What is the simplified form of the following expression ? Assume a _>0 and c >_0

Answer:

The shaped region accounts for 7/18 of the area of ACIG.

Step-by-step explanation:

Refer to the attached diagram for further clarity on the problem.

Step 1

Determine the length of one side of square ABED.

We know that

AB=BE=ED=AD

The area of a square can be calculated as

where b is the side length.

We have

So we substitute

Thus,

Step 2

Calculate the area of ACIG.

The area of rectangle ACIG is determined by

Substituting the given values yields

Step 3

Determine the area of the shaded rectangle DEHG.

The area of rectangle DEHG is given by

We find

and substitute

Step 4

Calculate the area of shaded rectangle BCFE.

The area of rectangle BCFE equals

We see that

and substitute

Step 5

Add the areas of the shaded regions together.

Step 6

Divide the area of the shaded region by the area of ACIG.

Simplify this fraction by dividing both the numerator and denominator by 5.

Hence, the shaped region represents 7/18 of the area of ACIG.

Response:

Step-by-step explanation:

Information given:

Objective:

Calculate the maximum and minimum values

The max value is found as follows:

The min value is identified as follows:

Answer:

(-16x + 13)° + (-20x + 23)° = 180° (ángulo recto)

-16x° + 13° - 20x° + 23° = 180°

-36x° + 36° = 180°

-36x° = 180° - 36°

-36x° = 144°

-x° = 144°/(-36)

x° = 36°

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Hello! I'm here to assist you! To calculate interest, we apply the formula prt, which involves multiplying the principal (the amount of money initially), the rate (the interest rate), and the time (typically in years). Here are the results:

$252 at 8% over 2 years yields $40.32
$400 at 2% for a duration of 6 months results in $4
$5,000 at 3.5% for 1 year gives $175
$6,240 at 10% for 9 months amounts to $468

For period calculations, we convert months into decimals: 6 months equals 0.5 years, and 9 months equals 0.75 years. Simply multiply the principal amount by the percentage in decimal form and by the time, and that’s it!