Answer:
<u>∠DFA = 82°</u>
Step-by-step explanation:
According the property of inscribed angles and arcs, the angle is half of the arc length.
Solving :
- ∠CFB = 1/2 x ∡CB
- ∠CFB = 1/2 x 164°
- ∠CFB = 82°
- ∠CFB = ∠DFA (Vertically Opposite Angles)
- <u>∠DFA = 82°</u>
Answer:
5/6 × 3/7 ÷ 2/3 = 45/84
Step-by-step explanation:
5/6 × 3/7 = 15/42
5 × 3 = 15
6 × 7 = 42
15/42 ÷ 2/3
15/42 × 3/2
15 × 3 = 45
42 × 2 = 84
15/42 × 3/2 = 45/84
First you must distribute the minus sign to the number bolded bellow:
(-7 + 3i) - (2 - 6i)
(-7 + 3i) + (-2 + 6i)
-7 + 3i - 2 + 6i
Now you must combine like terms. Imaginary numbers can only combine with imaginary and real number can only be combined with real numbers:
(-7 + (-2) ) + (3i + 6i)
-9 + 9i
I hope this helped! Let me know if you have any questions :)
~ Just a girl in love with Shawn Mendes
Answer:
$7803.72
Step-by-step explanation:
We have been given that a silo is in the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cubic meter. We are asked to find the total cost to fill the silo with soybeans.
First of all, we will find the volume of silo using volume of cone formula.
, where,
r = radius
h = Height
We know that radius is half the diameter, so radius of silo would be
.





Now we will multiply total volume by $414 to find total cost.\



Therefore, it will cost $7803.72 to fill the silo with soybeans.