Answer:
x = 
Step-by-step explanation:
Using the rule of exponents
= 
Note that 8 = 2³ and 2 =
, then
=
, that is
= 
Since the bases on both sides are equal, equate the exponents
3x = 1 ( divide both sides by 3 )
x = 
Answer:
A. B. C
They surely share a proportional relationship
4/6=66.67%
5/8=62.5%
Therfore 4/6 is bigger than 5/8
Answer:
The first one is correct.
Step-by-step explanation:
I know a thing or two about a thing or two about powers of 10.
9514 1404 393
Answer:
80.5°
Step-by-step explanation:
The applicable trig function is the tangent.
Tan = Opposite/Adjacent
In this scenario, the side opposite the angle is the tower height, 324 m. The side adjacent is the distance to the tower, 54 m. Then the angle α is related by ...
tan(α) = 324/54
The value of the angle with this tangent is found using the arctangent function:
α = arctan(324/54) ≈ 80.5°
She should set her binoculars to 80.5°.