G<br> A<br> E<br> H<br> B<br> F<br> How many line segments are shown?<br> CO

Cos(theta)= -.9041, 180degress< theta <270degress

AVprozaik [17]

Answer:

$\theta=205.298^o$

Step-by-step explanation:

We know

$cos\theta=-.9041$

in the third quadrant $180^o$

We use a scientific calculator to find the inverse cosine of -0.9041 to find

$\theta=154.702^o$

Since this angle is not in the required quadrant we must find the other angle who has the same cosine. The required angle is equidistant from the found value from the 180 degrees angle, so our solution is

$\theta=180^o+(180^o-154.702)=205.298^o$

7 0

3 years ago

The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube? 6 cubic feet 18 cubic

fomenos

The volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.

A cube is a three-dimensional solid object with six square faces, facets, or sides, three of which meet at each vertex.
The cube is one of the five Platonic solids and the only regular hexahedron.
It has six faces, twelve edges, and eight vertices.

To find the volume of the cube that perfectly fits an 18 ft³ pyramid:

We have been provided that:

18 cubic feet is the volume of the pyramid.
Now, in order for this pyramid to fit exactly into a cube, the base of the pyramid must be square, and the height of the pyramid must be equal to the height of the cube.
We can conclude from this that the volume of a cube equals three times the volume of a pyramid.
So, the volume of the cube = 3 × 18
The volume of Cube = 54 ft³

Therefore, the volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.

Know more about a cube here:

brainly.com/question/1972490

#SPJ4

The correct question is given below:

The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube?

(A) 6 cubic feet

(B) 18 cubic feet

(C) 54 cubic feet

(D) 72 cubic feet

6 0

8 months ago