Answer:
A' (-2,8) B' (-2,-4) C' (4,-4)
Step-by-step explanation:
Dilations Rule :
(x,y) → (kx,ky)
Scale factor = K
When your scale factor is more than one our triangle gets bigger. When your scale factor is less than one our triangle gets smaller.
( you plug in 2 in every point and those are your answers).
Remember negative times negative is positive and positive times negative is negative.
Answer:
1.38
Step-by-step explanation:
The point estimate for the population standard deviation of the length of the walking canes is given as the squareroot of variance. Since variance is provided as 1.9 then the standard deviation will be

Therefore, rounded off to two decimal places, the standard deviation is approximately 1.38
Answer:
A) 150 m
B) 180.28 m
Step-by-step explanation:
A) In order to find the horizontal distance from the base of the cliff to the speed boat, use the Pythagorean theorem to calculate the length of the missing side.
We are told that one of the sides is 80 m and the hypotenuse is 170 m. Therefore,
- a² + b² = c²
- (80)² + b² = (170)²
- b² = 170² - 80²
- b² = 22500
- b = 150
The horizontal distance between the base of the cliff and the boat is 150 m.
B) Now, the side that was 80 m is now 100 m (includes the height that the helicopter is above Jumbo). The horizontal distance remains the same, 150 m, but the hypotenuse is different. Solving for the hypotenuse will give us the distance between the helicopter and the speed boat.
- (100)² + (150)² = c²
- 32500 = c²
- 180.28 = c
The distance between the helicopter and the speed boat is 180.28 m.
Answer:
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Answer:
Step-by-step explanation:
The equation for this is 3x + 5x + 4x = 600 where x is the same amount of money multiplied by the scalar value to ensure the money is divided in that ratio exactly. That gives us 12x = 600.
x = 50.
The largest value is 5(50) = 250 and
the smallest value is 3(50) = 150.
The difference between these is $100.