91st Edition

ISBN: 9780866099653

Author: Richard Rhoad, George Milauskas, Robert Whipple

Publisher: McDougal Littell

Concept explainers

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

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Question

Definition Definition Arithmetic method in which the value of a single unit is found from the value of the given units. Once the value of a single unit is known, then we can then find the value of the required units by multiplying the single value unit with the required number of units; alternatively, if the value of a certain number of units is known, we may find the required number of units after dividing the value given by the value of a single unit. Example. You're at the grocery store and see a billboard that says 10 oranges for $6. It's unusual, however, to always buy exact amount advertised. To calculate the exact price, the unitary method is used. To know the exact price of 8 oranges, you need to find the price of one orange, and then you can multiply that price by 8 to know the cost of 8 oranges. In this case, an orange = $6/10, or $0.60 per orange. Eight oranges will cost 8 * $0.60, or $4.80.

Chapter 1, Problem 43RP

To determine

To calculate: The time at which the hands of clock will form an angle $212$ times as great as the angle formed at $2:00$

Expert Solution & Answer

Answer to Problem 43RP

The time at which the hands of clock will form an angle $212$ times as great as the angle formed at $2:00$ is $T=2:38:11$

Explanation of Solution

Given information: The initial time of the clock is given to be $2:00$

Formula used: Basic unitary method has been used

Calculation: At $2:00$ , the minutes hands are $10$ minutes apart

So, in order to form an angle $212$ times as great as the angle formed at $2:00$ , the minute hand has to gain

$(10+25)=35min$

And, in $60min$ , minute hand gains $55min$ of time over the hour hand

Thus, the time needed now is

$T=6055(35)min$ over $2:00$ hours.

Thus, final time after adding the two of these is

$T=2:38:11$

Chapter 1, Problem 42RP

Chapter 2.1, Problem 1PSA

Chapter 1 Solutions

Geometry For Enjoyment And Challenge

Ch. 1.1 - Prob. 1PSA Ch. 1.1 - Prob. 2PSA Ch. 1.1 - Prob. 3PSA Ch. 1.1 - Prob. 4PSA Ch. 1.1 - Prob. 5PSA Ch. 1.1 - Prob. 6PSA Ch. 1.1 - Prob. 7PSA Ch. 1.1 - Prob. 8PSA Ch. 1.1 - Prob. 9PSA Ch. 1.1 - Prob. 10PSA

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The time at which the hands of clock will form an angle 2 1 2 times as great as the angle formed at 2 : 00