Answer:
105 feet.
Step-by-step explanation:
The longer diagonal is opposite the longer angle in the parallelogram.
The longer angle = 180 - 36 = 144 degrees. (Reason: he same side angles are supplementary).
So, by the law of cosines:
x^ 2 = 40^2 + 70^2 - 2*40*70 cos 140 where x = the diagonal.
x^2 = 11030.50
x = 105.03 feet.
Answer:
60 books
Step-by-step explanation:
let the number of books Willy has be x , then
Tammy has 4x books
Willy has 180 fewer books , that is Tammy has 180 more than Willy , so
4x = x + 180 ( subtract x from both sides )
3x = 180 ( divide both sides by 3 )
x = 60
Thus
Willy has 60 books andTammy has 4 × 60 = 240 books
which is 180 more than Willy
Answer:
Step-by-step explanation:
The blue line represent the full line length.
We can add the parted black segments together and set it equal to the line.
Answer:
64 ft²
Step-by-step explanation:
10 ft · 10 ft
100 ft²
6 · 6 = 36
36 ÷ 2 = 18
18 ft² + 18 ft² = 36 ft²
100 ft² - 36 ft²
64 ft²
Answer:
5x² + 2x - 3 - px - p
= 5x² + 5x - 3x - 3 - p(x + 1)
= 5x(x + 1) - 3(x + 1) - p(x + 1)
= (x + 1)(5x - 3 - p)
