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patriot [66]
3 years ago
12

I really need help. Find a. Round to the nearest tenth.

Mathematics
1 answer:
valina [46]3 years ago
6 0

Answer:

a ≈ 1.8

Step-by-step explanation:

a / sin (180 - 105 - 15)° = 2 /sin 105°

a = (2 /sin 105°) x sin 60°

a = (2 / 0.97) x 0.87

a = 1.79    (≈ 1.8)

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At a college, 72% of courses have final exams and 46% of courses require research papers. Suppose that 31% of courses have a res
beks73 [17]

Answer:

0.25

Step-by-step explanation:

72% of courses have final exams and 46% of courses require research papers which means probability of 0.72 for courses that have final exams and 0.46 for courses that require research papers.

31% of courses have a research paper and a final exam, which means probability of 0.31 for both courses with exams and research papers, using Venn diagram approach, find picture attached to the solution.

P(R or E) = P(R) + P(E) - P(R and E), which gives:

P(R or E) = 0.15 + 0.41 - 0.31

P(R or E) = 0.25.

6 0
4 years ago
In the box there are 20 toys, but 5 of them are broken. Randomly one after another 2 toys are taken out. What are the chances th
vitfil [10]

Answer:

A

Step-by-step explanation:

Refer to the picture above.

Explainations are written in the pic above.

4 0
3 years ago
Which algebraic expression is a polynomial with a degree of 5
anygoal [31]

Answer: For example, the polynomial which can also be expressed as has three terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term.

Step-by-step explanation: (If this helps)

8 0
3 years ago
Read 2 more answers
Which interval is the solution set to 0.35x - 4.8 < 5.2 -0.9x?
8_murik_8 [283]

Answer:  (-\infty, 8)

Step-by-step explanation:

Given the following inequality:

0.35x - 4.8 < 5.2 -0.9x

You need to solve for "x" in order to find the solution.

The steps are:

1. Add 0.9x to both sides of the inequality:

0.35x - 4.8+0.9x < 5.2 -0.9x+0.9x\\\\1.25x-4.8

2. Add 4.8 to both sides:

1.25x-4.8+4.8

3. Divide both sides by 1.25:

\frac{1.25x}{1.25}

Notice that "x" is  less than 8. This indicates that 8 is not included in the solution and you must use parentheses.

The solution in Interval notation is:

(-\infty, 8)

8 0
3 years ago
Read 2 more answers
Bruno leaves Ms. Crabbe's office to return to the gym. As he moves 450 meters in 2 minutes, what is his velocity? Be sure to wri
Anuta_ua [19.1K]

Answer: 225 meters per second

Step-by-step explanation:

Bruno was able to reach 450 meters in just 2 minutes.

His velocity therefore, can be determined by the speed formula which is:

= Distance / Time

= 450 / 2

= 225 meters per second

= 225 m/s

His velocity is 225 m/s.

7 0
3 years ago
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