D = 5.5p + 25
D: dollars
P: people attending
Answer: 2527 divided by 8 equals
315 with a remainder of 7
Step-by-step explanation:
<span>These triangles are impossible:
a triangle with sides of 3 inches, 4 inches, and 8 inches
(the longest side is greater than the sum of the other 2 sides)
an obtuse equilateral triangle
(all angles in an </span><span>equilateral triangle are acute)
</span>
<span>a triangle with two right angles
The angles of ALL triangles must sum exactly to 180 degrees. Two right angles sum to 180 degrees so the third angle would have to be zero degrees.
</span>
To decrease something at 100% by 7% is:
100% - 7% = 93%
You multiply the original value by 0.93 to decrease it from it's original value by 7%
Answer:
5 inches
Step-by-step explanation:
The formula to find the surface area of a cylinder is A = 2πrh + 2πr²
Since we need the height we will need to solve for h
- First we can subtract 2πr² from both sides to get A - 2πr² = 2πrh
- Then we can divide both sides by 2πr to get
Now we can plug in our known values and solve for h
- Here we were given the diameter, d, however this formula is in terms of the radius, r.
- The diameter is equivalent to double the radius, d = 2r
- Therefore the radius is equivalent to half the diameter,
- Plugging in d to solve for r we get
which simplifies to r = 1
The two variables for this equation we have no obtained, A = 12π and r = 1, so we can plug them into our equation to solve for the height
- The height is 5 inches