Answer:
rate of change = 1.5 dollars per mile
Step-by-step explanation:
cost for travelling 1 mile = 3.75
cost 2 miles = 5.25
cost 3 miles = 6.75
cost 4 miles = 8.25
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:
![x=-4](https://tex.z-dn.net/?f=x%3D-4)
Step-by-step explanation:
we are given equation as
![2x^2+8x=x^2-16](https://tex.z-dn.net/?f=2x%5E2%2B8x%3Dx%5E2-16)
Since, we have to solve for x
so, we will make all terms on left side
add both sides 16
![2x^2+8x+16=x^2-16+16](https://tex.z-dn.net/?f=2x%5E2%2B8x%2B16%3Dx%5E2-16%2B16)
![2x^2+8x+16=x^2](https://tex.z-dn.net/?f=2x%5E2%2B8x%2B16%3Dx%5E2)
Subtract both sides by x^2
![2x^2+8x+16-x^2=x^2-x^2](https://tex.z-dn.net/?f=2x%5E2%2B8x%2B16-x%5E2%3Dx%5E2-x%5E2)
![x^2+8x+16=0](https://tex.z-dn.net/?f=x%5E2%2B8x%2B16%3D0)
now, we can factor it
![(x+4)^2=0](https://tex.z-dn.net/?f=%28x%2B4%29%5E2%3D0)
now, we can solve for x
and we get
![x=-4](https://tex.z-dn.net/?f=x%3D-4)
Answer:
12 ft
Step-by-step explanation:
Area = Length * Width
168 = 14 * W
168/14 = W
W = 12 ft