Answer: The correct option is option third, i.e.,25 cm square.
Explanation:
From the given figure it is easily noticed that the shaded region contains two congruent parallelograms and 4 congruent triangles.
Area of a parallelogram is the product of base and height.
The area of a parallelogram is 12 cm square.
Area of a triangle is half of the product of base and height.
The area of a triangle is 0.25 cm square.
Since there are 2 parallelograms and 4 triangles in the figure, therefore the total area is,
Therefore, the area of figure is 25 cm square and the third option is correct.
The answer is: 56xy³
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Explanation:
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Find the "like terms"; which are:
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"4y" and "2y<span>²"
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The remaining term is: "7x".
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The problem is a "multiplication problem" :
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7x * 4y * </span>2y² ; so start by multiplying the "like terms" :
<span>___________________________________________
4y * 2y</span>² = 8y<span>³
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Then the remaining term is "7x";
so, multiply that by our obtained value: "</span>8y³ " :
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7x * 8y³ = 56xy³ ; which is our answer:
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Answer:
9/20 yes, 4/15 not. See below
Step-by-step explanation:
Pick 9/20 and multiply numerator and denominator by 5:
9/20 = 45/100
We know that if we divide a number by 100 we need to move the coma as two places left, so:
9/20 = 45/100 = 0.45
And this is a terminal decimal as we know where it ends.
On the other hand if we pick 4/15 let try to divide it (here I will do it 'manually'):
4 |_ 15
we can divide 4 by 15, so we use 40 and begin with a comma
40 |_ 15
0.
15 enters 2 times in 40 with a rest of 10, so:
40 |_ 15
30 0.2
100
100 divided by 15 is 6 and we have 10 as rest again, and again and again...
40 |_ 15
30 0.266.....
100
100
....
So, we will have 0.266666666666666 infinitely. The decimal for 4/15 is non terminating and is 0.26666666666666666...
Answer:
≈11.4
Step-by-step explanation:
We know that, Ryan lives 2 blocks west and 5 blocks south of Devin
=> Coordinate of Ryan: (-2,-5). Because:
- 2 blocks west = 2 unit to the left = -2
- 5 blocks south = 5 unit go down= -5
Andy lives 7 blocks east and 2 block north of Devin.
=>Coordinate of Andy: (7,2), because:
- 7 blocks east = 7 unit ti the right = 7
- 2 block north = 2 unit go up = 2
Hence, to find out the distance of Ryan and Andy, we use distance formula as below:
≈11.4
The formula of the future value of an annuity ordinary is
Fv=pmt [(1+r)^(n)-1)÷r]
Fv future value?
PMT 2400
R 0.08
T 32 years
Fv=2,400×((1+0.08)^(32)−1)÷(0.08)
Fv=322,112.49
Now deducte 28% the tax bracket from the amount we found
annual tax 2,400×0.28
=672 and tax over 32 years is 672×32
=21,504. So the effective value of Ashton's Roth IRA at retirement is 322,112.49−21,504=300,608.49
