Answer:
x = 95
Step-by-step explanation:
Using the rule of logarithms
• x = n ⇔ x =
Given
(x + 30) = 3, then
x + 30 = 5³ = 125 ( subtract 30 from both sides )
x = 95
Answer:
7000
Step-by-step explanation:
Answer:
67.5
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Dilation is the enlargement or reduction of an object by a factor.
The area of ABCD = AB * BC = 30
As a result of the dilation to form A'B'C'D', A'B' = 3/2 * AB, B'C' = 3/2 * BC, C'D' = 3/2 * CD and A'D' = 3/2 * AD. Hence:
Area of A'B'C'D' = A'B' * B'C' = 3/2 * AB * 3/2 * BC = 9/4 * (AB * BC) = 9/4 * 30 = 67.5
34.76
o
, nearly.
Explanation:
Angle of elevation = arc tan( (vertical height)/(length os the shadow)).
Here, this angle is
arc tan (12.5
/
18) =
34.78
o
, nearly