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Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Learning Task 4
A. Solve the following:
1. The distance (d) from the center of the seesaw varies inversely as the weight (w)
of a person. JB who weighs 50 kg sits 3 feet from the fulcrum. How far from
the fulcrum must JP sit in order to balance with JB if he weighs 35 kg?
2. The number of pages (p) that Ethan reads varies directly as the number of
hours (t) he is reading.
A. write the variation equation
B. If he can read 21 pages in 14 minutes, how may pages can he read in 21
minutes?
3. The pressure of the gas is directly proportional to the temperature and inverse
ly proportional to its volume.
A. Write the variation equation.
B. What happened to the pressure if the volume is reduced to half and the
temperature is doubled?
TAWAY
4. Given the equation y = k Pq"
, where k is the constant of variation, tell whivh
statement is true or false.
A. y and r varies directly.
HIYON IN
B. y and q? are directly proportional
C. y and pq2 varies jointly
ALABARZO
D. p and r are inversely proportional
E. y and p varies directly.
5. The volume of a cylinder is given by the formula V = nr² h. If r is increased by
50% and the height is reduced by 25%, what will happen to the volume? What
is the constant of variation.
B. Give at least three examples of quantities you know or you have or experienced
that show different types of variation.
11
PIVOT 4A CALABARZON Math G9
SKAS
Transcribed Image Text:A Learning Task 4 A. Solve the following: 1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person. JB who weighs 50 kg sits 3 feet from the fulcrum. How far from the fulcrum must JP sit in order to balance with JB if he weighs 35 kg? 2. The number of pages (p) that Ethan reads varies directly as the number of hours (t) he is reading. A. write the variation equation B. If he can read 21 pages in 14 minutes, how may pages can he read in 21 minutes? 3. The pressure of the gas is directly proportional to the temperature and inverse ly proportional to its volume. A. Write the variation equation. B. What happened to the pressure if the volume is reduced to half and the temperature is doubled? TAWAY 4. Given the equation y = k Pq" , where k is the constant of variation, tell whivh statement is true or false. A. y and r varies directly. HIYON IN B. y and q? are directly proportional C. y and pq2 varies jointly ALABARZO D. p and r are inversely proportional E. y and p varies directly. 5. The volume of a cylinder is given by the formula V = nr² h. If r is increased by 50% and the height is reduced by 25%, what will happen to the volume? What is the constant of variation. B. Give at least three examples of quantities you know or you have or experienced that show different types of variation. 11 PIVOT 4A CALABARZON Math G9 SKAS
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