12-06-2014
Mathematics

Answered

Abc is a triangle, ac=19cm bc=17cm and angle bac=60 degrees. calculate the size of angle abc? answer

Answer :

Аноним Аноним

05-07-2014

[tex]\frac{|AC|}{sin\angle ABC}=\frac{|BC|}{sin\angle BAC}\\\\|AC|=19cm;\ |BC|=17cm;\ |\angle BAC|=60^o;\ |\angle ABC|=x\\\\\frac{19}{sinx}=\frac{17}{sin60^o}\\\\cross\ multiply\\\\17sinx=19sin60^O\\\\17sinx=19\cdot\frac{\sqrt3}{3}\ \ \ \ /:17\\\\sinx=\frac{19\sqrt3}{51}\\\\sinx\approx0.6453\Rightarrow x\approx40^o11'\\\\Answer:|\angle ABC|\approx40^o11'[/tex]

Answer Link

Other Questions

Fill in the blanks with suitable pronouns. Choose from the list given inthe box. Some may be repeated.IyouheitweUSitsminehis yourstheirsours1. Arish saw the nei

which two fundamental concepts of calculus are inverse of each other? a. exponents b. limits c. derivatives d. logarithms e. factors f. integrals

An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession

2. According to information provided in your text, circadian rhythms are associated withO A. cycles of waking and sleeping.OB. the occurrence of anxiety attacks

URGENT f(x)=x^4+5x^3+4x^2−10x−12 Find the zero(s) at which f "flattens out". Express the zero(s) as ordered pair(s). Select the number of zero(s) at which f "fl

A polynomial \(P\) is given.[tex]\[ P(x) = x^6 - 1 \][/tex](a) Find all zeros of \(P\), real and complex. (Enter your answers as a comma-separated list with app

he Sun's location in our galaxy is: Group of answer choices in the disk of the galaxy, and well away from any spiral arm. unknown. We cannot tell where we are

Fill in the blanks with suitable pronouns. Choose from the list giventhe box. Some may be repeated.Iyouheitweusitsminehisyourstheirsours1. Arish saw the neighbo

What is the oxidation state of \( S \) in \( S_2O_3^{2-} \)?A. -2 B. +4 C. +3 D. +2

Find the area of the region pictured below that is bounded by the functions u ( y ) = y + 6 and v ( y ) = y 2 + y − 10 . Find the area by integrating along

B. In what ways did the feminist movement change attitudes towards gender roles and equality during the 1960s?a) It reinforced traditional gender rolesb) It led

What is a significant difference between the Jamestown and Plymouth colonies?O A.O B.One colony included hardworking families while the other had too many gentl

How do protists obtain energy and interact with their ecosystems?

How do you treat anterior coccyx displacement?

Ms. Soruma has to successfully interview 85% of her assigned households. She was assigned 500 households. She has interviewed 426 households so far. Has she met

How can understanding the nutritional needs of different age groups lead to potential entrepreneurial opportunities in the food industry?

Em uma empresa, o gerente de projetos não possui nenhuma autoridade sobre os participantes do projeto, e não consegue decidir sozinho quase nada referente a va

The dot plot shows the number of miles Beckett and Melissa ran each day during the last 10 training days. Without calculating, Melissa says that the MAD for her

What is the partial product of 48 x 5

Select all the correct answers.In this excerpt from his first address to Parliament, in what two ways does Winston Churchill arouse patriotic feelings in his au