Answer:
650^9
power gets added when base is same
Answer:
a) ∠ABC = 54°
a) ∠ABC = 43°
Step-by-step explanation:
<u>Trigonometric ratios</u>

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
<u>Part (a)</u>
Use the cos trig ratio to find an expression for the measure of BD:


Use the cos trig ratio and the found length of BD to find angle ABD:



Therefore:



<u>Part (b)</u>
Use the tan trig ratio to find angle CAD:



Therefore:


∠ABC = ∠ABD
Interior angles of a triangle sum to 180°



Answer:
15 inches
Step-by-step explanation:
The space diagonal of a rectangular prism is the root of the sum of the squares of the edge lengths. The longest straight part that will fit in the box will be at most ...
l = √(4² +4² +14²) = √228 ≈ 15.10 . . . . inches
The greatest length the part could have been is 15 inches.
The rate would be the gradient which is dy/dx
so the answers are
4x and 5x
Answer:
1885 flowers
Step-by-step explanation:
Given that:
Radius, r of circle = 100 feets
The Circumference of the circke is thus ; 2πr
C = 2 * π * 100
C = 628.31853 feets
Converting feets to inches
1 foot = 12 inches
628.31853 feets = 628.31853 * 12 = 7539.8223 inches
If flowers are spaced at 4 inches :
Number of flowers that can be planted :
Circumference of circle / spacing
7539.8223 / 4
= 1884.9555 flowers
= 1885 flowers