Answer:
AC ≈ 2.96
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos65° = 
= 
= 
Multiply both sides by 7
7 × cos65° = AC , thus
AC ≈ 2.96 ( to the nearest hundredth )
<span>In this formula :
</span><span>y </span>tells us how far up the line goes
<span>x </span>tells us how far along
<span>m </span>is the Slope or Gradient i.e. how steep the line is
<span>b </span>is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the<span> line properties.</span><span> We shall now graph the line </span><span> 3x+2y-62 = 0</span><span> and calculate its properties
</span>
Notice that when x = 0 the value of y is 31/1 so this line "cuts" the y axis at y=31.00000
<span> y-intercept = 62/2 = 31
</span>
When y = 0 the value of x is 62/3 Our line therefore "cuts" the x axis at x=20.66667
<span> x-intercept = 62/3 = 20.66667
</span>
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 31.000 and for x=2.000, the value of y is 28.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 28.000 - 31.000 = -3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
<span> Slope = -3.000/2.000 = -1.500
</span><span>
1.Slope = -3.000/2.000 = -1.500
2.x-intercept = 62/3 = 20.66667<span>
3.y-intercept = 62/2 = 31
I got sources from a few websites so excuse if something is weird/wrong.
</span></span>
Answer:
It’s D
Step-by-step explanation:
Answer:
130 gallons initally, losing approx. 1.33333 gallons per minute, will be empty in approx 97.5 min
Step-by-step explanation:
1: y-intercept = (0, 130)
2: take two points (0, 130) & (30, 80)
use slope equation (80 - 130)/ (30 - 0) = -40/30 = -4/3
3: line equation is y=-4/3x+130
make y=0
0=-4/3x+130
-130=-4/3x
-130/-4/3=x
97.5=x
