Answer:
The length of side x is 
Step-by-step explanation:
Pythagorean Theorem:
In a right triangle, with sides a and b, and hypothenuse h, we have that:
In this question:
The vertical line on the sides means that both are equal, that is, measuring x, so 
.
Hypothenuse is the square root of 12. So 
The length of side x is
321 times 23 is 7,383
3,829 divided by 1,221 is (rounded to the nearest hundredth) 3.14
(the real number was: 3.13595414)
Answer:
Yes
Step-by-step explanation:
The octopus chose the rectangles 68% of the time. From this observation you can tell that the octopus has learned there is food under the rectangular shape. Its cognitive abilities are less than a human's, but they are able to discern a rectangle from a circle with success.
Good luck ^^
Answer:
5k-17
Step-by-step explanation:
-14+5k-3=5k-14-3=5k-17
325 meters if using full height of 324 meters for tower
277 meters if using observation platform height of 276 meters.
When the depression is 37 degrees, you can create a right triangle with the angles 90, 37, and 53 degrees. The distance from a point directly underneath the observer will be:
h/tan(37)
where
h = height of the observer.
And when the depression is 72 degrees, the distance will be:
h/tan(72)
So the distance between the two points will be the absolute value of:
h/tan(72) - h/tan(37)
=(tan(37)h)/tan(37)tan(72) - tan(72)h/(tan(37)tan(72))
=(tan(37)h - tan(72)h) /(tan(37)tan(72))
=h(0.75355405 - 3.077683537)/(0.75355405 * 3.077683537)
=h(0.75355405 - 3.077683537)/(0.75355405 * 3.077683537)
=h(-2.324129487/2.319200894)
=h*-1.002125125
And since we're looking for absolute value
=h*1.002125125
As for the value of "h" to use, that's unspecified in the problem. If you take h
to be the height of the Eiffel Tower, then it's 324 meters. If you take h to be
the highest observation platform on the Eiffel Tower, then it's 276 meters. In
any case, simply multiply h by the value calculated above:
=h*1.002125125
=324*1.002125125
= 324.6885406 m
=h*1.002125125
=276*1.002125125
=276.5865346
