Answer:
the volume is 1176 cm^3
Step-by-step explanation:
you can divide the bricks into two shapes, find their volumes and add them back together:
1st brick shape: 21 * 6 * 6 = 756 cm^3
2nd brick shape: 10 * 7 * 6 = 420 cm^3
now add them and you get 1176 cm^3 per identical brick as their volume, you just have to multiply the height, length and width that you know makes up a simpler shape
<em>pls brainliest if you found it useful</em>
A rectangle is a 4-sided flat shape with straight lines where all interior angles are rights angles (90°)
Answer:
Option d.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
79 percent of adults age 18 years and older in the United States use the Internet.
This means that 
98% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Which of the following should be used to find the sample size (n) needed?
We have to find n for which 
So the equation is:
Option d.
Answer:
5.79 feet
Step-by-step explanation:
Let us represent
First piece = x
Second piece = y
Third piece = z
Sac had a rope that was 15 feet long.
x + y + z = 15
He cut it into three pieces.
The first piece was 3.57 feet longer than the second piece.
x = 3.57 + y
The third piece was 2.97 feet longer than the second piece.
z = 2.97 + y
How long was the third piece of rope?
x + y + z = 15
3.57 + y + y + 2.97 + y = 15
3y + 6.54 = 15
3y = 15 - 6.54
3y = 8.46
y = 8.46/3
y = 2.82 feet
Therefore, the length of the third piece z = 2.97 + y
z = 2.82 + 2.97
z = 5.79 feet
Answer:
8a^3.
Step-by-step explanation:
(a+b)^3=a^3+b^3+3a^2b+3ab^2
(a-b)^3=a^3-b^3-3a^2b+3ab^2
(a+b)^3+(a-b)^3=2a^3+6ab^2
According to the question
(a+b)^3+(a-b)^3+6a(a^2-b^2)
Put in the value
=2a^3+6ab^2 +6a^3–6ab^2
=8a^3
