3rd 6-Weeks Test Review

3rd 6-Weeks Test Review

Assessment

Flashcard

Mathematics

11th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the ground speed of an object moving at a constant speed of 100 mph heading N 45 E with a wind blowing 500 mph south?

Back

The ground speed is 435.1 mph.

2.

FLASHCARD QUESTION

Front

What is the equation for a sinusoidal function that has a vertical shift of 6 and an amplitude of 6?

Back

The equation is r = 6 + 6 sin θ.

3.

FLASHCARD QUESTION

Front

Convert the polar point (4, -\frac{3\pi}{2}) to rectangular coordinates.

Back

The rectangular coordinates are (0, 4).

4.

FLASHCARD QUESTION

Front

Solve the equation -2 + cot(θ) = -3 for 0 ≤ θ < 2π.

Back

The solutions are θ = \frac{3\pi}{4}, \frac{7\pi}{4}.

5.

FLASHCARD QUESTION

Front

What is the direction of the resultant vector for an airplane on a course bearing of 105° at 400 mph with a wind blowing 35 mph due east?

Back

The direction of the resultant vector is S76.2°E.

6.

FLASHCARD QUESTION

Front

Define ground speed in the context of vector addition.

Back

Ground speed is the speed of an object relative to the ground, calculated by combining its speed and direction with the wind speed and direction.

7.

FLASHCARD QUESTION

Front

What is the formula for converting polar coordinates (r, θ) to rectangular coordinates (x, y)?

Back

The formulas are x = r * cos(θ) and y = r * sin(θ).

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