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Nezavi [6.7K]
3 years ago
13

A spinner is divided into fourths and numbered 1 through 4. Jake spins the spinner and tosses a coin. What are all the possible

outcomes? How many outcomes are in the sample space?
Mathematics
1 answer:
MaRussiya [10]3 years ago
3 0

Answer:

Total number of possible outcomes in the sample space will be 8

Step-by-step explanation:

Given that,

A spinner is divided into fourths and numbered 1 through 4.

Jake spins the spinner and tosses a coin.

So,

Spinner has divided in to fourths means four parts of spinner such as : 1,2,3,4.

possible outcomes when a coin is tossed : Head(H)\ & \ Tail(T)

Now, when both spinner spins and coin tossed. possible outcomes are

                                          1H,1T\\2H,2T\\3H,3T\\4H,4T

Thus, these are the possible outcomes of given situation.

therefore,

Total number of possible outcomes in the sample space will be 8.

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Answer:

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Step-by-step explanation:

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2 years ago
A triangle with an area of 60 square inches has a height that is 16 less than 6 times its base.
PtichkaEL [24]

Step-by-step explanation:

the area of a triangle

baseline × height / 2

in our case

baseline × height / 2 = 60 in²

height = 6×baseline - 16

baseline × (6×baseline - 16) / 2 = 60

baseline × (3×baseline - 8) = 60

3×baseline² - 8×baseline = 60

baseline = x

3x² - 8x - 60 = 0

general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 3

b = -8

c = -60

x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =

= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =

= (8 ± 28)/6

x1 = (8 + 28)/6 = 36/6 = 6

x2 = (8 - 28)/6 = -20/6 = -10/3

x2 as a negative number is not a valid solution for a length in a geometric shape.

so, x = 6 in is our solution for the baseline.

height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in

base = 6 in

5 0
1 year ago
Find the measure of
yaroslaw [1]

Answer:

∠ HGL = 73°

Step-by-step explanation:

KL is a midsegment of the triangle and is parallel to HG, then

∠ KLJ = ∠ HGL ( corresponding angles ), so

9x - 62 = 5x - 2 ( subtract 5x from both sides )

4x - 62 = - 2 ( add 62 to both sides )

4x = 60 ( divide both sides by 4 )

x = 15

Thus

∠ HGL = 5x - 2 = 5(15) - 2 = 75 - 2 = 73°

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3 years ago
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Arlecino [84]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

hope this helps

have a great day

~Zero~

8 0
2 years ago
Read 2 more answers
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