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Helen [10]
2 years ago
14

medal How many possibilities are there when you roll a die and draw a card from a standard deck of cards? A. 58 B. 112 C. 312 D.

284
Mathematics
2 answers:
WITCHER [35]2 years ago
4 0

Answer:

The correct option is C.

Step-by-step explanation:

If a die is rolled then the total possible outcomes are 1,2,3,4,5,6. Number of total outcomes is 6.

If a card is drawn from a standard deck of cards, then the total number outcomes is 52.

If we roll a die and draw a card from a standard deck of cards, then the total number of possibilities is

T=6\times 52

T=312

Total possible ways to roll a die and draw a card from a standard deck of cards is 312. Therefore the correct option is C.

juin [17]2 years ago
3 0
It is C.312 because you multiply 6 by 52

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The height of a triangle is 12 centimeters more than its base. The area of the triangle is 189 square centimeters Find the base
telo118 [61]

Answer:

C

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, we know in our case

b(b+12) = 189 cm²

b² + 12b - 189 = 0

let's try to solve this by completing the square.

that means we try to find the expression

(b + k)² + c

that is equal to

b² + 12b - 189

(b + k)² + c = b² + 2kb + k² + c = b² + 12b - 189

so,

2k = 12

k = 6

and then

k² + c = -189

6² + c = -189

36 + c = -189

c = -225

(b + 6)² - 225 = 0

(b + 6)² = 225

b + 6 = 15

b = 9

so, the baseline b = 9 cm.

the height b+12 = 9+12 = 21 cm.

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