6=x/5 solve the question X=
1 answer:
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Answer:
Histogram B best represents the data.
Step-by-step explanation:
student: Hours:
a 0.6
b 0.5
c 2.5
d 2.5
e 1.5
f 2.5
g 0.5
h 1.5
I 1.5
j 2.5
k 2.5
l 2.5
m 1.5
n 1.5
o 1.5
Since clearly from the table we could see that none of the student spend more than 3 hours in listening music each day.
Hence, the graph in option A and option D are incorrect.
Now we arrange our data in the interval of 1 unit to get:
Interval Number of students
0-1 3
1-2 6
2-3 6
Hence, the histogram that represents this data is:
Histogram B
Based on the calculations, the depth of tent is equal to 12 feet.
<h3>How to calculate the depth of the tent?</h3>Based on the diagram (see attachment) and information provided, we can logically deduce the following parameters (points):
- Triangle ABC is an isosceles triangle (AB = AC).
- The front and back of the triangle are identical triangles.
- Side AD is perpendicular side BC.
- CD is the midpoint of BC i.e CD = BC/2 = 6/2 = 3 feet.
Next, we would determine the height of the right-angled triangle (ADC) by applying Pythagorean theorem:
AC² = AD² + DC²
AD² = AC² - DC²
AD² = 5² - 3²
AD² = 25 - 9
AD² = 16
AD = √16
AD = 4 feet.
Also, we would determine the area of the triangle (ABC):
Area = 1/2 × b × h
<u>Where:</u>
- b is the base area.
- h is the height.
Substituting the given parameters into the formula, we have;
Area = 1/2 × 6 × 4
Area = 12 feet².
Depth of tent = 3 × height of ADC
Depth of tent = 3 × 4
Depth of tent = 12 feet.
Read more on area of triangle here: brainly.com/question/21917592
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