Find the measure of the angle to the nearest tenth of a degree.

Mathematics

1 answer:

Digiron [165]3 years ago

8 0

Answer:

Option B is correct.

Step-by-step explanation:

We need to find the value of S in cos S = 0.9092

cos S = 0.9092

To find value of S we will find cos^-1(0.9092) i.e

S = cos^-1 (0.9092)

S = 24.6 °

So, the measure of the angle to the nearest tenth of a degree of cos S = 0.9092 is 24.6°

So, Option B is correct.

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Find the rectangular coordinates of the point ( -3, 1/2 π)

alexdok [17]

Answer:

$x = -3 cos (\frac{\pi}{2})= 0$

$y = -3 sin (\frac{\pi}{2})= -3$

And then the rectangular coordinates for this case are :

$(x = 0 , y = -3)$

Step-by-step explanation:

We have the following point given $P = (-3, \frac{\pi}{2})$ and we want to conver from polar to rectangular coordinates and we need to use the following formulas:

$x = r cos \theta$

$y = r sin \theta$

For this case we have that:

$r = -3$

And:

$\theta = \frac{\pi}{2}$

Replacing we got:

$x = -3 cos (\frac{\pi}{2})= 0$

$y = -3 sin (\frac{\pi}{2})= -3$

And then the rectangular coordinates for this case are :

$(x = 0 , y = -3)$

4 0

3 years ago

How can you apply the distributive property to factor out the greatest common factor for 40j - 16 = ?

Ronch [10]

The greatest common factor is 8. So your answer would be: 8(5j - 2) because 8 x 5j= 40j and 8 x 2= 16

6 0

2 years ago

Ray Of Light [21]

The graph is attached.

We first graph the point where his catch reached the surface, (35, 0). Since it travels upward at a constant rate, the graph will be linear. We also need to know where it starts (what depth it is at when he begins reeling it in). We can use the formula d=rt as a template for our function. d would be distance (in our case, depth), r is the rate (speed) and t is the amount of time.

To find how far the catch had to travel to reach the surface, we set up our equation as:
d = 0.1(35)

This will tell us how much distance it traveled in 35 seconds. 0.1(35)=3.5, so the catch started 3.5m under water. It then travels up at 0.1 m per second.