Answer:
A.2sinxcosx
Step-by-step explanation:
We know the trig identity
Sin (2a) = 2 sin a cos a
sin (2x) = 2 sin x cos x
Answer:
-The volume of the cone is 100.5 .
Step-by-step explanation:
To find the volume of cone, you need the formula:
-Use the radius and the height for the formula:
-Then, you solve:
× ×
× ×
×
-Round to the nearest tenth:
So, therefore, the volume of the cone is 100.5 .
Answer:
The number of ways he can elect the president,the vice President and the secretary is 1320 ways
Step-by-step explanation:
This is a permutation question.
Any of the 12 members can be the President , when this is done, any of the remaining 11 can be the vice president ,when this is done, any of the remaining 10 can be the secretary.
The required number of ways is;
12*11*10= 1320ways
Answer:
A
Step-by-step explanation:
You can divide 40 by 2.....this gives you 20.
Whatever you do to the top, do to the bottom.
Divide 50 by 2.....this gives you 25.
Your answer is 20/25
Answer:
AB = 2√106 ≈ 20.591
Step-by-step explanation:
The Pythagorean theorem says the square of the hypotenuse is equal to the sum of the squares of the legs.
For median AM, we have ...
AM² = CM² +AC² = (BC/2)² +AC²
For median BN, we have ...
BN² = CN² +BC² = (AC/2)² +BC²
The sum of these two equations is ...
AM² +BN² = BC²/4 +AC² +AC²/4 +BC² = (5/4)(AC² +BC²)
AM² +BN² = (5/4)(AB²)
The hypotenuse of triangle ABC is then ...
AB = √(4/5(AM² +BN²))
AB = 2√((19² +13²)/5)
AB = 2√106 ≈ 20.591