Since there are two black queens out of 52 cards, there is a 2/52 chance of drawing a black queen first. This is equivalent to a 1/26 chance.
Now that we have removed a black queen, there are 51 cards left in the deck. 26 of them are red because we only took away a black card. This means that there is a 26/51 of drawing a red card next.
In order to find the probability of both of these happening, we multiply the two together. 1/26 * 26/51 = 26/1326. This reduces to 1/51. So, there is a 1/51 chance of drawing a black queen, then a red card.
Given
Endpoints of the diameter (5,2) and (-7,4)
Step One
Find the center
Center = (x2 + x1)/2 , (y2 + y1)/2
x2 = -7; x1 = 5; y2 = 4; y1 = 2
Center = (-7 + 5)/2 ; (4 + 2)/2;
Center = (-1 , 3)
Step Two
Find the radius squared using the distance formula. Use (5,2) as the second point. The other point is the center.
Distance squared = (5 - - 1)^2 + (2 - 3)^2
Distance squared = ( 6)^2 + (-1 )^2
Distance squared = 37
Step Three
State the circle's formula
(x - - 1 )^2 + (y - 3)^2 = 37
(x + 1)^2 + (y - 3)^2 = 37
Answer:
The answer is A. 755 m2; 815 m2
Step-by-step explanation:
The answer is A) 472m^2; 486 m^2.
Let a, b, and c be the sides of the base and h be the height of the prism
a = 2 m
b = 7 m
c = 7.28 m
h = 29 m
The lateral surface area is:
LA = a*h + b*h + c*h = h * (a + b + c)
LA = 29 * (2 + 7 + 7.28) = 29 * 16.28 ≈ 472 m²
The surface area is:
SA = LA + 2 * 1/2 * a * b
SA = 472 + 2 * 7 = 472 + 14 = 486 m²
