| u | = √(2² + (-1²)) = √5
| v | = √ ( 1² + (-8)² = √65
cos (u,v) = ( u * v ) / (| u | * | v |) =
(2 * 1 + ( -1 ) * ( - 8 )) / √5 √ 65 = (2 + 8) / √5 √65 = 10 / (√5 √ 65 )
The length of a larger diagonal:
d 1² = | u |² + 2 |u| |v| + | v |² = 5 + (2 √5 √65 * 10 / √5 √65 )+65
d 1² = 70 + 20 = 90
d 1 = √ 90 = 3√10
d 2² = 70 - 20 = 50
d 2 = √50 = 5√2
Answer:
The lengths of the diagonals are: 3√10 and 5√2 .
Answer:
<u>Laura has to walk at 2 1/4 miles per hour or faster to arrive to her job on time.</u>
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Distance from Laura's home to her job = 4 1/2 miles
Time when Laura starts to walk to her job : 9:00 a.m.
Time when Laura is scheduled to start working : 11:00 a.m.
2. Will she arrive at her job on time?
Time Laura has to complete the distance from her home to her job = 2 hours (11 -9)
Speed that Laura need to walk to arrive to her job on time = Distance from Laura's home to her job/Time Laura has to complete the distance from her home to her job
Speed that Laura need to walk to arrive to her job on time = 4 1/2 miles/2 hours = (4 1/2)/2 = (9/2)/2 = 9/2 * 1/2 = 9/4 = 2 1/4
Speed that Laura need to walk to arrive to her job on time = 2 1/4 miles per hour.
<u>Laura has to walk at 2 1/4 miles per hour or faster to arrive to her job on time.</u>
Answer:
south
Step-by-step explanation:
it’s half way turn because 180 is half of one 360 and north is right across from south:)
Answer:
c = 6.1
Step-by-step explanation:
Given that: B = 18°
, C = 152°, and b = 4.
The missing side, c, can be determined by applying the sine rule which states that:
= 
= 
c = 
= 
= 6.0773
c = 6.1
Therefore, the value of the missing side, c, is 6.1
Answer:
Step-by-step explanation:
60 -1 1/2 (8) 2
= 60 - 3/2 (8)(2)
= 60 - 3(8)
= 60 - 24
= 36
