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3 years ago

Find the area of the regular hexagon PQRSTU of sides 8 cm as shown in the figure

Mathematics

1 answer:

Lemur [1.5K]3 years ago

6 0

Answer:

Area = 245m^2

Step-by-step explanation:

We can split this figure into 2 parts, a rectangle and a trapezoid.

Rectangle Sides = 10m and 20m

Area = 10m x 20m = 200m

Trapezoid formula = a+b/2(h)

a and b are the 2 bases and h is the height

Using a little deductive reasoning we get the following, 5+10/2(6)

This simplifies to 15/2(6) -->

7.5(6) = 45

Thus, our area is 200 + 45, or 245m^2

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Which polynomial expression represents a sum of cubes? (6 – s)(s2 + 6s + 36) (6 + s)(s2 – 6s – 36) (6 + s)(s2 – 6s + 36) (6 + s)

Nadusha1986 [10]

Answer:

Option 3 is correct that is $(6+s)(s^2-6s+36)$

Step-by-step explanation:

We have general formula for sum of cube which is

$a^3+b^3=(a+b)(a^2+b^2-ab)$

Here, we have a=s and b=6

on substituting the values in the formula we will get

$6^3+s^3=(6+s)(s^2+6^2-6s)$

After simplification we will get

$6^3+s^3=(6+s)(s^2+36-6s)$

After rearranging the terms we will get

$6^3+s^3=(6+s)(s^2-6s+36)$ which exactly matches option 3 in the given options.

Therefore, option 3 is correct that is $(6+s)(s^2-6s+36)$

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Answer:

This function would be even.

Step-by-step explanation:

You can tell a function is even if you plug in -x for x and then simplify and it is the same function. This is the case below.

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