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:
A. 0
General Formulas and Concepts:
<u>Pre-Algebra
</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I
</u>
<u>Pre-Calculus
</u>
<u>Calculus
</u>
- Derivatives
- Derivative Notation
- Derivative of csc(x) =
![\frac{d}{dx} [csc(x)] = -csc(x)cot(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bcsc%28x%29%5D%20%3D%20-csc%28x%29cot%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Differentiate</u>
- Differentiate:
![\frac{d}{dx} [csc(x)] = -csc(x)cot(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bcsc%28x%29%5D%20%3D%20-csc%28x%29cot%28x%29)
<u>Step 3: Evaluate</u>
- Substitute in <em>x</em>:

- Evaluate:

Answer:
(A)The height of each pyramid is One-half h units.
Step-by-step explanation:
Height of the Cube = h units
Volume of the Cube 
If Base of the cube =Base of the square pyramid
Base of the square pyramid = h units



Since Volume of the Cube = Volume of Six Square Pyramids
Then:

Answer:
yes
Step-by-step explanation: