9514 1404 393
Answer:
510 cm³
Step-by-step explanation:
The overall height of the front face is 9+2 = 11 cm.
The overall width of the front face is 6+4 = 10 cm.
Out of that 11 cm by 10 cm rectangle, a cutout is made in the upper right corner. The area of that cutout (in the plane of the front face) is 2 cm high by 4 cm wide.
Then the area of the front face is ...
(11 cm)(10 cm) -(2 cm)(4 cm) = 110 cm² -8 cm² = 102 cm²
The volume of the prism can be found using the formula ...
V = Bh
where B is the area of the "base" of the prism, and h is its height. Here, the "base" is the front face, and the height is the dimension marked 5 cm. The volume is ...
V = (102 cm²)(5 cm) = 510 cm³
The volume of the prism is 510 cm³.
Answer:
These are the answers...
Step-by-step explanation:
6 is a solution.
10 is not a solution.
-5 is a solution.
9 is a solution.
12.5 is not a solution.
0 is a solution.
The correct answer for the given statement above would be FALSE. If two points of a ray lie in a plane, then not all of the ray lies in the plane because i<span>f two points of a ray lie in a plane, that does not imply that the ray lies in the plane. If A then B, B does not necessarily imply A. This makes the statement incorrect. </span>
Answer:
a) 12cm
b) 360cm²
c) 2160cm cubed
Step-by-step explanation:
a)
you would use Pythagoras theorem for A
so half of 18 is 9
15² - 9² = 144
the square root of 144 is 12
the height is 12cm
b)
18 x 20 = 360cm²
c)
csa x L
csa = b x h divide by 2
18 x 12 = 216cm²/2 = 108cm²
108xm² x 20cm = 2160cm cubed
Answer:
y= -2x +11
Step-by-step explanation:
the 2 points: (-2,15) and (1,9)
find the slope: 6/ -3 = -2
find y-intercept: 9 = -2 + b b=11