Answer:
Option D, the volume is 15.625 cubes
Step-by-step explanation:
For a cube of side length L, the volume is:
V = L^3
for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:
v = (1in)^3 = 1 in^3
Then:
1 in^3 is equivalent to one small cube
Here we know that the side length of our cube is (2 + 1/2) in
Then the volume of this cube will be:
V = [ (2 + 1/2) in]^3
To simplify the calculation, we can write:
2 + 1/2 = 4/2 + 1/2 = 5/2
Then:
V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3
This means that 15.625 small cubes will fill the prism.
So the correct option is D.
Answer:
12i
Step-by-step explanation:
be careful with your screenshots and make sure it doesnt show your name
The measure of angle bcd of the polygon abcd is 40°.
Hence, option b) 40° is the correct answer.
<h3>
What is a polygon?</h3>
A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.
The sum of the exterior angles of a regular polygon will always equal 360
Given that;
- Exterior angle a = 25 degrees
- Exterior angle b = 146 degrees
- Exterior angle d = 149 degrees
25° + 146° + 149° + c = 360°
320° + c = 360°
c = 360° - 320°
c = 40°
The measure of angle bcd of the polygon abcd is 40°.
Hence, option b) 40° is the correct answer.
Learn more about polygons here: brainly.com/question/22408868
#SPJ4
Answer:
D (0, 2)
General Formulas and Concepts:
<u>Algebra I</u>
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
y = 3/4x + 2
<u>Step 2: Break Function</u>
<em>Identify Parts</em>
Slope <em>m</em> = 3/4
y-intercept <em>b</em> = 2
Answer:
Step-by-step explanation:
If the radius, r, is given, then the area of the circle is A = πr².
If the diameter, d, is given, then the circle area is A = π(d/2)², or A = πd² / 4.
