Answer:
EF = 58/7
Step-by-step explanation:
If you extend both BC and AD to meet at P you get 3 similar triangles PAB, PEF, and PCD. Let's call BF = 3x and FC = 4x. Therefore the following proportions can be expressed:
BP/7 = (BP+7x)/10
10BP = 7*(BP+7x)
10BP = 7BP+49x
3BP = 49x
BP = (49/3)x
BP/7 = (BP+3x)/EF
EF = (BP+3x)*7/BP
EF = ((49/3)x + 3x)*7/((49/3)x)
EF = ((58/3)x*7*3)/(49x)
EF = 58/7
Imagine cutting out the tilted side of the cylinder such that the cylinder becomes vertical on that side, then sticking the piece that you previously cut out to the opposite side. This will form a vertical cylinder exactly.
Formula for volume of cylinder:
Base area × Height
= Area of circle × Height
= pie × radius^2 × Height
{Radius of circle, as indicated in the question, is 4, and height is 6}
= pie × (4)^2 × 6
= pie × 16 × 6
= pie × 96
= 96pie units^3 {Again, this question does not have units written down for each number, so write down the word "units" instead, and with a power of 3 since this is a volume.}
Hope this helps!
Answer:
a) By graphing just one interval of length 
. b) Infinite number of angles, c) Infinite times.
Step-by-step explanation:
Any function is periodical when:
, 
Where is the period of the function. The periodicity of the function allows us to limit the graphing of the function to just an interval of one period and according to the definition, you can expect same output with n different angles (infinite number of angles and same output infinite times).
Answer:
The absolute error is <u>4 ft</u> and percent error of Tony's estimate is <u>9.8%</u>.
Step-by-step explanation:
Given:
Tony estimated the height of his office building to be 45ft. The actual height of his office building is 41ft.
Now, to find the absolute error and the percent error of Tony's estimate.
The height of his office building = 45ft.
The actual height of his office building = 41 ft.
So, to get the absolute error:
<em>The height of his office building - the actual height of his office building</em>
The absolute error = 4 ft.
Now, to get the percent error of Tony's estimate:
<em>Percent error of Tony's estimate rounding to nearest tenth = 9.8%.</em>
Therefore, the absolute error is 4 ft and percent error of Tony's estimate is 9.8%.
