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2 years ago

The sine of the complimentary angle to 75° a. 0.65 c. 0.34 b. 0.57 d. 0.26

Mathematics

2 answers:

netineya [11]2 years ago

7 0

The complementary angle to 75 degrees is 25 degrees.
The sine of 15 degrees is .2588
LETTER D

emmainna [20.7K]2 years ago

3 0

Answer:

d. 0.26

Step-by-step explanation:

We are asked to find the value of the The sine of the complimentary angle to 75°.

Since we know that complementary angles add up-to 90 degrees, so let us find the measure of complementary angle of 75° angle by subtracting 75° from 90°.

$\text{Measure of complementary angle}=90^o-75^0$

$\text{Measure of complementary angle}=15^0$

Now let us find the sine of 15 degree angle. Using a calculator we will get,

$sin(15^o)=0.258819045103$

Upon rounding our answer to nearest hundredth we will get,

$sin(15^o)\approx 0.26$

Therefore, the sine of complementary angle to 75° is 0.26 and option 'd' is the correct choice.

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A fisherman catches fish according to a Poisson process with rate lambda = 0.6 per hour. The fisherman will keep fishing for two

spayn [35]

Answer:

Step-by-step explanation:

Given that a fisherman catches fish according to a Poisson process with rate lambda = 0.6 per hour.

The fisherman will keep fishing for two hours.

Since he continues till he gets atleast one fish, we can calculate probability as follows:

(a) Find the probability that he stays for more than two hours.

= Prob (x=0) in I two hours and P(X≥1) in 3rd hour

=P(x=0)*P(X=0)*P(X≥1) (since each hour is independent of the other)

= $0.5488^2*(1-0.8781)\\\\=0.2645$

(b) Find the probability that the total time he spends fishing is between two and five hours.

Prob that he does not get fish in I two hours * prob he gets fish between 3 and 5 hours

= $P(0)^2 *F(1)^3\\=0.5488^2*0.2645^3\\=0.00557$

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= $\frac{0.6}{1-0.6} \\=3$

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= Expected fishing time total/expected fishing time for 4 hours

=3/0.6*4

= 1.25 hours

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Clint is in study hall reading the hunger games after 20 minutes he is on page 151 after 45 minutes he's on page 181 how many pa

Mademuasel [1]

After 20 minutes Clint is on page = 151

After 45 minutes Clint is on page = 181

Time slot = $45-20=25$ minutes

Difference in pages in 25 minutes = $181-151=30$ pages.

Lets suppose Clint is reading each page at same pace.

So , In 25 minutes, he can read = 30 pages

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Initial time is 20 minutes, so he can read the number of pages in 20 minutes = $20\times1.2=24$

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