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anygoal [31]
2 years ago
8

What is the volume of the cone? Use π ≈ 3.14.

Mathematics
2 answers:
barxatty [35]2 years ago
6 0

the following formula is used to find the volume of a cone

V - volume = πr²h/3

where π = 3.14, r - radius and h - height

the height hasnt been directly given

we can find height using Pythogoras theorem for the right angled triangle given

4² + h² = 5²

16 + h² = 25

h² = 25 - 9

h² = 9

h = 3

height = 3

diameter is 4, therefore radius - diameter / 2 = 4/ 2 = 2

radius = 2

substituting values in the volume equation

V = 3.14 x 2² x 3 /3

= 12.56

volume is 12.56 cubic units



Ivan2 years ago
5 0
I hope this helps you

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A business school professor uses multiple choice tests. Each question on his exams has five possible answers which are assumed t
avanturin [10]

Answer:

a. The null hypothesis for this test is that the observed distribution is the same as uniform distribution

b. The degrees of freedom do you have for this test is 4

c.  The calculated value of the test statistic is 9.250

Step-by-step explanation:

a. According to the given data we can conclude that the null hypothesis for this test is that the observed distribution is the same as uniform distribution.

b. In order to calculate the degrees of freedom do you have for this test we would have to make the following calculation:

degrees of freedom=k-1

degrees of freedom=5-1

degrees of freedom=4

c. In order to calculate the value of the test statistic first we have to calculate the frecuency expected as follows:

expected frecuency=total observed frecuency/total number of category

expected frecuency=1,000/5

expected frecuency=200

Hence, to calculate the value of the test statistic we have to calculate the following formula:

x∧2=∑(fo-fe)∧2/fe

=(185-200)∧2/200+(230-200)∧2/200+(215-200)∧2/200+(180-200)∧2+(190-200)∧2

=9.250

The calculated value of the test statistic is 9.250

7 0
2 years ago
Joe and Nate went for a walk. The system representing each boy’s progress is graphed below. A graph titled Joe and Nate's progre
Lena [83]

Answer:

A,D E

Step-by-step explanation:

I took the quiz-ur welcome.

Dont forget to rate and thanks!

8 0
2 years ago
Explain why there are two sine ratios, two cosine ratios, and two tangent ratios for any right triangle
taurus [48]
Each angle has a sin, cos, and tan associated with it.
in a right angled triangle there are two other angles which each have ratios.
5 0
2 years ago
Read 2 more answers
Using approximations to 1 significant figure,
malfutka [58]

Answer:

200

Step-by-step explanation:

Given:

0.482 x 61.2^2 ÷ √98.01

61.2^2 = 3745.44

√98.01 = 9.9

So,

0.482 × 3745.44 ÷ 9.9

= 1,805.30208 ÷ 9.9

= 182.35374545454

To one significant figure

= 200

One significant figure means only 1 non zero value and others are zero

5 0
2 years ago
Choose the correct simplification of the expression d3 ⋅ d5.
snow_tiger [21]
d^3*d^5=d^{3+5}=d^8
5 0
2 years ago
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