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3 years ago

the cosine of an angle is the ratio of the length of the leg_that angle to the length of the ___.?help please

Mathematics

1 answer:

krok68 [10]3 years ago

6 0

Answer:

The cosine of an angle is the ratio of the length of the leg adjacent to the angle to the length of the hypotenuse.

Step-by-step explanation:

In a right angled triangle, the cosine of an angle is the length of the adjacent side divided by the length of the hypotenuse.
Also it is the sine of the complementary angle.
The abbreviation is cos
The longest side of the triangle is called the hypotenuse,
The side opposite the angle theta is called the opposite side,
The third side is called the adjacent side.
Therefore, $cos(\theta) = \frac{adjacent}{ hypotenuse}$

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A distributor receives a large shipment of components. Thedistributor would like to accept the shipment if 10% or fewer ofthe co

posledela

Answer:

a. 0.2639 or 26.39%

b. 0.6242 or 62.42%

Step-by-step explanation:

This problem can be treated as a binomial model with probability of success p = proportion of defectives in the batch.

Number of trials (n) = 10.

For any number of successes 'k', the probability is:

$P(X=k) = \frac{n!}{(n-k)!k!}*p^k*(1-p)^{n-k}$

a. If p =0.10, what is P(x >1):

$P(X>1) = 1- P(X=0)-P(X=1)\\P(X>1) =1- \frac{10!}{(10-0)!0!}*0.10^0*(1-0.10)^{10-0}- \frac{10!}{(10-1)!1!}*0.10^1*(1-0.10)^{10-1}\\P(X>1) = 1-0.348678-0.287420\\P(X>1) =0.2639$

The probability is 0.2639 or 26.39%.

b. If p =0.20, what is P(x >1):

$P(X>1) = 1- P(X=0)-P(X=1)\\P(X>1) =1- \frac{10!}{(10-0)!0!}*0.20^0*(1-0.20)^{10-0}- \frac{10!}{(10-1)!1!}*0.20^1*(1-0.20)^{10-1}\\P(X>1) = 1-0.107374-0.268435\\P(X>1) =0.6242$

The probability is 0.6242 or 62.42%.

5 0

3 years ago

If x=5 find the value of (x+3) ²

musickatia [10]

Answer:

Step-by-step explanation:

x = 5

5 + 3 = 8

8²= 8 x 8 which is 64

6 0

3 years ago

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Working together, Shawn and Hector can install a tile floor in 6 hours. It would take Shawn 9 hours to do the job alone. What is

laiz [17]

The product of the sum of the their rates and the time it took them to finish the job should be equal to one whole job. This may be expressed by the equation,
(1/9 + r) x 6 = 1
Solving for the value of r gives an answer of r = 1/18. Thus, Hector does 1/18 of the job in 1 hour.

3 0

4 years ago

Read 2 more answers

What is the least common multiple of the denominatiors for the two fractions 1/6 and 5/8

aksik [14]

Answer:

$24$

Step-by-step explanation:

6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

If you list out the multiples of 6 and 8 you will find that the least common multiple is 24.

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4 years ago

Which point best represents 10?

satela [25.4K]

Answer:

Step-by-step explanation:

The square root of √10 shown in decimal form is 3.1622776... and the placement of Q is the closest to the answer.

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3 years ago

the cosine of an angle is the ratio of the length of the leg_______that angle to the length of the _________.?help please

the cosine of an angle is the ratio of the length of the leg_that angle to the length of the ___.?help please