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3 years ago

3. Find the area of the polygon. Show your work.

Mathematics

1 answer:

nata0808 [166]3 years ago

3 0

To solve this problem, you can split the shape into a triangle and a parallelogram.
You can do this by imagining/drawing a line from point A to point C>

Now you can work out the area of triangle ACB
1/2 x b x h
1/2 x 5 x 3
= 7.5

Now work out the area of the parallelogram ACDE
b x h
5 x 3 = 15

Add the areas together and then you have the answer
7.5 + 15 = 22.5

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Harlamova29_29 [7]

Answer:

The speeds of the cars is: 0.625 miles/minute

Step-by-step explanation:

We use systems of equations in two variables to solve this problem.

Recall that the definition of speed (v) is the quotient of the distance traveled divided the time it took : $v=\frac{distance}{time}$ . Notice as well that the speed of both cars is the same, but their times are different because they covered different distances. So if we find the distances they covered, we can easily find what their speed was.

Writing the velocity equation for car A (which reached its destination in 24 minutes) is:

$v\,*\,24\,min=d_A$

Now we write a similar equation for car B which travels 5 miles further than car A and does it in 32 minutes:

$v\,*\,32\,min=d_A+5\,miles$

Now we solve for $d_A$ in this last equation and make the substitution in the equation for car A:

$v\,*\,32\,min=d_A+5\,miles\\d_A=v\,*\,32\,min-5\,miles\\\\v\,*\,24\,min=v\,*\,32\,min-5\,miles\\v\,(24\,min-32\,min)=-5\,miles\\v\,(-8\,min)=-5\, miles\\v=\frac{-5}{-8} \frac{miles}{min} \\v=0.625\,\frac{miles}{min}$

So this is the speed of both cars: 0.625 miles/minute

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3 years ago

How do i do this? it doesn't make sense

Genrish500 [490]

Answer:

The answer is B. 581/90

Step-by-step explanation:

just divide 581 by 90 and you'll find that it is equivelent to 6.4<u>5</u>

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2 years ago

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rodikova [14]

Answer:

1 makes this problem true

Step-by-step explanation:

-1t+14=3t+10

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dsp73

Answer:

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Step-by-step explanation:

if its right plz mark brainiest

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