81 cent.........................................................
Answer:
x = 30, x = 5 and x = 9
Step-by-step explanation:
The diagonals of a square are perpendicular bisectors of each other, so
∠ AEB = 90° , then
3x = 90 ( divide both sides by 3 )
x = 30
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(9)
The 4 angles of a square are right and the diagonals bisect the angles, then
∠ BAC = 45° , so
9x = 45 ( divide both sides by 9 )
x = 5
-------------------------------------------------------
(10)
All sides are congruent , so
CD = AB , that is
3x - 5 = 2x + 4 ( subtract 2x from both sides )
x - 5 = 4 ( add 5 to both sides )
x = 9
It is true. Guptas did figure out the earth was round by observing lunar eclipses.
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>
