Answer:
Angle D and Angle B
<em> </em><u><em>OR</em></u>
Angle A and Angle C
Step-by-step explanation:
These 2 angles are vertical angles (meaning they are congruent to one another) because they are directly opposite from each other.
Answer:
Step-by-step explanation:
The functions are given f and g using coordinates.
Whenever we will ask for f(a), we look for "a" in the x coordinate of the function f and find the corresponding value. THAT IS THE ANSWER.
If we ask for g(b), we look for "b" in the x coordinate of the function g and find the corresponding value. THAT IS THE ANSWER.
So,
For a convex polygon with n sides, the sum of interior angles is (n-2)·180°. Thus, the sum of interior angles of a pentagon is (5-2)·180° = 540°.
... x° + 131° + 108° + 107° + 110° = 540°
... x° = 84° . . . . . . subtract 456° from both sides.
The value of x is 84.
9514 1404 393
Answer:
$562,500 per hour
Step-by-step explanation:
The cost will be a minimum where C'(x) = 0.
C'(x) = 0.56x -0.7 = 0
x = 0.7/0.56 = 1.25
The cost at that production point is ...
C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625
The minimum production cost is $562,500 per hour for production of 1250 items per hour.
_____
<em>Additional comment</em>
This is different than the minimum cost <em>per item</em>. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.
Answer:
Volume of the pyramid is 448 cubic meters.
Step-by-step explanation:
Volume of the given pyramid =
Area of the rectangular base = Length × Width
= 12 × 16
= 192 m²
Volume of the pyramid =
= 448 m³
Therefore, the volume is 448 cubic meters.