Answer:
(x-9)²+(y-5)²=64
Step-by-step explanation:
Centre is (9,5) and radius is 16*pi/2*pi=8. Plug it in the equation of circles
-7+(9)=2
you can do the opposite of what is given (9-7)
Answer:
a) 0.145
b) 0.013
c) 0.783
d) 0.586
Step-by-step explanation:
a) there are always 52 cards in total, 13 hearts
Pa = 39/52 × 38/51 × 13/50 = 19266/132600 = 257/1700 =0.145
b) there are always 13 diamonds in a complete card
Pb = 13/52 × 12/51× 11/50 = 11/850 = 0.013
c) there are always 4 aces, and 48 that are not aces
Pc = 48/52 × 47/51 × 46/50 = 4324/5525 = 0.783
d) there are 13 hearts,to get at least one heart we have.
Pd = 1 - p
Where p is the probability of no hearts
p = 39/52 × 38/51 × 37/50 = 703/1700 = 0.414
Pd = 1 - 0.414
Pd = 0.586
Answer:
x=2 and y= 4
Step-by-step explanation:
y = x +2 ----------(i)
y = 3x -2--------(ii)
Now, comparing (i) and (ii)
x+2= 3x-2
=>x-3x = -2-2
=>-2x= -4
=>2x= 4
=>x= 2
From eq (i)
y= x+2 = 2+2= 4
We can answer the question above by using the trigonometric functions and the concept of similar triangles.
Given that cos (L) is 4/5. The length of sides PN and NL can be solved. Please see solution below.
4/5 = NL / 15 ; NL = 12
Solving for PN,
PN² + 12² = 15²
The value of PN is 9.
Then, using the concept of similar triangles,
KN/(KN + NL) = PN/ KM
Substituting the known values,
4/(4 + 12) = 9 / KM
The value of KM is 36.
