<h3>
Answer: 9.03</h3>
=====================================================
Explanation:
For now, focus solely on triangle HGF.
We'll need to find the measure of angle F.
Use the law of cosines
f^2 = g^2 + h^2 - 2*g*h*cos(F)
(4.25)^2 = 8^2 + 6^2 - 2*8*6*cos(F)
18.0625 = 100 - 96*cos(F)
18.0625-100 = -96*cos(F)
-81.9375 = -96*cos(F)
cos(F) = (-81.9375)/(-96)
cos(F) = 0.853515625
F = arccos(0.853515625)
F = 31.403868 degrees approximately
---------------------------
Now we can move our attention to triangle DEF.
We'll use the angle F we just found to find the length of the opposite side DE, aka side f.
Once again, we use the law of cosines.
f^2 = d^2 + e^2 - 2*d*e*cos(F)
f^2 = (4.75+8)^2 + (11+6)^2 - 2*(4.75+8)*(11+6)*cos(31.403868)
f^2 = 81.563478
f = sqrt(81.563478)
f = 9.031250 approximately
Rounding to two decimal places means we get the final answer of DE = 9.03
Answer:
[$937.60, $1,640.80]
Step-by-step explanation:
She always works at least 40 hours, so that's
$23.44 x 40= 937.6 this is the minimum
60-40=20
20 hours of overtime maximum
20 x $35.16= 703.2 (how much money max for overtime)
937.6+ 703.2=$1,640.80 (maximum money for overall)
Sharing three apples between 5 people gives each person 3/5 of an apple (or .6 or 60%.)
To solve this problem, all we need to do is multiply the amount charged for each carton by the amount of cartons that Bob shipped.
28 * 3300 = 92400
Bob earned $92,400 in sales from the gift cartons.
Hope that helped! =)
