Answer:
3m = 18
Step-by-step explanation:
9 + 12m = 6 + 15(m - 1)
9 + 12m = 6 + 15m - 15
3m = 18
Answer:
a for saturn is 9.55 astronomical units
Step-by-step explanation:
Here, we are interested in calculating the distance from the sun.
Mathematically, from the question;
P = a^3/2
29.5 = a^3/2
a = 29.5^2/3
a = [3√(29.5)]^2
a = 9.55 in astronomical units
Answer:
Rotation, then reflection, then translation
Step-by-step explanation:
The sequence of three rigid transformations that is used to map Triangle ABC onto TriangleA"B"C" are what we called ROTATION ,REFLECTION AND TRANSLATION
ROTATION can be defined as the process or waysbin which an object tend to rotate about a fixed point without the object changing either its size or shape.
REFLECTION occur in a situation where an object is been flipped across a line without the object changing either its size or shape.
TRANSLATION can be defined as the process or ways of sliding a figure in any or various direction without the figure changing either its size or shape .
Answer:
A. 0.69
Step-by-step explanation:
We need to use cosine theorem:
c²=a²+b² - 2ab* cos(θ)
c=8, a=7, b=11
8² = 7²+11² - 2*7*11 *cos(θ)
64 = 49 + 121 - 154*cos(θ)
64 - 170 = - 154*cos(θ)
- 106/ (- 154) = cos(θ)
cos(θ) = 0.69
Answer:
$13.20/hr
Step-by-step explanation:
A 10% wage increase would amount to 0.10($12) = $1.20. Adding this increase to the starting rate $12/hr results in $13.20/ hr.
A faster way in which to do this is shown below:
Wages after a 10% increase = (1.10)($12/hr) = $13.20/hr
