Answer
A) 2160 cubic inches
Step by step explanation
Volume of a rectangular prism = length *width*height.
The give figure (stairway) consists of two rectangular prism.
The volume of the first rectangular prism (bigger one) = 12 *10*12
=120*12
1 st prism = 1440 cubic inches
The volume of the rectangular prism 2 (smaller one) = 12*10*6
=120*6
The volume of the rectangular prism 2 = 720 cubic inches
The volume of the concrete stairway = Volume of the prism 1 + Volume of the prism 2
= 1440 + 720
The volume of the concrete stairway = 2160 cubic inches.
Thank you.
Answer:
X = 75
Step-by-step explanation:
here, DY || FS ,
SO, Angle DFS = Angle JDY
( Corresponding angle pair )
Angle JSF = Angle JYD
( Corresponding angle pair )
Hence, triangle JDY ~ JFS ( By AA CRITERIA )
Now, JY / YS = JD / DF
=》42 / 63 = 50 / X
=》X = 50/42 × 63
=》X = 75
i hope you got it
The way I like to solve proportions is by cross multiplying and dividing. First yo multiply the diagonals and then you divide by the other number. So if your proportion is 7/5 = x/3, your equation would be 7*3/5. So 7*3 is 21, so your equation is now 21/5. With some long division, you'll see that 21/5 = 4.2 That's your answer, feel free to ask more questions if you need!!(:
This is the sum of cubes which factors to:
(x+2)(x^2-2x+4)
