15$ .. 3$ 12 more dollars left - you can only buy 3 boooks !
Its 89 because 9 times 2 is 81 and 10 times 2 is 100 there nothing to multiple 2 by something to get 89
72 × 1.4666666666667 = 105.6 feet per second
Draw a diagram to illustrate the problem as shown in the figure below.
Let h the height of the hill. =
At position A, the angle of elevation is 40°, and the horizontal distance to the foot of the hill is x.
By definition,
tan(40°) = h/x h = x tan40 = 0.8391x
(1)
At position B, Joe is (x - 450) ft from the foot of the hill. His angle of elevation is
40 + 18 = 58°.
By definition, tan(58°) = h/(x - 450)
h = (x - 450) tan(58°) = 1.6003(x-450)
h = 1.6003x - 720.135 (2)
Equate (1) and (2).
1.6003x - 720.135 = 0.8391x 0.7612x = 720.135
x = 946.0523
From (1), obtain
h = 0.8391*946.0523 = 793.8 ft
Answer: The height of the hill is approximately 794 ft (nearest integer)
Using proportions, it is found that the number of islands that each member will have to visit is given by:
c. 19 islands.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, there are 684 islands, and 36 members, hence the number of islands per member is given by:
n = 684/36 = 19.
Which means that option c is correct.
More can be learned about proportions at brainly.com/question/24372153
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