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Stels [109]
2 years ago
10

Is √2 irrational or rational?

Mathematics
1 answer:
zubka84 [21]2 years ago
8 0
Irrational because it’s not a perfect square.
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AXYZ is in Quadrant 1. It is rotated 90° counterclockwise around the origin.
Ainat [17]

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.

4 0
2 years ago
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Brian pays £465.98 a year on his car insurance. The insurance company reduces the price by 3.6%.How much does the insurance cost
inysia [295]

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.

7 0
2 years ago
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a park covers a total area of 644 acres there are 482 more acres of woods than grassy areas in the park how many acres are there
maw [93]

Answer:

woods are 81 acres, grass 563 acres

Step-by-step explanation:


3 0
2 years ago
3 (x+2)= 6 (x-1) +3
zzz [600]

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

3 0
2 years ago
A trough of water is 20 meters in length and its ends are in the shape of an isosceles triangle whose width is 7 meters and heig
Vaselesa [24]

Answer:

a) Depth changing rate of change is 0.24m/min, When the water is 6 meters deep

b) The width of the top of the water is changing at a rate of 0.17m/min, 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 \frac{3.5}{10} =\frac{a}{h}, then a=0.35h.

a) As we have that volume is V=\frac{1}{2} 2ahL=ahL, then V=(0.35h^{2})L, so we can derivate it \frac{dV}{dt}=2(0.35h)L\frac{dh}{dt} due to the chain rule, then we clean this expression for \frac{dh}{dt}=\frac{1}{0.7hL}\frac{dV}{dt} and compute with the knowns \frac{dh}{dt}=\frac{1}{0.7(6m)(20m)}2m^{3}/min=0.24m/min, is the depth changing rate of change when the water is 6 meters deep.

b) As the width of the top is 2a=0.7h, we can derivate it and obtain \frac{da}{dt}=0.7\frac{dh}{dt}  =0.7*0.24m/min=0.17m/min The width of the top of the water is changing, When the water is 6 meters deep at this rate

8 0
2 years ago
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