Answer:
Option D → -0.28
Step-by-step explanation:
Since the triangle has a 30° angle and a right angle which is 90°, this triangle must be a 30 - 60 - 90 triangle, which is a triangle with special properties. The length of the leg adjacent to the 30° angle is equal to the √3 times x where x is the length of the angle adjacent to the 60<span>° angle. Here is a visual representation:
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Answer:
°
Step-by-step explanation:
1. Approach
In order to solve this problem, one must first find a relationship between arc (a) and arc (c). This can be done using the congruent arcs cut congruent segments theorem. After doing so, one can then use the secants interior angle to find the precise measurement of arc (a).
2. Arc (a) and arc (c)
A secant is a line or line segment that intersects a circle in two places. The congruent segments cut congruent arcs theorem states that when two secants are congruent, meaning the part of the secant that is within the circle is congruent to another part of a secant that is within that same circle, the arcs surrounding the congruent secants are congruent. Applying this theorem to the given situation, one can state the following:
3. Finding the degree measure of arc (a),
The secants interior angle theorem states that when two secants intersect inside of a circle, the measure of any of the angles formed is equal to half of the sum of the arcs surrounding the angles. One can apply this here by stating the following:
Substitute,
Simplify,
Each scenario can be used to simulate probability, and there are 3 correct scenarios and 2 incorrect scenarios in the list of options
<h3>How to categorize the simulations?</h3>
From the question, we have the following parameters:
- Number of throws = 30
- Number of hits = 20
This means that the probability of hit is:
P(Hit) = 20/30
Simplify
P(Hit) = 2/3
Using the complement rule,
P(Miss) = 1/3
The above means that the simulation that represents the situation must have the following parameters:
- P(Success) = 2/3
- P(Failure) = 1/3
- Number of experiments = 3
Using the above highlights, the correct scenarios are:
- Rolling a die three times with numbers 1 to 4 representing a hit
- Spinner a spinner of 3 equal sections three times with two sections representing hit
- Spinner a spinner of 6 equal sections three times with four sections representing hit
Read more about probability at:
brainly.com/question/25870256
#SPJ1
Answer:
3/4 divided by 2 1/2 is 0.3
