Answer:
The cosine of the angle is 4/5.
Step-by-step explanation:
An acute angle is between 0º and 90º, in the first quadrant of the trigonometric circle, in which both the sine and the cosine are positive values.
For each angle
, we have that:

We have that:

So




The cosine of the angle is 4/5.
The x-intercept will be the value of x when y=0. The solutions to (x+1)(x+2)=0 are -1 and -2 since we can substitute them in to have one of the values in parentheses equal to zero, so our x-intercepts are (-1, 0) and (-2, 0). The y-intercept is the value of y when x=0, or (0+1)(0+2)=2. Therefore, the y-intercept is (0, 2).
9514 1404 393
Answer:
C 3x +1 = y
Step-by-step explanation:
x-values increase by 1 from row to row.
y-values increase by 3 from row to row.
The slope of the linear function is the ratio of the y-increase to the x-increase:
m = ∆y/∆x = 3/1 = 3
The only offered choice with an x-coefficient of 3 is ...
C 3x +1 = y
__
If you check this against the table entries, you find it fits.
3(1) +1 = 4
3(2) +1 = 7
and so on.
Answer:
Frankie have 6 coins
Step-by-step explanation:
For every 5 coins Carmen gets ,she gives 2 to her brother Frankie
Out of 5 coins, Carmen given 2 to her brother Frankie
So Carmen has 3 coins and Frankie has 2 coins
Ratio of coins , Frankie to Carmen is
2: 3
We need to find the number of coins Frankie has if Carmen has 9 coins
ratio of Frankie to Carmen is x : 9
Now make a proportion and solve for x

Cross multiply it
2*9 = 3*x
18 = 3x
Now divide both sides by 3
so x= 6
Frankie have 6 coins
Answer:
3’5”
Step-by-step explanation:
14/4