We will be using the cosine function to figure this out.
The ramp, ground, and platform form a right triangle.
The hypotenuse is 29, and the side adjacent to ∠x is 20.
SO:
Cos ∠x = 20/29
Cos ∠x = 0.68965517241379
Use the function on your calculator to find what angle has a Cos of 0.6896551
Cos 0.6896551 = 46.397°
ANSWER: the angle of elevation is 46.4°
Hope this helps! God bless. :)
Answer:
a relationship or expression involving one or more variables
Answer:
418.00 cm³
Step-by-step explanation:
The volume of a cylinder is given by πr²h (r being the radius and h being the height)
The radius is half of the diameter: 6.4/2 is 3.2.
The height shown here is 13.
Instead of pi, the question says to use 3.14 instead of pi.
Putting these all together, you get 3.14×(3.2)²×13.
This can be expanded to 3.14×10.24×13.
From there, multiplying it all together gives you 417.9968 cm³.
The problem says to the nearest hundredth, so you want to round it to 2 decimal places. Since the 6 is above 5, it gets rounded up, leaving you with 418.00 cm³.
Answer: <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>
Step-by-step explanation:
The equation
can be solved by squaring both sides:

We can see that -1 and 7 are solutions, but make sure they are not extraneous by substituting them in the original equation:

The square root of 49 equals 7, but the square root of -1 is an imaginary number.
The correct choice is <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>
Answer:
D
Step-by-step explanation: