Answer:
36girls
Step-by-step explanation:
3/1*12=36. To check 36/12=3/1=3:1
Answer:
y = -1/2x + 1
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define variables</u>
Slope <em>m</em> = -1/2
y-intercept <em>b</em> = 1
<u>Step 2: Write linear function</u>
y = -1/2x + 1
To answer "which function has the smallest minimum," we'll first find the minimum of each one separately.
[1] f(x) = -3 sin(x - pi) + 2. No matter how crazy the inside of a sin function looks, the value of sin itself is always between 1 and -1. So, the minimum value for f(x) is -3*1 + 2 = -1.
[2] g(x). By looking at the table, we see that the minimum value is -1, which occurs when x = 3.
[3] h(x) = (x+7)^2 - 1. Notice that (x+7) is being squared, so the smallest that piece could be is 0 (you can never get a negative number out of (x+7)^2...). So, the minimum value of h(x) is 0 - 1 = -1.
At the end of the day, all three functions have the same minimum value! This can be confirmed on a graph. So, "which function has the smallest minimum value?" all of them!
Since the two angles, A and C are given to be 48° ang 46.7°, respectively, the value of angle B may be calculated by difference. Note that for a triangle, the sum of the angles is 180°. This makes the angle B equal to 85.3°. By the Sine Law,
b / sin B = a / sin A
Substituting,
b / sin 85.3° = 44 / sin 48°
The value of b from the equation is approximately equal to 59.01.