Answer:
d. 20
Step-by-step explanation:
The given question implies 5 permutation 2, i.e 
.
But,
= 
So that for , n = 5 and r = 2.
= 
= 
= 
Cancel out 3 and 2 with respect to the numerator and denominator.
= 5 * 4
= 20
Therefore,
= 20
So that the correct option is D.
Answer:−
3c+2
Step-by-step explanation:
The value of x is 1.14 or x = -1.47
We find the value of x in the quadratic equation 3x^2 +x-5=0
Using the formula: (-b ± √ (b²- 4 a c)) / (2a)
Where the value of a = 3, b = 1 and c = -5
Substituting the above values (a = 3, b = 1 and c = -5)
in the formula:
(-1 ± √ (1²- 4 3 (-5))) / (2*3)
= (-1 ± √ (1+60)) / (6)
= (-1 ± √ (61)) / (6)
= (-1 ± 7.81) / (6)
= (-1 + 7.81) / (6) or (-1 -7.81) / (6)
= (6.81) / (6) or (-8.81) / (6)
=1.135 or -1.468
Hence the value of x= 1.14 or -1.47
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Answer:
<em>The base is 24 cm long.</em>
Step-by-step explanation:
<u>Equations</u>
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:
And its value is 180:
Multiplying by 2:
Operating:
Factoring:
The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
Answer:
Trapezium:
perimeter= 232
area= 2052
Triangle:
perimeter= 221
area= 4088
Step-by-step explanation:
