Answer:
Choice D is correct
Step-by-step explanation:
The first step is to write the polar equation of the conic section in standard form by dividing both the numerator and the denominator by 2;
The eccentricity of this conic section is thus 1, the coefficient of cos θ. Thus, this conic section is a parabola since its eccentricity is 1.
The value of the directrix is determined as;
d = k/e = 3/1 = 3
The denominator of the polar equation of this conic section contains (-cos θ) which implies that this parabola opens towards the right and thus the equation of its directrix is;
x = -3
Thus, the polar equation represents a parabola that opens towards the right with a directrix located at x = -3. Choice D fits this criteria
To calculate the Volume of a sphere we use =
i
in this question our radius is 6cm and height is 30cm therefore the volume will be :-
(1/3)\pi *(6)^{2}*30
Answer= 360 cm^{3}
Answer:
math
Step-by-step explanation:
1. First we divide 3/4m by 3/4 and -12 by 3/4. When -12 is divided by 3/4, the solution is m>-9, which is answer choice number 3.
2. Again, all you have to do is divide both sides by 1.2. ((4 1/2) / 1.2 = 3.75) which is answer 1.
3.
1. Since we have to solve this inequality, we need to divide both sides by -4. (8.4 / -4 = -2.1). Because we divided by a negative, we need to flip the sign, making the inequality x<-2.1 and <------------0
2. Same as above, except we don't flip the sign. ((3/4) / (3/5) = 1 1/4). The solution is z>1 1/4 and 0------------>.
3. Again, the same. (-16 / -4 = 4) Since we divided by a negative, we flip the sign. The solution is 4≤p and 0-----------> with closed circle.
Answer:
0.21
Step-by-step explanation:
Given that Jane is a better tennis player than Jack is. If the probability that Jane will beat Jack in any given game is 0.7,
Probability for Jane beating Jack is 0.7 and hence
Probability for Jack beating Jane is 0.3
We find that each game is independent of the other
If two games are played
Probability that they will each win one game if they play two games
= Prob that Jack wins one game * Prob that Jane wins one game
= 0.7*0.3
= 0.21
(Since if A and B are independent events P(AB) = P(A) *P(B)
The perimeter of ΔXYZ is 126 units.
Solution:
Given ΔPQR 
ΔXYZ.
In ΔPQR,
PQ = 5, QR = 10, PR = 6
In ΔXYZ, XY = 30
Perimeter of ΔPQR = PQ + QR + PR
= 5 + 10 + 6
= 21
Perimeter of ΔPQR = 21
To find the perimeter of ΔZYZ:
If two triangles are similar then the ratio of the perimeters of two similar triangles is same as the ratio of their corresponding sides.
Do cross multiplication, we get
⇒ 5 × Perimeter of ΔXYZ = 30 × 21
⇒ 5 × Perimeter of ΔXYZ = 630
Divide by 5 on both sides of the equation.
⇒ Perimeter of ΔXYZ = 126
Hence the perimeter of ΔXYZ is 126 units.
