Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...

A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²

The area of the rectangle is the product of its length and width.

A = LW = (9 mm)(6 mm) = 54 mm²

So, the total base area is ...

31.809 mm² +54 mm² = 85.809 mm²

<h3>prism volume</h3>

The prism volume is this area multiplied by the length of the figure:

V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³

The volume of the figure is about 944 mm³.

8 0

1 year ago

On the graph of f(x)=cos x and the interval [0,2π), for what value of x does f(x) achieve a minimum?

Mariulka [41]

Answer:

$cos(\pi)=-1$

Step-by-step explanation:

$f(x)=cos (x)$

State that the values where cos x is minimum:

$x=\pi +2\pi n, n\in \mathbb{Z}$

$cos(0)=1\\$

$cos\left(\frac{\pi}{4} \right)=\frac{\sqrt{2} }{2}$

$cos\left(\frac{\pi}{2} \right)=0$

$cos(\pi)=-1$

$cos\left(\frac{3\pi}{2} \right)=0$

7 0

2 years ago