What number goes into both 14 and 49?
1 answer:
You might be interested in
The observatory telescope has 22 times the magnifying power compared to the small telescope.
Data;
- small telescope = 150 times
- large telescope = 3300
To solve this question, we have to divide the large telescope by the small telescope to calculate it's magnifying power.
The magnification of the observatory telescope is 22 times greater or larger than the small telescope.
Learn more on division of numbers here;
As the exercise says, the triangles are similar. So, we can set up proportions between correspondent sides.
In order to solve for x we can set up the proportion between the horizontal and vertical sides:
Solving this proportion for x implies
Now you can solve for m and p using the pythagorean theorem, because both triangles are right:
Then, we know that the hypothenuse of the big triangle is m+p, so we have
which implies