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pogonyaev
3 years ago
7

Tanθ=sinθ/cosθ True or False

Mathematics
2 answers:
Sedbober [7]3 years ago
5 0
If;
A = Adjacent
O = Opposite
H = Hypotenuse

Then,
Sin Ф = O/H
Cos Ф = A/H
Therefore,
(Sin Ф)/Cos Ф) = (O/H)/(A/H) = (O/H)*(H/A) = O/A

Now,
tan Ф = O/A ----

Therefore, it is true that
tan Ф = SinФ/CosФ
kap26 [50]3 years ago
3 0
Take a right angled triangle  with side lengths x, y, and z, where x is the hypotenuse.
sin θ=z/x
cos θ=y/x
sinθ/cosθ=(z/x)/(y/x)=z/y=tan θ
the statement is true.

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The automatic opening device of a military cargo parachute has been designed to open when the parachute is 200 m above the groun
kirill115 [55]

Step-by-step answer:

Given:

mean, mu = 200 m

standard deviation, sigma = 30 m

sample size, N = 5

Maximum deviation for no damage, D = 100 m

Solution:

Z-score for maximum deviation

= (D-mu)/sigma

= (100-200)/30

= -10/3

From normal distribution tables, the probability of right tail with

Z= - 10/3

is 0.9995709, which represents the probability that the parachute will open at 100m or more.

Thus, by the multiplication rule, the probability that all five parachutes will ALL open at 100m or more is the product of the individual probabilities, i.e.

P(all five safe) = 0.9995709^5 = 0.9978565

So there is an approximately 1-0.9978565 = 0.214% probability that at least one of the five parachutes will open below 100m

6 0
3 years ago
Can u help me answer dis
gavmur [86]

Answer:

the base is 10 and the height is 6.4

3 0
2 years ago
Four pieces of rope unknown(but equal) length and 10 more feet of rope are attached together. The resulting rope is 30 feet long
attashe74 [19]
The 4 pieces of rope equals 5 feet each one
7 0
3 years ago
A small​ plane's maximum takeoff weight is 2000 pounds or less. six passengers weigh an average of 150 pounds each. use an inequ
Agata [3.3K]
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8 0
3 years ago
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Your English teacher has decided to randomly assign poems for the class to read. The syllabus includes four poems by Shakespeare
Tresset [83]
The probability of event A and B to both occur is denoted as P(A ∩ B) = P(A) P(B|A). It is the probability that Event A occurs times the probability that Event B occurs, given that Event A has occurred.

So, to find the probability that you will be assigned a poem by Shakespeare and by Tennyson, let Event A = the event that a Shakespeare poem will be assigned to you; and let Event B = the event that the second poem that will be assigned to you will be by Tennyson.

At first, there are a total of 13 poems that would be randomly assigned in your class. There are 4 poems by Shakespeare, thus P(A) is 4/13.
After the first selection, there would be 13 poems left. Therefore, P(B|A) = 2/12
Based on the rule of multiplication,
P(A ∩ B) = P(A) P(B|A)P(A ∩ B) = 4/13 * 2/12
P(A ∩ B) = 8/156
P(A ∩ B) = 2/39

The probability that you will be assigned a poem by Shakespeare, then a poem by Tennyson is 2/39 or 5.13%.
6 0
3 years ago
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