anaiise1 anaiise1

08-05-2017
Mathematics

contestada

In triangle DEF, m∠D=45, m∠E=63, and EF=24 in. What is DE to the nearest tenth of an inch?
A. 30.2 in.
B. 15.1 in.
C. 32.3 in.
D. 10.5 in.

Respuesta :

wolf1728 wolf1728

08-05-2017

In order to use the Law of Sines, EF has to be the included side. Therefore, we need to calculate angle F which is 72 degrees.

side f / sine (F) = side d / sine (D)
side f / sine (72) = side 24 / sine (45)
side f = sine (72) * 24 / sine (45)
side f = 0.95106 * 24 / .70711
side f (DE) = 32.2798998741

answer is C

Answer Link

Otras preguntas

O A parallel-plate capacitor with dimensions of 38 mm by 65 mm and a plate separation of 1.3 mm must have a minimum capacitance of 70 pF when an ac potential of

Determine the thermal coefficient of resistance of copper at 50°C, then use this value to determine the resistance of copper wire at 170°F if the resistance of

Determine the inverse Laplace transform of the function below. s2+14s+747s+69 Click here to view the table of Laplace transforms. Click here to view the table

Use the properties of fraction addition to calculate the following sum mentally. What properties would you use? Show your process.

The statics default_1, default_2 are used in one of the class Instructors methods, some_func(): class Instructor: # class ("static") intended constants default_

Organizations that are known to be ethical have better long-term success. HRM plays a key role as the keeper and voice of organizational ethics. HR at Costa ens

Florence was the center of the Renaissance, a cultural "rebirth" founded on humanist inquiry. How does Lorenzo Ghiberti’s Gates of Paradise articulate Renaissan

Write the composite function in the form f(g(x)). [Identify the inner function u=g(x) and the outer function y=f(u).] y= 8+3x (g(x),f(u))=() Find the derivati

Consider the following two variables, X and Y. Determine whether or not each variable is Binomial. If the variable is Binomial, give the parameters n and p. If

A news stand sells local fashion magazines. The cost to purchase the magazines is the list price of $8.00 less a discount of 35%. Fixed costs total $389 per wee