Answer:
see explanation
Step-by-step explanation:
Using the Cosine rule
a² = b² + c² - 2abcosA ← Rearranging for cosA gives
cosA = 
(a)
let a = 10, b = 7, c = 8 and A = α, then
cosα = 
= 
= 
, thus
α = 
( ) ≈ 83° ( to the nearest degree )
(b)
let the angle opposite side 7 be x
Using the Sine rule
= 
( cross- multiply )
10sinx = 7sin83 ( divide both sides by 10 )
sinx = 
, thus
x = 
( ) = 44°
The third angle can be found using the sum of angles in a triangle
third angle = 180° - (83 + 44)° = 180° - 127° = 53°
The 3 angles are 83°, 44°, 53°
First, you have to find the midpoint of the segment. Using the midpoint theorem, (which is (x1+x2)/2, (y1+y2)/2 ) the midpoint of that segment in (3,-1)
Next find the slope of the segment 1,0 and 5,-2 using rise over run or deltax / deltay which is a fancy way of saying change in x over change in y.
The slope is 4/2 or 2
When a line is perpendicular to another the slope is the negative reciprocal so the slope of our new line will be -1/2
Now plug in the coordinate (3, -1) to find the y-intercept and the equation of that line will be complete
so -1 = -1/2 (3) +b
-1= -1.5 +b
0.5 = b
The final equation will be -1/2x + 0.5 =y
hope this helps:)
Answer:
wrdfrdfrDFDFDFzfsdfffq
Step-by-step explanation:
dfdfgdf d f df
4 km = 4000 meters
7000 meters = 7 km
therefore julia ran further.
hope this helps you
Answer: A and only A
Step-by-step explanation:
r/3+5<or=8
r/3<or=3
r<or=9
