Hooke's Law states that the distance of a spring stretches is directly proportional to the weight attached in the spring. If a 40m» weight is attached to the spring it stretches to b inches. If a 651b weight is attached to the spring delermine the distance it strelches to. a. 8.5 in b. 9.75in C. 9,25in d. 10.75in

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter44: Solution Of Equations By The Subtraction, Addition, And Division Principles Of Equality
Section: Chapter Questions
Problem 38A
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6. Hooke's Law states that the distance of a spring stretches is directly proportional to the weight attadched
in the spring. IH a 40» weight is attached to the spring it stretches lu b inches. If a 65ib weight is
attached to the spring delermine the distance it strelches to.
a. 8.5 in
b. 9.75in
C. 9,25in
d. 10.75in
7. Samsan Tech has a total operating cusb of Php 455,000. Having invested in a TV campaign, the
company's sake have increased from Php625,000 to Php821.000. lIn addition, lo one-off cost of 80,000
for the TV advertisement, these ratra sales have added Php63,000 in variablu rusts. Thus, the tutal
operating cosls for the company now sland at Php598,000. By what percenlage has EBIT (Eamings
Fefore Interest and Taus) improwed as a result uf the marketing campaign.
a. 31%
b. %.
c. 23%
d. 35%.
8. Simplity the function y (tan x + cot x ) sin x
a. Cos x
b. Sin x
C. Sec
d. Cot x
9. Two forces ol 18.6kN and 24.2kN act on a body. If their directions make an angle of 50 20 with eadch
other, find the angke that the resultant makes with the larger force. a. 41°24
b. 2636
e. 3124'
d. 21
10. A painter needs to find the area of the gable end of the house. Wwhat is the area of the gable if it is a
triangle with two sides of 42t that meetN at 106° angle?
a. 825/t
b. essft
c. 452/t?
d. 022/t
Transcribed Image Text:6. Hooke's Law states that the distance of a spring stretches is directly proportional to the weight attadched in the spring. IH a 40» weight is attached to the spring it stretches lu b inches. If a 65ib weight is attached to the spring delermine the distance it strelches to. a. 8.5 in b. 9.75in C. 9,25in d. 10.75in 7. Samsan Tech has a total operating cusb of Php 455,000. Having invested in a TV campaign, the company's sake have increased from Php625,000 to Php821.000. lIn addition, lo one-off cost of 80,000 for the TV advertisement, these ratra sales have added Php63,000 in variablu rusts. Thus, the tutal operating cosls for the company now sland at Php598,000. By what percenlage has EBIT (Eamings Fefore Interest and Taus) improwed as a result uf the marketing campaign. a. 31% b. %. c. 23% d. 35%. 8. Simplity the function y (tan x + cot x ) sin x a. Cos x b. Sin x C. Sec d. Cot x 9. Two forces ol 18.6kN and 24.2kN act on a body. If their directions make an angle of 50 20 with eadch other, find the angke that the resultant makes with the larger force. a. 41°24 b. 2636 e. 3124' d. 21 10. A painter needs to find the area of the gable end of the house. Wwhat is the area of the gable if it is a triangle with two sides of 42t that meetN at 106° angle? a. 825/t b. essft c. 452/t? d. 022/t
11. In triangle BCD, BC - 25m, and CD - 10m. Compute the probable perimeter of the triangle. a 72
b. 71
c. 70
d. 9
12. An airplane involves three legs, with two stopover. The first leg is due cast for 720km; the second leg is
southeast 45 degrees for 440km, the thind leg is 53 degrees south of west tor 550km. Determine the total
displacement.
a. 1026km, 47" below a axis ( south of eant)
b. 1056km, 47" below x axis ( south of cast)
c. 1026km, 47° belw x avis ( south of east)
d. 1026km.-47 bckow x axis ( south of cast)
13. The arcas of two similar polygons are 80 and 5. f a side of a smaller polygon has a length 2 find the
kength of the curresponding nide ut a larger pelygun.
a 14
h. 8
. 10
d. 12
14. A regular octagon is lo be cut out from a square section having a side of 18cm. Delermine the side of
the oxtagon.
a 7.92
b. 7.45
C 4.86
d. 3.64
15. A lot has a fronlage of 120m lang along a road. The other sides which are both perpendicular to the
nuad are Km and 60m, respestively. It is desired v subdivide the lot into two parts hy another
perpendicular line to the road such that the arcas of the lot that adjoins the 90m, side is equal to 4 of
Ihe whule area. Determine the length of the dividing line.
a 68.53m
b. R3.52m
c. 79.36m
d. 93.58m
Transcribed Image Text:11. In triangle BCD, BC - 25m, and CD - 10m. Compute the probable perimeter of the triangle. a 72 b. 71 c. 70 d. 9 12. An airplane involves three legs, with two stopover. The first leg is due cast for 720km; the second leg is southeast 45 degrees for 440km, the thind leg is 53 degrees south of west tor 550km. Determine the total displacement. a. 1026km, 47" below a axis ( south of eant) b. 1056km, 47" below x axis ( south of cast) c. 1026km, 47° belw x avis ( south of east) d. 1026km.-47 bckow x axis ( south of cast) 13. The arcas of two similar polygons are 80 and 5. f a side of a smaller polygon has a length 2 find the kength of the curresponding nide ut a larger pelygun. a 14 h. 8 . 10 d. 12 14. A regular octagon is lo be cut out from a square section having a side of 18cm. Delermine the side of the oxtagon. a 7.92 b. 7.45 C 4.86 d. 3.64 15. A lot has a fronlage of 120m lang along a road. The other sides which are both perpendicular to the nuad are Km and 60m, respestively. It is desired v subdivide the lot into two parts hy another perpendicular line to the road such that the arcas of the lot that adjoins the 90m, side is equal to 4 of Ihe whule area. Determine the length of the dividing line. a 68.53m b. R3.52m c. 79.36m d. 93.58m
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