Revenue, R = 130x
Profit, P = Revenue – Cost
P = R – C
P = 130x – 2950 + 6x + 0.1x^2
At P = 0
0 = -2950 + 136x +0.1x^2
X = 21.355, -1381.355
Therefore, manufacture greater than 21.355 items to make
profit.
Answer:
m<N = 76°
Step-by-step explanation:
Given:
∆JKL and ∆MNL are isosceles ∆ (isosceles ∆ has 2 equal sides).
m<J = 64° (given)
Required:
m<N
SOLUTION:
m<K = m<J (base angles of an isosceles ∆ are equal)
m<K = 64° (Substitution)
m<K + m<J + m<JLK = 180° (sum of ∆)
64° + 64° + m<JLK = 180° (substitution)
128° + m<JLK = 180°
subtract 128 from each side
m<JLK = 180° - 128°
m<JLK = 52°
In isosceles ∆MNL, m<MLN and <M are base angles of the ∆. Therefore, they are of equal measure.
Thus:
m<MLN = m<JKL (vertical angles are congruent)
m<MLN = 52°
m<M = m<MLN (base angles of isosceles ∆MNL)
m<M = 52° (substitution)
m<N + m<M° + m<MLN = 180° (Sum of ∆)
m<N + 52° + 52° = 180° (Substitution)
m<N + 104° = 180°
subtract 104 from each side
m<N = 180° - 104°
m<N = 76°
The maximum amount of supplies that the storage unit can hold is 28 ft³
<h3>How to calculate the volume of a rectangular prism?</h3>
For us to calculate the volume or amount of space in Evan's prism, we will first of all calculate the volume of rectangular prisms. Formula is;
V = Length × width × height.
We are given;
length = 4 feet
width = 3.5 feet
height of the prism = 2 feet.
Thus;
V = 4 * 3.5 * 2
V = 28 ft³
Thus, the maximum amount of supplies that the storage unit can hold is 28 ft³
Read more about Volume of Rectangular Prism at; brainly.com/question/4062480
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*see attachment showing the two polygons in a grid.
Answer:
No, PQRST is not a scale copy of ABCDE because we the sides are not increased proportionally.
Step-by-step explanation:
A polygon can be said to be a scaled copy of another polygon, if the the same scale factor is used in scaling every segment of the preimage or original image to get the length of the corresponding segments of the scale copy or image. In order words, all segments must be scaled proportionally.
Polygon PQRST, which is the new image, has different scale factors used in scaling the various segments of the preimage. In simple terms, the sides of PQRST were not increased proportionally. Therefore, PQRST is not a scaled copy of ABCDE.
8 is to 64 as 2 is to 16
x=16