Answer: 64 miles
Step-by-step explanation:
Subtract all of Buck's expenses from the total amount that he spent to isolate the amount of miles.
70.23 (Total) - 39.95 (Flat Rate) - 9.80 (Gas) = 20.48
20.48 ÷ 0.32 (Cost Per Mile) = 64 (Total miles)
Hope this helps!
Answer:
x = 88
Step-by-step explanation:
All angles in a triangle equal 180 degrees. So our equation will be:
x + 48 + (x - 44) = 180
x + 48 + x - 44 = 180
2x + 48 - 44 = 180
2x + 4 = 180
2x = 176
x = 88
Hope this helps!
Answer:
The answer is D. 22
Step-by-step explanation:
LHS ⇒ RHS:
Identities:
[1] cos(2A) = 2cos²(A) - 1 = 1 - 2sin²(A)
[2] sin(2A) = 2sin(A)cos(A)
[3] sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
[4] cos(A + B) = cos(A)cos(B) - sin(A)sin(B)
cos(x) - cos(x + 2Θ)
= cos(x) - (cos(x)cos(2Θ) - sin(x)sin(2Θ)) [4]
= cos(x) - cos(x)(1 - 2sin²(Θ)) + sin(x)(2sin(Θ)cos(Θ)) [1] [2]
= cos(x) - cos(x) + 2sin²(Θ)cos(x) + 2sin(Θ)sin(x)cos(Θ)
= 2sin²(Θ)cos(x) + 2sin(Θ)sin(x)cos(Θ)
= 2sin(Θ)(sin(Θ)cos(x) + sin(x)cos(Θ))
= 2sin(Θ)sin(x + Θ)
Answer:
x=7
y=11
z=7
Step-by-step explanation:
x + y + z = 25
y+z= 18
Z= 7
Substitute the third equation into the second
y+z=18
y+7 = 18
y = 18-7
y = 11
Now substitute y=11 and z=7 into the first
x +y+z = 25
x+11+7 = 25
x+18 = 25
x = 25-18
x=7
