174.97$ is the answer.
How I did it:
419.92 / 2.4 = 174.966 which rounds to 174.97$
Answer:
x=-4, y=7
Step-by-step explanation:
According to the first equation, y = -4x - 9, so we can substitute y in the second equation for -4x - 9.
y = 3x + 19
-4x - 9 = 3x + 19
Add 9 to both sides
-4x = 3x + 28
Subtract 3x
-7x = 28
Divide by -7
x = -4
Plugging this into the equation, we have:
y = -4x - 9
y = -4(-4) - 9
y = 16 - 9
y = 7
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
Answer:
324
Step-by-step explanation:
4×3=12
12×3=36
36×3=108
108×3=324
it's being multiplied by 3's
