Answer:
Using the Sine Rule , which states that
![\frac{a}{Sin A}=\frac{b}{Sin B}=\frac{c}{SinC}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7BSin%20A%7D%3D%5Cfrac%7Bb%7D%7BSin%20B%7D%3D%5Cfrac%7Bc%7D%7BSinC%7D)
In Δ ABC
∠A +∠B+∠C=180°→→Angle Sum Property of Triangle
72°+85°+∠C=180°
∠C=180° - 157°
∠C= 23°
All the angles are in degrees.
![\frac{a}{Sin 72}=\frac{b}{Sin 85}=\frac{6.2}{Sin 23}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7BSin%2072%7D%3D%5Cfrac%7Bb%7D%7BSin%2085%7D%3D%5Cfrac%7B6.2%7D%7BSin%2023%7D)
Using the table of Sine, Calculating Sine Values
Sin 72°= 0.9510
Sin 85°=0.996
Sin 23°=0.390
![\frac{a}{0.951}=\frac{b}{0.996}=\frac{6.2}{0.390}\\\\ a=\frac{6.2 * 0.951}{0.390}= 15.118\\\\ b=\frac{6.2 * 0.996}{0.390}=15.833](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B0.951%7D%3D%5Cfrac%7Bb%7D%7B0.996%7D%3D%5Cfrac%7B6.2%7D%7B0.390%7D%5C%5C%5C%5C%20a%3D%5Cfrac%7B6.2%20%2A%200.951%7D%7B0.390%7D%3D%2015.118%5C%5C%5C%5C%20b%3D%5Cfrac%7B6.2%20%2A%200.996%7D%7B0.390%7D%3D15.833)
Among the five Options,
Option E: a= 15.09 and b=15.81 is approximately true.
Given the measure of side a, b and c of the triangle, the measure of angle C to the nearest tenth is 104.5°.
<h3>What is the measured angle C?</h3>
From the law of cosines;
cosC = ( a² + b² - c² ) / 2ab
Where C is the angle C and a, b, and c are the three sides of the triangle.
Given the data in the question;
- Side a = 2
- Side b = 3
- Side c = 4
- Angle C = ?
Using law of cosine;
cosC = ( a² + b² - c² ) / 2ab
We substitute the values into the equation.
cosC = ( 2² + 3² - 4² ) / ( 2 × 2 × 3 )
cosC = ( 4 + 9 - 16 ) / ( 12 )
cosC = -3 / 12
cosC = -0.25
We find the inverse of cosine.
C = cos⁻¹( -0.25 )
C = 104.477°
C = 104.5°
Given the measure of side a, b and c of the triangle, the measure of angle C to the nearest tenth is 104.5°.
Learn about cosine rule here: brainly.com/question/20839703
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Answer:
Slope = -3/7
Step-by-step explanation:
The formula for slope is y2-y1/x2-x1.
Substitute for the points.
5-2/3-10 = -3/7
Answer:
Letter b is correct!
explanation:
The letter b is correct because it is the demand determinants that explain the changes in the aggregate demand curve. This is because the most important determinants of demand such as interest rate, Federal Deficit, expectations and money supply are not constant, so a change in any of these determinants will also affect the change in the aggregate demand curve.