1)
Cosine = base / hypotenuse
Secant = hypotenuse / base = 1/Cosine
Sec = 1/(5/6) = 6/5
2)
Sine = perpendicular / hypotenuse = 5/6
hypotenuse² = base² + perpendicular²
base = √(6² - 5²)
base = √11
Cotangent = base / perpendicular
= √11/5
Step-by-step explanation:
FYT and UYF are supplementary angles (together they cover all angles around Y on one side of the line TU, and that's is in total 180°).
so,
FYT = 180 - 42 1/8 = 137 7/8°
as 180 - 42 = 138, and then we subtract another 1/8. that gives 137 7/8.
We can form two ratios to help us solve this:
(2x+6):10 = (x+6):8
(2x+6) (x+6)
--------- = --------
10 8
Cross multiply:
8(2x+6) = 10(x+6)
Foil:
16x + 48 = 10x + 60
Move like variables to the same side:
16x - 10x = 60 - 48
6x = 12
x = 2
Line AE = 2x+6
Plug 2 for x into the equation: 2(2) + 6 = 10
Hope this helps, and May the Force Be With You!
-Jabba
16 pounds are greater than 16 ounces
Answer:
A.
Step-by-step explanation:
Look up "45 45 90 triangle" for diagrams to better explain.