Q118 of 140 Page 196

Language Application

Given below are few Mathematical terms.



Find


A. The ratio of consonants to vowels in each of the terms.


B. The percentage of consonants in each of the terms.

⇒ Ratio of consonants to vowels =


a) In term “Hypotenuse” 6 consonants and 4 vowels are there


∴ =


= 3:2


⇒ In term “Congruence” 6 consonants and 4 vowels are there


∴ =


= 3:2


⇒ In term “Perpendicular” 8 consonants and 5 vowels are there


∴


= 8:5


⇒ In term “Transversal” 8 consonants and 3 vowels are there


∴


= 8:3


⇒ In term “Correspondence” 9 consonants and 5 vowels are there


∴


= 9:5


b) Percentage of consonants = × 100%


Total number of letters = Number of consonants + number of vowels


⇒ In term “Hypotenuse” total number of letters = 6 + 4 = 10


= × 100% = 60%


⇒ In term “Congruence” total number of letters = 6 + 4 = 10


= × 100% = 60%


⇒ In term “Perpendicular” total number of letters = 8 + 5 = 13


= × 100% = 61.53%


⇒ In term “Transversal” total number of letters = 8 + 3 = 11


= × 100% = 72.72%


⇒ In term “Correspondence” total number of letters = 9 + 5 = 14


= × 100% = 64.28%


More from this chapter

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116

Health Application

A doctor reports blood pressure in millimetres of mercury (mm Hg) as a ratio of systolic blood pressure to diastolic blood pressure (such as 140 over 80). Systolic pressure is measured when the heart beats, and diastolic pressure is measured when it rests. Refer to the table of blood pressure ranges for adults.



Manohar is a healthy 37 years old man whose blood pressure is in the normal category.


A. Calculate an approximate ratio of systolic to diastolic blood pressures in the normal range.


B. If Manohar’s systolic blood pressure is 102 mm Hg, use the ratio from part (a) to predict his diastolic blood pressure.


C. Calculate ratio of average systolic to average diastolic blood pressure in the prehypertension category.

 117

(a) Science Application: The king cobra can reach a length of 558 cm. This is only about 60 per cent of the length of the largest reticulated python. Find the length of the largest reticulated python.


(b) Physical Science Application: Unequal masses will not balance on a fulcrum if they are at equal distance from it; one side will go up and the other side will go down.


Unequal masses will balance when the following proportion is true:




Two children can be balanced on a seesaw when


. The child on the left and child on the right are balanced. What is the mass of the child on the right?



(c) Life Science Application


A DNA model was built using the scale 2 cm : 0.0000001 mm. If the model of the DNA chain is 17 cm long, what is the length of the actual chain?


 119

What’s the Error? An analysis showed that 0.06 per cent of the T-shirts made by one company were defective. A student says this is 6 out of every 100. What is the student’s error?

 120

What’s the Error? A student said that the ratios and were proportional. What error did the student make?