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natali 33 [55]
1 year ago
11

I need some help answering this

Mathematics
1 answer:
maria [59]1 year ago
3 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°

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Airline fares for a flight from Dallas to Austin are $30 for first class and $25 for tourist class. If a flight had 52 passenger
Nezavi [6.7K]
Set up 2 equations.(x = number of people in first class, y = tourist class)

30x + 25y = 1360
x + y = 52

You have 2 equations and 2 unknown. You can solve them.
I like to use the substitution method 

Because    y = 52 - x
Then          30x + 25(52 - x) = 1360, solve for x.

30x + 1300 - 25x = 1360
5x = 60
x = 12

Use the x to solve y
30(12) + 25y = 1360
360 + 25y = 1360
25y = 1000
y = 40





8 0
3 years ago
Which event has exactly 12 possible outcomes?
lara [203]

Answer:

rolling a number cube with sides labeled 1 through 6 and tossing a coin.

Step-by-step explanation:

We will resolve each statement to determine the events that has exactly 12 possible outcomes.

N = number of possible outcomes for a cube

Nc = number of possible outcomes for a coin

Nca = number of possible outcomes for the cards

i. rolling a number cube with sides labeled 1 through 6 and then rolling the number cube again

Nt = N × N

N = 6 ( cube has 6 possible outcomes and its rolled twice)

Nt = 6 × 6 = 36

ii. tossing a coin and randomly choosing one of 4 different cards.

Nt = Nc × Nca

Nc = 2 ( coin has two outcomes)

Nca = 4 ( 4 possible cards )

B = 2 × 4 = 8

iii. rolling a number cube with sides labeled 1 through 6 and tossing a coin.

N = N × Nc

N = 6 ( cube has 6 possible outcomes)

Nc = 2 (coin has two faces)

N = 6 × 2 = 12 (correct)

Iv. tossing a coin 6 times.

N = Nc^6

Nc = 2

N = 2^6 = 64

Therefore, the correct answer is iii.

rolling a number cube with sides labeled 1 through 6 and tossing a coin.

3 0
3 years ago
What is the value of x<br><br>a. 25<br>b. 12<br>c. 7 <br>d. 5​
tia_tia [17]
The answer is 5 because a^2 + b^2 = c^2
8 0
2 years ago
Read 2 more answers
Ronald spins a spinner that has 10 sections numbered from 1 to 10. What is the probability that the spinner lands on a prime num
vladimir1956 [14]
Prime number is a whole number that has no possible divisors that 1 and itself. Prime numbers are 2, 3, 5.7.11,13,17,19,23 and 29. From 1 to 10 there are 3 prime numbers: 3,5 and 7. 
The probability can be calculated as the ratio between the number of "good" events and the total number of possible events. There are three "good" events (3,5 or 7) and 10 total events, so the probability that the spinner lands on a prime number is: 3/10. So, none of the given options is true.
5 0
3 years ago
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Solve for x: |x − 2| + 10 = 12 (1 point)
True [87]

Answer:

I think that would be 1

Step-by-step explanation:

Do everything in the lines before anything else. -2 becomes a 2 and then you add that with the 12 and divide 12 on both sides to get one.

6 0
1 year ago
Read 2 more answers
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