Answer: 81 ft^2
Hello! The surface area of the rectangular prism will follow this process:
Right triangle area: (1/2)bh
So that 6ft (4.5ft) = 27ft^2/2; though when one multiplies that by 2 (as there are two right triangles), we get a surface area of 27ft^2.
For the rectangle's area, it's slightly more deviated since each face is different in length: bh
Face 1 = 3ft(7.5ft) = 22.5ft^2
Face 2 = 3ft(6ft) = 18ft^2
Face 3 = 4.5ft(3ft) = 13.5 ft^2
Thus, if we add these all together (27ft^2. + 22.5ft^2 + 18ft^2 + 13.5 ft^2), we get 81 ft^2
Answer:
hope this helps :)
Step-by-step explanation:
y=−
x−9
Answer:
Step-by-step explanation:
We know the rhombus has perpendicular diagonals and the diagonals bisect each other.
The diagonals are AD and BC.
- <em>Note. The points C and D should have swapped coordinates. This becomes ABDC.</em>
<u>The midpoint of BC is:</u>
- ([3 + 2]/2,[4 + 1]/2) = (2.5, 2.5)
<u>Use A(x, y) and midpoint formula for the other diagonal AD:</u>
- (x + 4)/2 = 2.5 ⇒ x + 4 = 5 ⇒ x = 1
- (y + 2)/2 = 2.5 ⇒ y + 2 = 5 ⇒ y = 3
Point A has coordinates (1, 3)
Correct choice is B
See the picture
Answer:
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Answer:
x= 7
y=9
z=90
Step-by-step explanation:
8x = (9x-7)
8x = 9x-7
8x - 9x= -7
-x= -7
<em>(multiply -1 to each side to make it positive)</em>
x= 7
(5y-11)+(9x-7)=90
5y-11+9(7)-7=90
5y-11+63-7=90
5y+63-18=90
5y+45=90
5y=90-45
5y=45
y=45÷5
y=9
(5y-11)+8x+z=180
5y-11+8x+z=180
5(9)-11+8(7)+z=180
45-11+56+z=180
34+56+z=180
90+z=180
z=180-90
z=90