The human activities directly or indirectly affect the nature. The deforestation and the removal of the vegetation for the purpose of development or timber, the land is exposed to the dangers of the landslide. The tress, plants and other vegetation keeps the soil in place with the help of their roots. The soil erosion is prevented by the trees, but the cutting down of them by the humans increases erosion and hence, the risk of landslide.
The arc length is calculated by using the equation below:
Arc length = 2πr ( C/360)
where r is the radius and C is the central angle.
<span>Arc length = 2π(6) ( 65/360)
</span>Arc length = 6.81 inches
Therefore, the correct answer is option C.
<u>Answer</u>:
- The possible genotypes of the children are Hh and hh.
- The probability of genotype Hh = 1/2
- The probability of genotype hh = 1/2
<u>Explanation</u>:
- <em>Autosomal genes</em> are the genes present on any of the chromosomes except the sex chromosomes.
- An autosomal recessive mutation is the mutation in an autosomal gene which only expresses itself in the phenotype in homozygous condition and affects both males and female equally.
- For the given question, let the autosomal gene be represented by H (dominant) and h (recessive)
- According to the question,
Since the <em>mother</em> is homozygous her genotype would be hh and the <em>father</em> is heterozygous so his genotype would be Hh.
The following cross is made to know the genotypes of the children :
hh X Hh--------> Hh Hh hh hh
So the <em>possible genotypes of the children are Hh and hh as shown in the cross. </em>
Note : An image is attached representing the cross in a Punnett square.
- The probability of an event = No. of favourable outcomes/total no. of outcomes
The probability of occurrence of genotype Hh would be = 2/4 = 1/2
Similarly, the probability of occurrence of genotype hh would be 2/4 = 1/2