Answer:
Step-by-step explanation:
<u>Use the law of cosines:</u>
- cos C = (a² + b² - c²)/(2ab)
<u>Apply to the given triangle and solve for x:</u>
- cos x = (52² + 48² - 70²)/(2*52*48)
- cos x = 108/4992
- cos x = 0.02163461538
- x = arccos 0.02163461538
- x = 88.76°
Answer:
B
Step-by-step explanation:
2^2 x 5^2 = 100
89% as a fraction would be 89/100 since it can not be reduced
1 yd = 3 ft = 36 in
36in x 2.5 = 90 inches of ribbon total
1 ft = 12 in + 6 in = 18 inches left over
90 in - 18 in = 72 inches of ribbon was used
Jasmine sells bracelet for "b" to a shop
The shop adds £6.20 to "b" and then sells it at that price. Therefore, the store's profit is £6.20 every time they sell one bracelet.
If the shop makes 80% profit on each bracelet, that means the £6.20 is 80% of the expense they incurred when they buy the bracelet off of Jasmine, in other words, 80% of "b".
So:
6.20 = .8b
b = £7.75
PART B:
Jasmine has 7 1/2 hours or 450 minutes to finish her duties for the fashion show.
For 15 necklaces that require 24 minutes each, that is a total of 15x24 = 360 minutes total to build the necklaces.
The show is 40 miles away. We assume she will travel the maximum 50 mph. So it will take her 40/50 hour or 4/5 hour or 48 minutes to get there.
She also allows 30 minutes for breaks. I'm not sure what this means, but I'm guessing she wants a 30 minute break somewhere in her day so she can get some rest. So we will include the 30 minutes as a requirement.
Therefore, it will take Jasmine 360 + 48 + 30 = 438 minutes in total.
She has 450 minutes available, thus she will be 450-438 = 12 minutes under the deadline.
