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Anettt [7]
3 years ago
8

Find the area of the shaded polygon.

Mathematics
2 answers:
Inessa [10]3 years ago
6 0

Answer:

  • 8 square units

Step-by-step explanation:

Split the polygon into 3 triangles as pictured below

<u>They have base and height:</u>

  • 4 and 3, 1 and 1, 3 and 1

<u>Find the area of 3 triangles and add up:</u>

  • A = 1/2bh
  • A = 1/2*4*3 + 1/2*1*1 + 1/2*1*3 = 6 + 1/2 + 3/2 = 8 square units

iogann1982 [59]3 years ago
4 0

Answer:

8

Step-by-step explanation:

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An ancient Chinese candle clock tells the amount of time that has passed by the amount of wax that has been melted off the candl
maxonik [38]

Answer:

Time = 560\ mins

Step-by-step explanation:

Given

Candles = 2 --- candles melted

Divisions = 12

Time = 4\ hrs --- time to melt

Required

The time since the first was lit

If 1 candle melts in 4 hours, 2 candles will melt in 8 hours.

i.e.

x = Candles * Time

x = 2 * 4hrs

x = 8hrs

For the 3rd candle that has melted, 4 inches

First, calculate the fraction that melt

Fraction = \frac{Melt}{Division}

Fraction = \frac{4}{12}

Fraction = \frac{1}{3}

The time to melt is:

y = Fraction * Time

y= 4 * \frac{1}{3}

y= \frac{4}{3}hrs

So, the required time is:

Time = x + y

Time = 8hrs + \frac{4}{3}hrs

Convert to minutes

Time = 8*60mins + \frac{4}{3}*60mins

Time = 480mins + 80mins

Time = 560\ mins

4 0
3 years ago
Simplify the monomial (Please show work)<br><br> (2ab^2)(4a^2b^3) - (10a^3b)(6b^4)
Lelechka [254]
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7 0
3 years ago
The total is 60 what is 5% of 60 dollers
wlad13 [49]
5% of 60 dollars is 3 dollars.
8 0
3 years ago
The area of a rectangular invitation card is 3/10 square foot. Given that the length of the card is 4/5 foot find its perimeter
Andrei [34K]
The perimeter would be 3/8+3/8+4/5+4/5= 2.35 or 2 7/20 square foot.
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8 0
3 years ago
The equation y=750x represents the number of dollars y Olivia earns in x weeks. Determine if there is a constant of variation. I
Klio2033 [76]

Answer:

<h3>There is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.</h3>

Step-by-step explanation:

Given the equation y = 750x which represents the number of dollars y Olivia earns in x weeks, from the equation, it can be inferred that the number of dollars olivia earns is DIRECTLY PROPORTIONAL to the number of weeks. This relationship is therefore a direct variation.

In direct variation, increase in a variable will lead to corresponding increase in the other variable and vice versa by a factor known as the constant of variation.

For example if y is directly proportional to x, it is written mathematically as shown;

y\alpha x

y=kx\\

k = y/x

where k is the constant of proportionality.

comparing the general expression above with the equation in question,

y = 750x

k = 750

Therefore we can conclude that there is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.

5 0
4 years ago
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