Answer:
<h2>
CYLINDER</h2>
Surface Area = 471.2 cm^2
<h2>
TRIANGULAR PRISM</h2>
Surface Area = 60.75 m^2
Step-by-step explanation:
<h2>
CYLINDER</h2>
The surface area formula for a cylinder is π x diameter x (diameter / 2 + height), where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is π x radius x 2 x (radius + height). ( π =3.14 )
FORMULA:
π x 5 x 2 x 15
WORK:
π x 5 = 15.7
15.7 x 2 = 31.4
31.4 x 15 = 471
<h2>
TRIANGULAR PRISM</h2>
The surface area formula for a triangular prism is 2 * (height x base / 2) + length x width1 + length x width2 + length x base.
FORMULA:
2 x (2.5 x 1.5/2) + (6 x 4) + (6 x 4) + (6 x 1.5)
WORK:
(2.5 x 1.5) = 3.75/2 = 1.875
1.875 x 2 = 3.75
(6 x 4) = 24
(6 x 4) = 24
(6 x 1.5) = 9
3.75 + 24 + 24 + 9 = 60.75
He will have a 1/531,441 chance of winning next week.
There are 10 balls in each container; for 6 containers, this gives us 10^6 = 1,000,000. There is 1 correct combination of balls, so his chance the first week is 1/1,000,000.
The second week, 1 ball is removed from each container; this will give us 9^6 = 531,441 chances. There is 1 correct combination, so he will have a 1/531,441 chance of winning.
Multiply equation II by 2 and then add up the equations.
Answer: Bob has 62 cards.
All has 124 cards.
Jane has 186 cards
Step-by-step explanation:
Let x represent the number of cards that Bob has.
Al has twice as many cards as Bob. It means that the number of cards that All has is 2x.
Jane has three times as many cards as Bob. It means that the number of cards that Jane has is 3x.
Together, they have 372 cards. It means that
x + 2x + 3x = 372
6x = 372
x = 372/6
x = 62
The number of cards that Al has is
2 × 62 = 124
The number of cards that Jane has is
3 × 62 = 186
Answer:
B. 5 and 7
E. 1 and 3
F. 6 and 8
Step-by-step explanation:
The angles in matching corners are called corresponding angles.
