Answer:
The volume of the cylinder is 163.3 m³.
Step-by-step explanation:
Given that,
Height = 13 cm
Base = 4 cm
So, radius = 2 cm
We need to calculate the volume of the cylinder
Using formula of cylinder

Where, r = radius
h = height
Put the value into the formula


Hence, The volume of the cylinder is 163.3 cm³.
<span>Is the following definition of perpendicular reversible? If
yes, write it as a true biconditional.</span>
Two lines that intersect at right angles are perpendicular.
<span>A. The statement is not reversible. </span>
<span>B. Yes; if two lines intersect at right
angles, then they are perpendicular.
</span>
<span>C. Yes; if two lines are perpendicular, then they intersect at
right angles. </span>
<span>D. Yes; two lines
intersect at right angles if (and only if) they are perpendicular.</span>
Your Answer would be (D)
<span>Yes; two lines
intersect at right angles if (and only if) they are perpendicular.
</span><span>REF: 2-3 Biconditionals and Definitions</span>
Answer: The ramp would be 15.5 feet long.
Step-by-step explanation: Please refer to the attached diagram for details.
Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.
SinC = opposite/hypotenuse
Sin 15 = 4/b
By cross multiplication we now have
b = 4/Sin15
b = 4/0.2588
b = 15.4599
Approximately b = 15.5
Therefore the length of the ramp would be 15.5 feet
Use the formula i = p*r*t.
Here, p = $100000, r = 0.05 and t = 1 (year)
The interest would be i = $100000*0.05*1 = $5000 per year.