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3 years ago

Calculate the area of the irregular polygon shown below:

Mathematics

2 answers:

nlexa [21]3 years ago

5 0

Area of the polygon = multiply all sides
10 * 5 * 4 * 3 * 4 * 3 * 5 = 36000in^2

Answer = 36000in^2

mr Goodwill [35]3 years ago

3 0

Answer:

26 in²

Step-by-step explanation:

If we consider the outside rectangle, then subtract the 2 congruent white rectangles.

Area of outside rectangle = 10 × 5 = 50 in²

Area of 2 white rectangles = 2 × 4 × 3 = 24 in²

Thus the area of the E shape = 50 - 24 = 26 in²

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Which expression is equivalent to (5g^4+5g^3-17g^2+6g)-(3g^4+6g^3-7g^2-12)/g+2

ankoles [38]

Option C:

$2 g^{3}-5 g^{2}+6$

Solution:

Given expression:

$$\frac{\left(5 g^{4}+5 g^{3}-17 g^{2}+6 g\right)-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right)}{g+2}$

To find which expression is equal to the given expression.

$$\frac{\left(5 g^{4}+5 g^{3}-17 g^{2}+6 g\right)-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right)}{g+2}$

Expand the term $-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right):-3 g^{4}-6 g^{3}+7 g^{2}+12$

$$=\frac{5 g^{4}+5 g^{3}-17 g^{2}+6 g- 3 g^{4}-6 g^{3}+7 g^{2}+12}{g+2}$

Arrange the like terms together.

$$=\frac{5 g^{4}- 3 g^{4}+5 g^{3}-6 g^{3}-17 g^{2}+7 g^{2}+6 g+12}{g+2}$

$$=\frac{2 g^{4}- g^{3}-10 g^{2}+6 g+12}{g+2}$

Factor the numerator $2 g^{4}-g^{3}-10 g^{2}+6 g+12=(g+2)\left(2 g^{3}-5 g^{2}+6\right)$

$$=\frac{(g+2)\left(2 g^{3}-5 g^{2}+6\right)}{g+2}$

Cancel the common factor g + 2, we get

$=2 g^{3}-5 g^{2}+6$

Hence option C is the correct answer.

8 0

3 years ago

Read 2 more answers

Find the prime factorization of 210.

Xelga [282]

5 x 2 x 7 x 3
Hope it helped! :)

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3 years ago

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A company charger shipping fee that is 4.5% of the purchase price for all items it ships. What is the fe to ship an item that co

kenny6666 [7]

Answer:

This is an percentage change question, by any chance you have a maths textbook, look for units that contains the topic: Percentage Change. Now, let's get solving! :)

Step-by-step explanation:

Firstly, you must multiply 4.5% with 56. That is: shipping fees x purchase price

That gives ($) 2.52 (this is your answer)

No addition/totaling needed as the question asked ONLY for the shipping fees.

Stay safe and Merry Christmas! :)

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3 years ago

What two number multiply to 24 and add to -11

enot [183]

Answer:

8 and 3

Step-by-step explanation:

Brainliest Please

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2 years ago

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A pilot can travel for 140 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the w

quester [9]

Answer:

-88 mph

Step-by-step explanation:

We can use the relation ...

time = distance/speed

to compare the times in the two directions.

$\dfrac{140}{200+w}=\dfrac{360}{200-w}\\\\140(200-w)=360(200+w)\\\\200(140-360)=w(360+140)\\\\w=\dfrac{200(-220)}{500}=-88 \quad\text{miles per hour}$

The wind speed is -88 miles per hour.

_____

The problem statement tells us the travel is slower <em>with</em> the wind than <em>against</em> the wind. Hence "with the wind" must be subtracting from the net speed. That is, the wind speed is negative.

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3 years ago