Answer:
sin O = 
Step-by-step explanation:
given tan O = 
= 
Then this is a right triangle with legs 3 and 4
Using Pythagoras' identity then the hypotenuse (h ) is
h = 
= 
= 5, hence
sin O = 
=
Answer:
i think b
Step-by-step explanation:
(2,2). When x of the line is 2, y of the line must be 2.
(-2,-2). When x of the line is -2, y of the line must be -2.
(2,2). y=mx+b or 2=1 × 2+b, or solving for b: b=2-(1)(2). b=0.
(-2,-2). y=mx+b or -2=1 × -2+b, or solving for b: b=-2-(1)(-2). b=0.
The equation of the line that passes through the points
(2,2) and (-2,-2)
is
y=1x
b came out to be zero, so there is no "+b" term.
14.50 times 0.20 = 2.9
He would give a $2.90 as a tip of 20% from a bill of $14.50
Answer:
Step-by-step explanation:
1 ) Y∝ 1 / X
Y = k / X
Y = 9 , X = -5
Putting the values in the relation above
9 = k / - 5
k = -45
Y = - 45 / X
Put Y = - 6
- 6 = - 45 / X
X = - 45 / -6
= 7.5
2 )
Luke and Nora can peel 12 carrots in 5 minutes
in 1 minute Luke and Nora can peel 12 / 5 carrot
in 1 minute Luke alone can peel 12/ 11 carrot .
In 1 minute Nora alone will peel (12 / 5 - 12/ 11 ) carrot
(12 / 5 - 12 / 11 )
= 2.4 - 1.1
= 1.3 carrot
In 1 minute Nora alone will peel 1.3 carrot
1.3 carrot in 1 minute
8 carrot in 8 / 1.3 minute
= 6.15 minutes.
In 1 minute Nora alone will peel 8 carrot in 6.15 minutes working alone.
