Answer:
The exact value of tan(M) is 5/12 ⇒ answer (C)
Step-by-step explanation:
* Lets revise the trigonometry functions
- In ΔABC
# m∠B = 90°
# Length of AB = a , length of BC = b and length of AC = c
# The trigonometry functions of angle C are
- sin(C) = a/c ⇒ opposite side to ∠C ÷ the hypotenuse
- cos(C) = b/c ⇒ adjacent side to ∠C ÷ the hypotenuse
- tan(c) = a/b ⇒ opposite side to ∠C ÷ adjacent side to ∠C
* Now lets solve the problem
- In ΔONM
∵ m∠N = 90°
∵ MN = 12
∵ ON = 5
∵ tan(M) = ON/NM ⇒ opposite side of ∠(M) ÷ adjacent side of ∠(M)
∴ tan(M) = 5/12
* The exact value of tan(M) is 5/12
Arc length, (s)=(radius, r)(central angle, q)
s=rq
q=s/r
q=4/10
q=2/5, or 0.4 radians
Answer:
<u><em>B</em></u>
Step-by-step explanation:
- <em>4/1 * 1/3</em>
- <em>4 * 1 = 4</em>
- <em>1 * 3 = 3</em>
- <em>4/3; 1 1/3</em>
<em>Total number of coin that George has
16 + 28 + 32 + 4 = 80 coins
total number of coins sold by George
= 15% of 80
= 15/100 X 80
= 12 coins (ans)</em>
Answer:
(5:23), (5/23), or (5 to 23)
there are 5 bannanas to every 23 pieces of fruit there are.
