Answer:
The two angles are 69° and 21°.
Step-by-step explanation:
Write out the expression:
let x and y be two angles that are complementary and the sum of their measures is 90°
-> x° + y° = 90°
if one angle is 6º more than three times the other angle:
-> x° = 6° +3y°
Plug x = 6+3y into x° + y° = 90°
6° + 3y° + y° = 90°
Solve for y
4y° = 84°
y° = 21°
Plug y into x° + y° = 90°
x° + 21° = 90°
Solve for x°
x° = 90° - 21° = 69°
6.57000 and in the expontent is how many times u move the decimal up :> hope i helped
Step-by-step Answer::
"Each month, the balance in the account increases by 0.25%"
means F(n)=F(n-1)*1.0025
"Elaine deposited $50 into a bank account."
means F(0) = 50
So a recursive definition is
F(n) = F(n-1)*1.0025 for n=1,2,3,4... and F(0)=50
Symbols used in the actual answer choices may differ, but with the same principle.
Answer:
11.8 meters
Step-by-step explanation:
The triangle drawn is a right triangle. Two of its side lengths are given. The Pythagorean theorem tells you how those relate to the third side.
The sum of the squares of the legs of the triangle is equal to the square of it hypotenuse.
(?)² + 34² = 36²
(?)² + 1156 = 1296 . . . evaluate the squares
(?)² = 140 . . . . . . . . . . subtract 1156 from both sides
(?) = √140 . . . . . . . . . take the square root
(?) ≈ 11.8 . . . meters
The length of the shadow is about 11.8 meters.
