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Lelu [443]
3 years ago
13

A rectangle has coordinates A(-4, 3), B(0, 0), C(6, 8), D(2, 11). What is the area of the rectangle?

Mathematics
1 answer:
asambeis [7]3 years ago
5 0

Any polygon given by a list of 2D vertex coordinates has area given by the shoelace formula.

That's the absolute value of half the sum of the cross products of the sides.  We form the table of the vertices. We include the first vertex at the end, then calculate the cross product of the side, (a,b) then (c,d) gives cross product ad-bc.

         cross product

-4 3  0

0 0   0

6 8    6(11)-8(2) = 66 - 16 = 50

2 11   2(3) - (11)(-4) = 50

-4 3

So the area is (1/2)(50+50) = 50

Answer: 50

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Step-by-step explanation:

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4 years ago
Please answer! It would be appreciated if work is also shown!
borishaifa [10]

Quantity of paint left = \frac{389}{480} gallons

Solution:

Quantity of yellow paint = 1\frac{1}{5}=\frac{6}{5} gallons

Quantity of green paint = 1\frac{1}{6}=\frac{7}{6} gallons

Quantity of blue paint = \frac{7}{8} gallons

Quantity of paint used = \frac{3}{4} gallons of each paint

Quantity of paint left = 1-\frac{3}{4}=\frac{1}{4} gallons of each paint

Quantity of paint left = (\frac{6}{5}+\frac{7}{6}+\frac{7}{8})\times\frac{1}{4}

Taking LCM for 5, 6, 8, we get LCM = 120

(\frac{6}{5}+\frac{7}{6}+\frac{7}{8})\times\frac{1}{4}=(\frac{144}{120}+\frac{140}{120}+\frac{105}{120})\times\frac{1}{4}

                         =(\frac{389}{120})\times\frac{1}{4}

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Hence, Mark will have \frac{389}{480} gallons of paint left after painting the mural.

3 0
3 years ago
Jonathan is making his favorite pasta dish he served his mom 1/12 of the pot of pasta and his brother 1/6 of the pot. how much o
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3/4
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ch4aika [34]

Answer:

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Step-by-step explanation:

To find the volume of a shape like this it is,

base×height×width.

In this case it is .5×.5×3=.75cm³

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3 years ago
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