Answer:
Step-by-step explanation:
The formula for determining the the volume of a rectangular base pyramid is expressed as
Volume = 1/3 × base area × height
From the information given,
Length of base = 9 cm
Width of base = 4.6 cm
Area of base = 9 × 4.6 = 41.4 cm²
Volume of pyramid = 82.8cm³
Therefore
82.8 = 1/3 × 41.4 × height
82.8 = 13.8 × height
Dividing both sides of the equation by 13.8, it becomes
height = 82/13.8
Height = 5.94 8 cm
Answer:
Area = x4 + 4x3 + 3x2 - 4x - 4
Length = x3 +5x2 + 8x + 4
Width = Area / Length.
Performing long division with polynomial.
x4 + 4x3 + 3x2 - 4x - 4 / x3 + 5x2 + 8x + 4 = x-1
Width = x-1
Step-by-step explanation:
A triangle ABC is similar to a triangle A´B´C´ The scale factor of the dilatation : s.
0 * s =0
4 * s = 10
6 * s = 15
s= 10/4=15/6=2.5
The scale factor of the dilatation is 2.5. It is shown in the attachment.
In this case it's, <span>log(u)^n = nlog(u)
so the answers are either </span><span>4 log (3x) or it could also be </span><span>4[log3 + log x]
</span>There is no need for the solution to be shown because this is a simple rule of properties of logarithms
Sure. The function is a parabola. Because the coefficient of the x^2 term is positive, it opens upward. that means that it vertex is a minimum point.
You can verify that the vertex is (0,24). That means that at the point x=0, the height of the bridge is 24m. So if the level water rises below 24 m, the bridge is safe to use.