(-3,6) is were the lines intersect
Answer:
Step-by-step explanation:
Given are two lines equation in parametric form as
The direction ratios of the I line are -2, 4 and 8
Ii line are -1, 3, 2
These two are not proportional
Hence l1 and l2 are not parallel
Either they are skew or intersect
If intersect common point P would have coordinates as
Let us solve first two equatins for u and t and check whether 3rd equation is satisfied by this.
2*(i) -ii gives u = -3
t =0.5
Substitute in III equation
8(0.5)-2(-3) = 10 so satisifed
These two are not skew lines
The point of intersection is got by substituting either t or u
Point of intersection (2, 9, 1)
Answer:
Out of every 5 trials, the desired outcome will occur approximately 2 times
Step-by-step explanation:
The first statements states that it will happen exactly two times, but probability never guarantee the outcome
The third and fourth statement states out of 7 which cannot be true as 2-5 basically means out of 5
Answer:
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
Answer:
12.86 cm³ of water is saved
Step-by-step explanation:
✔️Since width of new ice ball must be the same as the length of original cube, therefore, diameter of the ice ball = 3 cm
Radius of ice ball = ½(3) = 1.5 cm
Volume of the new sphere ice ball = ⁴/3πr³
Substitute
Volume of new sphere ice ball = ⁴/3 × π × 1.5³ = 14.14 cm³
✔️To find out how much water would be saved using the new sphere ice ball, let's find the volume of the cube then find the difference of both.
Volume of original ice cube with length 3 cm:
Volume of cube = s³
s = 3 cm
Volume of cube = 3³ = 27 cm³
Volume of water saved = 27 cm³ - 14.14 cm³
= 12.86 cm³