Answer:
CD = 3.602019190339
Step-by-step explanation:
CD = DA - CA
DA = DB×Cos(29) = 18.7×cos(29) = 16.355388523507
BA = BA×cos(43) = 18.7×cos(43) = 13.676314220278
CA = BA÷tan(47) = 13.676314220278÷tan(47) = 12.753369333168
Then
CD = 16.355388523507 - 12.753369333168 = 3.602019190339
Step-by-step explanation:
for that we use Pythagoras, as the distance is always the baseline (Hypotenuse) of a right-angled triangle created by the x and y coordinate differences between the 2 points.
15.
distance² = (8-3)² + (9-2)² = 5² + 7² = 25 + 49 = 74
distance = sqrt(74) = 8.602325267...
16.
we need to write down the point coordinates first :
(-4, 3)
(1, -3)
distance² = (1 - -4)² + (-3 - 3)² = 5² + (-6)² = 25 + 36 = 61
distance = sqrt(61) = 7.810249676...
Answer:
a) -2 < 3
b) |-12| < |15| <em>(the absolute value of -12 is 12 so that's comparing 12 to 15)</em>
c) 3 > -4
d) |15| > |-12|
e) 7 > -11
