For this case what you have is the same as a rectangle triangle where you have as data the degree of inclination of the hypotenuse with respect to the base and the height of the triangle.
We have to find the value of the hypotenuse.
For this we use the following trigonometric relationship:
senx = C.O / h
Where
x: angle
C.O: opposite leg
h: hypotenuse.
Substituting the values we have:
sen (12) = 100 / h
We cleared h:
h = 100 / sin (12)
h = 480.97 m
Answer:
Galileo should walk 480.97 m up the inclined plane
Answer:
(-1, -1) Let me know if the explanation didn't make sense.
Step-by-step explanation:
If we graph the three points we can see what looks like a quadrilateral's upper right portion, so we need a point in the lower left. This means M is only connected to N here and P is only connected to N. So we want to find the slope of these two lines.
MN is easy since their y values are the same, the slope is 0.
NP we just use the slope formula so (y2-y1)/(x2-x1) = (-1-3)/(5-4) = -4.
So now we want a line from point M with a slope of -4 to intersect with a line from point P with a slope of 0. To find these lines weuse point slope form for those two points. The formula for point slope form is y - y1 = m(x-x1)
y-3 = -4(x+2) -> y = -4x-5
y+1 = 0(x-5) -> y = -1
So now we want these two to intersect. We just set them equal to each other.
-1 = -4x -5 -> -1 = x
So this gives us our x value. Now we can plug that into either function to find the y value. This is super easy of we use y = -1 because all y values in this are -1, so the point Q is (-1, -1)
0.38^• or 7/18. If the x after the g and before the i is a multiplication (btw the ^• is a repeater
Answer:
The answer is 20,358,520
Step-by-step explanation:
Selecting 6 numbers from a collection of 52 numbers regardless of order involves a combination.
Note: if regards was taken into order of selection, this would be a permutation.
Hence, the different 6 number selections out of 52 is
52C6 = 52! / [6!*(52-6)!]
= 52!/(6!*46!)
= 20,358,520
