Answer:
Step-by-step explanation:
A line has a positive slope if it is slanting upward, toward the right. A line has a negative slope if it is slanting upward, toward the left.
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Answer:
1/2
Step-by-step explanation:
This 12-sided die has 6 surfaces (sides) numbered less than 7. Thus,
P(rolling a number less than 7) = 6/12 = 1/2
Answer: Pick anyone that suits you
- 8 is subtracted from 3 times a number
- Thrice a number minus 8
Step-by-step explanation:
I assume a, b, and c are the measures of the angles A, B, and C themselves. (If you meant lengths of the sides opposite these angles, this would be impossible.)
The interior angles to any triangle sum to 180° in measure, so
A + B + C = 180°
Now,
• A is twice the size of B, so A = 2B or B = A/2
• C measures 20° less than A, so C = A - 20°
Substitute these into the first equation and solve for A :
A + A/2 + (A - 20°) = 180°
5/2 A - 20° = 180°
5/2 A = 200°
A = 80°
Solve for B and C :
B = 80°/2
B = 40°
C = 80° - 20°
C = 60°
Answer:
The volume of the sphere is 32 π /3 cm^3
Step-by-step explanation:
Mathematically, the volume of a sphere can be calculated using the formula below;
V = 4/3 * pi * r^3
Now since we have the radius and diameter = 2 * radius
radius = diameter/2 = 4/2 = 2
Substituting this value into the volume equation;
V = 4/3 * pi * 2^3 = 32pi/3