Answer:
<h2>The right answer is 415.4 cubic feet.</h2>
Step-by-step explanation:
As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.
We need to find the volum of each part separately.
<h3> Square prism.</h3>
<h3>Square pyramid.</h3>
First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.
Let's use Pythagorean's Theorem to find the height of the pyramid.
The height is 4.3 feet, approximately.
Now, we find the volume of the pyramid
The sum of both figures represents the total volume of the composite figure
Therefore, the right answer is 415.4 cubic feet.
Answer:
x = 62
Step-by-step explanation:
62 and x are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
Answer:
Step-by-step explanation:
Hello There!
Remember: sum of interior angles of a triangle = 180
so to find x we use this equation
180 = 90 + 7x + 5 + 9x + 5 ( the little square in the triangle indicates that the angle is a right angle. right angles have a measure of 90 so that's where the 90 came from.)
now we solve for x
step 1 combine like terms
90 + 5 + 5 = 100
7x + 9x = 16x
now we have 180 = 16x + 100
step 2 subtract 100 from each side
180 - 100 = 80
100 - 100 cancels out
now we have 80 = 16x
step 3 divide each side by 16
80/16 = 5
16x/16=x
we're left with x = 5
Finally we plug in 5 into x for angle a
7(5)+5
7*5=35
35+5=40
so we can conclude that the measure of angle A is 40 degrees
Answer:
Years living in the U.S.
How many adults are registered to vote in the upcoming election?
Number of adults over 18
Number of minors in the household
Number of family members residing at the address
Zip code
Step-by-step explanation:
Given the following :
Select the variables which are quantitative :
Quantitative variables may be explained as those variables which are represented numerically or possess numerical attributes. The are usually expressed in numbers. Quantitative variables in the options below are those which will take Numeric inputs.
Years living in the U.S. = quantitative
How many adults are registered to vote in the upcoming election? = quantitative
Number of adults over 18. = quantitative
Number of minors in the household = quantitative
Family role of respondent = not quantitative
Number of family members residing at the address = quantitative
Ethnicity = Not quantitative
Zip code = quantitative
Answer:
12
Step-by-step explanation:
∛1728 = ∛2*2*2*2*2*2*3*3*3*3 = 2*2*3 = 12
