Answer: $60.00
Step-by-step explanation: First the solution: (Start form the end!!) $40.00 (the ending total) minus the $10.00 he added on, $40-$10=$30 which is half of the original total so now you have to multiply by two to get the starting balance ($60.00)!
Now for the inequality, since we don't know the beginning balance of the gift card that will be our variable.
g
Then, since he spent half of this buying coffee we would have to split our variable in half.
g/2
After that, Peter added an additional $10.00 to said gift card.
g/2 + 10 = 40
Going off of that the final inequality would be $60.00 = g/2 + 10 = 40
BAMM!! GOOD LUCK IN MATH CLASS!!!
Answer:1) In Δ FGH,
FH=7 ft, FG=12 ft,
∠F=70 degrees
By "Law of cosines":
So,By applying Law of Sines , we get that
Hence, Option 'D' is correct.
2) In Δ XYZ,
XY=14, ∠Y=22°, and XZ=26
By using "Law of sines":
so, X = 147° , Y = 22° , Z = 11.6°
Step-by-step explanation:
Answer:
-11/2
Step-by-step explanation:
Put the numbers into the expression and do the arithmetic.
Answer:
The point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.
Step-by-step explanation:
The distance between two points (x₁, y₁) and (x₂, y₂) on the x-y plane can be calculated with:
√((x₁ - x₂)² + (y₁ - y₂)²)
So in this case, with the points (-3, 2) and (4, 0), the distance is:
√((-3 - 4)² + (2 - 0)²)
√(49 + 4)
√(53) ≈ 7.28
Since 7.28 > 5, the point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.
