SOLUTION: Use a model for body surface area, BSA, such that BSA = sqrt (wh/3600) , where w = weight in kg and h = height in cm. Find the weight of a 179-cm male to the nearest kg whos

Algebra ->  Square-cubic-other-roots -> SOLUTION: Use a model for body surface area, BSA, such that BSA = sqrt (wh/3600) , where w = weight in kg and h = height in cm. Find the weight of a 179-cm male to the nearest kg whos      Log On


   

Question 1124492: Use a model for body surface area, BSA, such that
BSA = sqrt (wh/3600) , where w = weight in kg and h = height in cm.

Find the weight of a 179-cm male to the nearest kg whose
BSA = 2.3.
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

BSA+=+sqrt+%28%28wh%29%2F3600%29+, where w = weight in kg and h = height in cm.
Find the weight of a 179-cm male to the nearest kg whose BSA+=+2.3.

2.3+=+sqrt+%28%28w%2A179%29%2F3600%29+
2.3+=+sqrt+%28w%2A179%29%2Fsqrt%283600%29+
2.3+=+sqrt+%28w%2A179%29%2F60+
2.3+%2A60=+sqrt+%28w%2A179%29
138=+sqrt+%28w%29%2Asqrt%28179%29
+sqrt+%28w%29=+138%2Fsqrt%28179%29.....square both sides
%28sqrt+%28w%29%29%5E2=+%28138%2Fsqrt%28179%29%29%5E2

w=+138%5E2%2F%28sqrt%28179%29%29%5E2
w=+19044%2F179
w=+106.391061452514 kg

w=+106 kg, to the nearest kg



Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Use a model for body surface area, BSA, such that
BSA = sqrt (wh/3600) , where w = weight in kg and h = height in cm.

Find the weight of a 179-cm male to the nearest kg whose
BSA = 2.3.
matrix%281%2C3%2C+BSA%2C+%22=%22%2C+sqrt%28wh%2F%223%2C600%22%29%29 

matrix%281%2C3%2C+2.3%2C+%22=%22%2C+sqrt%28179w%2F%223%2C600%22%29%29 -------- Substituting 2.3 for BSA, and 179 for h

matrix%281%2C3%2C+2.3%2C+%22=%22%2C+sqrt%28179w%29%2Fsqrt%28%223%2C600%22%29%29

matrix%281%2C3%2C+2.3%2C+%22=%22%2C+sqrt%28179w%29%2F60%29

matrix%281%2C3%2C+sqrt%28179w%29%2C+%22=%22%2C+2.3%2860%29%29 ----- Cross-multiplying

matrix%281%2C3%2C+179w%2C+%22=%22%2C+%282.3%2860%29%29%5E2%29 ---- Squaring both sides