Answer:
Answer is
Step-by-step explanation:
The answer 1 Its 35 Answer 2 14
Answer:
The coordinates of the endpoints of the side congruent to side EF is:
E'(-8,-4) and F'(-5,-7).
Step-by-step explanation:
<em>" when point M (h, k) is rotated about the origin O through 90° in anticlockwise direction or we can say counter clockwise. The new position of point </em><em>M (h, k) will become M' (-k, h) "</em>
We are given a trapezoid such that the vertices of trapezoid are:
E(-4,8) , F(-7,5) , G(-4,3) , H(-2,5)
Then the new coordinates after the given transformation is:
E(-4,8) → E'(-8,-4)
F(-7,5) → F'(-5,-7)
G(-4,3) → G'(-3,-4)
H(-2,5) → H'(-5,-2)
Hence the coordinates of the endpoints of the side congruent to side EF is:
E'(-8,-4) and F'(-5,-7).
x-0.1x=36
where x is the original price
0.1x is the discount (10% of the original price)
36 is the price paid
x-0.1x=36
0.9x=36
----- ----
0.9 0.9
x=40
The original price is $40.00
In the case above, the correct vectors are:
- <25.98, -15>.
- <1.71, 4.7>.
<h3>What is the ship vector about?</h3>
The solution for the Ship's vector are:
Note that the Horizontal aspect = 30 cos 30
= 25.98.
For the Vertical aspect = 30 sin(-30)
= -15.
Hence it will be <25.98, -15>.
In regards to the current's vector:
The Horizontal aspect= 5 sin 20
= 1.71.
The Vertical aspect = 5 cos 20
= 4.7.
Hence it will be <1.71, 4.7>.
Therefore, In the case above, the correct vectors are:
- <25.98, -15>.
- <1.71, 4.7>.
Learn more about vectors from
brainly.com/question/23973576
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The profit:
P = - 0.5 x² + 80 x + 190
The maximum profit will be at the vertex :
x = - b / 2 a = - 80 : ( 2 * ( - 0.5 )) = - 80 : ( - 1 ) = 80 ( in hundreds of dollars )
Answer:
The amount of money that will yield a maximum profit is $8,000.
