a. Based on the AA similarity theorem, Gilligan can conclude that, ΔABC ~ ΔSDC.
b. To the nearest tenth of a foot, the distance from the ship to the shore is: 847.8 ft.
<h3>What are Similar Triangles?</h3>
The ratios of the corresponding sides of two triangles that are similar are equal.
Two triangles with two pairs of congruent angles are similar to each other based on the AA similarity theorem.
a. In ΔABC and ΔSDC, there are two pairs of congruent angles - ∠DCS ≅ ∠BCA (vertical angles) and ∠ABC ≅ ∠SDC (right angles)
Therefore, based on the AA similarity theorem, Gilligan can conclude that, ΔABC ~ ΔSDC.
b. AB = 150 ft
Distance from the ship to the shore = SD = ?
DC = 130 ft
CB = 23 ft
Thus:
AB/SD = CB/DC
Substitute
150/SD = 23/130
SD = (150×130)/23
SD = 847.8
Thus, to the nearest tenth of a foot, the distance from the ship to the shore is: 847.8 ft.
Learn more about similar triangles on:
brainly.com/question/11899908
Answer:
to the nearest cubic yard.
Step-by-step explanation:
The volume of a right circular cylinder can be calculated using the formula;
.
The diameter of the base is given to us. We divide it into two to obtain the radius.
and also the height of the cylinder is 
.
We substitute these values into the formula to obtain;
Answer:
d b c
Step-by-step explanation:
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30. Given problem : You deposited 2 000 dollars, then you will earn 6% simple interest.
Question: How long will it become 2 600 dollars.
Well, you didn’t mention if it’s an annual interest or monthly interest.
But let’s say that it’s a monthly interest, then let’s start solving:
=> 2000 Is the original amount + 6% interest
first month = 2000 * .06 = 120
=> 2000 + 120 = 2120
2nd month = 2120 *.06 = 127.2
=> 2120 + 127.2 = 2247.2
3rd month = 2247.2 *.06 = 134.832
=> 2247.2 + 134.832 = 2382.032
4th month = 2382.032 * .06 = 142.92192
=> 2382.032 + 142.92192 = 2524.95392
5th month = 2524.95392 * .06 = 151.497
=> 2524.95392 + 151.497 = 2676.45
Thus, on the fifth month she will earn this amount.
