Answer:
(4,5)
Step-by-step explanation:
The equation of a circle that has centre coordinates (a,b) and radius r is
(x-a)^2+(y-b)^2=r^2
so (4,5) satisfy the equation
3^2+4^2=9+16=25
Answer:
By AA
ΔWXY ~ΔWVZ
Step-by-step explanation:
Here WXY is an isosceles triangle with legs WX & WY
So WX = WY
Hence ∠X = ∠Y
So ∠2= ∠3.
Now by angle sum property
∠1 + ∠2+∠3 = 180°
∠1+∠2+∠2=180°
2∠2 = 180° - ∠1 .......(1)
In triangle WVZ
WV = WZ
So ∠V = ∠Z
∠4 = ∠5
Once again by angle sum property
∠1 + ∠4 + ∠5=180°
∠1 + ∠4 + ∠4 = 180°
2∠4 = 180° - ∠1 ...(2)
From (1) & (2)
2∠2 = 2∠4
∠2=∠4
Now ∠W is common to both triangles
Hence by AA
ΔWXY ~ΔWVZ
Answer:
3 ÷ 1/3 = 9
Step-by-step explanation:
= 3 ÷ 1/3
= 3/3 (3/1) ÷ 1/3
= 9/3 × 3/1
= 9/1
= 9
Answer:
9,500 bottles.
Step-by-step explanation:
1 cubic meter = 1000000 milli liters
We can convert (2.85 cubic meter) to (milli liters) as
1 cubic meter = 1000000 milli liters
2.85 cubic meter = X milli liters
If we Cross multiply and find X, we have
X milli liters = [(2.85 cubic meter × 1000000 milli liters) ] / 1 cubic meter
X= 2850,000 milli liters
Then (2.85 cubic meter) will be equal to ( 2850,000 milli liters)
Capacity of the Bottle = 300 ml
Number of bottles that 300 ml capacity can be filled out of it =
(2850,000 milli liters) / (300 ml)
= 9,500 bottles.
