Answer: y= -1/2x + 5/2
Step-by-step explanation:
3x = 15 -6y
+6y + 6y
3x +6y =15
-3x -3x
6y= 15-3x divide both sides by 6
y= 15/6 - 3/6x
in slope intercept form us y= -3/6x + 15/6 in simplest form is y= -1/2x + 5/2
Answer:
old town has 150 steps
Step-by-step explanation:
Let the number of steps in the old tower be m
Mathematically, time = distance/speed
In this case, the distance is the number of steps while the speed is the rate of climbing or descending
For climbing, time spent = m/3
For descending time spent = m/2
Since it took her 25 longer when descending;
This means that;
m/2 - m/3 = 25
(3m-2m)/6 = 25
m/6 = 25
m = 6 * 25
m = 150 steps
Answer:
no this graph is not represent a function.
Answer:
Step-by-step explanation:
The Law of Sines is given by 
and works for any triangle.
Therefore, we have the proportion:
When we are given 3 sides, we try to solve the angles first by using the
law of cosines
cos (A) = [b^2 + c^2 - a^2] / (2 * b * c)
cos (A) = [43^2 + 17^2 -27^2] / (2 * 43 * 17)
cos (A) = [1,849 + 289 -729] /
<span>
<span>
<span>
1,462
</span></span></span>cos (A) = 1,409 / 1,462
cos (A) =
<span>
<span>
<span>
0.96374829001368
Angle A = 15.475
Now that we have one angle, we next can use the
Law of Sines
sin(B) / side b = sin(A) / side a
sin(B) = sin(A) * sideb / sidea
</span></span></span><span>sin(B) = sin(15.475) * 43 / 27
</span><span>sin(B) = 0.26682 * 43 / 27
sin (B) = </span><span>0.424935555555</span>
Angle B = 25.147 Degrees
Remember the arc sine (<span>0.424935555555) also equals </span>
<span>
<span>
<span>
154.85
</span></span></span>Finally, calculating the third angle is quite easy
Angle C = 180 - Angle (A) - Angle(B)
Angle C = 180 - 15.475 - 154.85
Angle C = 9.675
Source:
http://www.1728.org/trigtut2.htm
