Answer:
(4X-3)(3X^2-1)
Step-by-step explanation:
12X^3-9X^2-4X+3=
3X^2*(4X-3)-(4X-3)=
(4X-3)(3X^2-1)
9514 1404 393
Answer:
70° (number in the blank at the bottom)
Step-by-step explanation:
You need to know the meaning of "complement of an angle."
Complementary angles have a sum of 90°. So, the complement of 20° is the angle that makes the total 90°. It is 70°.
The line at the bottom of the figure tells you how to work the problem. It says "the cosine of an angle is the sine of its complement." If you put numbers in this statement, it tells you ...
the cosine of 20° is the sine of 70°
So, the answer to the question at the top of the page is ...
look up the value of sin(70°) in the table
Answer:
A delivery truck, Mr. Jones drives 290400 feet per hour.
Step-by-step explanation:
To Determine:
How many feet per hour is Mr. Jones driving?
Solution Steps:
- A delivery truck travels 55 miles per hour.
As we know that
- Total number of feet in one mile = 5,280
so
Total number of feet in 55 miles = 5,280 × 55 = 290400
Thus
A delivery truck travels 290400 feet per hour.
Therefore, a delivery truck, Mr. Jones drives 290400 feet per hour.
The height of the tree is 60 meters.
Explanation:
Let the height of the tree be x. The tree casts a shadow of 
meters and the distance from the top of the tree to the end of the shadow is 
meters.
The sides of the triangle are attached in the image below:
Using pythagoras theorem,
Expanding, we get,
Solving the equation using the quadratic formula 
, we get,
Simplifying, we have,
Thus,
and 
where the value 
is not possible because substituting the value in results in negative solution. Which is not possible.
Hence, the value of x is 60.
Thus, The height of the tree is 60 meters.
