I know this isn't the answer you'd like, but there's a graphing app called ''desmos'' and you can enter the equation in there and it gives you your answer.

Step-by-step explanation:

3 0

2 years ago

A dial combination lock has dials numbered 0 to 5. The lock is set to an even number. How many different numbers could it be?

Butoxors [25]

The number of combinations will be 6 for even numbers.

<h3>What is the combination?</h3>

The arrangement of the different things or numbers in a number of ways is called the combination.

Given that:-

A dial combination lock has dials numbered 0 to 5. The lock is set to an even number. How many different numbers could it be?

The total sample numbers are from 0 to 5 which are 0,1,2,3,4,5.

The even numbers are 0,2,4.

The combinations will be given by:-

C = 3!

C = 3 x 2 x1

C = 6

Therefore the number of combinations will be 6 for even numbers.

To know more about Combinations follow

brainly.com/question/295961

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3 0

2 years ago

Find the number of distinct triangles with the measurements a = 8, b = 14, and A = 30°.

Maslowich

Answer: 2

Step-by-step explanation:

By the law of sines,

$\frac{\sin B}{b}=\frac{\sin A}{a} \\ \\ \frac{\sin B}{14}=\frac{\sin 30^{\circ}}{8} \\ \\ \frac{\sin B}{14}=\frac{1}{16} \\ \\ \sin B=\frac{14}{16} \\ \\ B=\sin^{-1} \left(\frac{14}{16} \right), 180^{\circ}-\sin^{-1} \left(\frac{14}{16} \right) \\ \\ B \approx 61.04^{\circ}, 118.96^{\circ}$

Since either of these values for B will form a triangle (as A+B will be less than 180 degrees), 2 triangles can be formed with these measurements.

5 0

1 year ago