Matthew bought flowers for his mom. he bought 12 flowers that were a combination of roses and lilies. the roses cost $1.75 each
2 answers:
To tackle this issue, follow the outlined procedure: 1. Designate variables: let’s say 
is the count of roses and 
represents the number of lilies. 2. Construct a system of equations based on the provided details in the problem statement above. 3. Utilize substitution method: first, resolve for 
in the second equation, substitute it into the first equation, then solve for . 4. Next, substitute 
back into the second equation. Consequently, the answer will be: 
roses and 
lilies.
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Answer:
6.79 miles
Step-by-step explanation:
Consider triangle ABC where A marks the starting point and C indicates the end point.
|AB|=5.2 miles
|BC|=3.0 miles
∠ABC = 90 + 75 = 165°
We're given two side lengths and an angle that is not opposite to either side.
The approach to resolve this scenario is known as the Cosine Rule.
Each side opposite an angle is designated by the corresponding lowercase letter.
The Cosine Rule asserts that:
b² = a² + c² - 2acCosB
|AC|²=3² + 5.2² - (2 × 5.2 × Cos 165°)
|AC|²=9 + 27.04 + 10.05
|AC|²=46.09
|AC|=√46.09=6.79 miles
Thus, the straight-line distance from A to C measures 6.79 miles
Answer:
Step-by-step explanation:
Assuming a fair die is rolled.
- The sample space comprises 1, 2, 3, 4, 5, 6, with all results being equally probable.
Let X represent the collection of all outcomes. Let A represent a specific outcome.
<pThus, the probability of event A occurring is:
Considering that the set of all possible outcomes for a singular die roll is:
Notably,
Here,
since 8 is not included in the sample space. Therefore, rolling an 8 is impossible within the defined outcomes.
In other terms,