| 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:
Step-by-step explanation:
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XE[_4.2,2.2]
Answer:
37.7 feet
Step-by-step explanation:
Given that:
Measurements of Frankie's yard = 20ft x 32ft
He wants to build a path from one corner to another.
To find:
The length of path = ?
Solution:
Let us consider a rectangle 
as shown in the attached image in the answer area.
We are given the two adjacent sides of a rectangle and we have to find diagonal of the rectangle.
To find the diagonal, we can use the Pythagorean Theorem.
We are given the base and perpendicular of the right angled triangle and we have to find the hypotenuse.
According to Pythagorean theorem:
Answer:
The answer is 'C'
Step-by-step explanation:
Congruent simply means "the same." When a line divides two parralel lines transversals are created. This means that there are angles on both lines that are similar. To fully understand which angles would be the same, I reccommend researching "transversals" for more information, or asking your teacher about it as it is hard to explain without a proper diagram.
Answer:Add them up
Step-by-step explanation:
