Well, first of all, the first statement (ABC = ADC) looks like it just says
that the two halves of the little square ... each side of the diagonal ...
are congruent. That's no big deal, and it's no help in answering the
question.
The effect of the dilation is that all the DIMENSIONS of the square
are doubled ... each side of the square becomes twice as long.
Then, when you multiply (length x width) to get the area, you'd have
Area = (2 x original length) x (2 x original width)
and that's
the same as (2 x 2) x (original length x original width)
= (4) x (original area) .
Here's an easy, useful factoid to memorize:
-- Dilate a line (1 dimension) by 'x' times . . . multiply the length by x¹
-- Dilate a shape (2 dimensions) by 'x' . . . multiply area by x²
-- Dilate a solid (3 dimensions) by 'x' . . . multiply volume by x³
And that's all the dimensions we have in our world.
_______________________________
Oh, BTW . . .
-- Dilate a point (0 dimensions) by 'x' . . . multiply it by x⁰ (1)
Answer:
x=4
Step-by-step explanation:
3x + 6 = 18
3x = 18 - 6 = 12
x = 4
Answer:
the answer is 40/4
Step-by-step explanation: 7 1/4 3/4 40/4
Answer:
(4, –2, 1)
Step-by-step explanation:
You have to put in it the calculate and solve the matrix way
Answer:
716in³
Step-by-step explanation:
The first step is to split the full prism into two, separate prisms. That means, we now have to find the volume of the half-a-cylinder, and the other base prism.
For the volume of the half-cylinder, we use the formula πr²h. That means, we do π·5·5·6, which is equal to around 471.24 cubic inches. However, we need to find the volume of half that cylinder, so we divide that answer by two. That should be about <u><em>235.62 cubic inches.</em></u>
For the volume of the other prism, we simply have to do length <em>times</em> height <em>times </em>width, or 6·8·10. That is equal to <em><u>480 cubic inches</u></em>, which is the volume of that prism.
To find the volume of the whole composite figure, you simple have to add the two underlined volumes above.
235.62+480= 715.62in³, or about <em><u>716in</u></em><em>³.</em>
<u><em>Hope this helps.</em></u>
