Answer:
Given
if p:q=2/3:3 and p:r=3/4:1/2, calculate the ratio p:q:r giving your answer in its simplest form
We need to find the ratio p:q:r
Given p:q = 2/3 : 3 = 2/3 / 3 = 2/9
and p : r = 3/4 : 1/2 = 3/4 / 1/2 = 3/2
Now p/q = 2/9 and p/r = 3/2
We need to make p equal numerators so we get
p/q = 2/9 x 3/3 = 6/27 and
p/r = 2/3 x 3/2 = 6/4
Therefore p : q : r = 6 : 27 : 4
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
Y = 4x + 3 ---------(1)
y = -x - 2 ---------(2)
Subtract (2) from (1), you get
0 = 5x + 5
⇒ 5x + 5 = 0
⇒ 5x = -5
⇒ x = -5/5 = -1
y = -(-1) - 2 = -1
Answer is (-1,-1)
Answer:
5/6 is your answer
Step-by-step explanation:
no. of favourable observation/ total no of observation
