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3 years ago

What are the two cases in which the Laws of Sines can be applied to solve a non-right triangle?

Mathematics

1 answer:

igomit [66]3 years ago

8 0

Answer:

Case I, Case II

Step-by-step explanation:

For cases III and IV, you need the Law of Cosines.

The Law of Sines can be used when you have at least one side and the angle opposite. If you know two angles of a triangle, you know all three, so the given angles don't necessarily have to be opposite the given side if two angles are known.

The Laws of Sines can be applied to solve Case I and Case II.

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Consider the following random experiment. First, roll a die and observe the number of dots facing up; then, toss a coin the numb

kipiarov [429]

Answer:

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

B.)

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Step-by-step explanation:

Sample space :

Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

Event that the total number of head is even:

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

3 0

3 years ago

If 4x +5=9x-2,then x=

user100 [1]

5 0

3 years ago

Given a scalene triangle with whole number angle measurements, what is the greatest sum possible of the two smallest angles?

Olegator [25]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define scalene triangle

A Scalene Triangle is any triangle with unequal sides. This means that, in a scalene triangle, all of the three sides and angles are different lengths, just like in the illustration below. This also means that each angle has to be different.

STEP 2: Get the greatest sum possible of the two smallest angles

Since the measures of the angles of the triangle are different whole numbers , for the sum of the two angles to be the least possible, one of the angles must be smallest whole number i.e 1°

Now, the next smallest angle will be the next angle of a whole number that is not 1 degree, i.e, 2 degrees.

Thus, the greatest possible sum of the measures of two smallest angles will be:

$1^{\circ}+2^{\circ}=3^{\circ}$

Hence, the greatest sum possible of the two smallest angles is 3 degrees

7 0

1 year ago

What is he least common multiple of 5 and 6

jeyben [28]

Answer:

30.

Step-by-step explanation:

6 = 2 * 3

5 = 5

LCM = 2 * 3 * 5 = 30.

7 0

3 years ago

Heather is cashier, she can ring up 12 customers in 9 minutes at this rate how many minutes does it take to ring up 4 customers

stellarik [79]

Answer:

5.2 minutes for 4 costomers.

Step-by-step explanation:

12/9=1.333 (3 repeating)

1.3 x 4 = 5.2

5 0

3 years ago