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2 years ago

What is the area of the regular trapezoid below? - 6 cm T 8 cm 10 cm

Mathematics

1 answer:

Elenna [48]2 years ago

5 0

Answer:

Area = 64 cm²

Step-by-step explanation:

To find the area, we have to follow some steps:

=> <u>Step 1: Make the bases similar:</u>

Since we have 2 bases given 6 and 10 we have to come up with a third base by finding their average:

(6 + 10) / 2

(16) / 2

So now that we know our base,

=><u> Our second step is to multiply the base we found by the height of the trapezoid:</u>

Area = common base * height

Area = 8 * 8

Area = 64 cm²

Hope this helps!

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HELP ASAP 40 POINTS

AleksandrR [38]

Given:

The sequence is -8, -12, -16.

To find:

The nth and 52th term of the given sequence.

Solution:

We have,

-8, -12, -16

It is an AP because the difference between consecutive terms are equal. Here, first term is -8 and the common difference is

$r=a_2-a_1$

$r=-12-(-8)$

$r=-12+8$

$r=-4$

The nth term of an AP is

$a_n=a+(n-1)d$

Where, a is first term and d is common difference.

Putting a=-8 and d=-4, we get

$a_n=-8+(n-1)(-4)$

$a_n=-8-4n+4$

$a_n=-4-4n$

Putting n=52, we get

$a_{52}=-4-4(52)$

$a_{52}=-4-208$

$a_{52}=-212$

Therefore, the equation for the nth term of the given sequence is $a_n=-4-4n$ and the 52nd term of the sequence is -212.

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2 years ago