<span>So we want to know which number comes next in the series of numbers 107 98 90 83 77. First we find the pattern: 107-98=9, 98-90=8, 90-83=7, 83-77=6 so now we see that each number in the pattern is smaller by 1 than the previous number. so the next number will be 5 and 77-5=72 and that is the next number. Also the complete number series is: 72-4=68, 68-3=65, 65-2=63, 63-1=62 and finally 62-0= 62. </span>
Answer:
Step-by-step explanation:
first do this
Answer:
1 and 3 are both perpendicular to segment NY
Step-by-step explanation:
1. Find the slope of line NY
slope of NY = 5-(-7)/-11-5 = - 3/4
Any line that is perpendicular to NY should have a slope of the inverse of negative slope of NY.
2.Find the slope of perpendicular lines
the inverse of negative slope of NY = - (-4/3) = 4/3
<span>Point B is where the 21 degree angle of elevation was taken.
Point C is where the 47 degree angle of elevation was taken.
Point D is at the base of the cliff.
You now have a large triangle ABD
Two smaller triangles ABC and ACD
Putting in angles: Angle BCA = 133 degrees,
Angle BAC = 26 degrees
Considering triangle ABC:
a/Sin A = b/Sin B
2500/sin(26) = b/Sin(21)
Cross multiply.
(2500 * sin(21))/sin(26) = b
b (Side AC) = 2043.75m
Considering triangle ACD
This is right angled at D
sin = Opposite/Hypotenuse.
sin(47) = Opposite/2043.75
Opposite = sin(47) * 2043.75
Opposite = 1494.7m
This is the height of the cliff.</span>
-7 because it is integers so it’s going below sea level :) your welcome