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CecE CompuServe heroins > SET 2 (p. 18) > Flashcards

SET 2 (p. 18) Flashcards

1
Q
  1. In a car race, the rate of one car is 120 km/hr and the rate of another is 105 km/hr. If the faster car finished the race 20 minutes before the slower one, what was the distance of the race?
A

280 km (p. 22)

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2
Q

3: The area of a cross-section of a right circular cone is 20, and the area of the base is 45. If the altitude of the cone is 6, how far from the base is the cross-section?

A

2 (p. 23)

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3
Q
  1. Find the altitude of the right prism for which the area of the lateral surface is 143, and the perimeter of the base is 11.
A

13

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4
Q
  1. These are signs that instruct road users to meet certain traffic rule requirements or road condition.
A

Special instruction signs

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5
Q
  1. Jack’s beanstalk has a growth pattern stated as follows: “On the first day it increased its height by 1/2, on the second day by 1/3, on the third day by 1/4, and so on”. How long will it take to achieve its maximum height if it is 100 times its original height?
A

198 days (p. 24)

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6
Q
  1. It is a type of thermoplastic lane marking designed to aid and provide motorists with visual, audio, and motion warning on the road.
A

Rumble strips

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7
Q

12: A long cylinder driven into the soil that extends deep into the ground to support a structure by transferring loads to a deeper and stronger layer of soil or rock.

A

Pile

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8
Q
  1. Melissa can mow the lawn in 4 hours, while her husband, George, can mow the lawn in 3 hours. They agreed to mow the lawn together. How long will it take them to mow the lawn together?
A

1.7 hours

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9
Q
  1. Find the area which is inside the circle r = 3sin⁡θ and outside the cardioid r = 1 + sin⁡θ.
A

π sq. units

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10
Q

15: A company wishes to accumulate P350,000 over a period of 5 years needed for building expansion. To have this amount, quarterly payments at the end of each quarter will be made into a savings account that earns 10% compounded quarterly. How much must each payment be?

A

P13,701.50

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11
Q
  1. A coin purse contains 5 centavo, 10 centavo, and 25 centavo coins, 30 coins in all. The total amount of all coins is P 4.40. Find the total amount of all 10 centavo coins.
A

P 1.40 (p. 25)

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12
Q
  1. Find the angle of the sector that should be removed from a circular piece of canvas of radius 12 ft so that the conical tent made from the remaining piece will have a height of 7 ft.
A

67.60°

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13
Q
  1. It is used to test the relative consistency of concrete.
A

Slump test

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14
Q
  1. What is the measure of an interior angle of a regular dodecagon?
A

150°

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15
Q

34: These are joints provided wherever concrete cement pavement work is suspended.

A

Construction joint

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16
Q

35: Find the equation of the line through (3,-1) and parallel to the line x-3y+6=0.

A

x-3y=6

17
Q
  1. Find the area of a cyclic quadrilateral whose sides are 5 cm, 7 cm, 10 cm, and 16 cm.
A

67.35 cm^2

18
Q
  1. Given a triangular lot ABC with the following data:
    (p. 11)
    What is the bearing of side CA?
A

N 58.92° W

19
Q
  1. The area bounded by the water line of a reservoir and the contours with a contour interval of 2 m are as follows: A1 = 12,340 m², A2 = 10,530 m², A3 = 9,180 m², A4 = 7,720 m², A5 = 5,520 m², A6 = 3,870 m². Determine the capacity of the reservoir using End Area Method.
A

82,110 m³

20
Q
  1. The table below displays the results of a survey regarding the number of study hours each student in a class. The average number of study hours in this class is 1.25. Find the value of k.
A

7

21
Q
  1. A man 1.8 m tall standing on one bank of a river can just see the top of a 41.27 m-high tower standing on the opposite bank of the river. Considering the effect of curvature and refraction, how wide should the river be?
A

30 km

22
Q

45: P200,000 was deposited at an interest rate of 24% compounded semiannually. How many years will the sum be P621,170?

A

5

23
Q

46: Two secants PAB and PCD are drawn to a circle from external point P and intersect the circle at A, B, C, and D, with A and C nearer to P. Angle PBC = 42°, angle BPC = 30°, BC is the diameter of the circle, and PA = 25 cm. Compute the measure of angle CAD.

A

18°

24
Q
  1. An existing machine in a factory has an annual maintenance cost of P 90,000. A new production methodology needs the purchase of a new and more efficient machine which will require an investment of P 250,000 and is estimated to have a salvage value of P 20,000 at the end of its 10 - year life. Annual maintenance for the new machine will total to P 30,000. If the company expects to earn 12% on its investment, what will be the rate of return on investment of the new machine?
A

19% (p. 31)

25
Q
  1. An airplane flew from Sydney ( 151°12’ E, 33°52’ S ) on a course N 40° W maintaining a uniform altitude. At what longitude will it crosses the equator?
A

126°08’

26
Q
  1. Given 2 independent random variables x and y with mean and variance as follows: E(x) = 640, σ(x) = 6, E(y) = 280, σ(y) = 8. Find the standard deviation of the random variable ( x + y ).
A

10

27
Q
  1. A frustum of a sphere has diameters of the bases 10.8 cm and 24.4 cm. The thickness of the frustum is 6 cm. Find the volume of the frustum.
A

1791 cm^3

28
Q

54: Determine the required length of spiral with a design speed of 80 kph if the central circular curve has a degree of 5.

A

80 m

29
Q

55: Data on traffic accident recorded on a certain section of a highway for the past 5 years shows 4,684 total accidents. If the average daily traffic is 482, what is the accident rate per million entering vehicles?

A

5,325

30
Q
  1. Joan has some coins in his pocket consisting of dimes, nickels, and pennies. She has two more nickels than dimes and three times as many pennies as nickels. How many coins are there if the total value is 52 cents?
A

18

31
Q

65: The area of a regular hexagon is 300 square units. Find its apothem.

A

9.3

CecE CompuServe heroins (35 decks)

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