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Natasha2012 [34]
3 years ago
14

What is the answer to question 3 and 4

Mathematics
1 answer:
aivan3 [116]3 years ago
5 0

25% perstange  has for number one


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What is the value of cosθ given that (−2, −3) is a point on the terminal side of θ ?
snow_tiger [21]

Answer:

-0.555

Step-by-step explanation:

The terminal point of the vector in this problem is

(-2,-3)

So, it is in the 3rd quadrant.

We want to find the angle \theta that gives the direction of this vector.

We can write the components of the vector along the x- and y- direction as:

v_x = -2\\v_y = -3

The tangent of the angle will be equal to the ratio between the y-component and the x-component, so:

tan \theta = \frac{v_y}{v_x}=\frac{-3}{-2}=1.5\\\theta=tan^{-1}(1.5)=56.3^{\circ}

However, since we are in the 3rd quadrant, the actual angle is:

\theta=180^{\circ} + 56.3^{\circ} = 236.3^{\circ}

So now we can find the cosine of the angle, which will be negative:

cos \theta = cos(236.3^{\circ})=-0.555

7 0
3 years ago
Terminal point corresponding to theta=-120 degrees
Valentin [98]
That will be   the points corresponding to cos 60 in 3rd quadrant
which is (-1,-2)

3 0
3 years ago
UwU
aalyn [17]
3.141592653589793238462643383279 502884197169399375105820974944 5923078164062862089986280348253421170679
7 0
2 years ago
Read 2 more answers
A place from this table is chosen at random. Let event A = The place is a city.
Crank

Answer:

Final answer is P(A^c)=\frac{3}{7}

Step-by-step explanation:

We have been given a table containing a list of few places that are either city or in North America.

Total number of places in that list = 7

That means sample space has 7 possible events.

Given that a place from this table is chosen at random. Let event A = The place is a city.

Now we need to find about what is P(A^c).

That means find find the probability that chosen place is not a city.

there are 3 places in the list which are not city.

Hence favorable number of events = 3

Then required probability is given by favorable/total events.

P(A^c)=\frac{3}{7}

6 0
3 years ago
The function v(r) 4/3 pie r to the 3rd = can be used to find the volume of air inside a basketball given its radius. What does V
umka21 [38]

Answer:

  the volume of the basketball when the radius is r

Step-by-step explanation:

V(r) is a function name V and argument list (r). Often the letter of the function name is a reminder of what the function computes. Here, V is chosen as the name because it computes Volume. The function uses r (for radius) as its independent variable. That is why r is listed in parentheses next to the function name.

So, V(r) represents a function that computes the volume of a sphere with radius r.

6 0
2 years ago
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