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2 years ago

13

an octagon has sides that all have a length of y. Write a simplified algebraic expression for the perimeter of the octagon in te

rms of y.

1 answer:

padilas [110]2 years ago

5 0

Answer = 8y

Step-by-step explanation:

if an octagon has 8 sides and each side is = to y then the total side length in the primiter is = to 8sides times y or 8y

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Which of the binomials below is a factor of this trinomial? 6x2 - 6x - 72

vova2212 [387]

Just factor to find the roots

<span>6x² - 6x - 72 = 0 </span>
<span>6(x² - x - 12) = 0 </span>
<span>6(x - 4)(x + 3) = 0 </span>

<span>B: x - 4</span>

3 0

3 years ago

Read 2 more answers

To avoid detection at customs, a traveler has placed 6 narcotic tablets in an Urn containing 9 vitamin pills that are similar in

Alexus [3.1K]

Answer:

$\frac{4}{91}$

Step-by-step explanation:

We are told that to avoid detection at customs, a traveler has placed 6 narcotic tablets in an Urn containing 9 vitamin pills that are similar in appearance.

To find the probability that the traveler will be arrested for illegal possession of narcotics we will use theoretical probability formula.

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Number of possible outcomes}}$

Favorable outcomes will be $_{3}^{6}\textrm{C}$ .

$\text{Favorable outcomes}=_{3}^{6}\textrm{C}=\frac{6!}{(6-3)!3!}$

$\text{Favorable outcomes}=\frac{6!}{3!3!}$

$\text{Favorable outcomes}=\frac{6\cdot 5\cdot 4\cdot3!}{3\cdot 2\cdot 1\cdot3!}$

$\text{Favorable outcomes}=\frac{6\cdot 5\cdot 4}{3\cdot 2}$

$\text{Favorable outcomes}=5\cdot 4=20$

Now let us find number of possible outcomes.

$\text{Number of possible outcomes}=_{3}^{15}\textrm{C}=\frac{15!}{(15-3)!3!}$

$\text{Number of possible outcomes}=\frac{15!}{12!3!}$

$\text{Number of possible outcomes}=\frac{15\cdot 14\cdot 13\cdot 12!}{12!\cdot 3\cdot 2\cdot 1}$

$\text{Number of possible outcomes}=\frac{15\cdot 14\cdot 13}{ 3\cdot 2\cdot 1}$

$\text{Number of possible outcomes}=5\cdot 7\cdot 13=455$

Upon substituting our values in probability formula we will get,

$\text{Probability that the traveler will be arrested for illegal possession of narcotics}=\frac{20}{455}$

Upon dividing numerator and denominator by 5 we will get,

$\text{Probability that the traveler will be arrested for illegal possession of narcotics}=\frac{4}{91}$

Therefore, the probability that the traveler will be arrested for illegal possession of narcotics is $\frac{4}{91}$ .

6 0

3 years ago

A signalized intersection has a cycle length of 70 seconds. For one traffic movement, the displayed all-red time is set to 2 sec

Marina CMI [18]

Answer:

the displayed green time for the traffic movement is 30 seconds

Step-by-step explanation:

Given the data in the question;

Cycle length; C = 70 seconds

Displayed all-red time; AR = 2 seconds

Displayed yellow time; Y = 5 seconds

Effective red time; r = 37 seconds

total lost time per cycle; $t_L$ = 4 seconds

the displayed green time for the traffic movement; G = ?

First we determine the Effective green time ( g );

Effective red time; r = Cycle length; C - Effective green time ( g )

so,

Effective green time ( g ) = C - r

we substitute

Effective green time ( g ) = 70 seconds - 37 seconds

Effective green time ( g ) = 33 seconds

Now,

Effective green time ( g ) = displayed green time; G + Displayed yellow time; Y + Displayed all-red time; AR - total lost time per cycle; $t_L$

i.e

g = G + Y + AR - $t_L$

we substitute

33 = G + 5 + 2 - 4

33 = G + 3

G = 33 - 3

G = 30 seconds

Therefore, the displayed green time for the traffic movement is 30 seconds

7 0

2 years ago

Today is the 65th day of school. If we are out of 180 days, how do I write this as a

jeka57 [31]

13/36 would be the answer I believe

8 0

2 years ago

Help what is the measure of the angle x?

Schach [20]

Answer:

x = 20

Step-by-step explanation:

There is a right angle which is 90 degrees. Part of the angle is 30 degrees, so the other measure is 60 degrees, which is the 3x.

Make an equation.

3x = 60

Divide both sides by 3

3x/3 = 60/3

x = 20

7 0

2 years ago