Mathematics, 16.02.2021 16:40 ghari112345

DEF is a right angled triangle calculate the length of EF correct to 3 sigificant figures

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Answer from: Globug1144

$\displaystyle EF \approx 15.9$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = 28°

Adjacent Leg = EF = x

Hypotenuse = DF = 18

Step 2: Solve for x

Substitute in variables [Cosine]: $\displaystyle cos28^\circ = \frac{x}{18}$ [Multiplication Property of Equality] Multiply 18 on both sides: $\displaystyle 18cos28^\circ = x$ Evaluate trig: $\displaystyle 18(0.882948) = x$ Multiply: $\displaystyle 15.8931 = x$ Rewrite: $\displaystyle EF = 15.8931$ Round: $\displaystyle EF \approx 15.9$

Answer from: Quest

step-by-step explanation:

Answer from: Quest

the correct answer is a) "catholic church".

the proposals that liberals in mexico made during 1855 were particularly focused on a person's individual rights, such as the freedom of speech, the freedom of conscience, freedom of assembly, and the right to possess weapons.

when the constitution was formally published 2 years later (1857). it also contained an article which permitted education free from any religious influence, the removal of the catholic church institutional privileges, and the sale of property belonging to the church. all of these provisions were clearly against the catholic church interests.

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