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Debora [2.8K]
3 years ago
10

Josh plays a game where he flips a coin and rolls a number cube. List all of the possible outcomes below.

Mathematics
2 answers:
nekit [7.7K]3 years ago
5 0

Answer:

Step-by-step explanation:

In tossing a coin you have just two possible outcomes:  heads or tails.

In rolling a number cube you have six possible outcomes:  {1, 2, 3, 4, 5, 6}

So the possible overall outcomes (coin and cube) are as follows:

head, 1

head, 2

head, 3

head, 4

head, 5

head, 6

tails, 1

tails, 2

tails, 3

tails, 4

tails, 5

tails, 6

Bad White [126]3 years ago
3 0
Heads 1
Tails 1
Heads 2
Tails 2
Heads 3
Tails 3
Heads 4
Tails 4
Heads 5
Tails 5
Heads 6
Tails 6
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3 years ago
There are many square prisms with volume 125 in. Let w represent the side length of the square base and h represent the height i
iogann1982 [59]

Answer:

5in by 5in by 5in

Step-by-step explanation:

We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.

Given

Volume = 125in³

Formula

V = w²h ..... 1

S = 2w²+4wh ..... 2

w is the side length of the square base

h is the height of the prism

125 = w²h

h = 125/w² ..... 3

Substitute eqn 3 into 2 as shown

S = 2w²+4wh

S = 2w²+4w(125/w²)

S = 2w²+500/w

To minimize the surface area, dS/dw = 0

dS/dw =4w-500/w²

0= 4w-500/w²

Multiply through by w²

0 = 4w³-500

-4w³ = -500

w³ = 500/4

w³ =125

w = cuberoot(125)

w = 5in

Get the height

125 =w²h

125 = 25h

h = 125/25

h = 5in

Hence the dimension of the prism is 5in by 5in by 5in

5 0
3 years ago
A А<br> С<br> B.<br> ZABC is bisected by BD. If m DBC = 65°,<br> then m ZABC = [?]°<br> Enter
andrew11 [14]

Answer:

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Step-by-step explanation:

BD is the angle bisector of angle ABC .

Therefore, ∠ABD ≅ ∠DBC

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Answer:

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Step-by-step explanation:

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X^2-10x+27 in the form (x-a)^2+B​
Irina18 [472]

Answer:

(x-5)^2+2

Step-by-step explanation:

To convert between standard and vertex form, you have to complete the square (which, as a reminder, (a+b)^2 = a^2+2ab+b^2).

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