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zepelin [54]
3 years ago
8

If 0 ≤ Ø < 90 degrees, and tan Ø= 2/3, what is sinØ + cosØ?

Mathematics
1 answer:
Alika [10]3 years ago
4 0

Answer:

1.38

Step-by-step explanation:

tan Ø = 2/3

Ø = tan⁻¹(2/3)

Ø = 33.69

sin 33.69 ≈ 0.55

cos 33.69 ≈ 0.83

sin Ø + cos Ø ≈ 1.38

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Help asap pls
Svet_ta [14]

Answer:

Eating dinner and eating dessert are dependent events because

P(dinner) . P(dessert) = 0.9 × 0.6 = 0.54 which is not equal to

P(dinner and desert) = 0.5 ⇒ answer A

Step-by-step explanation:

* Lets study the meaning independent and dependent probability  

- Two events are independent if the result of the second event is not

  affected by the result of the first event

- If A and B are independent events, the probability of both events  

 is the product of the probabilities of the both events

- P (A and B) = P(A) · P(B)

* Lets solve the question  

∵ There is a 90% chance that a person eats dinner

∴ P(eating dinner) = 90/100 = 0.9

∵ There is a 60% chance a person eats dessert

∴ P(eating dessert) = 60/100 = 0.6

- If eating dinner and dating dessert are independent events, then

 probability of both events is the product of the probabilities of the

 both events

∵ P(eating dinner and dessert) = P(eating dinner) . P(eating dessert)

∴ P(eating dinner and dessert) = 0.9 × 0.6 = 0.54

∵ There is a 50% chance the person will eat dinner and dessert

∴ P(eating dinner and dessert) = 50/100 = 0.5

∵ P(eating dinner and dessert) ≠ P(eating dinner) . P(eating dessert)

∴ Eating dinner and eating dessert are dependent events because

  P(dinner) . P(dessert) = 0.9 × 0.6 = 0.54 which is not equal to

  P(dinner and desert) = 0.5

8 0
2 years ago
What is the y-intercept of the function f(x) = _2/9×+1/3​
Leokris [45]

Answer:The y intercept is (0.0.333)

Step-by-step explanation:

5 0
3 years ago
In 2015, I’m buffalo, New York, there were 8,625 arrest, 2,678 robberies, 865 assaults, and 20 murders. The population of Buffal
Nutka1998 [239]
865:2678 is the answer
8 0
2 years ago
Mrs.Kennedy has 1/4 liter of oranges she want to give 3 students in her advisory
balandron [24]

I don't know

Step-by-step explanation:

.........

6 0
3 years ago
Read 2 more answers
Math help please <br><br> Thanks <br> A lot
babunello [35]

Answer:  

2 hours:  3968  <u>[I don't understand the $ sign in the answer box]</u>

At midnight:  12137

Step-by-step explanation:

The bacteria are increasing by 15% every hour.  So for every hour we will have what we started with, plus 15% more.  

The "15% more" can be represented mathematically with (1 + 0.15) or 1.15.  Let's call this the "growth factor" and assign it the variable b.  b is (1 +  percent increase).

Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450

At the end of the second hour we're increased by 15% again:

(3450)*(1.15) = 3968.

Each additional hour add another (1.15) factor,  If we assign a to be the starting population, this can be represented by:

P = a(1.15)^t for this sample that increase 15% per hour.  t is time, in hours.  

If a represents the growth factor, and P is the total population, the general expression is

P = ab^t

Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM.  That is a 10 hour period, so t = 10

P = (3000)*(1.15)^10

P = 12137

8 0
2 years ago
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