Answer:
1 = 61
4 = 119
Step-by-step explanation:
Alternate angles
162 because for every 4 boys, there are 3 girls. Divide 216 by four and get 54, then multiply by 3 and get 162.
Answer:
Akira = 22 + 30x
Jen = 53 + 20x
for both of them to have sold the same number of tickets, the number of days for them to be able to sell the same amount is 3.1 days
Step-by-step explanation:
Answer: sin
= ±
Step-by-step explanation:
We very well know that,
cos2A=1−2sin²A
⟹ sinA = ±
As required, set A =
& cos a=
,thus we get
sin
=±
∴ sin
=±
= ±
since ,360° <
<450°
,180° <
<225°
Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.
hope it helped!
Answer:
y = - 3x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (3, - 5) ← 2 ordered pairs from table
m =
=
= - 3, thus
y = - 3x + c ← is the partial equation
To find c use any ordered pair from the table
Using (3, - 5 ), then
- 5 = - 9 + c ⇒ c = - 5 + 9 = 4
y = - 3x + 4 ← equation of line