Answer:
The sequence is subtracting 12 each time. The next two numbers would be 152, and 140
Step-by-step explanation:
Answer:
x +4
Step-by-step explanation:
The trinomial x² +8x +16 is a perfect square trinomial, so factors as ...
x² +8x +16 = (x +4)²
Assuming the side length is one of the factors of the given area, it will be ...
side length = (x +4)
Answer:
3
Step-by-step explanation:
Call that number “x”
The square of that number is x^2
Also as the cube is x^3
The ratio between these 2 values is 1:3, this means x^2 / x^3 = 1 / 3
<==> 1 / x = 1 / 3 (eliminate “x^2” for numerator and denominator of the fraction x^2 / x^3 )
<==> x = 1 * 3 / 1 = 3
So, that number is 3 ! This math problem seems simple ;)
Answer:
Part 4) 
Part 10) The angle of elevation is 
Part 11) The angle of depression is 
Part 12)
or 
Part 13)
or 
Step-by-step explanation:
Part 4) we have that

The angle theta lies in Quadrant II
so
The sine of angle theta is positive
Remember that

substitute the given value




Part 10)
Let
----> angle of elevation
we know that
----> opposite side angle theta divided by adjacent side angle theta

Part 11)
Let
----> angle of depression
we know that
----> opposite side angle theta divided by hypotenuse


Part 12) What is the exact value of arcsin(0.5)?
Remember that

therefore
-----> has two solutions
----> I Quadrant
or
----> II Quadrant
Part 13) What is the exact value of 
The sine is negative
so
The angle lies in Quadrant III or Quadrant IV
Remember that

therefore
----> has two solutions
----> IV Quadrant
or
----> III Quadrant
The answer is 8, I hoped I helped you!