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Tom [10]
2 years ago
15

Find the EXACT circumference and area of a circle that has a radius of 6 cm. (use pi for )

Mathematics
1 answer:
irina [24]2 years ago
5 0
Circumference of circle = 2 pi r
= 2 x 3.14 x 6
= 6.28 x 6
= 37.68 cm

Area of circle = pi r^2
= 3.14 x 6^2
= 3.14 x 36
= 113.04 cm^2
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Some people took part in a game. The frequency shows information about their scores.
Marizza181 [45]

Answer:

The mean = 17.54

Step-by-step explanation:

Form a table as below;

<u>Interval         Frequency{f}      Midpoint of frequency{x}          fx    </u>

1-7                    19                         4                                            76

8-10                  14                         9                                            126

11-15                  15                         13                                           195

16-20                20                        18                                           360

21-35                 10                        28                                          280

36-50                13                         43                                          559

Sum                   91                                                                        1596

The mean  of grouped data = Sum of { Interval Midpoint * Frequency } /Sum of frequency

The mean= 1596 / 91

The mean = 17.54

5 0
3 years ago
Which choice is equivalent to the quotient below shown here when x&gt;0?
qwelly [4]

Answer:

Choice B is correct

Step-by-step explanation:

The given radical division can be expressed in the following form;

\frac{\sqrt{16x^{3} } }{\sqrt{8x} }

Using the properties of radical division, the expression can be expressed in the following form;

\sqrt{\frac{16x^{3} }{8x} }=\sqrt{2x^{2} }

Simplifying further yields;

\sqrt{2x^{2} }=\sqrt{2}*\sqrt{x^{2} }=x\sqrt{2}

Choice B is thus the correct alternative

5 0
3 years ago
Read 2 more answers
The results of a survey asking 500 people about their favorite ice cream flavor are shown in the table.
Stels [109]

Answer:

Between Chocolate and Banana

Step-by-step explanation:

Theoretically, I think the experimental probability differs the most between chocolate ice cream flavor and banana ice cream flavor because out of the people surveyed, most people love chocolate and the least love banana.

7 0
2 years ago
Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v
blagie [28]
U = ( -8 , -8)
v = (-1 , 2 )
<span>the magnitude of vector projection of u onto v =
</span><span>dot product of u and v over the magnitude of v = (u . v )/ ll v ll
</span>
<span>ll v ll = √(-1² + 2²) = √5
</span>
u . v = ( -8 , -8) . ( -1 , 2) = -8*-1+2*-8 = -8 
∴ <span>(u . v )/ ll v ll = -8/√5</span>
∴ the vector projection of u onto v = [(u . v )/ ll v ll] * [<span>v/ ll v ll]
</span>
<span>                          = [-8/√5] * (-1,2)/√5 = ( 8/5 , -16/5 )
</span>
The other orthogonal component = u - ( 8/5 , -16/5 )
                                   = (-8 , -8 ) - <span> ( 8/5 , -16/5 ) = (-48/5 , -24/5 )
</span>
So, u <span>as a sum of two orthogonal vectors will be
</span>
u = ( 8/5 , -16/5 ) + <span>(-48/5 , -24/5 )</span>










3 0
3 years ago
Read 2 more answers
If m&lt;1=4x+2and m&lt;2=110 what is x
Rina8888 [55]

Answer:

4x2+110=180

4x=68

x=17

4 0
3 years ago
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