Answer:
Step-by-step explanation:
According to the diagram ,
Hypotenuse = 10√3
Opposite = x
Adjacent = y
α = 60
Using SOHCAHTOA ,
Sin α = opp / hyp
Sin 60= x/10√3
√3/2= x/10√3
x = 15
Pythagoras theorem ;
Hypotenuse ^2 = Opposite ^2 +Adjacent ^2
10√3 ^2 = 15^2+ y^2
300 = 225 +y ^2
300 -225 = y^2
75 = y^2
y = √75y
y = 5√3
Answer:
A burger costs $4. An order of fries costs $2.50.
3(4) + 3(2.50) = 17.
2(4) + 4(2.50) = 18.
Hope this helps!
Answer:

Step-by-step explanation:
Let
A(-5,5),B(-2,-4) ----> the given segment
step 1
Find the slope AB
The formula to calculate the slope between two points is equal to

substitute the given values



step 2
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)
so
the slope of the perpendicular bisector is equal to

we have

substitute


step 3
Find the midpoint segment AB
A(-5,5),B(-2,-4)
The formula to calculate the midpoint between two points is equal to

substitute the values


step 4
Find the equation of the line in point slope form

we have


substitute

step 5
Convert to slope intercept form

isolate the variable y



simplify

see the attached figure to better understand the problem
Answer:
The value of pi is equal to 3.14
Answer:
the first one is 5/12 and the second one is 6/28. Hope this helps and have a nice day:)