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3 years ago

What are the six trigonometric functions of theta = 2pi ?

1 answer:

3 0

sinx=sin(π3−π)=−sin(π3)=−12.
cosx=cos(π3−π)=−cos(π3)=−√32.
tanx=−12−√32=1√3=√3.
cotx=1√3=√33.
secx=1cos=−2√3=−2√33.
cscx=1sin=−2.

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Picture provided help!

weqwewe [10]

Answer:

A -60i - 14j

Step-by-step explanation:

u = -9i + 8j

v = 7i + 5j

2u = 2(-9i + 8j) = -18i + 16j

6v = 6(7i + 5j) = 42i + 30j

2u - 6v

(-18i + 16j) - (42i + 30j)

(-18i - 42i) + (16j-30j)

-60i - 14j

5 0

3 years ago

Round this “0.7660444431”into 4 decimals places!!!!!

ANTONII [103]

Answer:

.7660

Step-by-step explanation:

when you get to 0 at 7660 you round with the number next to it if its 5 or bigger you add a one to the number since 4 isn't greater than or equal to 5 than your numbers stay the same

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2 years ago

If jaden drove 40 miles how many gallons of gas would be left in the tank

Veronika [31]

The x axis of the graph show the distance driven and y axis represnt Gas remains

at 40 miles of distance i.e x =40

Then value of y at x = 40 is 3.5 i.e. y = 3.5

7 0

1 year ago

I need to a paint a spherical storage tank in the pool. it has a radius of 8 feet and the paint cans i brought will cover 75 squ

Alexxandr [17]

<h3>Answer: 11 cans</h3>

======================================================

Explanation:

SA = surface area of the sphere

SA = 4*pi*r^2

SA = 4*pi*8^2

SA = 804.247719

The surface area is roughly 804.247719 sq ft.

I used the calculator's stored version of pi to get the most accuracy possible.

Since 1 paint can covers 75 sq ft, divide that surface area over 75 to find out how many cans you need.

804.247719/75 = 10.72330292

Round up to the nearest integer to get 11

You'll have leftover paint, but it's better to go over the goal than come up short.

8 0

2 years ago

Answer the following questions and round your answers to 2 decimal places. 84% of all Americans live in cities with population g

nignag [31]

Answer:

15.23% probability that exactly 42 of them live in cities with population greater than 50,000 people.

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they live in cities with population greater than 50,000 people. Or they do not. The probability of a person living in a city with population greater than 50,000 people is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

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

And p is the probability of X happening.

84% of all Americans live in cities with population greater than 50,000 people.

This means that $p = 0.84$

If 50 Americans are selected at random, Find the probability that Exactly 42 of them live in cities with population greater than 50,000 people.

This is P(X = 42) when n = 50. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 42) = C_{50,42}.(0.84)^{42}.(0.16)^{8} = 0.1523$

15.23% probability that exactly 42 of them live in cities with population greater than 50,000 people.

4 0

2 years ago