Answer:
90 cubes.
Step-by-step explanation:
First we find volume of the cuboid.
Volume = l x b x h = 20 x 18 x 16 = 5760 cm³
Now,
Volume of a single cube = l³ = 4³ = 64
No of cubes that can be cut out from the cuboid is
= Volume of cuboid/ volume of cube
= 5760/ 64
= 90 cubes
Answer:
B. 8
Explanation:
The figure forms a septagon.
The hexagons form the base, and the rectangles attached to them form the sides.
Therefore, in total the solid has two hexagons as sides and 6 rectangles connecting the hexagon to the base hexagon. Hence, in total the solid has
2 + 6 = 8 faces.
Answer:
Step-by-step explanation:
y>2x-4
y<2x-1
y<4x-4
Answer:
x ≠ 3
Step-by-step explanation:
The denominator of ...
f(x) = (x+2)/(x -3)
is zero when x=3, so the function is not defined there. Values of x for which the function is not defined are not part of the domain.
The restriction is: x ≠ 3.
_____
Please note that parentheses are required around numerators and denominators when a rational function is written in plain text. When it is typeset:
the division bar serves as a grouping symbol. In plain text, we cannot tell where numerator and denominator begin and end unless some other grouping symbol (parentheses) is used.
Answer:
<em>(x - 2)^2 + (y + 1)^2 = 26</em>
Step-by-step explanation:
A circle with center O(2, -1) that passes through the point A(3, 4).
=> The radius of this circle is OA which could be calculated by:
OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]
The equation of a circle with center O(a, b) and radius r could be written as:
(x - a)^2 + (y - b)^2 = r^2
=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:
(x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2
<=>(x - 2)^2 + (y + 1)^2 = 26
Hope this helps!
