Answer:
x < - 9
steps:
4x - 6(x + 1) > 12
2x - 3(x + 1) > 6
2x - 3x - 3 > 6
2x - 3x > 6 + 3
-x > 6 + 3
-x > 9
x < -9
hope this helps, have a great day
mark brainliest :)!!
220 .............................
1.D
2.D
3.C
4.C
5.D
6.2160
7.288
You really shouldn't be waiting untill 1 AM to do your homework!
Apply the Law of Sines.
sin A sin B sin C
------- = -------- = --------
a b c
Inserting the given data,
sin 36 sin B sin C
--------- = -------- = --------
250 300 420
300 sin 36
Then 300 sin 36 = 250 sin B, and sin B = ---------------- = 0.705
250
Thus, arcsin B = 0.783 rad = 44.857 degrees, or about 45 degrees.
Taking B to be 45 degrees and the given angle 36 deg, then the 3rd angle must be 180 - (45+36) = 99 degrees (which is opposite the 420-ft side).
At this point we apply Heron's formula. You should look this up on the 'Net.
a + b + c 250 + 300 + 420
First, we calculate S = --------------- = ------------------------ = 970/2 = 485
2 2
and then calculate sqrt (S(S-A)(S-B)(S-C):
Area of triangle / lot is then:
A = sqrt(485(485-250)(485-300)(485-420))
= sqrt(485(235)(185)(65) )
= 37021 square feet
