The answers are the first, third, and last. I took the test.
48 is 80% of 60
48 of 60 can be written as 48/60
Multiply both the numerator and the denominator by 100
48/60 · 100/100 = 80/100 = .8 = 80%
If you are using a calculator, simply enter 48 ÷ 60 · 100 which will give you 80 as the answer.
| 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 .
A nautical mile<span> is based on the circumference of the planet Earth. It is 1.15078 miles or 6076.12 feet or 1.852 kilometers
A mile is </span>a unit of linear measure equal to 5,280 feet, or 1,760 yards (approximately 1.609 kilometers).<span />