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3 years ago

please help me with this! this was due yesterday and i need to get it done but im stuck on this question

Mathematics

2 answers:

Paul [167]3 years ago

5 0

Answer:

60* and 30*

Step-by-step explanation:

If two angles are complementary then they will add up to be 90, or inversely, if two angles add up to be 90, then they are complementary. If you know one acute angle, you can calculate its complementary angle by subtracting 90 and the angle.

REY [17]3 years ago

3 0

Answer:

m<qrt and m<trv because complementary angles add up to 90 degrees :)

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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

Find the product of 2/2 and 4/18 in simplest form. Also, determine whether the

Alisiya [41]

The product of the given two fractions are rational.

The given fractions include;

2/2 and 4/18

The product of the given fractions is calculated as follows;

$\frac{2}{2} \times \frac{4}{18} = \frac{2}{9}$

A rational number is a number that can be expressed in ratio form. These numbers are two integers expressed in form of fractions called numerator and denominators.

Irrational numbers cannot be expressed in form of simple ratios.

Thus, we can conclude that the product of the given two fractions are rational.

Learn more here: brainly.com/question/12606259

8 0

2 years ago

Solve 1/5x-1/3y=-1 and -3/4x+1/3y=12

dangina [55]

1/5x-1/3y=-1
Geometric figure: Straight Line
Slope = 1.200/2.000 = 0.600
x-intercept = -15/3 = -5
y-intercept = 15/5 = 3


-3/4x+1/3y=12
Geometric figure: Straight Line
Slope = 4.500/2.000 = 2.250
x-intercept = 144/-9 = 16/-1 = -16.00000
y-intercept = 144/4 = 36

3 0

3 years ago

Read 2 more answers

Create and solve a system of equations, solve for x and y.

disa [49]

Answer:

sheesh focus on class next time

Step-by-step explanation:

smh ugh

8 0

3 years ago

I need to turn this in! can anyone help ???

elixir [45]

Answer: It's (3,-2)

Step-by-step explanation:

5 0

3 years ago