Answer:
36 cubic centimeters
Step-by-step explanation:
In this question, we are tasked with calculating the volume of the rectangular prism.
mathematically, that can be obtained by using the formula for the volume of the rectangular prism.
V = Base area * height
from the question, we have the base area as 12 square centimeters and the height as 3 centimeters.
Plugging these values into the equation, the value of the volume is thus 12 * 3 = 36 cubic centimeters
The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.
<u>Step-by-step explanation</u>:
ABCD is a quadrilateral with their opposite sides are congruent (equal).
The both pairs of opposite sides are given as AB = 3 + x
, DC = 4x
, AD = y + 1
, BC = 2y.
- AB and DC are opposite sides and have same measure of length.
- AD and BC are opposite sides and have same measure of length.
<u>To find the length of AB and DC :</u>
AB = DC
3 + x = 4x
Keep x terms on one side and constant on other side.
3 = 4x - x
3 = 3x
x = 1
Substiute x=1 in AB and DC,
AB = 3+1 = 4
DC = 4(1) = 4
<u>To find the length of AD and BC :</u>
AD = BC
y + 1 = 2y
Keep y terms on one side and constant on other side.
2y-y = 1
y = 1
Substiute y=1 in AD and BC,
AD = 1+1 = 2
BC = 2(1) = 2
Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.
Well there is many ways you can write 8 as fraction. Most common is 8/1 because 1/1 is 1 8/1 is 8. Some people can write 8 as fraction like 72/9 or 24/3.
I hope this helped!!!:)
Answer:
Step-by-step explanation:
surface area of one can 2πrh+2πr²
=2πr(h+r)
≈2×3.14×3/2(4.25+1.5)
≈9.42(5.75)
≈54.165 in²
number of cans=1000/54.165
=18 cans
material used=18×54.165≈975 in²
material left=1000-975=25 in²
Answer:
y=-2x+2
Step-by-step explanation:
The y-intercept is 2 and the growth is -2.