Answer:
192 cubes
Step-by-step explanation:
So all we need to do is:
1) Find the area of 1 cube.
2) Divide the large prism volume with this.
SO 1)
the volume of cube = Length * width * height = (1/4)^3 = 1/64
SO 2)
the volume of prism / the volume of cube = 3/(1/64) = 192
Answer: 192 cubes
The equation of the circle shown is:

<h3>What is the equation of a circle?</h3>
The equation of a circle of center
and radius r is given by:

From the graph, it can be seen that the center of the circle is (0,0), thus
and the radius is of r = 10, hence the equation is:

You can learn more about the equation of a circle at brainly.com/question/24307696
9514 1404 393
Answer:
(c) 10 -N = 8 +N
Step-by-step explanation:
The difference between 10 and a number is (10 -N).
The sum of 8 and a number is (8 +N).
In this context, "is" means "equals," so we have ...
10 -N = 8 +N
Linear because there is a constant change (+3)
Answer: the value of | 2x + y | = 1.39
the direction of 2x + y = 21°
Step-by-step explanation:
Given that the vectors x and y are unit vectors that make and angle of 30 degrees with each other.
Let assume that unit vector x is along the positive x-axis, and unit vector y is at +30°.
Therefore
2x-y=
2< 1,0 > - < cos(30),sin(30) >
=<2-(√2)/2, 0-1/2>
and
|2x-y|=√((2-(√2)/2)² + (-1/2)^2)
=1.3862
Therefore the value of | 2x + y | = 1.39
=atan((-1/2)÷(2-(√2)/2))
=atan(1.29289/-0.5)
=-0.369 radians
= -21.143°
Therefore the direction of 2x + y is
21°