Answer:
Quad 1
Step-by-step explanation:
AXYZ is in the 2nd quad bc of the rotation, then goes back to 1st quad bc of reflection (y axis). After this, the translation doesn't affect the movement of quadrants. A""X""Y""Z"' lands in quadrant 1.
Answer:
The correct answer is £449.20 rounded upto 2 DP.
Step-by-step explanation:
Brian pays £465.98 a year on his car insurance.
The insurance company reduces the price by 3.6%.
The amount reduced by the insurance company is 3.6% of 465.98 = £16.77528.
Price the insurance company charges now is given by subtracting the previous cost with the reduction amount.
Thus the insurance cost now = £ (465.98 - 16.77528) = £449.20472 ≈ £449.20.
Thus the reduced insurance cost Brian has to pay now is £449.20 rounded to 2DP.
Answer:
woods are 81 acres, grass 563 acres
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
3(x + 2) = 6(x - 1) + 3
Divide both sides by 3.
x + 2 = 2(x - 1) + 1
Distribute the 2 on the right side.
x + 2 = 2x - 2 + 1
Combine like terms on the right side.
x + 2 = 2x - 1
Add 1 to both sides. Subtract x from both sides.
3 = x
x = 3
Answer:
a) Depth changing rate of change is
, When the water is 6 meters deep
b) The width of the top of the water is changing at a rate of
, When the water is 6 meters deep
Step-by-step explanation:
As we can see in the attachment part II, there are similar triangles, so we have the following relation between them
, then
.
a) As we have that volume is
, then
, so we can derivate it
due to the chain rule, then we clean this expression for
and compute with the knowns
, is the depth changing rate of change when the water is 6 meters deep.
b) As the width of the top is
, we can derivate it and obtain
The width of the top of the water is changing, When the water is 6 meters deep at this rate