7. A line is drawn from point P to point 0, where P is along the line AB and O is along the line AC of the triangular lot ABC. If AP: PB = 3:1 and AO:OC = 2:5, what is the proportion of the area of APO and ABC? A. 4:10 C. 3:14 B. 2:15 D. 2:12 8. The tide in Bay of Fundy rises and falls every 13 hours. The depth of the water at a certain point in the bay is modeled by a function d = 5 sin (2n/13)t + 9, where t is time in hours and d is depth in meters. Find the depth at t 13/4 (high tide) and t = 39/4 (low tide). =

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
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Kindly please answer 7-8 questions. Since your policy is at-least maximum with 3 per sub questions is okay. This is of my reviewer.
A line of levels, 6 km long is run between A to B with
average backsight and foresight distances of 150 m. The
average backsight reading is 3.8 m and each time it is
taken, the rod is inclined sidewards from the vertical 5°.
What is the correct elevation of B is its recorded
elevation is 425.16 meters?
A. 423.12 m
C. 424.53 m.
D. 424.87 m
B. 425.74 m
2. ABC Corporation's stock which currently sells for Php50 per
share, has been paying a Php3 annual dividend per share and
increasing in value at an average rate of 5% per year, over
the last 5 years. It is expected that the company's stock
will maintain this performance over the next 5 years. What
is the company's cost of the capital raised through the
selling of this stock?
A. 10.99%
C. 14.49%
D. 14.99%
B. 10.49%
3.
With the transit at point B line of sight horizontal, the
stadia intercept at C is 1.15 m. If the stadia interval
factor is 100.32 and the stadia constant is 0.3, find the
distance BC.
A. 108.32 m
C. 115.668 m.
D. 123.65 m
B. 112.54 m
4.
An experiment consists of selecting three items from a box
of several items. The three items are classified defective
(D) or non-defective (N) as they are selected. Give the
sample space for this experiment. Which outcomes are in the
events A, B, C where A exactly one defective?
A. (NNN, NND, DNN}
C. (DDD, DNN, NDD}
D. (NDD, DND, DDN}
B. (DNN, NDN, NND}
5.
A spiral easement curve has a length of 80 m. and the
radius of the central curve
maximum velocity that a car
easement curve.
is zero m. Determine the
could pass thru the spiral
A. 82.4 kph
C. 81.6 kph
D. 79.6 kph
B. 76.3 kph
Find the area of the triangle
290, and c = 419. [Hint: K =
A. 36, 600
is ABC given a = 225, b =
√√s(s-a)(s- b)(s-c)]
C. 34,400
B. 36, 400
D. 34,600
7.
A line is drawn from point P to point 0, where P is along
the line AB and O is along the line AC of the triangular
lot ABC. If AP: PB = 3:1 and AO:OC = 2:5, what is the
proportion of the area of APO and ABC?
A. 4:10
C. 3:14
D. 2:12
B. 2:15
8.
The tide in Bay of Fundy rises and falls every 13 hours.
The depth of the water at a certain point in the bay is
modeled by a function d = 5 sin (2n/13)t + 9, where t is
time in hours and d is depth in meters. Find the depth at t
= 13/4 (high tide) and t = 39/4 (low tide).
6.
Transcribed Image Text:A line of levels, 6 km long is run between A to B with average backsight and foresight distances of 150 m. The average backsight reading is 3.8 m and each time it is taken, the rod is inclined sidewards from the vertical 5°. What is the correct elevation of B is its recorded elevation is 425.16 meters? A. 423.12 m C. 424.53 m. D. 424.87 m B. 425.74 m 2. ABC Corporation's stock which currently sells for Php50 per share, has been paying a Php3 annual dividend per share and increasing in value at an average rate of 5% per year, over the last 5 years. It is expected that the company's stock will maintain this performance over the next 5 years. What is the company's cost of the capital raised through the selling of this stock? A. 10.99% C. 14.49% D. 14.99% B. 10.49% 3. With the transit at point B line of sight horizontal, the stadia intercept at C is 1.15 m. If the stadia interval factor is 100.32 and the stadia constant is 0.3, find the distance BC. A. 108.32 m C. 115.668 m. D. 123.65 m B. 112.54 m 4. An experiment consists of selecting three items from a box of several items. The three items are classified defective (D) or non-defective (N) as they are selected. Give the sample space for this experiment. Which outcomes are in the events A, B, C where A exactly one defective? A. (NNN, NND, DNN} C. (DDD, DNN, NDD} D. (NDD, DND, DDN} B. (DNN, NDN, NND} 5. A spiral easement curve has a length of 80 m. and the radius of the central curve maximum velocity that a car easement curve. is zero m. Determine the could pass thru the spiral A. 82.4 kph C. 81.6 kph D. 79.6 kph B. 76.3 kph Find the area of the triangle 290, and c = 419. [Hint: K = A. 36, 600 is ABC given a = 225, b = √√s(s-a)(s- b)(s-c)] C. 34,400 B. 36, 400 D. 34,600 7. A line is drawn from point P to point 0, where P is along the line AB and O is along the line AC of the triangular lot ABC. If AP: PB = 3:1 and AO:OC = 2:5, what is the proportion of the area of APO and ABC? A. 4:10 C. 3:14 D. 2:12 B. 2:15 8. The tide in Bay of Fundy rises and falls every 13 hours. The depth of the water at a certain point in the bay is modeled by a function d = 5 sin (2n/13)t + 9, where t is time in hours and d is depth in meters. Find the depth at t = 13/4 (high tide) and t = 39/4 (low tide). 6.
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