Use pythagoras
d = √(Δx² + Δy²)
d = √(12-2)² + (9-4)²
d = √(10² + 5²)
d = √(100 + 25)
d = √125
d = 5√5
d = 5 × 2.236
d = 11.18
The nearest tenth is 11.2, so the distance is near to 11.2
Well you have to first find the constant of Brand X which would be 2.70/10 = .27. Brand Y is .4 more so that would be .31 per ounce. So then .31 x 11 = 3.41. The cost of 11 ounces of brand Y is $3.41.
From 8.30 pm to 12 : 00
Difference = 12 : 00 - 08:30 = 3 : 30
3 hours 30 minutes = 3.5 hours.
Total for those hours = 3.5 * 1000 = $3500
From 12:00 to 1:00 am = 1 hour.
50% increase = 50% of 1000 = .50 * 1000 = 500
So it will increase to 1000 + 500 = $1500 per hour.
For the 1 hour extra, 1 * 1500 = $1500
Total = $3500 + $1500 = $5000
She will be paid $5000
Answer:
Explanation:
Method 1
First, list the multiples of both numbers:

To find the lowest common multiple (LCM) of 6 and 8, first express the numbers as a product of its prime factors.

Next, pick the highest powers for each of the numbers:
Answer:
C. Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.
Step-by-step explanation:
Rigid transformations are processes that can be applied to change the orientation or size of a given object, while its shape is maintained. Examples are; rotation, reflection, dilation and translation.
To map ΔRST to ΔXYT, the rigid transformations required are; reflection and rotation. ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.
Therefore, option C is correct from the given question.