Answer:
4.013 units
Step-by-step explanation:
We know that the volume of a cone is given by the following equation:
v = pi / 3 * r ^ 2 * h
we need to know the height, therefore we solve for h:
h = 3 * v / (pi * r ^ 2)
replacing v = 105 and r = 5
h = 3 * 105 / (3.14 * 5 ^ 2)
h = 4.013
Which means that the height measures 4.013 units
Answer:
Step-by-step explanation:
<u>Options:</u>
A. m∠C + m∠E = m∠A
- Correct. Exterior angle equals to sum of non-adjacent interior angles.
B. m∠D + m∠F = m∠B
- Incorrect. Exterior angles have greater value.
C. m∠B + m∠C + m∠E = 180°
- Correct. Interior angles of a triangle sum to 180°
D. m∠B + m∠C + m∠D = 180°
- Incorrect. Angles C and D sum to 180°
E. m∠A + m∠ B = m∠E + m∠F
- Correct. Both sides of equation refer to straight angle.
F
. m∠B + m∠C + m∠ E = m∠A + m∠D + m∠F
- Incorrect. Some of interior angles is not equal to sum of exterior angles.
Answer:
45
Step-by-step explanation:
These work problems are always done in terms of fractions ie if both (Kevin & Eric) took 30mins to mow and Kevin took 1.5hrs (90mins) alone then we can make an equation like below
1/time took for both = 1/time took for Kevin + 1/time took for Eric
1/30 = 1/90+1/x ==> calling time took for Kevin x
solving the above 1/x = 1/30-1/90
1/x=2/90
x=45
5 lbs of apples x pounds of apples---------------------- = ----------------------------2 cups of sugar 4/3 cup of sugar Solve for x.
