Answer:
See the graph attached
Step-by-step explanation:
Every minute = 3m
At time zero, the depth is zero
Giving coordinates of (0, 0)
At time 1 minute, the depth is 3m
Giving coordinates of (1, 3)
This gives a linear equation
Slope = Δy/Δx
= (3-0)/(1-0)
= 3/1
= 3
Take any general point (x, y)
The equation of the line is:
(y-0)/(x-0) = 3
y/x = 3
y = 3x
See the plot which goes up to a depth of 5m
The ex- suffix often correlates a word to mean "outside", while the in- suffix often correlates a word to mean "inside". An exterior angle of a polygon would mean "an angle outside of a polygon". An interior angle of a polygon would mean "an angle inside of a polygon". Three exterior angles of this polygon would be angle B, angle D, and angle A. This is because these angles are outside of the polygon due to the extending lines from the shape. Two interior angles of this polygon would be angle 6 and angle 8 (explanation was given when I first began answering this question). Angle 9 would be exterior since it is outside of the polygon. Two exterior angles of the polygon that are congruent are angle D and angle 9, since they are both 90 degrees (right angles).
Answer:
3
Step-by-step explanation:
The original number is 3. To solve this you can take your final result (12) and ADD what you subtracted from the product (3) which would then give you the product (15). Next to find your beginning value you can divide by 5.
12+3 = 15
15/5 = 3
Answer:
BZ = 64/23 = 2 18/23
Step-by-step explanation:
The angle bisectors divide the triangle into proportional parts, so we have ...
CB/CY = AB/AY
CB = CY(AB/AY) = 4(8/6) = 16/3 . . . . multiply by CY and evaluate
and ...
BZ/CB = AZ/AC
BZ = AZ(CB/AC) . . . . multiply by CB
But we have ...
AZ = 8 -BZ, so this becomes ...
BZ = (8 -BZ)(16/3)/(10)
BZ(1 +8/15) = 64/15 . . . . add the BZ term on the right to both sides
BZ = (64/15)(15/23) = 64/23 . . . . divide by the coefficient of BZ
BZ = 64/23 = 2 18/23
Check the picture below.
we could also look at it from the inscribed angle theorem, bearing in mind that the intercepted arc is 180°.