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zloy xaker [14]
3 years ago
8

Which Pythagorean identity is correct?

Mathematics
2 answers:
Alla [95]3 years ago
5 0

Answer:

Option 2:

tangent squared (theta) + 1 = secant squared (theta)

Step-by-step explanation:

1 + tan²X

1 + sin²X/cos²X

(cos²X + sin²X)/cos²X

1/cos²X

sec²X

navik [9.2K]3 years ago
5 0

Answer:

tangent squared (theta) + 1 = secant squared (theta)

e2020

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The Department of Commerce in a particular state has determined that the number of small businesses that declare bankruptcy per
skad [1K]

Answer:

B) 0.1487

Step-by-step explanation:

Let X be the discrete random variable that represents the number of events observed over a given time period.  If X follows a Poisson distribution, then the probability of observing k events over the time period is:

P(X=k)=\frac{\lambda^{k} *e^{-\lambda} }{k!}

Where:

\lambda=Mean\\k=number\hspace{3}of\hspace{3}events\\e=Euler's\hspace{3}number

So, the probability that exactly 5 bankruptcies occur next month is:

P(X=5)=\frac{6.4^{5} *e^{-6.4} }{5!} =\frac{17.84083537}{120} =0.1486736281\approx0.1487

4 0
3 years ago
The distance between City A and City B is 200 miles. A length of 2.1 feet represents this distance on a certain wall map. City C
ratelena [41]

Answer:

300 miles

Step-by-step explanation:

200/2.1= 95.238...

95.238...*3.15=300

Hope this helps :)

3 0
3 years ago
Read 2 more answers
Data was collected of students’ hair color and gender. The results are in the table below (see picture) question #1: what is the
Zinaida [17]
#1:  15%
#2:  1/10 = 10%

There are 6 girls who have blonde hair out of 40 students; 6/40 = 15%.

There are 4 boys that have black hair out of 40 students; 4/40 = 1/10 = 10%.
8 0
3 years ago
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The radius of a circle is 8 inches. What is the angle of an arc 2π inches long?
Y_Kistochka [10]

Answer:

π/4 radians

Step-by-step explanation:

The arc length formula is s = rФ, where Ф is the central angle (in radians).

Here, r = 8 inches and s = arc length = 2π inches.  We need to find the central angle, Ф.  The formula given above is s = rФ, or, equivalently,

Ф = s/r.

Here, the central angle is Ф = s/r = 2π/8, or π/4 radians.

3 0
2 years ago
Solve for x: -1 < x + 3 < 5 ​
Oxana [17]
<h3>Answer: Choice B)  -4 < x < 2</h3>

Work Shown:

-1 < x+3 < 5

-1-3 < x+3-3 < 5-3 ... subtract 3 from all sides

-4 < x < 2

7 0
3 years ago
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