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andrey2020 [161]

2 years ago

6

a ships pilot knows that a building on the coast is 100 meters tall. if he finds the angle of elevation to be 2 degrees how far

is the ship from the costline ?

1 answer:

irina [24]2 years ago

8 0

Answer:

it is about 34 degrees celisuis to the right of the horizontal perimeter.

Step-by-step explanation:

You might be interested in

Trevor bought eight gallons of paint to paint his house. He used all but 1 quart how many quarts of paint did trevor use

melamori03 [73]

31 quarts, because there are 4 quarts in a gallon

7 0

3 years ago

SQRT is a parallelogram. If m∠QST = 72°, which of the following statements is true?

Mrrafil [7]

The answer to your question is option b because opposite angles in a quadrilateral are equal to one another

7 0

3 years ago

Read 2 more answers

Complete the identity. sin4x - cos4x = ?

Katyanochek1 [597]

Since sin(2x)=2sinxcosx, we can plug that in to get sin(4x)=2sin(2x)cos(2x)=2*2sinxcosxcos(2x)=4sinxcosxcos(2x). Since cos(2x) = cos^2x-sin^2x, we plug that in. In addition, cos4x=cos^2(2x)-sin^2(2x). Next, since cos^2x=(1+cos(2x))/2 and sin^2x= (1-cos(2x))/2, we plug those in to end up with 4sinxcosxcos(2x)-((1+cos(2x))/2-(1-cos(2x))/2)
=4sinxcosxcos(2x)-(2cos(2x)/2)=4sinxcosxcos(2x)-cos(2x)
=cos(2x)*(4sinxcosx-1). Since sinxcosx=sin(2x), we plug that back in to end up with cos(2x)*(4sin(2x)-1)

4 0

3 years ago

Read 2 more answers

10. A random sample of 10 fibers is taken from a collection of 92 fibers that consists of 43 fibers of polymer A, 17 fibers of p

vazorg [7]

Answer:

0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B

Step-by-step explanation:

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Fibers are chosen without replacement, which means that we use the hypergeometric distribution.

92 fibers means that $N = 92$

Sample of 10 means that $n = 10$

No polymeter B which means that $x = 0$

17 fibers of polymeter B which means that $k = 17$

a. What is the probability that the sample does not contain any fibers of polymer B

This is P(X = 0).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,92,10,17) = \frac{C_{17,0}*C_{75,10}}{C_{92,10}} = 0.1150$

0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B

4 0

2 years ago

During a certain epidemic, the number of people that are

qaws [65]

9514 1404 393

Answer:

1367 people

Step-by-step explanation:

The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...

i(t) = 1000(1.2^(t/7))

After 12 days, the number infected is modeled as ...

i(12) = 1000(1.2^(12/7)) ≈ 1367

About 1367 people are infected 12 days after discovery.

8 0

3 years ago