3 years ago

Use the fundamental counting principle to determine all the possible outcomes from rolling a die once then spinning the spinner.

Mathematics

1 answer:

Rudik [331]3 years ago

6 0

The answer is there are 6 possible outcomes: {1, 2, 3, 4, 5, 6} Hope this helps!

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A boat is anchored 2.2 km due south of a lighthouse. Along the shore, the town of Beachton is 16.8 km due east of the lighthouse

pogonyaev

Answer:

16.9 km

Step-by-step explanation:

From the diagram attached, we can see that the problem forms a triangle.

So, to find the distance(d) from the boat to Beachton , we can make use of Pythagoreas theorem.

Thus;

d² = 16.8² + 2.2²

d² = 282.24 + 4.84

d² = 287.08

d = √287.08

d = 16.9434

Approximating to the nearest tenth, we have;

d ≈ 16.9 km

6 0

3 years ago

What is the GCF of the terms 14c²d and 42c³d? A. 2c²d B. 7c²d C. 3c D. 14c²d

GuDViN [60]

GCF - What is the highest number possible that the two given terms have in common.

In the given problem, one can clearly see that the two share $c^{2} and d$ .

The factors of 14 are 1, 2, 7 and 14 while the factors of 42 are 1, 2, 3, 6, 7, 14, 21 and 42.
Out of the two, 14 is the highest number that they both share.

So our answer will be 14 $c^{2} d$