Answer: You can use any one altitude-base pair to find the area of the triangle, via formula A = (1/2) bh. In each of those diagrams, the triangle ABC is the same. The green line is the altitude, the height, and the side with the red perpendicular square on it is the base. All three sides of the triangle get a turn.
Step-by-step explanation:
10 I think because 5 pieces times 2 minutes
Answer:
x = (1 ±√97)/4 ≈ {-2.21221, 2.71221}
Step-by-step explanation:
Multiply the equation by 12x to clear fractions.
12 = 2x^2 -x
6 = x^2 -1/2x . . . . . . divide by 2
6 +1/16 = x^2 -1/2x +1/16 = (x -1/4)^2 . . . . . add 1/16 to complete the square
±√(97/16) +1/4 = x . . . . . . square root and add 1/4
x = (1 ±√97)/4
x ≈ -2.21221, 2.71221
Answer:
Step-by-step explanation:
Part A
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
1) radius = diameter/2 = 4/2 = 2 inches
Volume = 3.14 × 2² × 10 = 125.6 inches³
2) Volume = 3.14 × 20² × 50 = 62800 cm³
3) radius = 16/2 = 8 mm
Volume = 3.14 × 8² × 10 = 2009.6 mm³
4) Volume = 3.14 × 9² × 9 = 2289.06 ft³
Part B
The formula for determining the volume of a sphere is expressed as
Volume = 4/3πr³
Where
r represents the radius of the sphere.
5) Volume = 4/3 × 3.14 × 5³ = 523.3 cm³
6) radius = 24/2 = 12 inches
Volume = 4/3 × 3.14 × 12³ = 7234.56 inches³
7) Volume = 4/3 × 3.14 × 1³ = 4.2 ft³
8) radius = 42/2 = 21 mm
Volume = 4/3 × 3.14 × 21³ = 38772.72 mm³
Answer:
X=20 and angles are adjacent
Step-by-step explanation:
7 (20)+(20+20)=180°