Answer:
-0.25 ; 120 seconds 72 seconds
Step-by-step explanation:
Dive rate is constant :
Change in elevation after 8 seconds :
18 feets to 20 feets below
Rate of change = distance / time
(18 - 20) feets / 8 seconds
(-2 / 8) = - 0.25 feets per second
To reach 50.feets :
She needs to cover (50 - 20) = 30 feets
Time = distance / speed ; 30 feets / 0.25 = 120 seconds
Answer:
<em>K = 4.8</em>
Step-by-step explanation:
<u>Equation Solving</u>
We are given the equation:
F = 95K - 455.67
We are required to find the value of K when F=0:
95K - 455.67 = 0
Adding 455.67:
95K = 455.67
Dividing by 95;
K = 4.8
Answer:
y=2x-5
Step-by-step explanation:
Slope is rise over run, or y/x
The points given were (0,-5) and (-1,-3)
Using y2-y1/x2-x1 we can find the slope.
-3-(-5)/-1-0 = 2/-1 = -2 = slope
Next, we have to find the y-intercept. The y-intercept is where the point on the line meets the y-axis.
This point is shown at -5.
Now, putting our information into y=mx+b (slope-intercept form)
y=2x-5
2 is our slope
-5 is our y intercept
Answer:
37.7
Step-by-step explanation:
Large circle = 
r² = 5² = 78.54
Medium circle = 3²= 28.27
Small circle = 2²= 12.57
78.54-28.27-12.57 = 37.7
Let x be the unknown angle.
Make an equation using the formula.
<span>"measure of one acute angle is 3 times" Since we know that x is the one acute angle, we can multiply that by 3 to get 3x.
"</span><span>the sum of" when ever you see the word 'sum' it means that there will be an addition process involved and in this case it also means that 3x will equal to the rest of the equation. (3x=)
</span>
<span>"measure of the other acute angle and 8" We already know that the other angle is x . Since there is no other indicator of the 8 being subtracted, multiplied, and divided and that we know this is an addition problem, we can conclude that 8 will be added to the other angle. (x+8)
</span>
So, now we have the equation and all we have to do is simplify it.
3x= x+8
-x -x *Move constants and variables to opposite sides*
------------
2x=8
--- --- *Divide by 2 to isolate the variable*
2 2
x=4
So, I'm assuming you want to know the measure of both angles. All you have to do is plug in the x in the 3x and x+8 depending on which angle you want.
3x
3(4)=12
The measure of the first angle is 12.
x+8
4+8= 12
The measure of the second angle is also 12.
