Roses cost 28.80 dollars per dozen. what is the cost per rose
1 answer:
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Answer: 6.82
Step-by-step explanation:
So we know the Law of Sines which is that Sin A/a = Sin B/b = Sin C/c. The Sin on top of the fraction is the angle, and the letter on the bottom is the side opposite from that angle.
Our first step is going to be finding the last angle. We have 2 angles already, but one that's missing. We know that all triangles' angles add up to 180, so we can add 68+40=108. Then do 180-108 to get 72. Now we know the third and final angle.
Ok so back to Law of Sines. Now we can plug into that equation. We only need Sin A/a = Sin B/b (It doesn't matter what order you put them in). And remember the lowercase letter at the bottom represents the OPPOSITE side from one of the angles. Since the problem wants the side opposite Sin 68, let's set up a proportion.
Set up we have what we know. We know one side, and opposite that is the angle we already solved for. Now we can cross multiply and end up with:
Since we want to isolate x, we can divide each side by Sin 72.
x= 7(Sin 68)/Sin 72
So now let's put it into the calculator:
7(Sin 68)=6.2853
Now let's divide 6.2853/Sin 72
And you should be left with 6.82 if you round it!
Answer:
637.5
Step-by-step explanation:
Love from Gauthmath.
Answer:
rule: f(n) = n³
missing numbers: 125, 216, 343, 512, 729
Step-by-step explanation:
Your familiarity with the cubes of small integers helps you recognize each of these numbers is a cube. Their sequence is the sequence of cubes of increasing natural numbers.
1 = 1·1·1 = 1³
8 = 2·2·2 = 2³
27 = 3·3·3 = 3³
64 = 4·4·4 = 4³
__
The rule is ...
f(n) = n³
The cubes of 5 through 9 will complete the set of numbers ...
1, 8, 27, 64, 125, 216, 343, 512, 729
Answer:
1. $35.075
2. 43.5 hours
3. 70%
4. Danny is correct
5. Abe's score out of the 30 points of the last quiz to get an overall checkup quiz grade of 80% should be 28.5
Step-by-step explanation:
The pay per hour for student tutors = $5.75
1. A tutor who worked 3.4 hours on Monday and 2.7 hours on Thursday has worked, 3.4 + 2.7 = 6.1 hours for the week, therefore
The week earning for the tutor = 6.1 × 5.75 = $35.075
2. The Club's tutoring budget per week = $250
The number of tutoring hours that can be provided per week is given by the relation;
3. The score of 21 out of 30 as a percentage is given as follows;
4. Where the second score is 45 out of a total of 60 points, we have;
Therefore, the increase in Abe's score is 5%, therefore, Danny is correct
5. To raise his checkup quiz grade to 80% overall, then we should have;
Where:
Q = The percentage grade of the last quiz
(145 + Q)×100 = 80×300 = 24000
145 + Q = 240
Q = 240 - 145 = 95%
Therefore, he has to score, 95% of 30 on the last quiz, which is thus;
Abe's score out of the 30 points of the last quiz to get an overall checkup quiz grade of 80% = 28.5 points.