Answer:
Step-by-step explanation:
A.
R(x)=px=x(-45 x+1800)=-45 x²+1800 x
B.
C(x)=7000+100 x
C.
P(x)=R(x)-C(x)=-45 x²+1800 x-(7000+100 x)
or P(x)=-45x²+1800 x-100 x-7000
or P(x)=-45 x²+1700 x-7000
Answer:
5/6
Step-by-step explanation:
to add fractions they need to have a common denominator
make 1/3 have a denominator of 18
1/3(6) = 6/18
9/18 + 6/18 = 15/18
15/18 can be simplified to 5/6
Pythagoras theorem - The length of the third side is 6.71unit
What is Pythagoras theorem ?
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a key relationship in Euclidean geometry between a right triangle's three sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
The Pythagoras theorem's equation is as follows:
H² = P² + B²
The triangle's third side will be the following length:
Let x represent the triangle's third side's length.
9² = 6² + x²
81 = 36 + x²
x² = 45
x = 6.708
x = 6.71 units
Hence, the third side of the triangle is 6.71unit
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Answer:
Approximately 57 minutes.
Step-by-step explanation:
5 ÷ 45 = 1/9
1/9 · 8.5 = 17/18
An hour = 60 mins so
60 ÷ 18 = 10/3
10/3 · 17 = 56.6666667
also known as 56.67 minutes if rounded to hundreds, 56.7 minutes if rounded to the tenths, and 57 minutes if rounded to a whole number.
Answer:
The area of the figure is 7.5
.
Step-by-step explanation:
In order to make the calculation process easier, you can cut the shape into a trapezoid and a triangle. The triangle's base has a length of 3 units and a height of 2 units, so its area is 3
. The top base of the trapezoid has a length of 1 unit, the bottom base of the trapezoid has a length of 2 units, and the trapezoid has a height of 3 units, so the area of the trapezoid is 4.5 units. To find the area of the shape, add the areas of the trapezoid and the triangle together, which is 3 + 4 .5 = 7.5