Answer:
Step-by-step explanation:
some rules of logarithmic function
vice-versa 
If ㏑(a) = ㏑(b), then a = b
∴ 
Use the 2nd rule to simplify it
2㏑(2x) - ㏑(10x) = ㏑(30)
Use the 3rd rule in the 1st term
∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)
∴ ㏑(4x²) - ㏑(10x) = ㏑(30)
- Use the 1st rule with the left hand side
Use the 4th rule
Multiply both sides by 5
∴ 2 x = 150
- Divide both sides by 2
∴ x = 75
The value of x = 75
Natural number because they are while
Answer:
In triangle DEF:
Given: 
, 
and 
To list the sides of a triangle in order from shortest to longest.
In the Figure as shown below :
If one of the angle of a triangle is larger than, then the sides opposite the larger angle is longer than the side opposite to the shorter
Therefore, the list of the sides of a triangle DEF in order from shortest to longest is,
Radius of the circle = r = 6.4 cm
Length of the arc = s = 8 cm
Measure of angle formed by the arc = <span>θ = ?
The radius of the circle, arc length and the angle made by the arc at the center of the circle are related by the equation:
s = r</span><span>θ
From here we can find </span><span>θ by:
</span><span>θ = s/r
Using the values, we get:
</span><span>θ = 8/6.4
</span><span>
θ</span><span>= 1.25 radians
Thus the radian measure of the angle </span>θ made by the arc will be 1.25 radians
Answer:
Step-by-step explanation:
These problems where you are not told what basic shape you are working with and have to assume some properties, just should not be asked. You are to assume that this is a parallelepiped.
The answer that you want is B
The length of the rectangle is 8 in given along the bottom. The top is also 8 in. The width of that rectangle is 4. The rectangle is the top of the drawing.
