________________
So the dimensions are:

Length = (3/2) mi. ; write as: 1.5 mi.

width = ³⁄₁₀ mi.
___________________________________________________
or; write as: " 1.5 mi. × ³⁄₁₀ mi. " .
___________________________________________________

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