Answer:
Step-by-step explanation:
BD is opposite the 30° angle. The sine of 30° is 0.5. The sin of an angle in a right triangle is opposite/hypotenuse so BD = sin 30°x8.
Now you have two known lengths The third can be found by applying the Pythagorean theorem: BC²+BD²=CD², from which you can establish a numerical value for BC.
Answer: 
<u>Step-by-step explanation:</u>
(4, 1) & (2, -5)
First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

Next, find the midpoint of (4, 1) and (2, -5):

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

If you would like to find the width of the frame in feet, you can do this using the following steps:
length * width = area
3 1/8 feet * width = 2 3/4 square feet
25/8 feet * width = 11/4 square feet
25/8 * width = 11/4
width = 11/4 / 25/8
width = 11/4 * 8/25
width = 22/25 = 0.88 feet
The correct result would be 22/25 feet.
Answer:
A: The interquartile range is 8.
Step-by-step explanation:
Hopefully this helps!
Answer: <em>Multiplying these factors gives the approximate volume of the original body</em>
Step-by-step explanation:
<em>The given convex body can be approximated by a sequence of nested bodies, eventually reaching one of known volume (a hypersphere), with this approach used to estimate the factor by which the volume changes at each step of this sequence.</em>