Currently Josefin is 42. So let’s do doubled ages, since we’re adding 32 that means we have to be doubling 32. Which means Annette was 64, so 10 years ago!
Final answer: 10 years ago
Step-by-step explanation:
Think of a right triangle (refer the attached image). If you increase or decrease the length of one of its legs, while keeping the other leg the same (the hypotenuse will increase as well) here we have increased the length of the perpendicular side. You can see that the *subtending* angle (the angle which is opposite to the increasing leg, x) gets larger, while the *adjacent* angle (the angle with the increasing leg as one of its rays) will decrease.
and we know that:
and 
in both the cases the variation of AB is causing the angles to change hence, the ratios of sine and cosine depend upon the angle being a part of a right triangle.
M=97/9
Explanation: (in the picture)
Answer:
<u>Answers to questions:</u>
- 1. MP and MQ
- 2. PQ
- 3. PM
- 4. PN and NM
- 5. ∠NQM and ∠NMQ
Since the height of the pyramid is 3 times the radius of the cone we can
express height of the pyramid as a function of radius of the cone.
Let radius of cone = r
Then, height of the pyramid = 3r
Area of the base of the cone = pi x r^2 = area of the pyramid.
If the base dimensions of the pyramid are l and b, then area of the pyramid, l x b = pi x r^2.
The volume of the pyramid = 1/3 x l x b x h
We know, l x b = pi x r^2 and h = 3r.
Thus, volume of pyramid is = 1/3 x pi x r^2 x 3 r = pi x r^3
