To answer this, it must be noted that the trigonometric functions sine and cosine will have the same values if the angles are complementary (meaning, their sum is 90°).
90 = (x + 22) + (2x - 7)
The value of x from the equation is 25.
Answer:
Please see attached image for the sketch with the labels.
Length "x" of the ramp = 11.70 ft
Step-by-step explanation:
Notice that the geometry to represent the ramp is a right angle triangle, for which we know one of its acute angles (
), and the size of the side opposite to it (4 ft). Our unknown is the hypotenuse "x" of this right angle triangle, which is the actual ramp length we need to find.
For this, we use the the "sin" function of an angle in the triangle, which is defined as the quotient between the side opposite to the angle, divided by the hypotenuse, and then solve for the unknown "x" in the equation:

Therefore the length of the ramp rounded to the nearest hundredth as requested is: 11.70 ft
$15 + $32.50 + 8% = $51.30
15 + 32.50 = 47.50
8% × 47.50 = 3.80
47.50 + 3.80 = 51.30
Answer:
The volume of a cylinder:

Step-by-step explanation:
To find the volume of a cylinder, you need the this formula:

-Use the given height and radius for the formula:

-Then, solve the formula:




So, the volume of a cylinder is approximately
.
When two quantities have a relationship, there is a corresponding equation that could describe it. These two quantities may be expressed in variables of x and y. When you plot the graph, you may see a line or a curve. This presents the trend of the relationship of the two quantities when the independent variable changes.