/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 40 Convert the given Fahrenheit tem... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Problem 40

Convert the given Fahrenheit temperature to its equivalent temperature on the Celsius scale. Where appropriate, round to the nearest tenth of a degree. \(86^{\circ} \mathrm{F}\)

Short Answer

Expert verified
The equivalent temperature to \(86^{\circ} \mathrm{F}\) in Celsius is \(30^{\circ} \mathrm{C}\).

Step by step solution

01

Write down the given Fahrenheit temperature

The given Fahrenheit temperature is \(86^{\circ} \mathrm{F}\). This is the value that will be converted into Celsius.
02

Substitute the Fahrenheit temperature into the conversion formula

Substitute the value of 86 into the conversion formula \( C = \frac{{5(F - 32)}}{9} \), thus: \( C = \frac{{5(86 - 32)}}{9} \).
03

Simplify the expression inside the bracket

Simplify the expression 86 - 32 equals 54, thus the formula now becomes: \( C = \frac{{5(54)}}{9} \).
04

Perform the multiplication and division

Multiply 5 by 54 to get 270. Then divide 270 by 9 to get 30. Thus, \( C = 30 \).
05

Round off to the nearest tenth

As the result, 30, has no decimal places, there is no need for rounding. The equivalent temperature in Celsius is therefore exactly \(30^{\circ} \mathrm{C}\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Use the unit fractions \(\frac{36 \mathrm{in} .}{1 \mathrm{yd}}\) and \(\frac{2.54 \mathrm{~cm}}{1 \mathrm{in} .}\). Convert \(1016 \mathrm{~cm}\) to yd.

Describe advantages of the metric system over the English system.

Use the following English and metric equivalents, along with dimensional analysis, to convert the given measurement to the unit indicated.English and Metric Equivalents$$\begin{aligned}&1 \text { in. }=2.54 \mathrm{~cm} \\\&1 \mathrm{ft}=30.48 \mathrm{~cm} \\\&1 \mathrm{yd} \approx 0.9 \mathrm{~m} \\\&1 \mathrm{mi} \approx 1.6 \mathrm{~km}\end{aligned}$$ \(12 \mathrm{~m}\) to \(\mathrm{yd}\)

Selecting from millimeter, meter, and kilometer, determine the best unit of measure to express the given length. The length of a car

Give the approximate length of some of the world's longest rivers. In each exercise, determine which is the longer river and by how many kilometers. Yangtze: 3940 miles; Mississippi: 6275 kilometers
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.