The volume of the square base pyramid is 588 ft³
The Volume of the rectangular prism is 120 ft³
The Volume of a rectangular pyramid is 360 ft³
<h3>What is volume of a shape?</h3>
Volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.
Volume of a square base pyramid = 1 / 3 × B × h
where
B = base area
Therefore,
Volume of a square base pyramid = 1 / 3 × 7² × 12
Volume of a square base pyramid = 1764 / 3 = 588 ft³
Volume of a rectangular prism = lwh
Volume of a rectangular prism = 6 × 5 × 4 = 120 ft³
Volume of a rectangular pyramid = 1 / 3 lwh
Volume of a rectangular pyramid = 1 / 3 × 10 × 12 × 9 = 1080 / 3 = 360 ft³
learn more on volume here: brainly.com/question/1578538
Answer:
94
Step-by-step explanation:
the general formula for the nth term of this arithmetic sequence is
a(n) = 12 + 2(n-1).
The 42nd term would then be a(42) = 12+ 2(42 - 1) = 12 + 82 = 94
The line below are parallel so they have same slopes
If the green line has a slope of -1/2, the slope of the red line is also - 1/2
Answer
-1/2
Answer:


Step-by-step explanation:
we have a square and a triangle
we want to figure out the area and the perimeter of the pentagon
to figure out the area of the pentagon we can use the given formula:

let's figure out
:
since the given shape is a square Every angle of its 90° Thus the triangle is a right angle triangle
therefore the height is 4

substitute h and b

reduce fraction:

simplify multiplication:

likewise square

substitute s:

simplify square

hence,


to figure out perimeter
let's figure out hypotenuse first



therefore,



Answer:

Step-by-step explanation:
With the given information, we can write the line equation in slope intercept form. 
The slope, m, is -2/5
The Y-intercept, or b, is 100.
Replace m with -2/5 and b with 100.
