Question

Please help with this math question

Answer 1

This question is about solving a quadratic equation using the quadratic formula.

Step-by-step explanation:

This expression is a quadratic equation of the form at² + bt + c = 0, where the constants are a = 4.90, b = -14.3, and c = -20.0. Its solutions are given by the quadratic formula:

Answer: quadratic equation, at² + bt + c = 0, a = 4.90, b = -14.3, c = -20.0, quadratic formula

Answer 2

Answer: To draw a sample space diagram, we need to list all the possible outcomes when the two spinners are spun and their results are added together. Based on the given information, the spinners have the following numbers:

Spinner 1: 6, 5, 4

Spinner 2: 3, 4

To find the possible totals, we add each number from Spinner 1 to each number from Spinner 2:

Possible totals: 6 + 3 = 9

6 + 4 = 10

5 + 3 = 8

5 + 4 = 9

4 + 3 = 7

4 + 4 = 8

Now, let's calculate the probability of scoring a total of 10. Out of the six possible totals, there is only one outcome that results in a total of 10, which is when Spinner 1 lands on 6 and Spinner 2 lands on 4.

Therefore, the probability of scoring a total of 10 is 1 out of 6 possible outcomes.

In fraction form, the probability is 1/6, which is already in its simplest form.