Step-by-step explanation:
1. Use the Pythagorean theorem to solve for side KM:
- 16^2+KM^2=34^2
- 256+KM^2=1156
- KM^2=900
- KM=30
2. Cosine is adjacent over hypotenuse, so cosine of M would be KM/34, or 30/34
3. Tangent is opposite over adjacent, so tangent of L will be KM/16, or 30/16
4. Sine is opposite over hypotenuse, so sine of M will be 16/34
5. KM=30, solved for in step 1.
hope this helps!!
Known :
r = 6
h = 8
Asked :
V = ...?
Answer :
V = ⅓πr²h
= ⅓ × 3.14 × 6² × 8
= ⅓ × 3.14 × 36 × 8
= 3.14 × 12 × 8
= 301.44 units²
= <u>3</u><u>0</u><u>0</u><u> </u><u>units²</u> (rounded)
So, the volume of the cone is 300 units²
<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>
0.00934579439 Now I'm just waiting until 20 charac- done
The share of Natasha is £ 42
<em><u>Solution:</u></em>
£70 is divided between Natasha, Richard & Stephen
Total amount = 70
Let the share of natasha be "x"
Let the share of richard be "y"
Let the share of stephen be "z"
Natasha gets twice as much as Richard
x = 2y ------ eqn 1
Richard gets three times as much as Stephen
y = 3z
----- eqn 2
Total amount = 70
share of natasha + share of richard + share of stephen = 70
x + y + z = 70
Substitute eqn 1 and eqn 2

Substitute y = 21 in eqn 1
x = 2y = 2(21) = 42
x = 42
Thus natasha gets £ 42