Advertisements
Advertisements
Question
Find the compounded ratio of the following:
`sqrt 8 : 4 , 3 : sqrt 5` and `sqrt 20 : sqrt 27`
Solution
Compounded ratio of `sqrt 8 : 4 , 3 : sqrt 5` and `sqrt 20 : sqrt 27`
= `sqrt 8/4 xx 3/sqrt 5 xx sqrt 20/sqrt 27`
= `(2 sqrt 2)/4 xx 3/sqrt 5 xx (2 sqrt 5)/(3 sqrt 3)`
= `sqrt 2/sqrt 3`
Compounded raoo = `sqrt 2 : sqrt 3`
APPEARS IN
RELATED QUESTIONS
If a : b = 3 : 5, find: (10a + 3b) : (5a + 2b)
Find the reciprocal ratio of 3 : 5
Find the reciprocal ratio of 5 : 8
If a : b = 4 : 7, find the following:
`(6"a" - "b")/("a" + 3"b")`
What quantity must be added to each term of the ratio 19 : 51 to make it equal to 3 : 7 ?
If (p - x) : (q - x) be the duplicate ratio of p : q then show that: `1/"p" + 1/"q" = 1/"x"`
If x, y, and z are in continued proportion, then which of the following is true:
x : x = z : y
Choose the correct answer from the given options :
The ratio of number of edges of a cube to the number of its faces is
The ratio of the number of sides of a triangle to the number of sides of a rectangle is
A doctor reports blood pressure in millimeters 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.
Blood Pressure Ranges | |||
Normal | Prehypertension | Hypertension (Very High) |
|
Systolic | Under 120 mm Hg | 120-139 mm Hg | 140 mm Hg and above |
Diastolic | Under 80 mm Hg | 80-89 mm Hg | 90 mm Hg and above |
Manohar is a healthy 37 years old man whose blood pressure is in the normal category.
- Calculate an approximate ratio of systolic to diastolic blood pressures in the normal range.
- If Manohar’s systolic blood pressure is 102 mm Hg, use the ratio from part (a) to predict his diastolic blood pressure.
- Calculate the ratio of average systolic to average diastolic blood pressure in the prehypertension category.