3 years ago

Find the exact value of the real number y. y=arctan(1)

Mathematics

1 answer:

Anni [7]3 years ago

3 0

Tan(pi/4)=1=sin(pi/4)/cos(pi/4)=(2^1/2)/2)/(2^1/2)/2)

You might be interested in

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 m

bezimeni [28]

Answer: 0.75

Step-by-step explanation:

Given : Interval for uniform distribution : [0 minute, 5 minutes]

The probability density function will be :-

$f(x)=\dfrac{1}{5-0}=\dfrac{1}{5}=0.2\ \ ,\ 0$

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

$P(x>1.25)=\int^{5}_{1.25}f(x)\ dx\\\\=(0.2)[x]^{5}_{1.25}\\\\=(0.2)(5-1.25)=0.75$

Hence, the probability that a randomly selected passenger has a waiting time greater than 1.25 minutes = 0.75

7 0

3 years ago

Which regular polygons could be used to make regular and semi-regular tessellations? Check all that apply.

fiasKO [112]

Answer:

A,B,D,E,G

Step-by-step explanation:

Edgenuity 2020

4 0

2 years ago

Read 2 more answers

A lottery has 60 numbers. To win the jackpot one needs to match all 7 numbers that are drawn by the machine. Is this a PERMUTATI

Vadim26 [7]

Answer: Hence, our required probability is $\dfrac{1}{386206920}$

Step-by-step explanation:

Since we have given that

Numbers in a lottery = 60

Numbers to win the jackpot = 7 numbers

We need to find the probability to hit the jackpot:

So, our required probability is given by

$P=\dfrac{^7C_7}{^{60}C_7}\\\\P=\dfrac{1}{386206920}$

This is a combination problem as we need to select 7 numbers irrespective of any arrangements.

Hence, our required probability is [tex]\dfrac{1}{386206920}[/tex

4 0

2 years ago

Identify the factors of x2 + 16y2.

BabaBlast [244]

The way to find the factores is by seeking the polonomial's roots, or zeros!

To find the roots, we set the polinomial equation to zero:

x^2+16y^2=0

Then we solve this equation:

x^2=-16y^2

This is only true, if x=y=0.

3 0

2 years ago

Read 2 more answers

Interest earned: $84<br> Principal: 600<br> Interest rate: 7%<br> Time: ?

olga2289 [7]

If it simple interest it’s 2 years

6 0

2 years ago

Read 2 more answers