3.4x - 7.2 = 5.8x + 24
3.4 - 5.8x = 24 + 7.2
-2.4x = 31.2
-2.4x / -2.4 = 31.2 / -2.4
x = -13
Answer:
39.6 cm²
Step-by-step explanation:
The formula for the area of a trapezoid is given as:
Area of a Trapezoid = 1/2(a + b) h
Where, from the question:
a = 8.9 cm
b = 5.5 cm
h = 5.5cm
Hence,
1/2 (8.9cm + 5.5cm) × 5.5cm
= 1/2 × 14.4 cm × 5.5 cm
= 39.6 cm²
Area of the Trapezoid = 39.6 cm²
Answer:
The correct answer is C) 4.6
Step-by-step explanation:
To find this, use the trigonometry functions. In this case, since we have the hypotenuse and are looking for the opposite, we use Sin.
Sin(α) = OPP/HYP
Sin(50) = x/6
6Sin(50) = x
4.6 = x
To find the intercept of a variable in a equation with more than one variable, you need to equal the others variables to zero.
-> 4x -6y -5z = 60
-> X-Intercept:
To find the X intercept, equal the Y and Z values to 0.
(Y = 0; Z = 0)
4x -6(0) -5(0) = 60
4x = 60
x = 60/4
x = 15
-> Y-Intercept:
To the Y intercept it's the same thing, equal the another variable values to 0.
(X = 0; Z = 0)
4(0) -6y -5(0) = 60
-6y = 60
-y = 60/6
-y = 10 x(-1)
y = -10
-> Z-Intercept:
(X = 0; Y = 0)
4(0) -6(0) -5z = 60
-5z =60
-z = 60/5
-z = 12 x(-1)
z = -12
Answer: The intercepts for this equation (15,-10,-12).
Or: x = 15, y = -10, z = -12.
Answer:
Minimum dimensions are r=3cm, h=9cm
Minimum Cost=$254.47
Step-by-step explanation:
Volume of a Cylinder=πr²h
Volume of the Open Top Cylinder=81π cm³.
Therefore:
πr²h=81π
The bottom costs $3 per cm² and the side costs $1 per cm².
Total Surface Area of the open top Cylinder= πr²+2πrh
Cost, C=3πr²+2πrh
As the Volume is fixed.
πr²h=81π
r²h=81
h=81/r²
Modifying C,
We differentiate C with respect to r
C'=
At the minimum cost, C'=0.
Next we solve C'=0 for r
6πr³-162π=0
6πr³=162π
r³=27
r=3
The dimensions of the cylinder at minimum cost are therefore:
r=3 cm
h=81/9=9cm
The minimum cost of the Cylinder
C=3πr²+2πrh
=(3XπX3²)+(2XπX3X9)
=$254.47
