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Ulleksa [173]
3 years ago
11

Select the statement that best justifies the conclusion based on the given information,

Mathematics
1 answer:
Studentka2010 [4]3 years ago
4 0

Answer:

The third statement is true reason.

Step-by-step explanation:

See the diagram given with this question.

The conclusion is that lines l₁ and line l₂ intersect only at point P.

A line contains at least two points - is not the reason for this conclusion.

Through any two different points, exactly one line exists - is also not the reason for the above conclusion because we are concerned about only P point here.

If two lines intersect, then exactly one plane contains both lines - is not the actual reason as there is no mention of a plane in the conclusion.

If two lines intersect, then their intersection is exactly one point - this gives the actual reason for the conclusion above and the only point of intersection of two lines l₁ and l₂ is point P only. (Answer)

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Find the surface area of the cone.Use 3.14 for pi and round your answer to the nearest hundredth
atroni [7]

Answer:

145.0 cm^2

Step-by-step explanation:

Given data

r= 4cm

l= 5cm

h=??

Apply Pythagoras theorem to find h we have

h^2= 4^2+5^2

h^2= 16+25

h^2= 41

h=√41

h= 6.4cm

Substitute into the formula for the surface area of cone

A=πr(r+√h^2+r^2)

A=3.14*4(4+√6.4^2+4^2)

A=12.56(4+√40.96+16)

A=12.56(4+√56.96)

A=12.56(4+7.547)

A=12.56*11.547

A=145.0 cm^2

4 0
3 years ago
Is 1/2 x 3/5 larger or smaller than 1/2? Why?
Shalnov [3]
1/2 is smaller than 3/5. if you to give them common denominators 1/2 would be 5/10 but 3/5 would be 6/10
6 0
3 years ago
Which sequence could be described by the explicit definition: a n = n 2 − 5
kirza4 [7]

The sequence represented by given explicit definition is:

-4,-1,4,11,20,....

Step-by-step explanation:

We will find the terms of the sequence to find the right sequence for given explicit definition

Given explicit formula is:

a_n=n^2-5

We will put n=1,2,3,4,5...... in the formula

So,

Putting n=1

a_1=(1)^2-5\\=1-5\\=-4

Putting n=2

a_2=(2)^2-5\\=4-5\\=-1

Putting n=3

a_3=(3)^2-5\\=9-5\\=4

Putting n=4

a_4=(4)^2-5\\=16-5\\=11

so, comparing the values with given options we can conclude that

The sequence represented by given explicit definition is:

-4,-1,4,11,20,....

Keywords: Sequence, Explicit definition

Learn more about sequences at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

#LearnwithBrainly

5 0
3 years ago
What is -40 divided by (-5)
GrogVix [38]

Answer:

8

Step-by-step explanation:

bro just use the calculator haha thanks for the points <3

4 0
4 years ago
What kind of transformation is illustrated in this figure?
garik1379 [7]

Answer:

reflection

Step-by-step explanation:

the kind of transformation is a reflection.

4 0
3 years ago
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