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Scilla [17]
2 years ago
6

If tan(θ) = cot(40°), what is θ?

Mathematics
2 answers:
Luda [366]2 years ago
5 0

Answer:

Θ = 50°

Step-by-step explanation:

Using the cofunction identity

tan(90 - x)° = cotx°

Given

cot40°, then

tan Θ = tan(90 - 40)° = tan50°

Thus Θ = 50°

Evgesh-ka [11]2 years ago
4 0

Answer:

50 lol

Step-by-step explanation:

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Tanzila is selling tickets to the MS127 musical. On the first day of ticket sales she sold 2 adults tickets and 10 child tickets
vekshin1

Answer:

One adult ticket is $4 and one child ticket is $7

Step-by-step explanation:

Make a system of equations

2x + 10y = 78

8x + 5y = 67

Solve by elimination, multiply the 2nd equation by -2

2x +10y = 78

-16x -10y = -134

Add the equations

-14x = -56

x = 4

The price of one adult ticket is $4

Plug 4 in as x to find y

2(4) + 10y = 78

8 + 10y = 78

10y = 70

y = 7

The price of one child ticket is $7

4 0
2 years ago
For the right triangle find the missing length. Round your answer<br> to the nearest tenth.
monitta

Answer:

4

Step-by-step explanation:

w = 4 units

7 0
2 years ago
a statistics professor finds that when he schedules an office hour at the 10:30a, time slot, an average of three students arrive
Veseljchak [2.6K]

Answer:

The probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.

Step-by-step explanation:

Let <em>X</em> = number of students arriving at the 10:30 AM time slot.

The average number of students arriving at the 10:30 AM time slot is, <em>λ</em> = 3.

A random variable representing the occurrence of events in a fixed interval of time is known as Poisson random variables. For example, the number of customers visiting the bank in an hour or the number of typographical error is a book every 10 pages.

The random variable <em>X</em> is also a Poisson random variable because it represents the fixed number of students arriving at the 10:30 AM time slot.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 3.

The probability mass function of <em>X</em> is given by:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,3...,\ \lambda>0

Compute the probability of <em>X</em> = 2 as follows:

P(X=2)=\frac{e^{-3}3^{2}}{2!}=\frac{0.0498\times 9}{2}=0.2241

Thus, the probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.

6 0
3 years ago
Read 2 more answers
Based on one of the Triangle Congruence Postulates, the two triangles are shown are congruent
tankabanditka [31]

Answer:

true

Step-by-step explanation:

all the sides match up. One side (the base) is shared which means they are the same length. The triangle at the top has a single hash on a side and so does the bottom one. This means they are the same length. The same thing occurs with the last remaining sides, they are congruent because they both have two hash lines. Since all three sides of both triangle add up, the triangles ARE CONGRUENT.

3 0
2 years ago
What numbers would be in the in the 4 sections of a 2 x 2 array that shows the problem 19 x 11?
marishachu [46]

Answer:

number 2

Step-by-step explanation:

3 0
3 years ago
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