Answer:
192 cubes.
Step-by-step explanation:
The volume of each cube = (side)³ = (1/4)³ = 1/64 units
³
Next is to find how many cubes are needed to fill the prism.
The number of cubes that will fill the prism :
Vol. of prism / Vol. of cube = 3 / 
=192 cubes.
Therefore, it takes 192 cubes to fill the prism.
10.) x+25=30
x=5
11.) 60=3x-12
72=3x
x=72/3
x=24
12.) <1+<2=90
<1+17=90
<1=90-17
m <1=73 degrees
13.) m <3+m <4=180
46+m <4=180
180-46=m<4
134=m<4
Subtract 4 from both sides. Simplify 13-4 to 9. Divide both sides by 3. Simplify 9/3 to 3.
Answer: x < 3
Answer:
The blanks are both 8
Step-by-step explanation:
This is because of the distribution property. Since there is parenthesis, this means that the 8 is being distributed to both the 5 and -2.
Question:
A 33 foot ladder leans against a building so that the angle between the ground and the ladder is 75º. How high does the ladder reach up the side of the building?
Round to 2 decimal places feet.
Answer:

Step-by-step explanation:
The question is illustrated using the attachment as a sketch.
We have that


Required
Determine how high the ladder is to the building
Represent the length of the ladder with L and how high the ladder is on the building with H.
The relationship between L, H and
is"

Substitute values for L and 

Make H the subject



<em>Hence, the height to which the ladder reaches is approximately 31.88ft</em>