Answer:
We can find the volume of a sphere using the volume of a cylinder. Cylinder is a solid which has a circular base. We know the fact that the volume of any solid is equal to the product of base area and height of the solid. So, the volume of a right circular cylinder of base radius ‘r’ and height ‘h’ is given by
Step-by-step explanation:
Answer:
B and D
Step-by-step explanation:
First off, we can rotate it. When rotating, I found that the x and y values switch places in a way.
We would need to rotate it 90 degrees counterclockwise about the origin in order to get it in the same position as triangle BDE. This makes statement B correct.
In order to make triangle ABC smaller, the dilation would have to be smaller than one. Counting the right side's length, ABC has 6 squares and BDE has 3.
This would mean 6 * 1/2 = 3, meaning statement D is true.
Answer:
It is ASA congruence rule as the 2 angles and the included side of the triangle are equal
Answer:
The answer is below
Step-by-step explanation:
12 inches = 1 ft.
6 inches = 6 inches * (1 ft./12 inches) = 0.5 ft.
Therefore the diameter of the cast iron (D) = 6 inches = 0.5 ft.
The area of cast iron (A) = πD²/4 = π(0.5)²/4 = 0.196 ft²
The velocity (V) = 6 ft./s, the acceleration due to gravity (g) = 32.2 ft./s²
ε/D = 0.0004 ft./ 0.5 ft. = 0.0008
Using the moody chart, find the line ε/D = 0.0008 and determine the point of intersection with the vertical line R = 2.7 * 10⁵. Hence we get f = 0.02.
The head loss (h) is:
The pressure drop (Δp) is:
Δp = ρg
= 
Answer:
a° = 58°
b° = 48°
c = 74°
d° = 122°
Step-by-step explanation:
<em>Angles on a straight line add up to 180°</em>
58° + d° = 180°
d° = 180° - 58° = 122°
<em>Alternate angles are equal.</em>
a° = 58°
<em>Angles in a triangle add up to 180°.</em>
48° + 58° + c° = 180°
106° + c° = 180°
c° = 180° - 106° = 74°
<em>Angles on a straight line add up to 180°</em>
74° + 58° + b° = 180°
132° + b° = 180°
b° = 180° - 132° = 48°
