A field is in the shape of a trapezium ABCD whose parallel sides are 12cm and 20 cm and distance between two parallel sides is 1
4cm having a parallelogram CDEF on its one of parallel sides. If the height of the parallelogram is 16cm, find
a) the area of trapezium ABCD.
b) the area of parallelogram CDEF.
c) the area of total field.
a) the area of trapezium ABCD.
b) the area of parallelogram CDEF.
c) the area of total field.
1 answer:
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Synthetic division is used since the equation is of the third degree. The divisors of -3 are 1, -1, 3, +3. So:
| 2 -7 8 -3
<u>1 | 2 -5 3</u>
| 2 -5 3 0
<u> 1 | 2 -3 </u>
2 -3 0
So the factorization is (x-1)² (2x-3)=0. So:
Synthetic division is used since the equation is of the third degree. The divisors of -4 are 1, -1, 2, -2, 4, -4. So:
| 1 -1 0 -4
<u>2 | 2 2 </u>
1 2 2 0
So the factorization is (x-2)(x²+x+2)=0 . When calculating the discriminant of the trinomial, it is concluded that it has no roots since the result is negative. So you only have one solution.
Synthetic division is used since the equation is of the third degree. The divisors of 2 are 1, -1, 2, -2. So:
| 6 7 9 2
<u>-2 | -12 10 -2</u>
6 -5 1 0
So the factorization is (x+2)(6x²-5x+1)=0 . The quadratic equation is solved by the general formula:
The probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.
<h3>What is the Venn diagram?</h3>It is defined as the diagram that shows a logical relation between sets.
The Venn diagram consists of circles to show the logical relation.
We have:
f = 100 stamps in the collection
A = stamps in the 20th century
B = British stamps
We can make a linear equation to solve for x as the total stamps are 100 in the collection.
After solving x = 9.88, or x = -6.88
Probability can't be negative so neglecting the negative ones
x = 9.88
The probability that it is British:
= 61.64/100
= 0.6164
Thus, the probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.
Learn more about the Venn diagram here:
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