Answer:

Step-by-step explanation:
To solve this problem you must know the formula of subtraction of angles for the function cosx.
The formula is:

We can write 30° as: 45° - 15°
Then:

Using the formula for subtraction of angles we have:

Notice that we have achieved the expression shown in the statement
Finally:

You get vertical asymptotes because the x-value causes you to try to divide by 0.
If you look at the denominator, the x-values of 0, 1, and -5 all will make the denominator equal to 0, making the whole function explode.
You find these by solving 3x(x-1)(x+5)=0.
That's your answer: 0, 1, and -5
Answer:
722.57cm²
Step-by-step explanation:
Below, we have listed six basic equations that can be used to derive the explicit formulas of radius of a cylinder:
Volume of a cylinder: V = π * r² * h ,
Base surface area of a cylinder: A_b = 2 * π * r² ,
Lateral surface area of a cylinder: A_l = 2 * π * r * h ,
Total surface area of a cylinder: A = A_b + A_l ,
Surface Area of Cylinders. To find the surface area of a cylinder add the surface area of each end plus the surface area of the side. Each end is a circle so the surface area of each end is π * r2, where r is the radius of the end. There are two ends so their combinded surface area is 2 π * r2.
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h . ... Therefore, the volume of the cylinder is about 3016 cubic centimeters.
<u>You Can Use Some Of These Points</u>
<span>323° in radians
= 323 x pi / 180
= 5.6
answer is
</span><span>B. 5.6</span>
Answer: The y-intercept is (0, -12)
Step-by-step explanation:
y = 40x - 12
y = 40(0) - 12
y = -12