First, calculate for the volume of the cube before each edges are cut.
V = e³
where e is the length of each sides. Substituting the known value,
V = (4/5 cm)³ = 0.512 cm³
Then, calculate for the volume of each of the small cubes cut out from the corners.
V = (1/5 cm)³ = 0.008 cm³
Since there are 8 of these small cube, we multiply the volume by 8.
8V = 8(0.008 cm³) = 0.064 cm³
Then, subtracting the volumes will give us an answer of <em>0.448 cm³</em>
In geometry, the angle bisector<span> theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite </span>angle<span>. It equates their relative lengths to the relative lengths of the other two sides of the triangle.
so the answer is B</span>
Answer:
262 square feet of the ramp will be painted red.
Step-by-step explanation:
The lateral surface is surface area of the sides of the ramp without including the top and bottom faces
The ramp shown has three surfaces
The 2 sides are triangles with length 20 and height 8.5
The back is a rectangle shape with length 12 and height 8.5
Step 1: Finding the Area of triangle
The area of the triangle = 
The area of the triangle = 
The area of the triangle =
The area of the triangle = 85 square feet
Area of 2 triangles =
= 170
Step 2: Finding the Area of Rectangle
Area of rectangle = 
so,
Area of back rectangle =
= 102 square feet
Step 3: Finding the total lateral surface area
Total Lateral Surface Area
= Area of triangle + Area of Rectangle
= 272 square feet
Looking at the table, we can readily say that the correct
answer to this question is:
<span>
“With
increasing elapsed time, the amount of dissolved chlorine increases.”</span>
<span>
The
amount dissolved always increases with time unless it has already reached the
maximum limit. </span>
Answer:
z = -1.66
Step-by-step explanation:
Z-statistic:

In which X is the found proportion.
p is the mean proportion.
is the standard error for the data.
Out of 593 students who replied to her survey, 64 fit this criterion.
This means that 
She finds that the proportion of binge drinkers nationally is 13.1%.
This means that 
Also

The z statistic for this data is


