Mathematics: Law of sines: 2.2 units 2.4 units 3.0 units 3.3 units

Law of sines: 2.2 units 2.4 units 3.0 units 3.3 units

Ответ:

3jazybraxy

13.01.2022

Mathematics

$RS=2.4\ units$

Step-by-step explanation:

The complete question is

What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth.

see the attached figure to better understand the problem

step 1

Find the measure of angle S

Applying the law of sines

$\frac{QS}{sin(R)}=\frac{QR}{sin(S)}$

substitute the given values

$\frac{3.1}{sin(80^o)}=\frac{2.4}{sin(S)}$

Solve for sin(S)

$sin(S)=\frac{sin(80^o)}{3.1}(2.4)$

$S=sin^{-1}[sin(80^o)}{3.1}(2.4)]$

S=49.68^o

step 2

Find the measure of angle Q

Remember that the sum of the interior angles in any triangle mut b equal to 180 degrees

$m\angle Q+m\angle R+m\angle S=180^o$

substitute the given values

$m\angle Q+80^o+49.68^o=180^o$

$m\angle Q+129.68^o=180^o$

$m\angle Q=180^o-129.68^o$

$m\angle Q=50.32^o$

step 3

Find the length of segment RS

Applying the law of sines

$\frac{QS}{sin(R)}=\frac{RS}{sin(Q)}$

substitute the given values

$\frac{3.1}{sin(80^o)}=\frac{RS}{sin(50.32^o)}$

$RS=\frac{3.1}{sin(80^o)}{sin(50.32^o)}$

$RS=2.4\ units$

Law of sines: 2.2 units 2.4 units 3.0 units 3.3 units

0,0(0 оценок)

Ответ:

dorothybean

06.04.2021

Mathematics

It should be multiple of that number:

the prime number is greater than one and cannot be divided by other numbers.

the factor is an element of a number.

multiple means it can be various numbers

An integer is a whole number from - infinity to positive infinity including zero.

Step-by-step explanation:

0,0(0 оценок)

Law of sines: 2.2 units 2.4 units 3.0 units 3.3 units

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question