Answer:
0.49
Explanation:
Given the expression:
tan 26°
Evaluating using calculator
tan 26° = 0.4877
Hence the decimal rounded to the nearest hundredth is 0.49
Complete question :
Mr. Nelson lost one of his students' test papers. He knows that the other 4 students scored as follows: 60, 62, 56, 57. He also knows that the average score is 59.2. What is the score on the missing paper?
Answer:
61
Step-by-step explanation:
Given the following :
Total number of students = 4 + 1 missing = 5
Score on the four avaliable papers = 60, 62, 56, 57
Average score of the 5 papers = 59.2
Score on missing paper :
Sum of each score / number of papers
Sum of each score = sum of available scores + missing score
Let missing score = m
(60 + 62 + 56 + 57 + m) = 235 + m
Recall:
Average = total sum / number of observations
Hence,
59.2 = (235 + m) / 5
59.2 × 5 = 235 + m
296 = 235 + m
m = 296 - 235
m = 61
Missing score = 61
Answer:
5
Step-by-step explanation:
The distance formula is:

We can plug in the given coordinates into the equation:

Answer:

Step-by-step explanation:
To find the volume of water in the vase, subtract the volume of the marbles from the volume of the cylindrical vase.
..............................................................................................................................
The marbles can be modeled as <u>spheres</u>.
<u>Volume of a sphere</u>

<u>Radius</u>

Therefore, the volume of 9 marbles, each of diameter 3 inches is:

..............................................................................................................................
The vase can be modeled as a <u>cylinder</u>.
<u>Volume of a cylinder</u>

Therefore, the volume of a cylinder with a base of diameter 6 in and a height of 12 in is:

..............................................................................................................................
<u>Volume of water</u>
<u />

Answer:
36
Step-by-step explanation: