Answer:
$9 per flower
Step-by-step explanation:
divide cost ($90) by the number of items (10 flowers)
Step-by-step explanation:
from the first shape bearing of C from D is the angle formed between the north pole and D = 100°
from the second second shape the bearing of C from D is the angle formed between the north pole and D= 235°
Answer: 54
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Explanation:
The first ratio is 1:6. The jump from 1 to 6 has us multiplying the 1 by 6 to get 6.
1*6 = 6
So we follow the same rule of "multiply by 6" to go from 9 to 54 (9*6 = 54)
Or you can use a proportion to get
1/6 = 9/x
1*x = 6*9 ... cross multiply
x = 54
and we get the same answer
Answer:
√(2 + √3)/4
Step-by-step explanation:
Sine 5π/12 = Sine (5π/6)/2
Recall
π = 180°
Thus,
Sine (5π/6)/2 = Sine (5×180 /6)/2
= Sine 150/2
Recall
Sine θ/2 = √(1 – Cos θ)/2
Thus,
Sine 150/2 = √(1 – Cos 150)/2
But, Cosine is negative in the 2nd quadrant. Thus,
Cos 150 = – Cos 30 = –√3/2
Thus,
√(1 – Cos 150)/2 = √(1 – –√3/2 )/2
= √(1 + √3/2 )/2
= √[(2 + √3)/2 ÷ 2]
= √[(2 + √3)/2 × 1/2]
= √(2 + √3)/4
Therefore,
Sine 5π/12 = √(2 + √3)/4
Answer:
Norman bought the shoes for $117.72
Step-by-step explanation:
In order to find the answer to this question, start by multiplying the cost by the markup.
$90 * 20% = $18.
Now we add the $18 to the original price.
$90 + $18 = $108
Now that we have the mark up price, we need to do the same using the tax.
$108 * 9% = $9.72
Finally, we add that to the previous total.
$108 + $9.72 = $117.72
