Write the ordered pair that represents yz. Then find the magnitude of yz . y=14,-23 z=23,-14
2 answers:
Answer:
Ordered pair of yz is ( 9 , 9 ) and Magnitude of yz is 9√2 unit.
Step-by-step explanation:
Given ordered pair of y and z are ( 14 , -23 ) and ( 23 , -14 ) respectively
To find: Ordered pair of yz and magnitude of yz
To find order pair of yz we subtract ordered pair of y from z.
Ordered pair of yz = ( 23 - 14 , -14 - (-23) )
= ( 9 , -14 + 23 )
= ( 9 , 9 )
Magnitude of yz ,
=
=
=
Therefore, Ordered pair of yz is ( 9 , 9 ) and Magnitude of yz is 9√2 unit.
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Answer:
55.96 miles
Step-by-step explanation:
Distance = Speed X time
Car first moved east for 1 hr , distance = 40 x 1 = 40 miles
Car then moved north-east for 30 min, distance = 40 x 0.5 = 20 miles
From trigonometry,
sin 45 = ; y = 20 sin 45 ; y= 14.14 miles
cos 45 = ; x = 20 cos 45 ; x = 14.14 miles
using Pythagoras theorem;
=
+
= +
= 3131.08
=
z = 55.96 miles
Answer:
818.4 in²
Step-by-step explanation:
The area (A) of the shaded region is
A = area of circle - ( area of white sector + area of triangle )
= ( π × 27.8²) - (π × 27.8² × +(0.5 × 27.8 ×27.8 × sin150°)
= 2427.95 - (1416.30 + 193.21 )
= 2427.95 - 1609.51 ≈ 818.4 in²