<span>A linear pair of angles, is formed when two lines intersect.
Supplementary are two angles that add up to 180, so yes, they do in fact form a linear pair.
</span>

8 0

4 years ago

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A wooden lead pencil is in the shape of a cylinder. The pencil is 21 cm long with radius 0,4 cm and its lead is of radius 0,1 cm

exis [7]

Answer:

Answer3. 9.9cm^3

Step-by-step explanation:

First calculate the volume of the whole pencil. Next, calculate the volume of the lead. Last, subtract. Take away the volume of the lead from the volume of the pencil:

VolWood =

VolPencil - VolLead

First, Volume of the pencil:

vol = pi•r^2•h

= 3.14•(.4)^2•21

= 10.5504 cm^3

Next, volume of lead:

vol = pi•r^2•h

= pi•(.1)^2•21

= .6594cm^3

Last, subtract:

VolWood =

VolPencil - VolLead

= 10.5504 - .6594

= 9.891

~= 9.9cm^3

The volume of the wood is 9.9cm^3.

6 0

2 years ago

PLS ANSWER QUICK, HELP AND EXPLAIN

Eduardwww [97]

Answer:

Step-by-step explanation:

5 0

3 years ago

The technology company DataGenetics suggests that % of all four-digit personal identification numbers, or PIN codes, have a repe

alina1380 [7]

Answer: 0.9995

Step-by-step explanation:

Number of digits to make any code (0 to 9) = 10

If repetition is allowed , then the total number of possible four digits pin codes that can be formed= $10^4=10,000$

The number of ways to make for digit code without repetition of digits =

$10\times9\times8\times7=5040$

The number of ways to make for digit codes having repetition =

$10,000-5040=4960$

Probability that a person has pin code that has repetition:-

$\dfrac{4960}{10,000}=0.496$

Let x be number of pin codes with repeating digits.

Using binomial probability distribution formula ,

If the PIN codes of seven people are selected at random, then the probability that at least one of them will have repeating digits:-

$P(x\geq1)=1-(P(0))\\\\=1-(^{11}C_0(0.496)^0(1-0.496)^{11})$

$=1-((0.496)^0(0.504)^{11})=0.999466989333\approx0.9995$

Hence, the probability that at least one of them will have repeating digits = 0.9995

3 0

3 years ago