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Blizzard [7]
3 years ago
9

Match the statements in the table with the words/phrases contained in the word bank Word Bank:

Mathematics
1 answer:
kykrilka [37]3 years ago
6 0

Answer:

                                            Circumcenter          Incenter              Centroid

Formed by intersection of   Perp. Bisectors    Angle bisectors     Medians

Type of circle                        Circumscribed      Inscribed               No circle

Special property              Equidistant from Equidistant from  Center of mass

                                                      vertices              Sides

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The ratio of volume of a cone and a hemisphere of same base radius and height is?
aliya0001 [1]

Answer:

1/2

Step-by-step explanation:

Since it is given that the cone and the hemisphere have the same height, and since the height of a hemisphere would be equal to its radius, the cones height must also be equal to its base radius.

With this information we can use the respective volume formulas.

Hemisphere:  \frac{2}{3}πr^3

Cone:  \frac{1}{3}πhr^2

Since h (height) = r we can say the cone volume equals:

\frac{1}{3}πr^3

Now to find the ratio we divide the cone volume equation by the hemisphere volume equation

pi and r^3 cancels out from the division and we are left with

ratio = (1/3)/(2/3)

ratio = 1/2

7 0
3 years ago
Find the surface area of the pyramid shown to the nearest whole number.<br> 6ft 5ft 5ft
Tom [10]

Answer:75,

Step-by-step explanation:

1/2 bh= A for one T 5*5=25 25*6= 150

150/2=75

OR

5*5/2=12.5

12.5*6=75

4 0
2 years ago
The 2010 General Social Survey reported a sample where about 48% of US residents thought marijuana should be made legal. If we w
Sati [7]

Answer:

The sample size is  n  = 600

Step-by-step explanation:

From the question we are told that

    The  sample proportion is  \r  p = 0.48

     The  margin of error is  MOE  =  0.04

Given that the confidence level is 95%  the level of significance is mathematically represented as

        \alpha  =  100 - 95

        \alpha  =  5 \%

        \alpha  =  0.05

Next  we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table , the values is

                   Z_{\frac{\alpha }{2}  } =  1.96

The reason we are obtaining critical value of    \frac{\alpha }{2} instead of    \alpha is because  

\alpha represents the area under the normal curve where the confidence level interval (  1-\alpha) did not cover which include both the left and right tail while  

\frac{\alpha }{2} is just the area of one tail which what we required to calculate the margin of error

Generally the margin of error is mathematically represented as

      MOE  =  Z_{\frac{\alpha }{2} } *  \sqrt{ \frac{\r p(1-  \r p )}{n} }

substituting values

          0.04= 1.96*  \sqrt{ \frac{0.48(1-  0.48 )}{n} }

         0.02041 = \sqrt{ \frac{0.48(52 )}{n} }

         0.02041 = \sqrt{ \frac{ 0.2496}{n} }

          0.02041^2  = \frac{ 0.2496}{n}

           0.0004166 = \frac{ 0.2496}{n}

=>       n  = 600

   

5 0
3 years ago
What is 2-1+5×4×11 order of operation ​
Alenkasestr [34]

Answer:

221

Step-by-step explanation:

2 - 1 + 5 · 4 · 11 = 2 - 1 + 20 · 11  = 2 - 1 + 220

2 - 1 + 220 = 1 + 220

7 0
3 years ago
15 Points!!!!!!!!! Mike attends basketball practice sessions every week. The coach assesses his progress at the end of each sess
Naily [24]

Answer:

In the case of Mike's free throws, the Domain that describes this relationship can be either B or D.

Step-by-step explanation:

In the case of a relationship that represents a 'constant' increase or decrease, we know that there will be an independent and dependent variable.  The independent variable is our 'x' value and the dependent variable is our 'y' value.  In this case, they tell us that the number of free throws Mike misses is dependent on the number of practices sessions he has attended.  Therefor, 'x' would represent the number of practices and 'y' would represent the number of missed free throws. At the start, before practices or an 'x' value of 0, Mike, misses 6 free throws.  He continues to decrease his missed throws by for each practice, until the sixth practice where he misses none.  So, the 'x' values would be 0, 1, 2, 3, 4, 5, and 6.  This can be shown by letter 'B', which includes all numbers, or letter 'D', which represents all numbers between, and including 0 and 6.

6 0
3 years ago
Read 2 more answers
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