8x11=88
88x3=264
so it would take him 264 minutes or 4 hours and 30 minutes
hope this helps you out friend!
Answer:
x = -1/10 or -0.1
Step-by-step explanation:
-1.8 - 6x = 6(0.1 + 3x)
-1.8 - 6x = 0.6 + 18x
-6x - 18x = 0.6 + 1.8
-24x = 2.4
-x = 2.4/24
-x = 24/10 / 24
-x = 24/10 * 1/24
-x = 24/240
-x = 1/10
x = -0.1
Answer:
43.531
Step-by-step explanation:
This problem needs the law of cosines since the three sides of the triangle are involved as well as one angle. The law of cosines is:
c^2 = a^2 + b^2 - 2ab*cos(C)
Where the lowercase letters are side values and capital letters are angle values. Just in case I will mention side a is the one with a length of 14, side b is 20 and c = 12.
Since it is asking for angle A instead of angle C we can rewrite the law of cosines to fit that, basically just rearranging the letters.
a^2 = c^2 + b^2 - 2cb*cos(A)
Now we just plug in and solve.
14^2 = 12^2 + 20^2 - 2*12*20*cos(A)
Rearrange to get A by itself
Now we take the inverse cosine, or arccos of both sides to get our answer.
Let me know if there is something in my explanation you don't understand.
Answer:
Step-by-step explanation:
Graph f(x) = |x| first. This graph looks like a "V" and has its vertex at (0, 0). It opens up.
Now translate the entire graph 1 unit to the left. You will now have the graph of g(x) = |x + 1|.
Now stretch this graph g(x) vertically by a factor of 8.
Finally, translate the entire resulting graph DOWN by 1 unit.